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Chapter 4
The Valuation of Long-Term
Securities
(Problems)
Mudeer Ahmed, PhD
Question 1:
Gonzalez Electric Company has outstanding a 10 percent bond issue with a face value of
$1,000 per bond and three years to maturity. Interest is payable annually. The bonds are
privately held by Suresafe Fire Insurance Company. Suresafe wishes to sell the bonds,
and is negotiating with another party. It estimates that, in current market conditions,
the bonds should provide a (nominal annual) return of 14 percent. What price per bond
should Suresafe be able to realize on the sale?
Question 2:
What would be the price per bond in Problem 1 if interest payments were made
semiannually?
Question 3:
Superior Cement Company has an 8 percent preferred stock issue outstanding, with each
share having a $100 face value. Currently, the yield is 10 percent. What is the market price
per share? If interest rates in general should rise so that the required return becomes
12 percent, what will happen to the market price per share?
Question 4:
The stock of the Health Corporation is currently selling for $20 a
share and is expected to pay a $1 dividend at the end of the year. If
you bought the stock now and sold it for $23 after receiving the
dividend, what rate of return would you earn?
Question 5:
Delphi Products Corporation currently pays a dividend of $2 per share, and this
dividend is expected to grow at a 15 percent annual rate for three years, and then
at a 10 percent rate for the next three years, after which it is expected to grow at a
5 percent rate forever. What value would you place on the stock if an 18 percent
rate of return was required?
Question 6:
6. North Great Timber Company will pay a dividend of $1.50 a share next year. After this, earnings
and dividends are expected to grow at a 9 percent annual rate indefinitely. Investors currently require
a rate of return of 13 percent. The company is considering several business strategies and wishes to
determine the effect of these strategies on the market price per share of its stock.
a. Continuing the present strategy will result in the expected growth rate and required rate of return
stated above.
b. Expanding timber holdings and sales will increase the expected dividend growth rate to 11 percent
but will increase the risk of the company. As a result, the rate of return required by investors will
increase to 16 percent.
c. Integrating into retail stores will increase the dividend growth rate to 10 percent and increase the
required rate of return to 14 percent.
From the standpoint of market price per share, which strategy is best?
Question 7:
A share of preferred stock for the Buford Pusser Baseball Bat Company just sold for $100
and carries an $8 annual dividend.
a. What is the yield on this stock?
b. Now assume that this stock has a call price of $110 in five years, when the company
intends to call the issue. (Note: The preferred stock in this case should not be treated
as a perpetual – it will be bought back in five years for $110.) What is this preferred
stock’s yield to call?
Question 8:
Wayne’s Steaks, Inc., has a 9 percent, noncallable, $100-par-value preferred stock issue
outstanding. On January 1 the market price per share is $73. Dividends are paid annually
on December 31. If you require a 12 percent annual return on this investment, what is
this stock’s intrinsic value to you (on a per share basis) on January 1?
Question 9:
The 9-percent-coupon-rate bonds of the Melbourne Mining Company have exactly
15 years remaining to maturity. The current market value of one of these $1,000-parvalue
bonds is $700. Interest is paid semiannually. Melanie Gibson places a nominal
annual required rate of return of 14 percent on these bonds. What dollar intrinsic value
should Melanie place on one of these bonds (assuming semiannual discounting)?
Question 10:
Just today, Fawlty Foods, Inc.’s common stock paid a $1.40 annual dividend per share
and had a closing price of $21. Assume that the market’s required return, or capitalization
rate, for this investment is 12 percent and that dividends are expected to grow at a
constant rate forever.
a. Calculate the implied growth rate in dividends.
b. What is the expected dividend yield?
c. What is the expected capital gains yield?
Thank You
Mudeer Ahmed, PhD
Assistant Professor
mudeer.khattak@iqraisb.edu.pk

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Chapter 6pptx

  • 1. Chapter 4 The Valuation of Long-Term Securities (Problems) Mudeer Ahmed, PhD
  • 2. Question 1: Gonzalez Electric Company has outstanding a 10 percent bond issue with a face value of $1,000 per bond and three years to maturity. Interest is payable annually. The bonds are privately held by Suresafe Fire Insurance Company. Suresafe wishes to sell the bonds, and is negotiating with another party. It estimates that, in current market conditions, the bonds should provide a (nominal annual) return of 14 percent. What price per bond should Suresafe be able to realize on the sale?
  • 3. Question 2: What would be the price per bond in Problem 1 if interest payments were made semiannually?
  • 4. Question 3: Superior Cement Company has an 8 percent preferred stock issue outstanding, with each share having a $100 face value. Currently, the yield is 10 percent. What is the market price per share? If interest rates in general should rise so that the required return becomes 12 percent, what will happen to the market price per share?
  • 5. Question 4: The stock of the Health Corporation is currently selling for $20 a share and is expected to pay a $1 dividend at the end of the year. If you bought the stock now and sold it for $23 after receiving the dividend, what rate of return would you earn?
  • 6. Question 5: Delphi Products Corporation currently pays a dividend of $2 per share, and this dividend is expected to grow at a 15 percent annual rate for three years, and then at a 10 percent rate for the next three years, after which it is expected to grow at a 5 percent rate forever. What value would you place on the stock if an 18 percent rate of return was required?
  • 7. Question 6: 6. North Great Timber Company will pay a dividend of $1.50 a share next year. After this, earnings and dividends are expected to grow at a 9 percent annual rate indefinitely. Investors currently require a rate of return of 13 percent. The company is considering several business strategies and wishes to determine the effect of these strategies on the market price per share of its stock. a. Continuing the present strategy will result in the expected growth rate and required rate of return stated above. b. Expanding timber holdings and sales will increase the expected dividend growth rate to 11 percent but will increase the risk of the company. As a result, the rate of return required by investors will increase to 16 percent. c. Integrating into retail stores will increase the dividend growth rate to 10 percent and increase the required rate of return to 14 percent. From the standpoint of market price per share, which strategy is best?
  • 8. Question 7: A share of preferred stock for the Buford Pusser Baseball Bat Company just sold for $100 and carries an $8 annual dividend. a. What is the yield on this stock? b. Now assume that this stock has a call price of $110 in five years, when the company intends to call the issue. (Note: The preferred stock in this case should not be treated as a perpetual – it will be bought back in five years for $110.) What is this preferred stock’s yield to call?
  • 9. Question 8: Wayne’s Steaks, Inc., has a 9 percent, noncallable, $100-par-value preferred stock issue outstanding. On January 1 the market price per share is $73. Dividends are paid annually on December 31. If you require a 12 percent annual return on this investment, what is this stock’s intrinsic value to you (on a per share basis) on January 1?
  • 10. Question 9: The 9-percent-coupon-rate bonds of the Melbourne Mining Company have exactly 15 years remaining to maturity. The current market value of one of these $1,000-parvalue bonds is $700. Interest is paid semiannually. Melanie Gibson places a nominal annual required rate of return of 14 percent on these bonds. What dollar intrinsic value should Melanie place on one of these bonds (assuming semiannual discounting)?
  • 11. Question 10: Just today, Fawlty Foods, Inc.’s common stock paid a $1.40 annual dividend per share and had a closing price of $21. Assume that the market’s required return, or capitalization rate, for this investment is 12 percent and that dividends are expected to grow at a constant rate forever. a. Calculate the implied growth rate in dividends. b. What is the expected dividend yield? c. What is the expected capital gains yield?
  • 12. Thank You Mudeer Ahmed, PhD Assistant Professor mudeer.khattak@iqraisb.edu.pk