The value of a company's equity is $$3$ million and the volatility of the equity is $80\%.$ The debt that will have to be paid in $1$ year is $$10$ million. The risk free rate is $5\%$ per annum. Expected return on assets is $6\%$ per annum. What is the probability of default, expected loss and present value of expected loss and recovery rate when the value of company's asset is $12\mathrm{.}50$ and the volatility of assets $0\mathrm{.}2123.$