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Last week, you purchased a $1,000 face value bond for $1,050. Today, you sold your bond for $1,040. What rate of return did you earn on this investment?
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How many positive, 3-digit integers contain at least one 3 and at least one 5?
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How do I prove that $\gcd(\frac{r}{\gcd(a,b)},\frac{b}{\gcd(a,b)}) = 1$, given that $a = qb +r$ for $r = \{0,1,2,3, ..., b-1\}$ and $\gcd(\frac{a}{\gcd(a,b)},\frac{b}{\gcd(a,b)}) = \gcd(\frac{qb+r}{\gcd(a,b)},\frac{b}{\gcd(a,b)}) = \gcd(\frac{r}{\gcd(a,b)},\frac{b}{\gcd(a,b)})$?
1
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Find the mean and standard deviation for the indicated sampling distribution of sample means. Assume the sample size is {eq}n = 36 {/eq}. U.S. Senators. The mean height of U.S. senators is 72.9 inches and the standard deviation is 5.8 inches.
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Which of the following is not a necessary condition for a short-run competitive equilibrium? a. Quantity demanded equals quantity supplied. b. Price equals marginal costs. c. Profit must be greater than zero. d. Price must equal exceed average variable costs.
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Make a substitution to express the integrand as a rational function and evaluate the integral: {eq}\int {{1 \over {x\sqrt {{x^2} + 1} }}} \ dx{/eq}
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Tatyana purchases 1,500 shares of Microsoft stock in 2014 for $25 per share. In 2019, she sells all of the Microsoft stock for $40 per share. Compute Tatyana's recognized gain if the stock sale is viewed as a long-term capital gain. A. $150,000 B. $22,500 C. $127,500 D. None of the above
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If a pollution tax is set "too high" relative to the level that achieves the efficient or desired pollution outcome: A. a cost effective result will be prevented B. too high a level of pollution will result but it will still be cost effective for that level of pollution C. too low a level of pollution will result an...
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Evaluate {eq}\nabla^2 (x^3yz^2) where {eq}\nabla^2 = \frac{\partial^2}{\partial x^2} + \frac{\partial^2}{\partial y^2} + \frac{\partial^2}{\partial z^2} and {eq}x,y,z are independent variables.
6xyz^2+2x^3y
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ABC Corporation produces large commercial doors for warehouses and other facilities. In the most recent month, the company budgeted production of 5,000 doors. Actual production was 5,300 doors. According to standards, each door requires 5.0 hours of labor; however, each door required 5.4 hours of labor. The standard di...
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What is the probability of selecting 3 defective items from a batch of 100 items (60% of which are defective) if you select 10 items at random?
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You own a portfolio equally invested in a risk-free asset and two stocks. One of the stocks has a beta of 1.45 and the beta of the portfolio is 1.65. What is the beta of the other?
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You have the opportunity to buy an investment that pays out quarterly, forever. If you pay $375,000 for the investment today, you will receive $20,000 at the end of the first quarter, $40,000 at the end of the second quarter, $60,000 at the end of the third quarter, and $80,000 at the end of the fourth quarter. What is...
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Be able to answer: If a monopolist is producing a quantity at which price is higher than average cost: a) marginal revenue will be greater than marginal cost. b) marginal cost will be greater than marginal revenue. c) the firm is not maximizing profit. d) the average cost curve is upward sloping. e) profits will b...
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Which type of afferent neuron primarily senses carbon dioxide levels (via protons)? A. Proprioceptors. B. Central chemoreceptors. C. Baroreceptors. D. Peripheral chemoreceptors.
B
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Amster Corporation, which began business at the start of the current year, had the following transactions: 1. Purchased $20,000 of inventory on account under terms 2/10, n/30. 2. Returned $1,500 of merchandise (list price) to a supplier before payment was made. 3. Paid a supplier for $17,500 of merchandise within th...
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Lorske Corporation had a December 31, 2006 inventory of 14,000 units of merchandise that cost $10 each. During 2007 Lorske purchased 140,000 units of merchandise at a cost of $15 each and sold 141,000 units at $30 each. If Lorske used LIFO to calculate ending inventory and cost of goods sold during 2007, the cost of go...
