Question
Excel spreadsheet with formulas required. Your boss now wants you to help Higgs Bassoon Corporation. Higgs Bassoon Corporation is a custom manufacturer of bassoons and
Excel spreadsheet with formulas required.
Your boss now wants you to help Higgs Bassoon Corporation. Higgs Bassoon Corporation is a custom manufacturer of bassoons and other wind instruments. Its current value of operations, which is also its value of debt plus equity, is estimated to be $200 million. Higgs has zero coupon debt outstanding that matures in 3 years with $110 million face value. The risk-free rate is 5%, and the standard deviation of returns for similar companies is 60%. The owners of Higgs Bassoon view their equity investment as an option and would like to know its value. Start with the attached partial model, and answer the following questions:
Using the Black-Scholes option pricing model, how much is the equity worth?
How much is the debt worth today? What is its yield?
How would the equity value change if the company used risk management techniques to reduce its volatility to 45%? Can you explain this?
Graph the cost of debt versus the face value of debt for values of the face value from $10 to $160 million.
Graph the values of debt and equity for volatilities from 0.10 to 0.90 when the face value of the debt is $100 million.
Higgs Bassoon Corporation is a custom manufacturer of bassoons and other wind instruments. Its current value of operations, which is also its value of debt plus equity, is estimated to be $200 million. Higgs has $110 million face value, zero coupon debt that is due in 3 years. The risk-free rate is 5%, and the standard deviation of returns for similar companies is 60%. The owners of Higgs Bassoon 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 the equity worth? | |||||||
Black-Scholes Option Pricing Model | |||||||
Total Value of Firm | 200.00 | this is the current value of operations | |||||
Face Value of Debt | |||||||
Risk Free rate | |||||||
Maturity of debt (years) | |||||||
Standard Dev. | this is sigma--also known as volatility | ||||||
d1 | use the formula from the text | ||||||
d2 | use the formula from the text | ||||||
N(d1) | use the Normsdist function in the function wizard | ||||||
N(d2) | |||||||
Call Price = Equity Value | million | ||||||
b. How much is the debt worth today? What is its yield? | |||||||
Debt value = Total Value - Equity Value = | million | ||||||
Debt yield = | |||||||
c. How much would the equity value and the yield on the debt change if Fethe's management were able to use risk management techniques to reduce its volatility to 45 percent? Can you explain this? | |||||||
Equity value at 60% volatility | million | ||||||
Equity value at 45% volatility | million | ||||||
Percent change | million | ||||||
d. Graph the cost of debt versus the face value of debt for values of the face value from $0.5 to $8 million. | |||||||
Cost of Debt | |||||||
Face Value of Debt | hint: use a data table | ||||||
10 | |||||||
20 | |||||||
30 | |||||||
40 | |||||||
50 | |||||||
60 | |||||||
70 | |||||||
80 | |||||||
90 | |||||||
100 | |||||||
110 | |||||||
120 | |||||||
130 | |||||||
140 | |||||||
150 | |||||||
160 | |||||||
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. | |||||||
Value of Debt | Value of Equity | ||||||
Volatility | Face Value of Debt | Volatility | Face Value of Debt | ||||
0.00 | 0.00 | ||||||
0.1 | 0.1 | ||||||
0.2 | 0.2 | ||||||
0.3 | 0.3 | ||||||
0.4 | 0.4 | ||||||
0.5 | 0.5 | ||||||
0.6 | 0.6 | ||||||
0.7 | 0.7 | ||||||
0.8 | 0.8 | ||||||
0.9 | 0.9 | ||||||
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