id string | program string | topic string | subtopic string | difficulty string | question_type string | question string | answer string | distractors list | reasoning_trace string | verified bool | verification dict | metadata dict | preference_pair dict |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
cosimo_CFA_Level_I_100978_9aa58790d436d2f7 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $14,700 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 96 months. | 1,805,579.56 | [
"1,814,607.46",
"1,411,200.00",
"1,625,021.61"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 96 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 122.8285.
Step 3. FV = PMT × factor = 14,700 × 122.8285 = 1,805,579.56.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 729978000,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 729978000,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_101978_abbcc4c46ed884ce | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $50,700 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 96 months. | 6,787,137.16 | [
"6,832,384.74",
"4,867,200.00",
"6,108,423.44"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 96 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 133.8686.
Step 3. FV = PMT × factor = 50,700 × 133.8686 = 6,787,137.16.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 729985919,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 729985919,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_102978_2fbcbc764a3f4c88 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $52,200 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 120 months. | 7,686,439.81 | [
"7,712,061.27",
"6,264,000.00",
"6,917,795.83"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 120 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 147.2498.
Step 3. FV = PMT × factor = 52,200 × 147.2498 = 7,686,439.81.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 729993838,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 729993838,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_103978_44359974ab2f7c63 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $76,600 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 84 months. | 7,411,368.59 | [
"7,436,073.15",
"6,434,400.00",
"6,670,231.73"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 84 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 96.7542.
Step 3. FV = PMT × factor = 76,600 × 96.7542 = 7,411,368.59.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730001757,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730001757,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_104978_7219225f9cba422f | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $86,800 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 108 months. | 12,389,823.30 | [
"12,451,772.41",
"9,374,400.00",
"11,150,840.97"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 108 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 142.7399.
Step 3. FV = PMT × factor = 86,800 × 142.7399 = 12,389,823.30.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "12,451,772.41",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730009676,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730009676,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "12,389,823.30",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 108 periods.\nStep 1. Periodic rate r = 0.06/12 = 0.0050.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 142.7399.\nStep 3. FV = PMT × factor = 86,800 × 142.7399 = ... |
cosimo_CFA_Level_I_105978_020497d84da4a339 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $86,700 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 120 months. | 15,861,421.25 | [
"15,967,164.06",
"10,404,000.00",
"14,275,279.13"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 120 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 182.9460.
Step 3. FV = PMT × factor = 86,700 × 182.9460 = 15,861,421.25.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730017595,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730017595,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_106978_e6e0c191cc42d63c | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $50,600 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 36 months. | 2,051,099.22 | [
"2,064,773.22",
"1,821,600.00",
"1,845,989.30"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 36 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 40.5356.
Step 3. FV = PMT × factor = 50,600 × 40.5356 = 2,051,099.22.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730025514,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730025514,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_107978_2e0f2c776ae993bb | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $54,600 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 48 months. | 3,076,705.36 | [
"3,097,216.73",
"2,620,800.00",
"2,769,034.83"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 48 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 56.3499.
Step 3. FV = PMT × factor = 54,600 × 56.3499 = 3,076,705.36.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730033433,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730033433,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_108978_f0a5c3837bf67a1d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $11,000 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 72 months. | 980,770.38 | [
"986,491.54",
"792,000.00",
"882,693.34"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 72 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 89.1609.
Step 3. FV = PMT × factor = 11,000 × 89.1609 = 980,770.38.
Step 4. Deposits are END-of-month → ordinary annuity stands. Dist... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730041352,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730041352,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_109978_fd9d2a9ff67c9239 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $57,900 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 60 months. | 4,145,229.01 | [
"4,169,409.51",
"3,474,000.00",
"3,730,706.10"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 60 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 71.5929.
Step 3. FV = PMT × factor = 57,900 × 71.5929 = 4,145,229.01.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "4,169,409.51",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730049271,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730049271,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "4,145,229.01",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 60 periods.\nStep 1. Periodic rate r = 0.07/12 = 0.0058.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 71.5929.\nStep 3. FV = PMT × factor = 57,900 × 71.5929 = 4,14... |
cosimo_CFA_Level_I_110978_0ba91fc3473e8b6d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $69,300 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 36 months. | 2,767,155.98 | [
"2,783,297.72",
"2,494,800.00",
"2,490,440.38"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 36 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.9301.
Step 3. FV = PMT × factor = 69,300 × 39.9301 = 2,767,155.98.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730057190,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730057190,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_111978_783b29094cb3d429 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $18,700 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 72 months. | 1,720,873.58 | [
"1,732,346.07",
"1,346,400.00",
"1,548,786.22"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 72 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 92.0253.
Step 3. FV = PMT × factor = 18,700 × 92.0253 = 1,720,873.58.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730065109,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730065109,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_112978_b58bdfbe7598ba4a | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $72,000 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 48 months. | 3,817,071.73 | [
"3,832,976.20",
"3,456,000.00",
"3,435,364.56"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 48 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 53.0149.
