The default rates in the last 15 years for a certain category of loans is 2%, 4%, 7%, 12%, 6%, 5%, 8%, 14%, 10%, 2%, 3%, 2%, 6%, 7%, 9%. Use the maximum likelihood method to calculate the best fit values of the parameters in Vasicek’s model. What is the probability distribution of the default rate? What is the 99.9% worst case default rate?
Answer to relevant QuestionsSuppose that each of two investments has a 4% chance of a loss of $10 million, a 2% chance of a loss of $1 million, and a 94% chance of a profit of $1 million. They are independent of each other. (a) What is the VaR for one ...Suppose that a one-day 97.5% VaR is estimated as $13 million from 2,000 observations. The one-day changes are approximately normal with mean zero and standard deviation $6 million. Estimate a 99% confidence interval for the ...A company has a long position in a two-year bond and a three-year bond as well as a short position in a five-year bond. Each bond has a principal of $100 and pays a 5% coupon annually. Calculate the company’s exposure to ...Suppose that the assets of a bank consist of $500 million of loans to BBB-rated corporations. The PD for the corporations is estimated as 0.3%. The average maturity is three years and the LGD is 60%. What is the total ...The value of a company’s equity is $4 million and the volatility of its equity is 60%. The debt that will have to be repaid in two years is $15 million. The risk-free interest rate is 6% per annum. Use Merton’s model to ...
Post your question