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_300978_09a13883e93c090a | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $32,100 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 36 months. | 1,262,688.97 | [
"1,269,002.41",
"1,155,600.00",
"1,136,420.07"
] | 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 = 32,100 × 39.3361 = 1,262,688.97.
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": 731561800,
"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": 731561800,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_301978_911f5e0429be86c0 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $15,200 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 84 months. | 1,524,995.52 | [
"1,531,349.67",
"1,276,800.00",
"1,372,495.97"
] | 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 = 15,200 × 100.3287 = 1,524,995.52.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "1,531,349.67",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731569719,
"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": 731569719,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "1,524,995.52",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 84 periods.\nStep 1. Periodic rate r = 0.05/12 = 0.0042.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 100.3287.\nStep 3. FV = PMT × factor = 15,200 × 100.3287 = 1,... |
cosimo_CFA_Level_I_302978_0eaffe55d3828e7d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $73,300 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 36 months. | 2,926,876.38 | [
"2,943,949.83",
"2,638,800.00",
"2,634,188.74"
] | 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 = 73,300 × 39.9301 = 2,926,876.38.
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": 731577638,
"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": 731577638,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_303978_0488018de7d4c4ed | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $77,300 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 60 months. | 5,679,760.99 | [
"5,717,626.06",
"4,638,000.00",
"5,111,784.89"
] | 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 = 77,300 × 73.4769 = 5,679,760.99.
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": 731585557,
"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": 731585557,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_304978_22c4869b9ab87f2a | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $63,200 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 84 months. | 6,340,770.84 | [
"6,367,190.72",
"5,308,800.00",
"5,706,693.76"
] | 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 = 63,200 × 100.3287 = 6,340,770.84.
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": 731593476,
"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": 731593476,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_305978_283c785cf0cc6f68 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $19,100 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 120 months. | 2,812,471.27 | [
"2,821,846.17",
"2,292,000.00",
"2,531,224.14"
] | 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 = 19,100 × 147.2498 = 2,812,471.27.
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": 731601395,
"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": 731601395,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_306978_2a6771da20857816 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $10,700 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 120 months. | 1,852,007.44 | [
"1,862,810.82",
"1,284,000.00",
"1,666,806.70"
] | 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 = 10,700 × 173.0848 = 1,852,007.44.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "1,862,810.82",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731609314,
"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": 731609314,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "1,852,007.44",
"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 = 10,700 × 173.0848 = 1... |
cosimo_CFA_Level_I_307978_c769d5ed1370566d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $57,100 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 108 months. | 7,408,238.17 | [
"7,432,932.29",
"6,166,800.00",
"6,667,414.35"
] | 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 = 57,100 × 129.7415 = 7,408,238.17.
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": 731617233,
"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": 731617233,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_308978_d895c335909e77d9 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $26,400 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 72 months. | 2,429,468.58 | [
"2,445,665.04",
"1,900,800.00",
"2,186,521.72"
] | 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 = 26,400 × 92.0253 = 2,429,468.58.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,445,665.04",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731625152,
"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": 731625152,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,429,468.58",
"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 = 26,400 × 92.0253 = 2,42... |
cosimo_CFA_Level_I_309978_cec9b56c48506357 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $77,900 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 96 months. | 9,171,985.91 | [
"9,210,202.52",
"7,478,400.00",
"8,254,787.32"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 96 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 117.7405.
Step 3. FV = PMT × factor = 77,900 × 117.7405 = 9,171,985.91.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "9,210,202.52",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731633071,
"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": 731633071,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "9,171,985.91",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 96 periods.\nStep 1. Periodic rate r = 0.05/12 = 0.0042.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 117.7405.\nStep 3. FV = PMT × factor = 77,900 × 117.7405 = 9,... |
cosimo_CFA_Level_I_310978_62d8ec21bb21f0b0 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $36,600 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 36 months. | 1,418,372.08 | [
"1,424,281.96",
"1,317,600.00",
"1,276,534.87"
] | 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 = 36,600 × 38.7533 = 1,418,372.08.
