Question

5. Equity as an option Aa Aa Sunny Co. is a manufacturing firm. Sunny Co.'s current value of operations, including debt and equity, is estimated to be $25 million. Sunny Co. has $10 million face-value zero coupon debt that is due in two years. The risk-free rate is 5%, and the volatility of companies similar to Sunny Co. is 50%. Sunny Co.'s performance has not been very good as compared to previous years. Because the company has debt, it will repay its loan, but the company has the option of not paying equity holders. The ability to make the decision of whether to pay or not looks very much like an option. Based on your understanding of the Black-Scholes option pricing model (OPM), calculate the following values and complete the table. (Note: Use 2.7183 as the approximate value of e in your calculations.) Sunny Co. Value (Millions of dollars) Equity value Debt value Debt yield Sunny Co.'s management is implementing a risk management strategy to reduce its volatility. Complete the following table, assuming that the goal is to reduce Sunny Co.'s volatility to 30%. Sunny Co. Goal (Millions of dollars) Equity value at 30% volatility Debt value at 30% volatility Debt yield at 30% volatility