Step 3. FV = PMT × factor = 72,000 × 53.0149 = 3,817,071.73.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "3,832,976.20",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730073028,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730073028,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "3,817,071.73",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 48 periods.\nStep 1. Periodic rate r = 0.05/12 = 0.0042.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 53.0149.\nStep 3. FV = PMT × factor = 72,000 × 53.0149 = 3,81... |
cosimo_CFA_Level_I_113978_bef96af8d4f7ea1e | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $79,000 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 96 months. | 10,127,706.86 | [
"10,186,785.15",
"7,584,000.00",
"9,114,936.18"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 96 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 128.1988.
Step 3. FV = PMT × factor = 79,000 × 128.1988 = 10,127,706.86.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "10,186,785.15",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730080947,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730080947,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "10,127,706.86",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 96 periods.\nStep 1. Periodic rate r = 0.07/12 = 0.0058.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 128.1988.\nStep 3. FV = PMT × factor = 79,000 × 128.1988 = 1... |
cosimo_CFA_Level_I_114978_8b8a776ede8108a7 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $60,000 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 72 months. | 4,873,353.82 | [
"4,889,598.34",
"4,320,000.00",
"4,386,018.44"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 72 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 81.2226.
Step 3. FV = PMT × factor = 60,000 × 81.2226 = 4,873,353.82.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730088866,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730088866,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_115978_bb32c19c282e4d62 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $78,000 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 72 months. | 6,533,612.17 | [
"6,560,835.55",
"5,616,000.00",
"5,880,250.95"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 72 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 83.7643.
Step 3. FV = PMT × factor = 78,000 × 83.7643 = 6,533,612.17.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730096785,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730096785,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_116978_33809a0f51ef7c0f | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $36,900 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 60 months. | 2,641,778.07 | [
"2,657,188.44",
"2,214,000.00",
"2,377,600.26"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 60 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 71.5929.
Step 3. FV = PMT × factor = 36,900 × 71.5929 = 2,641,778.07.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730104704,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730104704,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_117978_c7b7a9a7b4707e29 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $79,500 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 96 months. | 10,191,806.27 | [
"10,251,258.48",
"7,632,000.00",
"9,172,625.64"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 96 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 128.1988.
Step 3. FV = PMT × factor = 79,500 × 128.1988 = 10,191,806.27.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730112623,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730112623,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_118978_8971f92bebe57e8d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $37,200 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 108 months. | 5,856,378.72 | [
"5,895,421.24",
"4,017,600.00",
"5,270,740.84"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 108 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 157.4295.
Step 3. FV = PMT × factor = 37,200 × 157.4295 = 5,856,378.72.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "5,895,421.24",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730120542,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730120542,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "5,856,378.72",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 108 periods.\nStep 1. Periodic rate r = 0.08/12 = 0.0067.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 157.4295.\nStep 3. FV = PMT × factor = 37,200 × 157.4295 = 5... |
cosimo_CFA_Level_I_119978_1e020188fb63588c | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $30,800 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 96 months. | 4,123,152.36 | [
"4,150,640.04",
"2,956,800.00",
"3,710,837.12"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 96 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 133.8686.
Step 3. FV = PMT × factor = 30,800 × 133.8686 = 4,123,152.36.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730128461,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730128461,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_120978_b6646d37640c1ef2 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $42,500 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 84 months. | 4,112,051.76 | [
"4,125,758.60",
"3,570,000.00",
"3,700,846.59"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 84 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 96.7542.
Step 3. FV = PMT × factor = 42,500 × 96.7542 = 4,112,051.76.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730136380,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730136380,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_121978_9cfa6fadb16a6218 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $49,700 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 60 months. | 3,651,799.76 | [
"3,676,145.09",
"2,982,000.00",
"3,286,619.78"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 60 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 73.4769.
Step 3. FV = PMT × factor = 49,700 × 73.4769 = 3,651,799.76.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "3,676,145.09",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730144299,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730144299,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "3,651,799.76",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 60 periods.\nStep 1. Periodic rate r = 0.08/12 = 0.0067.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 73.4769.\nStep 3. FV = PMT × factor = 49,700 × 73.4769 = 3,65... |
cosimo_CFA_Level_I_122978_b09fb4f424893ea2 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $80,500 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 60 months. | 5,616,487.46 | [
"5,644,569.89",
"4,830,000.00",
"5,054,838.71"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 60 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 69.7700.
Step 3. FV = PMT × factor = 80,500 × 69.7700 = 5,616,487.46.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "5,644,569.89",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730152218,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730152218,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "5,616,487.46",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 60 periods.\nStep 1. Periodic rate r = 0.06/12 = 0.0050.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 69.7700.\nStep 3. FV = PMT × factor = 80,500 × 69.7700 = 5,61... |
cosimo_CFA_Level_I_123978_ab2cf744c7652a2c | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $74,900 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 120 months. | 11,630,642.73 | [
"11,679,103.74",
"8,988,000.00",
"10,467,578.46"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 120 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 155.2823.
Step 3. FV = PMT × factor = 74,900 × 155.2823 = 11,630,642.73.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730160137,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730160137,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_124978_8cbd622bd5cf1b9f | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $58,400 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 108 months. | 7,576,902.08 | [
"7,602,158.42",
"6,307,200.00",
"6,819,211.87"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 108 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 129.7415.