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": 731640990,
"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": 731640990,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_311978_c5396e2072e4250a | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $61,800 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 108 months. | 9,261,280.60 | [
"9,315,304.74",
"6,674,400.00",
"8,335,152.54"
] | 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 = 61,800 × 149.8589 = 9,261,280.60.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "9,315,304.74",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731648909,
"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": 731648909,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "9,261,280.60",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 108 periods.\nStep 1. Periodic rate r = 0.07/12 = 0.0058.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 149.8589.\nStep 3. FV = PMT × factor = 61,800 × 149.8589 = 9... |
cosimo_CFA_Level_I_312978_47f9ebe53817db29 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $68,600 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 72 months. | 5,571,867.87 | [
"5,590,440.76",
"4,939,200.00",
"5,014,681.08"
] | 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 = 68,600 × 81.2226 = 5,571,867.87.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "5,590,440.76",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731656828,
"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": 731656828,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "5,571,867.87",
"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 = 68,600 × 81.2226 = 5,57... |
cosimo_CFA_Level_I_313978_f115b50605de034e | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $62,100 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 60 months. | 4,223,177.74 | [
"4,240,774.32",
"3,726,000.00",
"3,800,859.97"
] | 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 = 62,100 × 68.0061 = 4,223,177.74.
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": 731664747,
"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": 731664747,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_314978_1c1075acbfb9e329 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $39,300 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 48 months. | 2,214,551.66 | [
"2,229,315.34",
"1,886,400.00",
"1,993,096.50"
] | 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 = 39,300 × 56.3499 = 2,214,551.66.
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": 731672666,
"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": 731672666,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_315978_5d3856ca28014238 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $78,300 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 36 months. | 3,034,386.17 | [
"3,047,029.45",
"2,818,800.00",
"2,730,947.55"
] | 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 = 78,300 × 38.7533 = 3,034,386.17.
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": 731680585,
"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": 731680585,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_316978_9b240abdb6b3e374 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $82,100 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 84 months. | 8,544,469.42 | [
"8,587,191.77",
"6,896,400.00",
"7,690,022.48"
] | 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 = 82,100 × 104.0739 = 8,544,469.42.
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": 731688504,
"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": 731688504,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_317978_2d34fa19882d11c2 | 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 120 months. | 14,071,794.84 | [
"14,153,880.31",
"9,756,000.00",
"12,664,615.36"
] | 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 = 81,300 × 173.0848 = 14,071,794.84.
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": 731696423,
"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": 731696423,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_318978_63d8813ddf9f2b5c | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $69,400 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 36 months. | 2,649,800.43 | [
"2,658,633.10",
"2,498,400.00",
"2,384,820.38"
] | 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 = 69,400 × 38.1816 = 2,649,800.43.
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": 731704342,
"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": 731704342,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_319978_5f67651eef5dfbb9 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $87,500 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 96 months. | 10,302,294.83 | [
"10,345,221.05",
"8,400,000.00",
"9,272,065.34"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 96 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 117.7405.
Step 3. FV = PMT × factor = 87,500 × 117.7405 = 10,302,294.83.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "10,345,221.05",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731712261,
"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": 731712261,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "10,302,294.83",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 96 periods.\nStep 1. Periodic rate r = 0.05/12 = 0.0042.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 117.7405.\nStep 3. FV = PMT × factor = 87,500 × 117.7405 = 1... |
cosimo_CFA_Level_I_320978_b162587e2912da4f | 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 5% compounded monthly. Compute the future value after 36 months. | 2,325,200.13 | [
"2,334,888.47",
"2,160,000.00",
"2,092,680.12"
] | 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 = 60,000 × 38.7533 = 2,325,200.13.
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": 731720180,
"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": 731720180,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_321978_b2e45c086eabdbd8 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $30,700 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 120 months. | 5,031,095.95 | [
"5,056,251.43",
"3,684,000.00",
"4,527,986.35"
] | 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 = 30,700 × 163.8793 = 5,031,095.95.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "5,056,251.43",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731728099,
"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": 731728099,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "5,031,095.95",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 120 periods.\nStep 1. Periodic rate r = 0.06/12 = 0.0050.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 163.8793.\nStep 3. FV = PMT × factor = 30,700 × 163.8793 = 5... |
cosimo_CFA_Level_I_322978_cc4d39e7cc34c9a4 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $71,900 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 48 months. | 3,889,634.14 | [
"3,909,082.31",
"3,451,200.00",
"3,500,670.72"
] | 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 = 71,900 × 54.0978 = 3,889,634.14.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "3,909,082.31",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731736018,
"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": 731736018,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "3,889,634.14",
"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 = 71,900 × 54.0978 = 3,88... |
cosimo_CFA_Level_I_323978_e67e176b25688f2a | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $67,100 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 72 months. | 6,174,899.31 | [
"6,216,065.31",
"4,831,200.00",
"5,557,409.38"
] | 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 = 67,100 × 92.0253 = 6,174,899.31.
