# Stock and Bond questions

11. What is the yield-to-maturity of the following bond? WHY?

Price = 113

Discount Rate Present Value of Cash Flow of Bond

6% 120

8% 114

9% 112

10% 98

12. What is the return on the following investment?

Income = $400

Price t=0 = $3000

Price t=1 = $4000

13. Given the following information, calculate the Price of the stock.

g = 8%

r = 9%

d(1) = $4

14. Given the following data, calculate the price earnings ratio for the stock,

g = 8%

r = 9%

Payout ratio of earnings = 40%

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#### Solution Preview

11. What is the yield-to-maturity of the following bond? WHY?

Price = 113

Discount Rate Present Value of Cash Flow of Bond

6% 120

8% 114

9% 112

10% 98

The yield-to-maturity (YTM) of a bond is the discount rate which will make the present value of the cash flow of the bond equal to the price today. The price today is 113. At ...

#### Solution Summary

The solution explains the calculation of yield to maturity, return on investment, price of stock and price to earnings ratio

Finance Related Questions on Bond and Stock Valuation

1) "SRK Airport" authority issued a series of 3.4 percent 30-year bonds in February 2012. Interest rates rose substantially in the following years of the issue and made the price of the bond decline. 13 years later, in February 2025 the price of the bond has dropped from $1000 to $675. Assume that the bond requires annual interest payments.

a) What is yield to maturity of the bond? (Par value= $1000 in 2012)

b) Calculate the yield to maturity in February 2025.

c) If interest rate stabilizes after 2025 and remains same for the reminder of the life of the bonds, what will be the bonds price in 2040, two years before maturity.

d) What is the bond price during maturity (in 2042)?

e) Assuming the condition in part (c) what would have been the current yield of a "SRK Airport" bond in 2025 and in 2040?

2) In January 1, 2012, Anim purchased an outstanding Rosette Corporation bond that was issued on January 1, 2010. The Rosette Corporation bond has a 9.5 percent annual coupon and a 30-year original maturity (matures on December 2039). There is a 15-year call protection (until December 2014), after which time the bond can be called at 109 (109 percent of per or at $1090). Interest rates have declined since the bond was issued, and the bond is now selling at 116.575 percent of par or at $1,165.75. Anim wants to determine both the yield to maturity and the yield to call of this bond. (Note: during calculation of yield to call assume that the bond will be outstanding until the call date. Thus the investor will have received interest payments for the call protected period and then will receive the call price- in this case which is $1090 on the call date).

a) What is yield to maturity of the Rosette bond? What is its yield to call?

b) If Anim purchase this bond, which return do you think anim would actually earn? Explain your answer.

c) If the bond had sold at a discount, would the yield to maturity or the yield to call have been more relevant?

3) Mashrafee Inc. is expected to grow at a constant rate of 6 percent and its dividend yield is 7 percent. The company is about as risky as the average firms are in the industry.However, the company just successfully completed some R&D work that leads the company to expect that its earnings will grow at a rate of 50 percent this year and 25 percent the following year, after which growth should match the 6 percent industry average rate. The last dividend paid (D0) was $1.00. What is the value per share of the firm's stock?

4) You purchase a share of Kamal Corporation stock for $21.40. You expect it to pay dividends of $1.07; $1.1449 and $1.2250 in years 1, 2 and 3 respectively and you expect to sell it at a price of $26.22 at the end of 4 years.

a) Calculate the growth rate in dividends and the expected dividend yield.

b) Assume that the calculated growth rate (in a) is expected to continue, you can add the dividend yield to the expected growth rate to get the expected total rate of return. What is the stock's expected total rate of return?