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Find the distance between the two lines: x = 2 + t, y = 1 + 6t, z = 2t and x = 1 + 2s, y = 6 + 14s, z = -1 + 5s
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In the short run, when an increase in the money supply lowers the interest rate and increases investment spending, _____. a) current consumption falls b) current consumption rises c) future consumption rises d) future consumption falls
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An account pays interest at a nominal rate of 10% with quarterly compounding. How long will it take to double in value?
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Let {eq}F = 2 \left \langle \frac{-y + xy^2 + x^3}{x^2 + y^2}, \; \frac{x + x^2 y + y^3}{x^2 + y^2} \right \rangle{/eq}. Evaluate the integral {eq}\oint_{C} F \cdot \mathrm{d}r{/eq} where {eq}C{/eq} is a counter-clockwise oriented curve defined by {eq}x^2 + y^6 = 1{/eq}.
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Plant assets acquired during the year cost $800,000 and are being depreciated at the rate of $40,000 per year. Cash dividends received on investments during the year totaled $3,000. Included in income before income taxes are $12,000 of interest revenue and a $25,000 loss on the sale of land. The corporation's income ta...
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Approximate the value of {eq}P(0.45){/eq} given that the random variable X has a continuous distribution with the density function: {eq}f(x) = 4x^3, \ \ \ \ 0<x<1{/eq} {eq}P(0.45) = \frac{?}{?}{/eq} = 0.1134 {eq}(\pm 0.0001){/eq}.
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It was reported earlier in the year that the U.S. Dairy farmers have seen a "souring" or softening in their demand for their product. Which of the following would cause the global demand curve for milk to shift to the left? a. Domestic issues in Russia, Venezuela, and other countries, which have caused reductions in i...
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A stock has a beta of 1.10, the expected return on the market is 12.00%, and the risk-free rate is 4.50%. What must the expected return on this stock be?
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A monopolist is currently producing a level of output at which the price elasticity of demand is -2 and profits are negative. If the firm: a. decreases price, it will increase profits b. increases price, it will increase profits c. increases price, it will decrease profits d. quantity sold is not necessarily an imp...
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Each of the following is an adjustment to convert net income to net cash provided by operating activities except: a. adding back noncash expenses. b. adding gains and deducting losses. c. analyzing changes to noncash current asset and current liability accounts. d. All of these answer choices are adjustments.
d
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Suppose a firm sells labor, \( L \), and capital, \( K \), in perfectly competitive markets. Which of the following statements is true: A. The optimal capital-labor ratio depends on the market wage. B. The optimal capital-labor ratio depends on the market price of the product the firm produces. C. The optimal capita...
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ZyCo is considering a project with a $29,000 opportunity cost and cash flow of $26,000 in year 1 and $29,000 in year 2. The appropriate discount rate is 8.6%. The internal rate of return for this project is: a. between 0% and 8.6%. b. 8.6%. c. between 8.6% and 12%. d. 12%. e. more than 12%.
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What would we expect an increase in the average population age to do to the equilibrium interest rate? A. Increase the interest rate. B. Decrease the interest rate.
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How does the elastic demand for a product influence the profitability of the product under perfect competition? How can a firm maximize its profits under perfect competition?
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In the goods market, a) Inflation uniquely determines the equilibrium level of employment. b) Wage bargaining is central to our understanding of equilibrium. c) The working age population that is employed is irrelevant. d) The higher the interest rate the lower the equilibrium level of output.
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Find the solution of the differential equation: {eq}y''+y'+5y=0,\ y(0)= \ y'(0)=0 {/eq}
y(x) = 0
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Calculate the stock price for a company with earnings per share of $3.42, and a P/E ratio of 13.87.
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Taking two tests, one is the probability that a person will pass on the first test and the other is the probability that a person will pass the second test. Out of 1500 individuals tested on each test, 1200 passed the first test and 1000 passed the second test. Out of 1500 people who took both tests, 800 passed both te...
