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1. Which of the following statements is CORRECT?
a. A time line is not meaningful unless all cash flows occur annually.
b. Time lines are useful for visualizing complex problems prior to doing actual calculations.
c. Time lines cannot be constructed in situations where some of the cash flows occur annually but others occur quarterly.
d. Time lines cannot be constructed for annuities where the payments occur at the beginning of the periods.
e. Some of the cash flows shown on a time line can be in the form of annuity payments, but none can be uneven amounts.
2. You plan to analyze the value of a potential investment by calculating the sum of the present values of its expected cash flows. Which of the following would lower the calculated value of the investment?
a. The cash flows are in the form of a deferred annuity, and they total to $100,000. You learn that the annuity lasts for only 5 rather than 10 years, hence that each payment is for $20,000 rather than for $10,000.
b. The discount rate increases.
c. The riskiness of the investment’s cash flows decreases.
d. The total amount of cash flows remains the same, but more of the cash flows are received in the earlier years and less are received in the later years.
e. The discount rate decreases.
3. Which of the following statements is CORRECT?
a. The cash flows for an ordinary (or deferred) annuity all occur at the beginning of the periods.
b. If a series of unequal cash flows occurs at regular intervals, such as once a year, then the series is by definition an annuity.
c. The cash flows for an annuity due must all occur at the ends of the periods.
d. The cash flows for an annuity must all be equal, and they must occur at regular intervals, such as once a year or once a month.
e. If some cash flows occur at the beginning of the periods while others occur at the ends, then we have what the textbook defines as a variable annuity.
4. Which of the following statements regarding a 15-year (180-month) $125,000, fixed-rate mortgage is CORRECT? (Ignore taxes and transactions costs.)
a. The remaining balance after three years will be $125,000 less one third of the interest paid during the first three years.
b. Because it is a fixed-rate mortgage, the monthly loan payments (which include both interest and principal payments) are constant.
c. Interest payments on the mortgage will increase steadily over time, but the total amount of each payment will remain constant.
d. The proportion of the monthly payment that goes towards repayment of principal will be lower 10 years from now than it will be the first year.
e. The outstanding balance declines at a slower rate in the later years of the loan’s life.
5. Which of the following statements is CORRECT, assuming positive interest rates and holding other things constant?
a. The present value of a 5-year, $250 annuity due will be lower than the PV of a similar ordinary annuity.
b. A 30-year, $150,000 amortized mortgage will have larger monthly payments than an otherwise similar 20-year mortgage.
c. A bank loan’s nominal interest rate will always be equal to or greater than its effective annual rate.
d. If an investment pays 10% interest, compounded quarterly, its effective annual rate will be greater than 10%.
e. Banks A and B offer the same nominal annual rate of interest, but A pays interest quarterly and B pays semiannually. Deposits in Bank B will provide the higher future value if you leave your funds on deposit.
6. You want to buy a new sports car 3 years from now, and you plan to save $6,200 per year, beginning one year from today. You will deposit your savings in an account that pays 5.2% interest. How much will you have just after you make the 3rd deposit, 3 years from now?
7. You want to quit your job and go back to school for a law degree 4 years from now, and you plan to save $8,800 per year, beginning immediately. You will make 4 deposits in an account that pays 5.7% interest. Under these assumptions, how much will you have 4 years from today?
8. Your father is about to retire, and he wants to buy an annuity that will provide him with $84,000 of income a year for 25 years, with the first payment coming immediately. The going rate on such annuities is 5.15%. How much would it cost him to buy the annuity today?
9. Your grandmother just died and left you $47,500 in a trust fund that pays 6.5% interest. You must spend the money on your college education, and you must withdraw the money in 4 equal installments, beginning immediately. How much could you withdraw today and at the beginning of each of the next 3 years and end up with zero in the account?
10. Your girlfriend just won the Florida lottery. She has the choice of $11,500,000 today or a 20-year annuity of $1,050,000, with the first payment coming one year from today. What rate of return is built into the annuity? Disregard taxes.
11. At a rate of 10.0%, what is the future value of the following cash flow stream?
Years: 0 1 2 3 4
CFs: $0 $75 $225 $0 $300
12. Master Card and other credit card issuers must by law print the Annual Percentage Rate (APR) on their monthly statements. If the APR is stated to be 24.50%, with interest paid monthly, what is the card’s EFF%?
13. Suppose the U.S. Treasury issued $50 billion of short-term securities and sold them to the public. Other things held constant, what would be the most likely effect on short-term securities’ prices and interest rates?
a. Prices and interest rates would both rise.
b. Prices would rise and interest rates would decline.
c. Prices and interest rates would both decline.
d. Prices would decline and interest rates would rise.
e. There is no reason to expect a change in either prices or interest rates.
14. The real risk-free rate is expected to remain constant at 3% in the future, a 2% rate of inflation is expected for the next 2 years, after which inflation is expected to increase to 4%, and there is a positive maturity risk premium that increases with years to maturity. Given these conditions, which of the following statements is CORRECT?
a. The yield on a 2-year T-bond must exceed that on a 5-year T-bond.
b. The yield on a 5-year Treasury bond must exceed that on a 2-year Treasury bond.
c. The yield on a 7-year Treasury bond must exceed that of a 5-year corporate bond.
d. The conditions in the problem cannot all be true–they are internally inconsistent.
e. The Treasury yield curve under the stated conditions would be humped rather than have a consistent positive or negative slope.
