Good Time Company is a regional chain department store. It will remain in business for one more year. The probability of a boom year is 60 percent and the probability of a recession is 40 percent. It is projected that the company will generate a total cash flow of $198 million in a boom year and $89 million in a recession. The company's required debt payment at the end of the year is $123 million. The market value of the company’s outstanding debt is $96 million. The company pays no taxes. |
a. |
What payoff do bondholders expect to receive in the event of a recession? (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to the nearest whole number, e.g., 1,234,567.) |
b. | What is the promised return on the company's debt? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) |
c. | What is the expected return on the company's debt? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) |
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Answer:
a. If recession happens, the total cashflow that the company realizes is 89 million.
Answer: 89,000,000
b. Promised return on debt formula is given by promised amount / current market value - 1
Promised amount = 123 million
Current market value = 96 million
So promised return % on debt = (promised amount / current market value) - 1
= (123 / 96) - 1 = 28.13%
Answer: Promised return % = 28.13%
c. In case boom happens, the realized return = promised return = 28.125%
In case recession happens, the realized return = (realized payoff / current market value) - 1
= (89/96) - 1 = -7.29%
So expected return % = probability of boom * realized return % + probability of recession * realized return %
= 0.6 * 28.125% + 0.4 * -7.29% = 13.96%
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