Step 3. FV = PMT × factor = 58,400 × 129.7415 = 7,576,902.08.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730168056,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730168056,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_125978_fae70f78144ebd30 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $61,400 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 120 months. | 10,627,407.18 | [
"10,689,400.38",
"7,368,000.00",
"9,564,666.46"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 120 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 173.0848.
Step 3. FV = PMT × factor = 61,400 × 173.0848 = 10,627,407.18.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "10,689,400.38",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730175975,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730175975,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "10,627,407.18",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 120 periods.\nStep 1. Periodic rate r = 0.07/12 = 0.0058.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 173.0848.\nStep 3. FV = PMT × factor = 61,400 × 173.0848 = ... |
cosimo_CFA_Level_I_126978_1a343022ac78659f | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $46,500 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 60 months. | 3,244,306.42 | [
"3,260,527.95",
"2,790,000.00",
"2,919,875.78"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 60 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 69.7700.
Step 3. FV = PMT × factor = 46,500 × 69.7700 = 3,244,306.42.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730183894,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730183894,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_127978_02c675441dd785d1 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $54,300 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 84 months. | 5,253,750.84 | [
"5,271,263.35",
"4,561,200.00",
"4,728,375.76"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 84 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 96.7542.
Step 3. FV = PMT × factor = 54,300 × 96.7542 = 5,253,750.84.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "5,271,263.35",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730191813,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730191813,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "5,253,750.84",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 84 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 96.7542.\nStep 3. FV = PMT × factor = 54,300 × 96.7542 = 5,25... |
cosimo_CFA_Level_I_128978_2f63a4add13f22c1 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $50,500 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 84 months. | 5,453,948.53 | [
"5,485,763.22",
"4,242,000.00",
"4,908,553.67"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 84 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 107.9990.
Step 3. FV = PMT × factor = 50,500 × 107.9990 = 5,453,948.53.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "5,485,763.22",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730199732,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730199732,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "5,453,948.53",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 84 periods.\nStep 1. Periodic rate r = 0.07/12 = 0.0058.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 107.9990.\nStep 3. FV = PMT × factor = 50,500 × 107.9990 = 5,... |
cosimo_CFA_Level_I_129978_cb0827f336fb02e3 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $10,600 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 48 months. | 573,437.02 | [
"576,304.21",
"508,800.00",
"516,093.32"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 48 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 54.0978.
Step 3. FV = PMT × factor = 10,600 × 54.0978 = 573,437.02.
Step 4. Deposits are END-of-month → ordinary annuity stands. Dist... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "576,304.21",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730207651,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730207651,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "573,437.02",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 48 periods.\nStep 1. Periodic rate r = 0.06/12 = 0.0050.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 54.0978.\nStep 3. FV = PMT × factor = 10,600 × 54.0978 = 573,43... |
cosimo_CFA_Level_I_130978_e8bef80eb7c52912 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $28,600 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 36 months. | 1,108,345.40 | [
"1,112,963.50",
"1,029,600.00",
"997,510.86"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 36 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 38.7533.
Step 3. FV = PMT × factor = 28,600 × 38.7533 = 1,108,345.40.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730215570,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730215570,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_131978_097d41d4b7792efd | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $54,200 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 36 months. | 2,132,016.89 | [
"2,142,676.97",
"1,951,200.00",
"1,918,815.20"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 36 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.3361.
Step 3. FV = PMT × factor = 54,200 × 39.3361 = 2,132,016.89.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730223489,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730223489,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_132978_b2980ce160d7b66d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $35,700 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 60 months. | 2,366,873.52 | [
"2,374,763.10",
"2,142,000.00",
"2,130,186.17"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 60 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 66.2990.
Step 3. FV = PMT × factor = 35,700 × 66.2990 = 2,366,873.52.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730231408,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730231408,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_133978_ffdcbe8e5ab21d10 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $51,600 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 96 months. | 5,826,596.45 | [
"5,846,018.43",
"4,953,600.00",
"5,243,936.80"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.
Step 3. FV = PMT × factor = 51,600 × 112.9185 = 5,826,596.45.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730239327,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730239327,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_134978_aae96db002bb8fb5 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $54,900 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 96 months. | 6,199,227.61 | [
"6,219,891.71",
"5,270,400.00",
"5,579,304.85"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.
Step 3. FV = PMT × factor = 54,900 × 112.9185 = 6,199,227.61.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730247246,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730247246,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_135978_7533d4ed51de8778 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $87,400 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 108 months. | 11,890,175.32 | [
"11,939,717.72",
"9,439,200.00",
"10,701,157.79"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 108 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 136.0432.
Step 3. FV = PMT × factor = 87,400 × 136.0432 = 11,890,175.32.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730255165,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730255165,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_136978_d5fb95628403ca3a | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $50,500 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 84 months. | 5,255,733.32 | [
"5,282,011.99",
"4,242,000.00",
"4,730,159.99"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 84 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 104.0739.
Step 3. FV = PMT × factor = 50,500 × 104.0739 = 5,255,733.32.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730263084,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730263084,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_137978_361e0d160ba4032e | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $44,000 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 84 months. | 4,257,183.00 | [
"4,271,373.61",
"3,696,000.00",
"3,831,464.70"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 84 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 96.7542.