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": 731743937,
"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": 731743937,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_324978_12d3171541615de8 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $18,400 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 96 months. | 2,077,701.06 | [
"2,084,626.73",
"1,766,400.00",
"1,869,930.95"
] | 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 = 18,400 × 112.9185 = 2,077,701.06.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,084,626.73",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731751856,
"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": 731751856,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,077,701.06",
"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 = 18,400 × 112.9185 = 2,... |
cosimo_CFA_Level_I_325978_1ca414955a1e59c5 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $13,800 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 108 months. | 2,068,052.95 | [
"2,080,116.59",
"1,490,400.00",
"1,861,247.66"
] | 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 = 13,800 × 149.8589 = 2,068,052.95.
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": 731759775,
"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": 731759775,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_326978_23d70f4897e48f9c | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $41,700 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 96 months. | 5,582,319.91 | [
"5,619,535.38",
"4,003,200.00",
"5,024,087.92"
] | 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 = 41,700 × 133.8686 = 5,582,319.91.
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": 731767694,
"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": 731767694,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_327978_e2810cc08fadde36 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $62,800 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 60 months. | 4,381,557.92 | [
"4,403,465.71",
"3,768,000.00",
"3,943,402.12"
] | 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 = 62,800 × 69.7700 = 4,381,557.92.
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": 731775613,
"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": 731775613,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_328978_1e1c18d919730934 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $34,900 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 96 months. | 4,286,716.11 | [
"4,308,149.69",
"3,350,400.00",
"3,858,044.49"
] | 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 = 34,900 × 122.8285 = 4,286,716.11.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "4,308,149.69",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731783532,
"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": 731783532,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "4,286,716.11",
"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 = 34,900 × 122.8285 = 4,... |
cosimo_CFA_Level_I_329978_85218e8bc2775ce5 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $30,100 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 60 months. | 2,100,077.92 | [
"2,110,578.31",
"1,806,000.00",
"1,890,070.13"
] | 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 = 30,100 × 69.7700 = 2,100,077.92.
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": 731791451,
"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": 731791451,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_330978_83c1f8948980837b | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $22,000 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 120 months. | 3,807,865.76 | [
"3,830,078.31",
"2,640,000.00",
"3,427,079.19"
] | 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 = 22,000 × 173.0848 = 3,807,865.76.
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": 731799370,
"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": 731799370,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_331978_0be28737dd0d99f8 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $16,900 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 48 months. | 914,253.36 | [
"918,824.63",
"811,200.00",
"822,828.03"
] | 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 = 16,900 × 54.0978 = 914,253.36.
Step 4. Deposits are END-of-month → ordinary annuity stands. Dist... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "918,824.63",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731807289,
"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": 731807289,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "914,253.36",
"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 = 16,900 × 54.0978 = 914,25... |
cosimo_CFA_Level_I_332978_de936464e5aac619 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $28,700 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 48 months. | 1,617,242.56 | [
"1,628,024.18",
"1,377,600.00",
"1,455,518.31"
] | 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 = 28,700 × 56.3499 = 1,617,242.56.
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": 731815208,
"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": 731815208,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_333978_b53c7cbe3ffa9929 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $56,800 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 84 months. | 5,911,399.07 | [
"5,940,956.06",
"4,771,200.00",
"5,320,259.16"
] | 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 = 56,800 × 104.0739 = 5,911,399.07.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "5,940,956.06",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731823127,
"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": 731823127,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "5,911,399.07",
"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 = 56,800 × 104.0739 = 5,... |
cosimo_CFA_Level_I_334978_bd75f39778904914 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $44,800 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 84 months. | 4,334,586.33 | [
"4,349,034.95",
"3,763,200.00",
"3,901,127.70"
] | 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 = 44,800 × 96.7542 = 4,334,586.33.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "4,349,034.95",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731831046,
"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": 731831046,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "4,334,586.33",
"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 = 44,800 × 96.7542 = 4,33... |
cosimo_CFA_Level_I_335978_49a0554d6b40d273 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $61,200 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 48 months. | 3,310,787.33 | [
"3,327,341.27",
"2,937,600.00",
"2,979,708.60"
] | 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 = 61,200 × 54.0978 = 3,310,787.33.
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": 731838965,
"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": 731838965,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_336978_07491017a866812e | 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 7% compounded monthly. Compute the future value after 60 months. | 3,944,768.88 | [
"3,967,780.03",
"3,306,000.00",
"3,550,291.99"
] | 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 = 55,100 × 71.5929 = 3,944,768.88.
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": 731846884,
"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": 731846884,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_337978_dac83eaf088d7da4 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $32,000 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 60 months. | 2,232,640.98 | [
"2,243,804.18",
"1,920,000.00",
"2,009,376.88"
] | 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 = 32,000 × 69.7700 = 2,232,640.98.