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A major disadvantage of the payback period method is it: A) is useless as a risk indicator. B) ignores cash flows beyond the payback period. C) does not directly account for the time value of money. D) All of the above are correct. E) Only answers B and C are correct.
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I want to prove that $$\lim_{n\rightarrow \infty}\frac{1}{n}\log(n!)=1$$ by showing that $f(x)=x\log x$ is an integrable function on $[1,n]$, and that $$\int_{1}^{n}f=\sum_{k=1}^{n}\log k -1=\log(n!)-1$$ How can I show that $f$ is integrable?
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What is the limit of the following sequence $\frac{1}{(n+1)2^{n}}+\frac{1}{(n+2)2^{n-1}}+\cdots+\frac{1}{(n+n)2^{n}}$ as $n$ approaches infinity?
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The purchase of treasury Stock: a. Decreases common stock authorized. b. Decreases common stock issued. c. Decreases common stock outstanding. d. Has no effect on common stock outstanding. e. Has no effect on the stockholder's equity section of the balance sheet.
c
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If a consumer's marginal rate of substitution is greater than the relative price of the goods, the consumer is: a. perhaps at his or her best affordable point. b. at his or her best affordable point. c. not at his or her best affordable point and should move along his or her indifference curve to a higher budget lin...
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Current unemployment minus cyclical unemployment is referred to as: a. present rate of unemployment. b. structural unemployment. c. frictional unemployment. d. hidden unemployment.
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Long-term inflation expectations would be most likely to decrease if there was an increase in the demand for a country's domestic currency due to a revaluation of that currency. a. true b. false
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On 1 January 2008, Elegant Fragrances Company issued $1 million worth of five-year bonds with annual interest payments of $55,000 paid each 31 December. The market interest rate is 6.0 percent. Using the effective interest rate method of amortizing, Elegant Fragrances is most likely to record? a. interest expense of ...
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Compute the surface integral of the vector field {eq}F = -zj + xk {/eq} over the sphere {eq}S {/eq} of radius {eq}2 {/eq} centered at the origin.
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Find the value of {eq}\frac{d^2y}{dx^2}{/eq} at the point defined by {eq}x = t - sin \ t, y = 1 - cos \ t, t = \frac{\pi}{3}{/eq}.
-4
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A mutant yeast cell is unable to utilize phosphate. Which one of the following statements best describes this mutation? A. The cell will not be able to generate ATP B. The citric acid cycle and oxidative phosphorylation will be unaffected by the mutation C. Phosphofructokinase will no longer be an important regulato...
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Consider a small open economy with the following trade balance and capital stock statistics: Total value of imports = $50 billion Total value of exports = $10 billion Stock of foreign assets held by residents = $35 billion Stock of domestic assets held by foreigners = $40 billion In order to maintain the current stock...
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A cellphone provider wants to determine the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 500 subscribers, and the results indicate that 135 of the subscribers would upgrade to a...
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If a law that requires a manufacturer to deal with every distributor were to be lifted: a. The manufacturer does worse in negotiations because now distributors have a lower disagreement value. b. The manufacturer does worse in negotiations because now the gains from reaching an agreement have fallen. c. The manufact...
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Suppose that Apple and the investors buying the firm's bonds both expect a 3% inflation rate for the year. Further, suppose the nominal interest rate on bonds is 7% and the expected real interest rate is 4%. Now suppose that a year after the investors purchase the bonds, the inflation rate turns out to be 2%, rather th...
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You have just purchased a 5-year, $1,000 par value bond. The coupon rate on this bond is 12%, and the interest is paid annually. If you expect to earn a 10 percent yield to maturity on this bond, how much did you pay for it?
1075.82
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Sweeten Company had no jobs in progress at the beginning of March and no beginning inventories. It started, completed, and sold only two jobs during March-Job P and Job Q. The following additional information is available for the company as a whole and for Jobs P and Q: Estimated total fixed manufacturing overhead $11...
