Assets, Inc., plans to issue $8 million of bonds with a coupon rate of 6 percent, a par value of $1,000, semiannual coupons, and 30 years to maturity. The current market interest rate on these bonds is 10 percent. In one year, the interest rate on the bonds will be either 10 percent or 4 percent with equal probability.
Assume investors are risk-neutral. a. If the bonds are noncallable, what is the price of the bonds today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Price of Bonds = ______
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Empire Electric Company (EEC) uses only debt and common equity. It can borrow unlimited amounts at an interest rate of rd = 9% as long as it finances at its target capital structure, which calls for 45% debt and 55% common equity. Its last dividend (D0) was $2.75, its expected constant growth rate is 6%, and its common stock sells for $30. EEC's tax rate is 40%. Two projects are available: Project A has a rate of return of 12%, and Project B's return is 11%. These two projects are equally risky and about as risky as the firm's existing assets.
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2. To create a portfolio with a duration of 4 years using a 5 year zero coupon bond and a 2 year 6% annual coupon bond with a yield to maturity of 8%, one would have to invest______ of the portfolio value in the zero coupon bond.
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You think a certain stock in the gold-mining industry (stock A) is overvalued, so you plan on shorting $10,000 of it. You would like to isolate your bet on the alpha of the stock, so you want to hedge out all your exposure to the market and to the gold-mining industry. Stock A has a market beta of 1.1, and a gold-mining industry beta of 1.5. Asset B (a gold-miners ETF) has a market beta of 0.8 and a gold-mining industry beta of 1.5 Asset C (SPY) has a market beta of 1 and a gold-mining industry beta of 0.2. If you used assets B and C to get a portfolio that had a market beta and gold-mining industry beta of 0, How many dollars would you put in Asset B? How many dollars would you put in Asset C?
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Consider the following $1,000 par value zero-coupon bonds:
Bond | Years Until Maturity | Yield to Maturity |
A | 1 | 7.75% |
B | 2 | 8.75 |
C | 3 | 9.25 |
D | 4 | 9.75 |
a. According to the expectations hypothesis, what is the market’s expectation of the one-year interest rate three years from now? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Interest rate | ?% |
b. What are the expected values of next year’s yields on bonds with maturities of (a) 1 year; (b) 2 years; (c) 3 years? (Do not round intermediate calculations. Round your answer to 2 decimal places.
Maturity (years) | YTM |
1 | ?% |
2 | ?% |
3 | ?% |
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Cost of debt using both methods (YTM and the approximation formula) Currently, Warren Industries can sell 15 dash year $1,000 -par-value bonds paying annual interest at a 11% coupon rate. As a result of current interest rates, the bonds can be sold for $1,100 each before incurring flotation costs of $30 per bond. The firm is in the 40% tax bracket. a. Find the net proceeds from the sale of the bond, Upper N d
b. Calculate the bond's yield to maturity (YTM) to estimate the before-tax and after-tax costs of debt.
c. Use the approximation formula to estimate the before-tax and after-tax costs of debt.
a. The net proceeds from the sale of the bond,
Upper N d is
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Liman Company has a single product whose selling price is $140 and whose variable expense is $60 per unit. The company’s fixed expense is $40,000. REQUIRED Using the equation method, solve for the units required to earn a target profit of $6,000 Selling price – Variable expenses – Fixed Expenses = Target profit 140U – 60U – 40,000 = 6,000 80U = 46,000 46,000 / 80 = 575 units (Fixed Costs + Target Income)/CM 46,000 / 80 Using the formula method, solve for the dollar sales that are required to earn a target profit of $8,000 If tax rate is 40%, how many units should be sold to earn a target after tax profit of $6,000? Selling price – Variable expenses – Fixed Expenses = Target profit / (1 – T) 140U – 60U – 40,000 = 6,000 / (1 - .40) 140U – 60U – 40,000 = 6,000/.60 80U – 40,000 = 10,000 80U = 50,000 50,000/80
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A project that costs $2,500 to install will provide annual cash flows of $750 for each of the next 5 years.
