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1. Barry’s Steroids Company has $1,000 par value bonds outstanding at 14 percent interest. The bonds...

1. Barry’s Steroids Company has $1,000 par value bonds outstanding at 14 percent interest. The bonds will mature in 30 years. If the percent yield to maturity is 12 percent, what percent of the total bond value does the repayment of principal represent? Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.) What is principle of a percentage of bond price? Refer to Table 10-1, which is based on bonds paying 10 percent interest for 20 years. Assume interest rates in the market (yield to maturity) decline from 9 percent to 8 percent. a. What is the bond price at 9 percent? b. What is the bond price at 8 percent? c. What would be your percentage return on investment if you bought when rates were 9 percent and sold when rates were 8 percent? (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.) Return on profit? % and loss/profit

2 Tom Cruise Lines Inc. issued bonds five years ago at $1,000 per bond. These bonds had a 30-year life when issued and the annual interest payment was then 13 percent. This return was in line with the required returns by bondholders at that point as described below: Real rate of return 3 % Inflation premium 5 Risk premium 5 Total return 13 % ________________________________________

3. Assume that five years later the inflation premium is only 3 percent and is appropriately reflected in the required return (or yield to maturity) of the bonds. The bonds have 25 years remaining until maturity. Compute the new price of the bond. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods. (Do not round intermediate calculations. Round your final answer to 2 decimal places. Assume interest payments are annual.) New price of the bond?

4. Katie Pairy Fruits Inc. has a $1,100, 12-year bond outstanding with a nominal yield of 16 percent (coupon equals 16% × $1,100 = $176 per year). Assume that the current market required interest rate on similar bonds is now only 12 percent. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods. a. Compute the current price of the bond. (Do not round intermediate calculations. Round your final answer to 2 decimal places. Assume interest payments are annual.) b. Find the present value of 4 percent × $1,100 (or $44) for 12 years at 12 percent. The $44 is assumed to be an annual payment. Add this value to $1,100. (Do not round intermediate calculations. Round your final answer to 2 decimal places. Assume interest payments are annual.)

5. Lance Whittingham IV specializes in buying deep discount bonds. These represent bonds that are trading at well below par value. He has his eye on a bond issued by the Leisure Time Corporation. The $1,000 par value bond pays 6 percent annual interest and has 15 years remaining to maturity. The current yield to maturity on similar bonds is 11 percent. a. What is the current price of the bonds? Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods. (Do not round intermediate calculations. Round your final answer to 2 decimal places. Assume interest payments are annual.) b. By what percent will the price of the bonds increase between now and maturity? (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)

6. You are called in as a financial analyst to appraise the bonds of Olsen’s Clothing Stores. The $1,000 par value bonds have a quoted annual interest rate of 13 percent, which is paid semiannually. The yield to maturity on the bonds is 8 percent annual interest. There are 10 years to maturity. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods. a. Compute the price of the bonds based on semiannual analysis. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) b. With 5 years to maturity, if yield to maturity goes down substantially to 6 percent, what will be the new price of the bonds? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

7. BioScience Inc. will pay a common stock dividend of $5.20 at the end of the year (D1). The required return on common stock (Ke) is 14 percent. The firm has a constant growth rate (g) of 7 percent. Compute the current price of the stock (P0). (Do not round intermediate calculations. Round your answer to 2 decimal places.)

8. Ecology Labs Inc. will pay a dividend of $7.20 per share in the next 12 months (D1). The required rate of return (Ke) is 20 percent and the constant growth rate is 8 percent. (Each question is independent of the others.) a. Compute the price of Ecology Labs' common stock. (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. Assume Ke, the required rate of return, goes up to 25 percent. What will be the new price? (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. Assume the growth rate (g) goes up to 11 percent. What will be the new price? Ke goes back to its original value of 20 percent. (Do not round intermediate calculations. Round your answer to 2 decimal places.) d. Assume D1 is $7.90. What will be the new price? Assume Ke is at its original value of 20 percent and g goes back to its original value of 8 percent. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

9. Justin Cement Company has had the following pattern of earnings per share over the last five years: Year Earnings Per Share 20X1 $ 13.00 20X2 13.78 20X3 14.61 20X4 15.49 20X5 16.42 ________________________________________ The earnings per share have grown at a constant rate (on a rounded basis) and will continue to do so in the future. Dividends represent 40 percent of earnings. a. Project earnings and dividends for the next year (20X6). (Round the growth rate to the nearest whole percent. Do not round any other intermediate calculations. Round your answers to 2 decimal places.) Earnings 20X16 dividends b. If the required rate of return (Ke) is 13 percent, what is the anticipated stock price (P0) at the beginning of 20X6? (Round the growth rate to the nearest whole percent. Do not round any other intermediate calculations. Round your answer to 2 decimal places.)

10. Beasley Ball Bearings paid a $4 dividend last year. The dividend is expected to grow at a constant rate of 2 percent over the next four years. The required rate of return is 15 percent (this will also serve as the discount rate in this problem). Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods. a. Compute the anticipated value of the dividends for the next four years. (Do not round intermediate calculations. Round your final answers to 2 decimal places.) b. Calculate the present value of each of the anticipated dividends at a discount rate of 15 percent. (Do not round intermediate calculations. Round your final answers to 2 decimal places.) c. Compute the price of the stock at the end of the fourth year (P4). (Do not round intermediate calculations. Round your final answer to 2 decimal places.) d. Calculate the present value of the year 4 stock price at a discount rate of 15 percent. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) e. Compute the current value of the stock. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) f. Use the formula given below to show that it will provide approximately the same answer as part e. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) P0 = D1 Ke ? g g. If current EPS were equal to $4.98 and the P/E ratio is 1.2 times higher than the industry average of 6, what would the stock price be? (Do not round intermediate calculations. Round your final answer to 2 decimal places.) h. By what dollar amount is the stock price in part g different from the stock price in part f? (Do not round intermediate calculations. Round your final answer to 2 decimal places.) i. With regard to the stock price in part f, indicate which direction it would move if:

Solutions

Expert Solution

Par value of Bond $1,000
Interest rate 14%
Years to maturity 30
Yield to maturity 12%
Annual coupon payment $140 (1000*0.14)
Total Bond value= Present Value of future Cash Flows at 12% discount
Terminal payment at maturity(Future Value, FV) $1,000
Present Value of future Cash Flows $1,161.10 (Using excel PV function with Rate=12%, Nper=30, Pmt=-140, FV=-1000)
Total Bond value $1,161.10
Repayment of principle $1,000
Percentage of Bond value repayment of principal represents 86.12% (1000/1161.10)*100
Par value of Bond $1,000
Interest rate 10%
Years to maturity 20
Yield to maturity 9%
Annual coupon payment $100
Total Bond value= Present Value of future Cash Flows at 12% discount
Terminal payment at maturity(Future Value, FV) $1,000
Present Value of future Cash Flows $1,091.29 (Using excel PV function with Rate=9%, Nper=20, Pmt=-100, FV=-1000)
Total Bond value $1,091.29
Repayment of principle $1,000
Percentage of Bond value repayment of principal represents 91.64%
Bond Price at 9% yield $1,091.29
Bond Price at 8% yield $1,196.36 (Using excel PV function with Rate=8%, Nper=20, Pmt=-100, FV=-1000)
Percentage Profit if bought at market yield9% and sold at8% 9.63% (1196.36-1091.29)/1091.29



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