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The managers of a firm are asked to consider two possible new product lines for

ID: 2757832 • Letter: T

Question

The managers of a firm are asked to consider two possible new product lines for the firm. Project 1 is quite risky and may result in a market value for the firm of $50 million in two years, or nothing. Project 2 is much more certain in outcome and may result in a firm market value as high as $25 million or as low as $15 million.

The face value of the company's debt, payable in two years, is $20 million.

a. What are the possible payoffs to the bondholders under projects 1 and 2?

b. What are the possible payoffs to the shareholders under projects 1 and 2?

c. Which will the shareholders favor? The bondholders?

Explanation / Answer

a. What are the possible payoffs to the bondholders under projects 1 and 2?

PROJECT 1:

Total Payoff               Debt Distribution

50                             20

0                              0

PROJECT 2:

Total Payoff             Debt Distribution

25                             20

15                             15

b.      What are the possible payoffs to the shareholders under projects 1 and 2?

        

Answer: (Payoffs in 2 years, in millions of dollars)

PROJECT 1:

Total Payoff        Equity Distribution         

50                             30            

0                              0

PROJECT 2:

Total Payoff        Equity Distribution         

25                                              5           

15                                              0    

                    

c.      Which will the shareholders favor? The bondholders?

Answer: Shareholders will favor project 1, which provides an equal or higher payoff in each state. Bondholders favor project 2 for the same reason.