a. Calculate the NPV if the opportunity cost of capital is 10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) NPV $
b. Is this project worth pursuing? Yes No
c. What is the project's internal rate of return IRR? (Do not round intermediate calculations. Round your answer to 2 decimal places.) IRR %
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Sunland Handicrafts, Inc., has net sales of $3.20 million with 50 percent being credit sales. Its cost of goods sold is $1.92 million. The firm’s cash conversion cycle is 51.5 days, and its operating cycle is 86.5 days. What is the firm’s accounts payable?
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Your landscaping company can lease a truck for $7,200 a year for 6 years. It can instead buy the truck for $35,000. The truck will be valueless after 6 years. a. What is the present value of the lease payments, if the opportunity cost of capital is 7%. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Present value $ b. Is it cheaper to buy or lease? Lease Buy
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Eastern Electric currently pays a dividend of about $1.71 per share and sells for $25 a share. |
a. |
If investors believe the growth rate of dividends is 4% per year, what is the opportunity cost of capital? (Do not round intermediate calculations. Round your answer to 2 decimal places.) |
Cost of Capital | % |
b. |
If investors' opportunity cost of capital is 10%, what must be the growth rate they expect of the firm? (Do not round intermediate calculations. Round your answer to 2 decimal places.) |
Growth rate | % |
c. |
If the sustainable growth rate is 5% and the plowback ratio is .5, what must be the return on equity ROE? (Round your answer to 2 decimal places.) |
ROE | % |
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Problem 5
5.1 Gordon’s model of equity valuation assumes k < g. (True / False)
5.2 High P/E multiple may indicate, all else equal:
a. High growth
b. Low systematic risk
d. Overvaluation
e. Any of the above
5.3 Under Gordon’s model of equity valuation, the same dividend amount is paid out in perpetuity. (True / False)
5.4 Retention ratio is the percentage of earnings that is paid out as dividends. (True / False)
5.5 Firm X is priced at $10 per share. Expected dividend next year is $1 per share, and the expected stock price next year is $11. Therefore, stock is expected to earn (11 + 1 – 10)/10 = 20%. This implies that the company has required rate of return that is also 20%. (True / False)
5.6 When ROE < k, increasing _______ should increase the intrinsic value of equity.
a. Retention ratio
b. Dividend payout
c. Dividend growth rate
5.7 Present Value of Growth Opportunities PVGO can never be negative. (True / False)
5.8 Required rate of return on equity can be found from which formula?
a. CAPM
b. Gordon’s Model
c. ROE
d. Either of the above, depends on what information is provided
5.9 If the company is correctly priced under Gordon’s model, and changing dividend payout policy does not change stock price, it must be that
a. ROE = k
b. The company is a cash cow
c. PVGO > 0
5.10 Growth in dividends can be represented as sustainable growth rate in Gordon’s model. (True / False)
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Sunburn Sunscreen has a zero coupon bond issue outstanding with a $28,000 face value that matures in one year. The current market value of the firm’s assets is $29,900. The standard deviation of the return on the firm’s assets is 34 percent per year, and the annual risk-free rate is 5 percent per year, compounded continuously. The firm is considering two mutually exclusive investments. Project A has an NPV of $2,300, and Project B has an NPV of $3,200. As the result of taking Project A, the standard deviation of the return on the firm’s assets will increase to 51 percent per year. If Project B is taken, the standard deviation will fall to 31 percent per year. |
a-1 |
What is the value of the firm’s equity and debt if Project A is undertaken? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) |
Market value | |
Equity | $ |
Debt | $ |
a-2 |
What is the value of the firm’s equity and debt if Project B is undertaken? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) |
Market value | |
Equity | $ |
Debt | $ |
b. | Which project would the stockholders prefer? |
|
c. |
Suppose the stockholders and bondholders are in fact the same group of investors. Would this affect your answer to (b)? |
|
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