Step 3. FV = PMT × factor = 44,000 × 96.7542 = 4,257,183.00.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730271003,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730271003,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_138978_83014f3bc7d8f33e | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $83,500 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 108 months. | 11,918,781.63 | [
"11,978,375.54",
"9,018,000.00",
"10,726,903.47"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 108 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 142.7399.
Step 3. FV = PMT × factor = 83,500 × 142.7399 = 11,918,781.63.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730278922,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730278922,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_139978_ba42f49c549742c0 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $10,900 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 36 months. | 428,763.54 | [
"430,907.36",
"392,400.00",
"385,887.19"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 36 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.3361.
Step 3. FV = PMT × factor = 10,900 × 39.3361 = 428,763.54.
Step 4. Deposits are END-of-month → ordinary annuity stands. Dist... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730286841,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730286841,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_140978_feac76452fa08096 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $42,100 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 72 months. | 3,753,675.72 | [
"3,775,572.17",
"3,031,200.00",
"3,378,308.15"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 72 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 89.1609.
Step 3. FV = PMT × factor = 42,100 × 89.1609 = 3,753,675.72.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "3,775,572.17",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730294760,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730294760,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "3,753,675.72",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 72 periods.\nStep 1. Periodic rate r = 0.07/12 = 0.0058.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 89.1609.\nStep 3. FV = PMT × factor = 42,100 × 89.1609 = 3,75... |
cosimo_CFA_Level_I_141978_bd0ef2880e5d43e3 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $23,500 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 36 months. | 897,266.72 | [
"900,257.60",
"846,000.00",
"807,540.04"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 36 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 38.1816.
Step 3. FV = PMT × factor = 23,500 × 38.1816 = 897,266.72.
Step 4. Deposits are END-of-month → ordinary annuity stands. Dist... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730302679,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730302679,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_142978_2ce1e5f323d0ef29 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $74,700 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 48 months. | 4,124,129.94 | [
"4,148,187.37",
"3,585,600.00",
"3,711,716.95"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 48 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 55.2092.
Step 3. FV = PMT × factor = 74,700 × 55.2092 = 4,124,129.94.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730310598,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730310598,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_143978_88d56e7c12212ab0 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $89,400 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 60 months. | 5,927,128.65 | [
"5,946,885.75",
"5,364,000.00",
"5,334,415.78"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 60 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 66.2990.
Step 3. FV = PMT × factor = 89,400 × 66.2990 = 5,927,128.65.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730318517,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730318517,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_144978_fd6d75e6cc566a77 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $12,000 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 96 months. | 1,355,022.43 | [
"1,359,539.17",
"1,152,000.00",
"1,219,520.19"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.
Step 3. FV = PMT × factor = 12,000 × 112.9185 = 1,355,022.43.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "1,359,539.17",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730326436,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730326436,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "1,355,022.43",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.\nStep 3. FV = PMT × factor = 12,000 × 112.9185 = 1,... |
cosimo_CFA_Level_I_145978_8ecc8ffa75fa8c74 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $26,300 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 96 months. | 3,230,390.65 | [
"3,246,542.60",
"2,524,800.00",
"2,907,351.58"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 96 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 122.8285.
Step 3. FV = PMT × factor = 26,300 × 122.8285 = 3,230,390.65.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "3,246,542.60",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730334355,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730334355,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "3,230,390.65",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 96 periods.\nStep 1. Periodic rate r = 0.06/12 = 0.0050.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 122.8285.\nStep 3. FV = PMT × factor = 26,300 × 122.8285 = 3,... |
cosimo_CFA_Level_I_146978_ec8be656a95cfe68 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $77,800 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 72 months. | 6,936,721.41 | [
"6,977,185.62",
"5,601,600.00",
"6,243,049.27"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 72 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 89.1609.
Step 3. FV = PMT × factor = 77,800 × 89.1609 = 6,936,721.41.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730342274,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730342274,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_147978_e2326f438e36192b | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $45,200 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 96 months. | 6,050,859.95 | [
"6,091,199.02",
"4,339,200.00",
"5,445,773.96"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 96 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 133.8686.
Step 3. FV = PMT × factor = 45,200 × 133.8686 = 6,050,859.95.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730350193,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730350193,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_148978_5808c535dc272d65 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $48,500 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 36 months. | 1,936,609.88 | [
"1,947,906.78",
"1,746,000.00",
"1,742,948.90"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 36 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.9301.
Step 3. FV = PMT × factor = 48,500 × 39.9301 = 1,936,609.88.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "1,947,906.78",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730358112,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730358112,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "1,936,609.88",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 36 periods.\nStep 1. Periodic rate r = 0.07/12 = 0.0058.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.9301.\nStep 3. FV = PMT × factor = 48,500 × 39.9301 = 1,93... |
cosimo_CFA_Level_I_149978_3233655e2aff1a96 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $37,600 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 72 months. | 3,149,536.12 | [
"3,162,659.19",
"2,707,200.00",
"2,834,582.51"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 72 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 83.7643.