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Find the index of $H=\left \langle \left(\begin{array}{cc} 0&1\\ -1&0\end{array}\right)\right \rangle$ in $G=\text{GL}_{2}(\mathbb{Z}/2\mathbb{Z})$.
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Hoyt Corporation's balance sheet at December 31, 20X1 included a {eq}\$38,400 {/eq} account receivable from Kriner Corporation of Japan. The account receivable is denominated as {eq}60,000 {/eq} Japanese yen {eq}(Y\$) {/eq}. What entry should Hoyt make on January 16, 20X1 when the account receivable is collected and...
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Consider $n$ independent trials of an experiment in which each trial has a probability $p$ of success. How many of the trials $X$ must be performed so that the probability of observing at least one success is at least $99\%$?
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Based on the time value of money concepts, if an investment has a positive net present value, then: A. The investment will produce a rate of return greater than the rate used in the net present value computation. B. The investment will produce a rate of return less than the rate used in the net present value computat...
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You have $10,000 and you want to know if Utes,LLC is a good buy. The firm's total risk is 15%, its systematic risk is 0.8, the t-bill rate is 1.2%, the 30 year treasury rate is 3.5%, and the average market return is 9.5%. According to the CAPM, what is the expected return on Utes, LLC?
7.84%
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During fiscal year 2012, Virchow Inc. recorded $10,000 of depreciation on a piece of factory equipment used to manufacture cricket bats. Which of the following items would be increased by this depreciation entry? A. Accumulated Depreciation B. Net Property, Plant, and Equipment C. Work in Process Inventory D. Cu...
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How competitors calculate inventory cost is least likely to affect comparisons between competitors if inventory makes up a: A.) large percentage of assets and inventory costs are stable. B.) large percentage of assets and inventory costs are not stable. C.) small percentage of assets and inventory costs are stable. ...
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What is the probability that 2 or more bad oranges are picked when randomly selecting 10 oranges from a crate containing 20 oranges, of which 5 are bad, using the binomial distribution?
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Following are selected accounts for Green Corporation and Vega Company as of December 31, 2013. Several of Green's accounts have been omitted. Green Vega Revenues $   900,000 $    500,000 Cost of goods sold $   360,000 $    200,000 Depreciation e...
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For the question below, first determine the null and alternative hypotheses. Then, determine the type of hypothesis test. The mean IQ of a randomly selected group of 49 statistics students is 101. IQ scores are known to have a standard deviation of 12. The question is: Does this mean that the mean IQ of all the statis...
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Complete the square in the denominator, make appropriate substitution, and integrate: {eq}\int \frac{1}{x^2 + 6x + 10} dx{/eq}
arctan(x+3) + C
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Plowman Products pays a constant dividend of {eq}\$3.00 {/eq} per share. The last dividend was paid yesterday and the next dividend will be paid in one year. The discount rate for this stock is {eq}10\% {/eq}. Today, the stock is selling at {eq}\$62.40 {/eq} per share. What is the expected one-year price of the stoc...
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The Accounting Department of a large corporation has compiled the following information for use in evaluating the performance of the company's regional managers. Sales revenue $4,500,000 Variable cost of goods sold (COGS) 1,850,000 Fixed COGS 300,000 Variable selling expense 150,000 Fixed selling expense 100,000...
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A stock has a beta of 1.12, the expected return on the market is 10.5%, and the risk-free rate is 4.2%. What must this stock's expected return be? (Round your answer to 2 decimal places.)
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Two {eq}2 \times {/eq} 2 cash flow matrices: Cost to Firm with Partner Cost to Firm with Competitor Partner {eq}\to {/eq} (10, 10) Competitor {eq}\to {/eq} (-3, 20) Competitor {eq}\to {/eq} (20, -3) Firm {eq}\to {/eq} (10, 10) In the Nash equilibrium, the Partner chooses: a. Competit...
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What will be the effect on Cash Flow from Assets if the following changes take place: (a) increase in Accounts Receivable, and (b) decrease in Accounts Payable.
