Black-scholes option pricing model


Assignment:

Start with the partial model in the file IFM9 Ch16 P8 Build a Model.xls from the ThomsonNOW Web site. Rework Problem using a spreadsheet model. After completing the problem as it appears, answer the following related questions.

a. Graph the cost of debt versus the face value of debt for values of the face value from $0.5 to $8 million.
b. Graph the values of debt and equity for volatilities from 0.10 to 0.90 when the face value of the debt is $2 million.
c. Repeat part b, but instead using a face value of debt of $5 million. What can you say about the difference between the graphs in part b and part c?

Problem 16-7:

A. Fethe Inc. is a custom manufacturer of guitars, mandolins, and other stringed instruments located near Knoxville, Tennessee. Fethe’s current value of operations, which is also its value of debt plus equity, is estimated to be $5 million. Fethe has $2 million face-value zero-coupon debt that is due in 2 years. The risk-free rate is 6 percent, and the volatility of companies similar to Fethe is 50 percent. Fethe’s owners view their equity investment as an option and would like to know the value of their investment.

a. Using the Black-Scholes Option Pricing Model, how much is Fethe’s equity worth?
b. How much is the debt worth today? What is its yield?
c. How would the equity value and the yield on the debt change if Fethe’s managers were able to use risk management techniques to reduce its volatility to 30 percent? Can you explain this?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Accounting Basics: Black-scholes option pricing model
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