Question 5 (20%) Consider the Merton model of a company's credit risk. Suppose that the current market value of asset is $20 million, the asset volatility is 20% per annum, the debt that has to be repaid in 2 years is $13.5 million, and the continuously compounded risk-free rate is 3% per annum. a) (10%) Calculate the market values of equity and debt. b) (5%) Calculate the expected loss on the debt as a percentage of its current no-default value. c) (5%) Calculate the two year risk-neutral probability of default and the implied recovery rate on the debt as a percentage of the debt's current no-default value. Note: If N(.) is the standard normal cumulative distribution function then N(-x) = 1 N(x) for any x. Question 5 (20%) Consider the Merton model of a company's credit risk. Suppose that the current market value of asset is $20 million, the asset volatility is 20% per annum, the debt that has to be repaid in 2 years is $13.5 million, and the continuously compounded risk-free rate is 3% per annum. a) (10%) Calculate the market values of equity and debt. b) (5%) Calculate the expected loss on the debt as a percentage of its current no-default value. c) (5%) Calculate the two year risk-neutral probability of default and the implied recovery rate on the debt as a percentage of the debt's current no-default value. Note: If N(.) is the standard normal cumulative distribution function then N(-x) = 1 N(x) for any x