Step 3. FV = PMT × factor = 37,600 × 83.7643 = 3,149,536.12.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "3,162,659.19",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730366031,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730366031,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "3,149,536.12",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 72 periods.\nStep 1. Periodic rate r = 0.05/12 = 0.0042.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 83.7643.\nStep 3. FV = PMT × factor = 37,600 × 83.7643 = 3,14... |
cosimo_CFA_Level_I_150978_34c19606922bc854 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $19,800 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 96 months. | 2,235,787.01 | [
"2,243,239.63",
"1,900,800.00",
"2,012,208.31"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.
Step 3. FV = PMT × factor = 19,800 × 112.9185 = 2,235,787.01.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,243,239.63",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730373950,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730373950,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,235,787.01",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.\nStep 3. FV = PMT × factor = 19,800 × 112.9185 = 2,... |
cosimo_CFA_Level_I_151978_5e5473fb9fc19218 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $24,800 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 72 months. | 2,077,353.61 | [
"2,086,009.25",
"1,785,600.00",
"1,869,618.25"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 72 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 83.7643.
Step 3. FV = PMT × factor = 24,800 × 83.7643 = 2,077,353.61.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730381869,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730381869,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_152978_3948ebdcd95eb326 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $70,500 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 108 months. | 9,146,773.92 | [
"9,177,263.16",
"7,614,000.00",
"8,232,096.53"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 108 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 129.7415.
Step 3. FV = PMT × factor = 70,500 × 129.7415 = 9,146,773.92.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "9,177,263.16",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730389788,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730389788,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "9,146,773.92",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 108 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 129.7415.\nStep 3. FV = PMT × factor = 70,500 × 129.7415 = 9... |
cosimo_CFA_Level_I_153978_8ffb657a6969c69e | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $25,200 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 36 months. | 991,269.85 | [
"996,226.19",
"907,200.00",
"892,142.86"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 36 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.3361.
Step 3. FV = PMT × factor = 25,200 × 39.3361 = 991,269.85.
Step 4. Deposits are END-of-month → ordinary annuity stands. Dist... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730397707,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730397707,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_154978_5085235d44d94028 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $18,500 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 108 months. | 2,912,446.40 | [
"2,931,862.71",
"1,998,000.00",
"2,621,201.76"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 108 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 157.4295.
Step 3. FV = PMT × factor = 18,500 × 157.4295 = 2,912,446.40.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730405626,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730405626,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_155978_22a5272d91da5638 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $20,100 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 120 months. | 3,677,215.31 | [
"3,701,730.08",
"2,412,000.00",
"3,309,493.78"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 120 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 182.9460.
Step 3. FV = PMT × factor = 20,100 × 182.9460 = 3,677,215.31.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730413545,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730413545,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_156978_179d1fac01edec44 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $58,100 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 96 months. | 7,448,351.50 | [
"7,491,800.22",
"5,577,600.00",
"6,703,516.35"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 96 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 128.1988.
Step 3. FV = PMT × factor = 58,100 × 128.1988 = 7,448,351.50.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730421464,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730421464,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_157978_976c66c8e1991440 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $66,500 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 108 months. | 9,965,617.48 | [
"10,023,750.25",
"7,182,000.00",
"8,969,055.73"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 108 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 149.8589.
Step 3. FV = PMT × factor = 66,500 × 149.8589 = 9,965,617.48.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730429383,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730429383,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_158978_b9ee6c5fd6c78a0a | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $34,000 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 96 months. | 4,176,170.42 | [
"4,197,051.27",
"3,264,000.00",
"3,758,553.38"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 96 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 122.8285.
Step 3. FV = PMT × factor = 34,000 × 122.8285 = 4,176,170.42.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730437302,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730437302,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_159978_4f629fa2716991d3 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $61,300 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 84 months. | 6,379,731.74 | [
"6,411,630.40",
"5,149,200.00",
"5,741,758.56"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 84 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 104.0739.
Step 3. FV = PMT × factor = 61,300 × 104.0739 = 6,379,731.74.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "6,411,630.40",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730445221,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730445221,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "6,379,731.74",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 84 periods.\nStep 1. Periodic rate r = 0.06/12 = 0.0050.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 104.0739.\nStep 3. FV = PMT × factor = 61,300 × 104.0739 = 6,... |
cosimo_CFA_Level_I_160978_e96c6014f1c36661 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $52,800 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 48 months. | 2,743,466.93 | [
"2,752,611.82",
"2,534,400.00",
"2,469,120.24"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 48 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 51.9596.
Step 3. FV = PMT × factor = 52,800 × 51.9596 = 2,743,466.93.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730453140,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730453140,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_161978_2ce6e71af06cc8c5 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $88,900 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 84 months. | 9,252,172.13 | [
"9,298,432.99",
"7,467,600.00",
"8,326,954.92"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 84 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 104.0739.
Step 3. FV = PMT × factor = 88,900 × 104.0739 = 9,252,172.13.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730461059,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730461059,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_162978_a8a2b8f9d33729b3 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $86,400 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 48 months. | 4,489,309.53 | [
"4,504,273.89",
"4,147,200.00",
"4,040,378.57"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 48 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 51.9596.