15. Koy Corporation’s 5-year bonds yield 8.00%, and 5-year T-bonds yield 5.15%. The real risk-free rate is r* = 3.0%, the inflation premium for 5-year bonds is IP = 1.75%, the liquidity premium for Koy’s bonds is LP = 0.75% versus zero for T-bonds, and the maturity risk premium for all bonds is found with the formula MRP = (t – 1) 0.1%, where t = number of years to maturity. What is the default risk premium (DRP) on Koy’s bond
16. Stock X has a beta of 0.6, while Stock Y has a beta of 1.4. Which of the following statements is CORRECT?
a. A portfolio consisting of $50,000 invested in Stock X and $50,000 invested in Stock Y will have a required return that exceeds that of the overall market.
b. Stock Y must have a higher expected return and a higher standard deviation than Stock X.
c. If expected inflation increases but the market risk premium is unchanged, then the required return on both stocks will fall by the same amount.
d. If the market risk premium declines but expected inflation is unchanged, the required return on both stocks will decrease, but the decrease will be greater for Stock Y.
e. If expected inflation declines but the market risk premium is unchanged, then the required return on both stocks will decrease but the decrease will be greater for Stock Y.
17. CCC Corp has a beta of 1.5 and is currently in equilibrium. The required rate of return on the stock is 12.00% versus a required return on an average stock of 10.00%. Now the required return on an average stock increases by 30.0% (not percentage points). Neither betas nor the risk-free rate change. What would CCC’s new required return be? Do not round your intermediate calculations
18. A mutual fund manager has a $40.00 million portfolio with a beta of 1.00. The risk-free rate is 4.25%, and the market risk premium is 6.00%. The manager expects to receive an additional $29.50 million which she plans to invest in additional stocks. After investing the additional funds, she wants the fund’s required and expected return to be 13.00%. What must the average beta of the new stocks be to achieve the target required rate of return? Do not round your intermediate calculations.
19. Other things held constant, if the expected inflation rate decreases and investors also become more risk averse, the Security Market Line would be affected as follows:
a. The y-axis intercept would decline, and the slope would increase.
b. The x-axis intercept would decline, and the slope would increase.
c. The y-axis intercept would increase, and the slope would decline.
d. The SML would be affected only if betas changed.
e. Both the y-axis intercept and the slope would increase, leading to higher required returns.
20. Your portfolio consists of $50,000 invested in Stock X and $50,000 invested in Stock Y. Both stocks have an expected return of 15%, betas of 1.6, and standard deviations of 30%. The returns of the two stocks are independent, so the correlation coefficient between them, rXY, is zero. Which of the following statements best describes the characteristics of your 2-stock portfolio?
a. Your portfolio has a standard deviation of 30%, and its expected return is 15%.
b. Your portfolio has a standard deviation less than 30%, and its beta is greater than 1.6.
c. Your portfolio has a beta equal to 1.6, and its expected return is 15%.
d. Your portfolio has a beta greater than 1.6, and its expected return is greater than 15%.
e. Your portfolio has a standard deviation greater than 30% and a beta equal to 1.6.
21. Which is the best measure of risk for a single asset held in isolation, and which is the best measure for an asset held in a diversified portfolio?
a. Variance; correlation coefficient.
b. Standard deviation; correlation coefficient.
c. Beta; variance.
d. Coefficient of variation; beta.
e. Beta; beta.
22.The cost of preferred stock is
A) lower than the cost of long-term debt.
B) higher than the cost of common stock.
C) higher than the cost of long-term debt and lower than the cost of common stock.
D) lower than the cost of convertible long-term debt and higher than the cost of common stock
23.A firm has issued cumulative preferred stock with a $100 par value and a 12 percent annual dividend. For the past two years, the board of directors has decided not to pay a dividend. The preferred stockholders must be paid ________ prior to paying the common stockholders.
A) $ 0/share
24.Regarding the tax treatment of payments to securities holders, it is true that ________, while ________.
A) interest and preferred stock dividends are not tax-deductible; common stock dividends are tax deductible
B) interest and preferred stock dividends are tax-deductible; common stock dividends are not tax-deductible
C) common stock dividends and preferred stock dividends are tax-deductible; interest is not tax-deductible
D) common stock dividends and preferred stock dividends are not tax-deductible; interest is tax-deductible
25.If a firm has class A and class B common stock outstanding, it means that
A) each class receives a different dividend.
B) the par value of each class is different.
C) the dividend paid to one of the classes is tax deductible by the corporation.
D) one of the classes is probably non-voting stock.
Problems: select 2
1. Assume that Kish Inc. hired you as a consultant to help estimate its cost of capital. You have obtained the following data: D0 = $0.90; P0 = $47.50; and g = 7.00% (constant). Based on the DCF approach, what is the cost of equity from retained earnings? Do not round your intermediate calculations.
2. Keys Printing plans to issue a $1,000 par value, 20-year noncallable bond with a 7.00% annual coupon, paid semiannually. The company’s marginal tax rate is 40.00%, but Congress is considering a change in the corporate tax rate to 45.00%. By how much would the component cost of debt used to calculate the WACC change if the new tax rate was adopted? Do not round your intermediate calculations
3. Derek Inc. forecasts that it will have the free cash flows (in millions) shown below. Assume the firm has zero non-operating assets. If the weighted average cost of capital is 14% and the free cash flows are expected to continue growing at the same rate after Year 3 as from Year 2 to Year 3, what is the firm’s total corporate value, in millions?
Year 1 2 3
Free cash flow -$20.00 $48.00 $50.50
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