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": 731854803,
"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": 731854803,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_338978_d4b2cb4119f33731 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $26,900 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 120 months. | 3,961,019.75 | [
"3,974,223.15",
"3,228,000.00",
"3,564,917.77"
] | 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 = 26,900 × 147.2498 = 3,961,019.75.
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": 731862722,
"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": 731862722,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_339978_75359b85d60c2c59 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $26,600 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 120 months. | 3,916,844.81 | [
"3,929,900.96",
"3,192,000.00",
"3,525,160.33"
] | 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 = 26,600 × 147.2498 = 3,916,844.81.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "3,929,900.96",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731870641,
"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": 731870641,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "3,916,844.81",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 120 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 147.2498.\nStep 3. FV = PMT × factor = 26,600 × 147.2498 = 3... |
cosimo_CFA_Level_I_340978_10d0746383fdf4e7 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $85,900 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 48 months. | 4,463,329.73 | [
"4,478,207.49",
"4,123,200.00",
"4,016,996.75"
] | 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 = 85,900 × 51.9596 = 4,463,329.73.
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": 731878560,
"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": 731878560,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_341978_1a44579294003e15 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $65,600 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 48 months. | 3,408,549.83 | [
"3,419,911.66",
"3,148,800.00",
"3,067,694.84"
] | 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 = 65,600 × 51.9596 = 3,408,549.83.
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": 731886479,
"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": 731886479,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_342978_02c241b855a42238 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $22,600 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 108 months. | 3,386,811.35 | [
"3,406,567.75",
"2,440,800.00",
"3,048,130.22"
] | 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 = 22,600 × 149.8589 = 3,386,811.35.
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": 731894398,
"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": 731894398,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_343978_e912df91ad2b10a1 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $70,900 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 84 months. | 7,113,301.46 | [
"7,142,940.22",
"5,955,600.00",
"6,401,971.32"
] | 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 = 70,900 × 100.3287 = 7,113,301.46.
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": 731902317,
"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": 731902317,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_344978_0031ba5d73665246 | 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 5% compounded monthly. Compute the future value after 48 months. | 2,634,839.79 | [
"2,645,818.29",
"2,385,600.00",
"2,371,355.82"
] | 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 = 49,700 × 53.0149 = 2,634,839.79.
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": 731910236,
"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": 731910236,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_345978_a185784c3725029f | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $55,500 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 96 months. | 6,266,978.74 | [
"6,287,868.66",
"5,328,000.00",
"5,640,280.86"
] | 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 = 55,500 × 112.9185 = 6,266,978.74.
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": 731918155,
"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": 731918155,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_346978_65d78cd9cdc72000 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $64,500 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 36 months. | 2,499,590.14 | [
"2,510,005.10",
"2,322,000.00",
"2,249,631.13"
] | 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 = 64,500 × 38.7533 = 2,499,590.14.
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": 731926074,
"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": 731926074,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_347978_5f90db8cbd636dbb | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $74,600 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 84 months. | 8,056,723.96 | [
"8,103,721.52",
"6,266,400.00",
"7,251,051.56"
] | 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 = 74,600 × 107.9990 = 8,056,723.96.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "8,103,721.52",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731933993,
"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": 731933993,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "8,056,723.96",
"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 = 74,600 × 107.9990 = 8,... |
cosimo_CFA_Level_I_348978_95a477aa35177cb9 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $39,200 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 36 months. | 1,519,130.75 | [
"1,525,460.46",
"1,411,200.00",
"1,367,217.68"
] | 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 = 39,200 × 38.7533 = 1,519,130.75.
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": 731941912,
"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": 731941912,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_349978_78df8593279bc319 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $20,500 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 108 months. | 3,072,107.64 | [
"3,090,028.27",
"2,214,000.00",
"2,764,896.88"
] | 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 = 20,500 × 149.8589 = 3,072,107.64.