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If the short-run aggregate supply curve (SRAS) is horizontal, then an increase in aggregate demand leads to A. an increase in real output, an increase in the price level, and a decrease in unemployment. B. an increase in real output, a decrease in the price level, and a decrease in unemployment. C. an increase in re...
C
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How do I solve the following problem? The current price of a stock is $35.00. In 1 year the stock price will either go up by 20% or down by 10%. The risk-free rate is 5%. Find the option delta of a call option with an exercise price of $30. (Hint: Use the binomial model.)
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You bought one of Butte Corporation's 9 percent coupon bonds one year ago for $830. The bond sells for $885 today. What is your total return on the bond? Assume the bond pays interest semiannually.
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Evelyn Adams recently graduated and moved to St. Paul, MN. She started working as a financial analyst for a major corporation in Minneapolis, a city with about the same number of households as St. Paul. Evelyn decided to follow a few personal financial management practices that she saw in the television shows she watch...
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Let $X_n$ be a sequence of random variables with $P(X_n=-1)=1-\frac{1}{n}$ and $P(X_n=2n-1)=\frac{1}{n}$. Then, $$\frac{X_n}{n} \rightarrow 0 \text{ a.s.}$$ Is this correct? Also, I know that $$P(\frac{X_n}{n}>a) \ge 1-\frac{E(X_n)-an}{(2n-1)-an}$$ But this is non-increasing in n so what happens if $a>1$? Also is there...
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Which of the following conditions must exist in order for covered interest parity to hold: a. Britains interest rate must equal US interest rate. b. The pound must be overvalued in the forward market. c. The pound must be trading at the same level in the spot and the forward market. d. The future value of 1 pound m...
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Appliance for Less is a local appliance store. It costs this store $16.78 per unit annually for storage, insurance, etc., to hold microwave in their inventory. Sales this year are anticipated to be 229 units. Each order costs $60. The company is using Economic Order Quantity model in placing the orders. It takes approx...
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In a recent balance sheet, Ford Motor Company reported a trade receivables balance that consisted of {eq}\$21.2 {/eq} million of accounts receivable and {eq}\$4 {/eq} million of interest receivable. The allowance for doubtful accounts had a credit balance of {eq}\$1.3 {/eq} million. What is the amount of current as...
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Consider the market for water in a small town in the Old West. Assume that the only source of water is the underground aquifer that lies directly below the town. Wells are used to supply water to the entire town. If most or all of the wells have been developed, which of the following statements most adequately describ...
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Why is there a $10,000 tax gain on the sale of land when the actual after-tax cash flow is $15,000, given that the land was sold for $15,000, the adjusted basis was $10,000, and the income tax rate was 40%? Why is the actual after-tax cash flow $15,000 instead of $20,000, and how does this demonstrate a true tax saving...
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Market demand is given as QD = 200 3P. Market supply is given as QS = 2P + 100. Each identical firm has MC = 0.5Q and ATC = 0.25Q. At the equilibrium price, how many firms are there in this market?
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How can I find the minimal polynomial of $\alpha=\sqrt[3]{2} e^{\frac{2\pi i}{3}}$ over $\mathbb{Q}$?
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Langley Enterprises pays a constant dividend of $1.40 a share. The company announced today that it will continue to do this for another 2 years after which time it will discontinue paying dividends permanently. What is one share of this stock worth today if the required rate of return is 9 percent? A) $3.98 B) $3.66 ...
C
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No profit or loss can be reported as of December 31, 2011, in the event of a violation of a legal requirement and the imposition of which could result in: a) A fine that is tax-deductible. b) A fine that is not tax-deductible. c) A court judgment that is tax-deductible. d) A court judgment that is not tax-deductibl...
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During 2010, a company had a net income of $200,000, depreciation expense of $100,000, and no gains or losses on the sale of assets. How much were the cash dividends paid during 2010 if the change in retained earnings was $150,000? A) $150,000 B) $200,000 C) $300,000 D) $50,000
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A small machine shop uses a lathe with a constant useful life of five years and no expected salvage value. The company has invested $80,000 in the lathe and a total of $150,000 in the plant and equipment for the current year. If the company's required rate of return is 14%, what is the minimum dollar value of the compa...