Step 3. FV = PMT × factor = 86,400 × 51.9596 = 4,489,309.53.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "4,504,273.89",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730468978,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730468978,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "4,489,309.53",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 48 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 51.9596.\nStep 3. FV = PMT × factor = 86,400 × 51.9596 = 4,48... |
cosimo_CFA_Level_I_163978_d14496469fda39f4 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $34,400 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 108 months. | 5,415,576.02 | [
"5,451,679.86",
"3,715,200.00",
"4,874,018.41"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 108 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 157.4295.
Step 3. FV = PMT × factor = 34,400 × 157.4295 = 5,415,576.02.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730476897,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730476897,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_164978_f3cb0a414f789203 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $87,200 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 84 months. | 8,436,962.68 | [
"8,465,085.89",
"7,324,800.00",
"7,593,266.41"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 84 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 96.7542.
Step 3. FV = PMT × factor = 87,200 × 96.7542 = 8,436,962.68.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "8,465,085.89",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730484816,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730484816,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "8,436,962.68",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 84 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 96.7542.\nStep 3. FV = PMT × factor = 87,200 × 96.7542 = 8,43... |
cosimo_CFA_Level_I_165978_b99d40b03ebfbabe | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $66,600 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 72 months. | 5,409,422.74 | [
"5,427,454.15",
"4,795,200.00",
"4,868,480.47"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 72 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 81.2226.
Step 3. FV = PMT × factor = 66,600 × 81.2226 = 5,409,422.74.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "5,427,454.15",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730492735,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730492735,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "5,409,422.74",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 72 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 81.2226.\nStep 3. FV = PMT × factor = 66,600 × 81.2226 = 5,40... |
cosimo_CFA_Level_I_166978_e30b79af996aef14 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $52,300 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 72 months. | 4,812,924.50 | [
"4,845,010.67",
"3,765,600.00",
"4,331,632.05"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 72 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 92.0253.
Step 3. FV = PMT × factor = 52,300 × 92.0253 = 4,812,924.50.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "4,845,010.67",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730500654,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730500654,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "4,812,924.50",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 72 periods.\nStep 1. Periodic rate r = 0.08/12 = 0.0067.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 92.0253.\nStep 3. FV = PMT × factor = 52,300 × 92.0253 = 4,81... |
cosimo_CFA_Level_I_167978_0174b1ef1c64e100 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $87,200 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 60 months. | 6,242,901.02 | [
"6,279,317.95",
"5,232,000.00",
"5,618,610.92"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 60 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 71.5929.
Step 3. FV = PMT × factor = 87,200 × 71.5929 = 6,242,901.02.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "6,279,317.95",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730508573,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730508573,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "6,242,901.02",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 60 periods.\nStep 1. Periodic rate r = 0.07/12 = 0.0058.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 71.5929.\nStep 3. FV = PMT × factor = 87,200 × 71.5929 = 6,24... |
cosimo_CFA_Level_I_168978_18f8e46a3abb7e1d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $74,500 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 120 months. | 10,970,110.45 | [
"11,006,677.49",
"8,940,000.00",
"9,873,099.41"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 120 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 147.2498.
Step 3. FV = PMT × factor = 74,500 × 147.2498 = 10,970,110.45.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730516492,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730516492,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_169978_673f2889fdcb5a11 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $81,300 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 36 months. | 3,246,317.19 | [
"3,265,254.04",
"2,926,800.00",
"2,921,685.47"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 36 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.9301.
Step 3. FV = PMT × factor = 81,300 × 39.9301 = 3,246,317.19.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730524411,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730524411,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_170978_c4fa07e1c1f5fecf | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $67,300 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 84 months. | 7,268,331.40 | [
"7,310,730.00",
"5,653,200.00",
"6,541,498.26"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 84 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 107.9990.
Step 3. FV = PMT × factor = 67,300 × 107.9990 = 7,268,331.40.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730532330,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730532330,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_171978_dc7892101612ab9d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $13,500 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 84 months. | 1,354,436.81 | [
"1,360,080.30",
"1,134,000.00",
"1,218,993.13"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 84 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 100.3287.
Step 3. FV = PMT × factor = 13,500 × 100.3287 = 1,354,436.81.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730540249,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730540249,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_172978_18cb201ebcfc6c61 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $20,300 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 48 months. | 1,098,185.99 | [
"1,103,676.92",
"974,400.00",
"988,367.39"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 48 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 54.0978.
Step 3. FV = PMT × factor = 20,300 × 54.0978 = 1,098,185.99.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730548168,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730548168,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_173978_611fe7730d8ad64c | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $33,200 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 120 months. | 6,073,808.37 | [
"6,114,300.42",
"3,984,000.00",
"5,466,427.53"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 120 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 182.9460.
Step 3. FV = PMT × factor = 33,200 × 182.9460 = 6,073,808.37.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730556087,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730556087,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_174978_46bd6dde5f401558 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $17,700 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 72 months. | 1,628,848.25 | [
"1,639,707.24",
"1,274,400.00",
"1,465,963.43"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 72 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 92.0253.
