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MBA Inc. Market Value of Assets $ 10 million Face value of pure discount bond $

ID: 2624049 • Letter: M

Question

MBA Inc.

Market Value of Assets                                     $ 10 million

Face value of pure discount bond                   $ 4 million

Debt Maturity                                            3 years

Asset return ?                                          60%

Rf                                                                5%

Compute market value of debt and equity. Use Table 17.3. DO NOT INTERPOLATE!!!

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The estimated price of $5.85 is greater that the $4 price actual price, implying that the call option is underpriced. A trader believing in the Block-Scholes model would buy a call, of course, the Black-Scholes model is fallible. Perhaps the disparity between the model's estimate and the market price reflect error in the trader's estimate of variance.

Explanation / Answer

market value of debt = Face value of pure discount bond/(1+rf)^3 = 4/(1+5%)^3= 3.46 million

Market value of equty = 10-3.46 = 6.54 million