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What is the break-even point in units? Fixed costs: 150,000 Contribution margin ratio: 40% Selling price: 12.50
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Consider a t distribution with 14 degrees of freedom. Find the value of c such that P(t ≤ c) = 0.05. Round your answer to at least three decimal places.
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Find the equation of the plane tangent to {eq}z = 2 x^2 - y{/eq} at the point {eq}P = (1,\ 1,\ 1){/eq}.
4x-y-2
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I am trying to value a company's stock. It pays a dividend today of $1.5 per share. The dividend is expected to grow at a constant rate of 4% per year. If the stock is selling for $20 per share, what is the stockholders' expected rate of return?
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Which of the following is correct regarding the law of diminishing marginal returns? a. It states that marginal product is always positive. b. It states that marginal cost is always increasing. c. It states that marginal cost is always positive. d. It states that marginal cost is first decreasing then increasing. ...
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Suppose a firm has total assets of $1,000,000 and a debt ratio of 30%. Currently, it has sales of $2,500,000, total fixed costs of $1,000,000, and EBIT of $50,000. If the firm's before-tax cost of debt is 10% and the firm's tax rate is 40%, what is the firm's ROE?
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You take out a 30-year mortgage for {eq}\$100,000 {/eq} at an annual interest rate of {eq}6\% {/eq}. How much of your first monthly payment will go towards interest? a) {eq}\$438.03 {/eq} b) {eq}\$500.00 {/eq} c) {eq}\$638.03 {/eq} d) {eq}\$1,798.65 {/eq}
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Assuming everything else held constant, if a firm's discount rate increased, this would: a. decrease the WACC of a project with negative cash flows prior to acceptance. b. increase the NPV of a project with a conventional cash flow pattern. c. decrease the NPV of a project with a discounted cash flow pattern. d. in...
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How to find this limit: $$ \lim_{x \to +\infty} \left[ (x+a)^{1+{1\over x}}-x^{1+{1\over x+a}}\right] $$
a
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How many $(n-2) \times (n-2)$ matrices are there in $n \times n$ matrices, which are invertible and diagonalizable? Let $B$ be a $(n-2) \times (n-2)$ matrix and $M$ be an $n \times n$ invertible matrix such that $M^{-1}BM$ is a diagonal matrix. Let $C$ be a $(n-2) \times (n-2)$ matrix such that $C = M^{-1}BJM$, where $...
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A firm is contemplating a long-term bond issue. The bond issue will amount to $50 million, and the bond face value is $1000. It will mature in ten years. The company has decided to make a normal profit of 14 percent (6% on debt and 18% on equity), and the corporation tax rate is 30 percent. Calculate the after-tax cos...
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Let $\{X_1, ..., X_n\}$ be a random sample from a Poisson distribution with a positive, unknown mean $\lambda$. Consider the hypothesis test $$ H_0 : \lambda = 1 $$ vs. $$ H_1 : \lambda \neq 1. $$ For what value(s) of $n$ is the $U$-test uniformly more powerful than the $P$-test?
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Which of the following statements is true? A) The union-as-collective-voice view of the labor union holds that labor unions have a negative impact on productivity and efficiency. B) The traditional view of the labor union is that the union acts as a collective voice for workers and probably leads to lower quit rates ...
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A fair coin is tossed 30 times. What is the probability of observing 22 or fewer heads?
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Suppose you are the money manager of a $4.84 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $ 460,000 1.50 B 420,000 - 0.50 C 1,260,000 1.25 D 2,700,000 0.75 If the market's required rate of return is 8% and the risk-free rate is 3%, what i...
7.21%
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Squire Company produces a variety of products for the retail market. The following information pertains to the company's two products: Model 101Model 202 Units produced per year1,5002,400 Sales value per unit$50.00$62.50 Direct materials used per unit$20.00$30.00 Direct labor cost per unit$10.00$8.00 The company cur...
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