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Question
Everyone is risk neutral and the risk free rate is 0%. Firm A needs to raise $2,000 by issuing a 1- year bond with face value $2,000 and coupon rate c in order to pursue either Safe Project S, or Risky Project R, which would each require an investment of $2,000 at t=0. S will produce $2,500 at t = 1. R will produce either X or 0 at t = 1 with probability 50% for each outcome. The company decides between Sand R after they get the money from bondholders. Bondholders are aware that equity holders will do what is optimal for equity holders.
1. For what value of X would the following be a valid equilibrium solution: the company issues debt with face value 2000 and coupon rate 0% and invests in S.
a. 2,800
b. 3,200
c. 3,500
d. 6,000
e. 7,000
f. None of the above
2. For what value of X could the following be a valid equilibrium solution: the company issues risky debt and invests in R.
c. 3500
d.) 6000
e. All of the above
3. Now assume that X = 9,000, the company has 100 shares outstanding, and the bond is a 1-year Zero coupon bond with face value $2,000 and convertible into N shares at t = 1 after the outcome of the company's project. For which value of N is the following an equilibrium solution: the company issues the bond and selects Project S
a. 5
b. 6
c. 7
d. 8
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