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": 731949831,
"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": 731949831,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_350978_618b7fc2ae043d5c | 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 4% compounded monthly. Compute the future value after 36 months. | 2,749,072.49 | [
"2,758,236.06",
"2,592,000.00",
"2,474,165.24"
] | 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 = 72,000 × 38.1816 = 2,749,072.49.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,758,236.06",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731957750,
"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": 731957750,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,749,072.49",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 36 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 38.1816.\nStep 3. FV = PMT × factor = 72,000 × 38.1816 = 2,74... |
cosimo_CFA_Level_I_351978_5fc02ae7a07878cd | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $66,900 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 60 months. | 4,667,615.04 | [
"4,690,953.12",
"4,014,000.00",
"4,200,853.54"
] | 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 = 66,900 × 69.7700 = 4,667,615.04.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "4,690,953.12",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731965669,
"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": 731965669,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "4,667,615.04",
"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 = 66,900 × 69.7700 = 4,66... |
cosimo_CFA_Level_I_352978_6cc4a27c88f2fa44 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $43,400 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 60 months. | 2,951,464.00 | [
"2,963,761.76",
"2,604,000.00",
"2,656,317.60"
] | 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 = 43,400 × 68.0061 = 2,951,464.00.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,963,761.76",
"method": "reference_code_exec",
"recomputed": true,
"seed": 731973588,
"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": 731973588,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,951,464.00",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 60 periods.\nStep 1. Periodic rate r = 0.05/12 = 0.0042.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 68.0061.\nStep 3. FV = PMT × factor = 43,400 × 68.0061 = 2,95... |
cosimo_CFA_Level_I_353978_3c69ab927b4b5f63 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $17,300 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 108 months. | 2,469,400.27 | [
"2,481,747.27",
"1,868,400.00",
"2,222,460.24"
] | 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 = 17,300 × 142.7399 = 2,469,400.27.
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": 731981507,
"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": 731981507,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_354978_ab9469316e3104dd | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $88,100 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 120 months. | 12,972,707.80 | [
"13,015,950.16",
"10,572,000.00",
"11,675,437.02"
] | 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 = 88,100 × 147.2498 = 12,972,707.80.
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": 731989426,
"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": 731989426,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_355978_005defc36cbaaaf6 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $44,400 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 108 months. | 6,989,871.37 | [
"7,036,470.51",
"4,795,200.00",
"6,290,884.23"
] | 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 = 44,400 × 157.4295 = 6,989,871.37.
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": 731997345,
"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": 731997345,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_356978_5d73ce5f6c7f42f8 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $67,100 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 84 months. | 6,983,360.52 | [
"7,018,277.32",
"5,636,400.00",
"6,285,024.46"
] | 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 = 67,100 × 104.0739 = 6,983,360.52.
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": 732005264,
"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": 732005264,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_357978_4816e00f54db0ea9 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $31,100 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 84 months. | 3,120,221.09 | [
"3,133,222.02",
"2,612,400.00",
"2,808,198.98"
] | 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 = 31,100 × 100.3287 = 3,120,221.09.
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": 732013183,
"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": 732013183,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_358978_e5d78e07ae812dad | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $10,300 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 60 months. | 756,811.62 | [
"761,857.03",
"618,000.00",
"681,130.46"
] | 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 = 10,300 × 73.4769 = 756,811.62.
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": 732021102,
"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": 732021102,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_359978_7fc1d07a483bb847 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $54,800 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 72 months. | 4,886,019.71 | [
"4,914,521.49",
"3,945,600.00",
"4,397,417.74"
] | 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 = 54,800 × 89.1609 = 4,886,019.71.
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": 732029021,
"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": 732029021,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_360978_f15886b9b20e4a1b | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $61,000 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 36 months. | 2,472,669.02 | [
"2,489,153.48",
"2,196,000.00",
"2,225,402.12"
] | 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 = 61,000 × 40.5356 = 2,472,669.02.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,489,153.48",
"method": "reference_code_exec",
"recomputed": true,
"seed": 732036940,
"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": 732036940,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,472,669.02",
"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 = 61,000 × 40.5356 = 2,47... |
cosimo_CFA_Level_I_361978_927ed08e44a92a03 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $84,500 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 36 months. | 3,274,656.85 | [
"3,288,301.25",
"3,042,000.00",
"2,947,191.17"
] | 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 = 84,500 × 38.7533 = 3,274,656.85.
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": 732044859,
"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": 732044859,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_362978_d493d614b651e6e0 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $87,700 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 120 months. | 13,618,255.91 | [
"13,674,998.64",
"10,524,000.00",
"12,256,430.32"
] | 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 = 87,700 × 155.2823 = 13,618,255.91.
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": 732052778,
"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": 732052778,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_363978_a921d22e18a42a52 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $14,600 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 60 months. | 992,888.81 | [
"997,025.85",
"876,000.00",
"893,599.93"
] | 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 = 14,600 × 68.0061 = 992,888.81.