Step 3. FV = PMT × factor = 17,700 × 92.0253 = 1,628,848.25.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "1,639,707.24",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730564006,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730564006,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "1,628,848.25",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 72 periods.\nStep 1. Periodic rate r = 0.08/12 = 0.0067.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 92.0253.\nStep 3. FV = PMT × factor = 17,700 × 92.0253 = 1,62... |
cosimo_CFA_Level_I_175978_73041298a8a2cdff | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $67,700 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 96 months. | 8,315,492.27 | [
"8,357,069.73",
"6,499,200.00",
"7,483,943.05"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 96 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 122.8285.
Step 3. FV = PMT × factor = 67,700 × 122.8285 = 8,315,492.27.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730571925,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730571925,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_176978_2d0f0cfec5e52d74 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $27,900 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 96 months. | 3,150,427.15 | [
"3,160,928.57",
"2,678,400.00",
"2,835,384.43"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.
Step 3. FV = PMT × factor = 27,900 × 112.9185 = 3,150,427.15.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730579844,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730579844,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_177978_e316f5dde1e3687b | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $64,800 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 36 months. | 2,626,704.14 | [
"2,644,215.50",
"2,332,800.00",
"2,364,033.73"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 36 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 40.5356.
Step 3. FV = PMT × factor = 64,800 × 40.5356 = 2,626,704.14.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,644,215.50",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730587763,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730587763,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,626,704.14",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 36 periods.\nStep 1. Periodic rate r = 0.08/12 = 0.0067.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 40.5356.\nStep 3. FV = PMT × factor = 64,800 × 40.5356 = 2,62... |
cosimo_CFA_Level_I_178978_0b409b6906e16916 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $21,500 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 96 months. | 2,427,748.52 | [
"2,435,841.01",
"2,064,000.00",
"2,184,973.67"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.
Step 3. FV = PMT × factor = 21,500 × 112.9185 = 2,427,748.52.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,435,841.01",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730595682,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730595682,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,427,748.52",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.\nStep 3. FV = PMT × factor = 21,500 × 112.9185 = 2,... |
cosimo_CFA_Level_I_179978_f2d2bd73b1f3b1fa | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $31,200 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 72 months. | 2,781,821.44 | [
"2,798,048.73",
"2,246,400.00",
"2,503,639.30"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 72 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 89.1609.
Step 3. FV = PMT × factor = 31,200 × 89.1609 = 2,781,821.44.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730603601,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730603601,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_180978_9bf6c547cf7f5549 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $61,300 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 60 months. | 4,168,772.88 | [
"4,186,142.77",
"3,678,000.00",
"3,751,895.59"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 60 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 68.0061.
Step 3. FV = PMT × factor = 61,300 × 68.0061 = 4,168,772.88.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730611520,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730611520,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_181978_79b247b22c2bffac | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $70,200 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 60 months. | 5,025,821.70 | [
"5,055,138.99",
"4,212,000.00",
"4,523,239.53"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 60 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 71.5929.
Step 3. FV = PMT × factor = 70,200 × 71.5929 = 5,025,821.70.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730619439,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730619439,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_182978_51e369b71e6f72db | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $37,400 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 96 months. | 4,794,635.91 | [
"4,822,604.62",
"3,590,400.00",
"4,315,172.32"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 96 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 128.1988.
Step 3. FV = PMT × factor = 37,400 × 128.1988 = 4,794,635.91.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730627358,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730627358,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_183978_fd064dd0706f7b67 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $47,400 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 36 months. | 1,921,385.44 | [
"1,934,194.67",
"1,706,400.00",
"1,729,246.89"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 36 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 40.5356.
Step 3. FV = PMT × factor = 47,400 × 40.5356 = 1,921,385.44.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730635277,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730635277,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_184978_e749b2383ffe181d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $49,500 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 48 months. | 2,677,842.69 | [
"2,691,231.91",
"2,376,000.00",
"2,410,058.43"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 48 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 54.0978.
Step 3. FV = PMT × factor = 49,500 × 54.0978 = 2,677,842.69.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730643196,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730643196,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_185978_a51a1e5ad1a6df63 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $41,200 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 72 months. | 3,673,430.88 | [
"3,694,859.22",
"2,966,400.00",
"3,306,087.79"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 72 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 89.1609.
Step 3. FV = PMT × factor = 41,200 × 89.1609 = 3,673,430.88.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730651115,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730651115,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_186978_b902cf9536190231 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $37,300 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 36 months. | 1,467,236.72 | [
"1,474,572.90",
"1,342,800.00",
"1,320,513.04"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 36 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.3361.
Step 3. FV = PMT × factor = 37,300 × 39.3361 = 1,467,236.72.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "1,474,572.90",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730659034,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730659034,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "1,467,236.72",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 36 periods.\nStep 1. Periodic rate r = 0.06/12 = 0.0050.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.3361.\nStep 3. FV = PMT × factor = 37,300 × 39.3361 = 1,46... |
cosimo_CFA_Level_I_187978_5428b489485989f2 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $47,300 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 96 months. | 6,331,983.98 | [
"6,374,197.20",
"4,540,800.00",
"5,698,785.58"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 96 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 133.8686.
