# Bond Questions - YTM, Current Yield

1. Determine the yield to maturity (to the nearest tenth of 1 percent) of an 8-year zero coupon bond ($1,000 par value) that is currently selling for $521.

2. A WPI 10s 08 bond closed at 89. What is the current yield on this bond?

3. The earnings and dividends of MicroSun Computer Co. are expected to grow at an annual rate of 15 percent over the next 4 years and then slow to a constant growth rate of 8 percent per year. MicroSun currently pays a dividend of $0.50 per share. What is the value of MicroSun stock to an investor who requires a 14 percent rate of return?

4. What is the current value of a share of Chyrox if its current dividend is $1.50 and dividends are expected to grow at an annual rate of 20 percent for the next 5 years? Assume the investor has a required rate of return of 15 percent and expects to sell the security in 5 years for $72.

5. HDTV has planned on diversifying into the dual-VCR field. As a result, HDTV's beta would rise to 1.6 from 1.2 and the expected future long-term growth rate in the firm's earnings would increase from 12% to 16%. The expected market return, km, is 14%; the risk free rate, rf, is 7%; and the current dividend, Do, is $0.50. Should HDTV go into the dual-VCR field?

6. Richtex Brick has a current dividend of $1.70 and the market value of its common stock is $28. The expected market return is 13 percent and the risk-free rate is 9 percent. If Richtex stock is half as volatile as the market, and the market is in equilibrium, what rate of growth is expected for Richtex's dividends assuming a constant growth valuation model is appropriate for Richtex?

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#### Solution Summary

The solution computes current yield, yield to maturity for bond. It also provides an example to compute value of stock by using constant growth valuation model .

Bond Valuation Questions

1. Bond valuation Callaghan Motors' bonds have 10 years remaining to maturity. Interest

is paid annually; they have a $1,000 par value; the coupon interest rate is 8 percent; and

the yield to maturity is 9 percent. What is the bond's current market price?

2. Current yield and yield to maturity A bond has a $1,000 par value, 10 years to maturity,

a 7 percent annual coupon, and sells for $985.

a. What is its current yield?

b. What is its yield to maturity (YTM)?

c. Assume that the yield to maturity remains constant for the next 3 years. What will the price be 3 years from today?

3. Bond valuation Nungesser Corporation's outstanding bonds have a $1,000 par value, a 9 percent semiannual coupon, 8 years to maturity, and an 8.5 percent YTM. What is the bond's price?

4. Current yield, capital gains yield, and yield to maturity Hooper Printing Inc. has bonds outstanding with 9 years left to maturity. The bonds have an 8 percent annual coupon rate and were issued 1 year ago at their par value of $1,000, but due to changes in interest rates, the bond's market price has fallen to $901.40. The capital gains yield last year was 9.86 percent.

a. What is the yield to maturity?

b. For the coming year, what is the expected current yield and the expected capital gains yield?

c. Will the actual realized yields be equal to the expected yields if interest rates change? If not, how will they differ?

5. Yield to call Six years ago, the Singleton Company issued 20-year bonds with a 14 percent annual coupon rate at their $1,000 par value. The bonds had a 9 percent call premium, with 5 years of call protection. Today, Singleton called the bonds. Compute the realized rate of return for an investor who purchased the bonds when they were issued and held

them until they were called. Explain why the investor should or should not be happy that Singleton called them.