Step 4. Deposits are END-of-month → ordinary annuity stands. Dist... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "997,025.85",
"method": "reference_code_exec",
"recomputed": true,
"seed": 732060697,
"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": 732060697,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "992,888.81",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 60 periods.\nStep 1. Periodic rate r = 0.05/12 = 0.0042.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 68.0061.\nStep 3. FV = PMT × factor = 14,600 × 68.0061 = 992,88... |
cosimo_CFA_Level_I_364978_c55fdd40c4845555 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $51,400 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 36 months. | 2,083,527.67 | [
"2,097,417.85",
"1,850,400.00",
"1,875,174.90"
] | 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 = 51,400 × 40.5356 = 2,083,527.67.
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": 732068616,
"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": 732068616,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_365978_935cde5c9b157a40 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $78,600 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 60 months. | 5,345,278.11 | [
"5,367,550.10",
"4,716,000.00",
"4,810,750.30"
] | 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 = 78,600 × 68.0061 = 5,345,278.11.
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": 732076535,
"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": 732076535,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_366978_0150ec7dd71069e3 | 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 6% compounded monthly. Compute the future value after 60 months. | 5,197,867.27 | [
"5,223,856.61",
"4,470,000.00",
"4,678,080.55"
] | 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 = 74,500 × 69.7700 = 5,197,867.27.
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": 732084454,
"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": 732084454,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_367978_0b9c81568974aea5 | 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 5% compounded monthly. Compute the future value after 60 months. | 5,066,453.17 | [
"5,087,563.39",
"4,470,000.00",
"4,559,807.85"
] | 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 = 74,500 × 68.0061 = 5,066,453.17.
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": 732092373,
"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": 732092373,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_368978_07c6c8206ad7085c | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $26,500 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 36 months. | 1,011,811.40 | [
"1,015,184.11",
"954,000.00",
"910,630.26"
] | 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 = 26,500 × 38.1816 = 1,011,811.40.
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": 732100292,
"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": 732100292,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_369978_d0232ed4c28f1caf | 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 8% compounded monthly. Compute the future value after 108 months. | 14,074,200.46 | [
"14,168,028.46",
"9,655,200.00",
"12,666,780.42"
] | 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 = 89,400 × 157.4295 = 14,074,200.46.
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": 732108211,
"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": 732108211,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_370978_1decdc5d9faa088b | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $84,000 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 60 months. | 6,172,055.92 | [
"6,213,202.96",
"5,040,000.00",
"5,554,850.33"
] | 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 = 84,000 × 73.4769 = 6,172,055.92.
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": 732116130,
"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": 732116130,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_371978_7cd9cc14cb242aab | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $57,200 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 84 months. | 5,534,337.90 | [
"5,552,785.70",
"4,804,800.00",
"4,980,904.11"
] | 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 = 57,200 × 96.7542 = 5,534,337.90.
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": 732124049,
"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": 732124049,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_372978_9412ab17f36ac58e | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $53,700 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 72 months. | 4,941,759.96 | [
"4,974,705.02",
"3,866,400.00",
"4,447,583.96"
] | 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 = 53,700 × 92.0253 = 4,941,759.96.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "4,974,705.02",
"method": "reference_code_exec",
"recomputed": true,
"seed": 732131968,
"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": 732131968,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "4,941,759.96",
"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 = 53,700 × 92.0253 = 4,94... |
cosimo_CFA_Level_I_373978_3ff541f6bf1b3f2c | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $14,100 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 96 months. | 1,731,882.44 | [
"1,740,541.85",
"1,353,600.00",
"1,558,694.19"
] | 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 = 14,100 × 122.8285 = 1,731,882.44.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "1,740,541.85",
"method": "reference_code_exec",
"recomputed": true,
"seed": 732139887,
"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": 732139887,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "1,731,882.44",
"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 = 14,100 × 122.8285 = 1,... |
cosimo_CFA_Level_I_374978_f2b8050dd64b7bd2 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $22,500 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 84 months. | 2,522,549.42 | [
"2,539,366.42",
"1,890,000.00",
"2,270,294.48"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 84 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.1133.
Step 3. FV = PMT × factor = 22,500 × 112.1133 = 2,522,549.42.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,539,366.42",
"method": "reference_code_exec",
"recomputed": true,
"seed": 732147806,
"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": 732147806,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,522,549.42",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 84 periods.\nStep 1. Periodic rate r = 0.08/12 = 0.0067.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.1133.\nStep 3. FV = PMT × factor = 22,500 × 112.1133 = 2,... |
cosimo_CFA_Level_I_375978_80746618418925cb | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $14,500 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 84 months. | 1,625,642.96 | [
"1,636,480.58",
"1,218,000.00",
"1,463,078.67"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 84 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.1133.
Step 3. FV = PMT × factor = 14,500 × 112.1133 = 1,625,642.96.