Step 3. FV = PMT × factor = 47,300 × 133.8686 = 6,331,983.98.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "6,374,197.20",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730666953,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730666953,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "6,331,983.98",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 96 periods.\nStep 1. Periodic rate r = 0.08/12 = 0.0067.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 133.8686.\nStep 3. FV = PMT × factor = 47,300 × 133.8686 = 6,... |
cosimo_CFA_Level_I_188978_2d42ca212adc8a0d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $35,700 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 48 months. | 2,011,691.97 | [
"2,025,103.25",
"1,713,600.00",
"1,810,522.77"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 48 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 56.3499.
Step 3. FV = PMT × factor = 35,700 × 56.3499 = 2,011,691.97.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,025,103.25",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730674872,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730674872,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,011,691.97",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 48 periods.\nStep 1. Periodic rate r = 0.08/12 = 0.0067.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 56.3499.\nStep 3. FV = PMT × factor = 35,700 × 56.3499 = 2,01... |
cosimo_CFA_Level_I_189978_64e2b2df578d05cf | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $78,700 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 48 months. | 4,089,220.60 | [
"4,102,851.33",
"3,777,600.00",
"3,680,298.54"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 48 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 51.9596.
Step 3. FV = PMT × factor = 78,700 × 51.9596 = 4,089,220.60.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "4,102,851.33",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730682791,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730682791,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "4,089,220.60",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 48 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 51.9596.\nStep 3. FV = PMT × factor = 78,700 × 51.9596 = 4,08... |
cosimo_CFA_Level_I_190978_e5bec4af083b903e | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $21,200 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 84 months. | 2,289,578.39 | [
"2,302,934.26",
"1,780,800.00",
"2,060,620.55"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 84 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 107.9990.
Step 3. FV = PMT × factor = 21,200 × 107.9990 = 2,289,578.39.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730690710,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730690710,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_191978_9051ebeb56d2af2e | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $70,100 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 96 months. | 7,915,589.36 | [
"7,941,974.66",
"6,729,600.00",
"7,124,030.42"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.
Step 3. FV = PMT × factor = 70,100 × 112.9185 = 7,915,589.36.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730698629,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730698629,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_192978_c3b54f485c514643 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $78,900 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 48 months. | 4,268,318.96 | [
"4,289,660.56",
"3,787,200.00",
"3,841,487.07"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 48 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 54.0978.
Step 3. FV = PMT × factor = 78,900 × 54.0978 = 4,268,318.96.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730706548,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730706548,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_193978_1f0cec47a75104a3 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $76,400 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 108 months. | 10,393,700.16 | [
"10,437,007.25",
"8,251,200.00",
"9,354,330.15"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 108 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 136.0432.
Step 3. FV = PMT × factor = 76,400 × 136.0432 = 10,393,700.16.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730714467,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730714467,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_194978_42f7952a501ffb4f | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $55,100 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 36 months. | 2,233,509.23 | [
"2,248,399.29",
"1,983,600.00",
"2,010,158.31"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 36 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 40.5356.
Step 3. FV = PMT × factor = 55,100 × 40.5356 = 2,233,509.23.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730722386,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730722386,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_195978_208e1753eb1b9343 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $65,000 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 120 months. | 10,652,157.54 | [
"10,705,418.33",
"7,800,000.00",
"9,586,941.79"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 120 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 163.8793.
Step 3. FV = PMT × factor = 65,000 × 163.8793 = 10,652,157.54.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730730305,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730730305,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_196978_5fa31e3884b11cd7 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $76,100 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 60 months. | 5,045,352.24 | [
"5,062,170.08",
"4,566,000.00",
"4,540,817.02"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 60 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 66.2990.
Step 3. FV = PMT × factor = 76,100 × 66.2990 = 5,045,352.24.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "5,062,170.08",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730738224,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730738224,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "5,045,352.24",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 60 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 66.2990.\nStep 3. FV = PMT × factor = 76,100 × 66.2990 = 5,04... |
cosimo_CFA_Level_I_197978_518636806b59a8be | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $52,100 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 48 months. | 2,935,830.57 | [
"2,955,402.78",
"2,500,800.00",
"2,642,247.52"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 48 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 56.3499.
Step 3. FV = PMT × factor = 52,100 × 56.3499 = 2,935,830.57.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,955,402.78",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730746143,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730746143,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,935,830.57",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 48 periods.\nStep 1. Periodic rate r = 0.08/12 = 0.0067.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 56.3499.\nStep 3. FV = PMT × factor = 52,100 × 56.3499 = 2,93... |
cosimo_CFA_Level_I_198978_e52d77dda89e31fb | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $12,800 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 84 months. | 1,382,386.95 | [
"1,390,450.88",
"1,075,200.00",
"1,244,148.26"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 84 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 107.9990.
Step 3. FV = PMT × factor = 12,800 × 107.9990 = 1,382,386.95.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730754062,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730754062,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_199978_3450e4e4623e7a2f | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $36,400 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 84 months. | 3,788,290.95 | [
"3,807,232.41",
"3,057,600.00",
"3,409,461.86"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 84 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 104.0739.
Step 3. FV = PMT × factor = 36,400 × 104.0739 = 3,788,290.95.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "3,807,232.41",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730761981,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730761981,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "3,788,290.95",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 84 periods.\nStep 1. Periodic rate r = 0.06/12 = 0.0050.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 104.0739.\nStep 3. FV = PMT × factor = 36,400 × 104.0739 = 3,... |
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