A company's current value of assets is $120 millions and the volatility of the asset value is 10% per annum. The company has issued a debt whose face value is $100 millions and it needs to repay the...

A company's current value of assets is $120 millions and the volatility of the asset value is 10% per annum. The company has issued a debt whose face value is $100 millions and it needs to repay the debt in two years. The risk-free interest rate is 5% per annum. Use a two step binomial tree of the asset value in the following questions.

(a) What is the current value of the debt?

(b) What is the risk-neutral probability of the company's default on the debt?