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": 732155725,
"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": 732155725,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_376978_89ea50786ed5c651 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $31,000 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 72 months. | 2,517,899.48 | [
"2,526,292.47",
"2,232,000.00",
"2,266,109.53"
] | 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 = 31,000 × 81.2226 = 2,517,899.48.
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": 732163644,
"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": 732163644,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_377978_ea6a018d06b61a31 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $69,800 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 60 months. | 4,746,824.58 | [
"4,766,603.02",
"4,188,000.00",
"4,272,142.12"
] | 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 = 69,800 × 68.0061 = 4,746,824.58.
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": 732171563,
"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": 732171563,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_378978_e9fde5b76aa70924 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $27,400 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 60 months. | 1,816,592.00 | [
"1,822,647.31",
"1,644,000.00",
"1,634,932.80"
] | 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 = 27,400 × 66.2990 = 1,816,592.00.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "1,822,647.31",
"method": "reference_code_exec",
"recomputed": true,
"seed": 732179482,
"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": 732179482,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "1,816,592.00",
"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 = 27,400 × 66.2990 = 1,81... |
cosimo_CFA_Level_I_379978_30d356e35440e49b | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $11,300 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 96 months. | 1,330,467.79 | [
"1,336,011.40",
"1,084,800.00",
"1,197,421.01"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 96 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 117.7405.
Step 3. FV = PMT × factor = 11,300 × 117.7405 = 1,330,467.79.
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": 732187401,
"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": 732187401,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_380978_a70aa086868d2832 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $66,400 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 60 months. | 4,632,730.03 | [
"4,655,893.68",
"3,984,000.00",
"4,169,457.02"
] | 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 = 66,400 × 69.7700 = 4,632,730.03.
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": 732195320,
"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": 732195320,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_381978_ae58bf7068f1b411 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $73,900 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 120 months. | 11,475,360.45 | [
"11,523,174.45",
"8,868,000.00",
"10,327,824.41"
] | 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 = 73,900 × 155.2823 = 11,475,360.45.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "11,523,174.45",
"method": "reference_code_exec",
"recomputed": true,
"seed": 732203239,
"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": 732203239,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "11,475,360.45",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 120 periods.\nStep 1. Periodic rate r = 0.05/12 = 0.0042.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 155.2823.\nStep 3. FV = PMT × factor = 73,900 × 155.2823 = ... |
cosimo_CFA_Level_I_382978_39773d8afbf993d6 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $66,900 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 36 months. | 2,711,828.81 | [
"2,729,907.67",
"2,408,400.00",
"2,440,645.93"
] | 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 = 66,900 × 40.5356 = 2,711,828.81.
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": 732211158,
"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": 732211158,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_383978_c7e659d4b2e06dd6 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $56,400 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 84 months. | 6,091,142.51 | [
"6,126,674.18",
"4,737,600.00",
"5,482,028.26"
] | 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 = 56,400 × 107.9990 = 6,091,142.51.
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": 732219077,
"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": 732219077,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_384978_d68dbbc3d55fcfaa | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $29,400 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 60 months. | 1,949,189.96 | [
"1,955,687.26",
"1,764,000.00",
"1,754,270.96"
] | 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 = 29,400 × 66.2990 = 1,949,189.96.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "1,955,687.26",
"method": "reference_code_exec",
"recomputed": true,
"seed": 732226996,
"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": 732226996,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "1,949,189.96",
"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 = 29,400 × 66.2990 = 1,94... |
cosimo_CFA_Level_I_385978_96745ca834d72dd3 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $86,500 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 72 months. | 7,474,366.02 | [
"7,511,737.85",
"6,228,000.00",
"6,726,929.42"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 72 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 86.4089.
Step 3. FV = PMT × factor = 86,500 × 86.4089 = 7,474,366.02.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "7,511,737.85",
"method": "reference_code_exec",
"recomputed": true,
"seed": 732234915,
"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": 732234915,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "7,474,366.02",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 72 periods.\nStep 1. Periodic rate r = 0.06/12 = 0.0050.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 86.4089.\nStep 3. FV = PMT × factor = 86,500 × 86.4089 = 7,47... |
cosimo_CFA_Level_I_386978_e6289c92c5f9a59b | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $22,200 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 48 months. | 1,250,968.11 | [
"1,259,307.90",
"1,065,600.00",
"1,125,871.30"
] | 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 = 22,200 × 56.3499 = 1,250,968.11.
