*problem DOES NOT use the Black and Scholes Option Pricing model*

Your firm has a market value balance sheet of Assets ($20) = Debt (14.3) + Equity ($5.7), which we can call a Base Case. Other information is the face value of debt is $40, the debt matures in 5 years, the Asset return standard deviation = 50%, and the risk free rate is 4%. You have three mutually exclusive capital budgeting projects from which to choose.

Project A has an NPV of $4. Project As Standard Deviation is 40%. If Project A is accepted, the firms new Asset Value will be $24 and the new Debt Value will be 16.3.

Project B has an NPV of $1. Project As Standard Deviation is 60%. If Project B is accepted, the firms new Asset Value will be $21 and the new Debt Value will be 12.9.

Project C has an NPV of -$1. Project As Standard Deviation is 80%. If Project C is accepted, the firms new Asset Value will be $19 and the new Debt Value will be 12.7.

a. (3/7 value) What is the value of the put option associated with the risky debt in Scenario C? Show your work for any credit.

b. (4/7 value) Considering accepting mutually exclusive Projects A, B, C, or rejecting all three projects, what is the optimal strategy? Why? You must use numbers correctly in your explanation to get any credit.