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": 732242834,
"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": 732242834,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_387978_5d3856ca28014238 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $78,300 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 36 months. | 3,034,386.17 | [
"3,047,029.45",
"2,818,800.00",
"2,730,947.55"
] | 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 = 78,300 × 38.7533 = 3,034,386.17.
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": 732250753,
"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": 732250753,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_388978_82559578432b44f6 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $48,600 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 120 months. | 7,546,718.78 | [
"7,578,163.44",
"5,832,000.00",
"6,792,046.90"
] | 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 = 48,600 × 155.2823 = 7,546,718.78.
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": 732258672,
"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": 732258672,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_389978_ce53af835619b6de | 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 8% compounded monthly. Compute the future value after 48 months. | 619,849.07 | [
"623,981.39",
"528,000.00",
"557,864.16"
] | 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 = 11,000 × 56.3499 = 619,849.07.
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": 732266591,
"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": 732266591,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_390978_89d417f24c901e5e | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $50,200 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 36 months. | 2,034,885.00 | [
"2,048,450.90",
"1,807,200.00",
"1,831,396.50"
] | 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 = 50,200 × 40.5356 = 2,034,885.00.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,048,450.90",
"method": "reference_code_exec",
"recomputed": true,
"seed": 732274510,
"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": 732274510,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,034,885.00",
"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 = 50,200 × 40.5356 = 2,03... |
cosimo_CFA_Level_I_391978_08c603aaf035d558 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $17,100 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 120 months. | 2,655,326.98 | [
"2,666,390.84",
"2,052,000.00",
"2,389,794.28"
] | 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 = 17,100 × 155.2823 = 2,655,326.98.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,666,390.84",
"method": "reference_code_exec",
"recomputed": true,
"seed": 732282429,
"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": 732282429,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,655,326.98",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 120 periods.\nStep 1. Periodic rate r = 0.05/12 = 0.0042.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 155.2823.\nStep 3. FV = PMT × factor = 17,100 × 155.2823 = 2... |
cosimo_CFA_Level_I_392978_c59ea7d8b809217d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $59,400 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 120 months. | 10,281,237.56 | [
"10,341,211.45",
"7,128,000.00",
"9,253,113.81"
] | 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 = 59,400 × 173.0848 = 10,281,237.56.
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": 732290348,
"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": 732290348,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_393978_6d70671aa337c37a | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $75,100 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 36 months. | 2,910,375.50 | [
"2,922,502.06",
"2,703,600.00",
"2,619,337.95"
] | 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 = 75,100 × 38.7533 = 2,910,375.50.
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": 732298267,
"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": 732298267,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_394978_03647cfd20634dcc | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $89,900 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 72 months. | 7,768,156.13 | [
"7,806,996.91",
"6,472,800.00",
"6,991,340.51"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 72 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 86.4089.
Step 3. FV = PMT × factor = 89,900 × 86.4089 = 7,768,156.13.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "7,806,996.91",
"method": "reference_code_exec",
"recomputed": true,
"seed": 732306186,
"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": 732306186,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "7,768,156.13",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 72 periods.\nStep 1. Periodic rate r = 0.06/12 = 0.0050.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 86.4089.\nStep 3. FV = PMT × factor = 89,900 × 86.4089 = 7,76... |
cosimo_CFA_Level_I_395978_d36af66a24de3225 | 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 108 months. | 13,067,696.91 | [
"13,143,925.14",
"9,417,600.00",
"11,760,927.21"
] | 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 = 87,200 × 149.8589 = 13,067,696.91.
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": 732314105,
"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": 732314105,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_396978_58026520d983182e | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $73,200 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 36 months. | 2,922,883.37 | [
"2,939,933.52",
"2,635,200.00",
"2,630,595.03"
] | 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 = 73,200 × 39.9301 = 2,922,883.37.
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": 732322024,
"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": 732322024,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_397978_5ea4ee7efe515a59 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $59,100 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 36 months. | 2,324,763.80 | [
"2,336,387.62",
"2,127,600.00",
"2,092,287.42"
] | 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 = 59,100 × 39.3361 = 2,324,763.80.
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": 732329943,
"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": 732329943,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_398978_737814aca129c283 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $89,900 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 72 months. | 7,301,908.48 | [
"7,326,248.17",
"6,472,800.00",
"6,571,717.63"
] | 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 = 89,900 × 81.2226 = 7,301,908.48.
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": 732337862,
"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": 732337862,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_399978_9b587e25e5616278 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $39,900 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 96 months. | 5,341,356.46 | [
"5,376,965.50",
"3,830,400.00",
"4,807,220.81"
] | 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 = 39,900 × 133.8686 = 5,341,356.46.
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": 732345781,
"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": 732345781,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
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