Consider two 1-year loans with a principal of $1 million and a default probability of 2% each. Assume that if one loan defaults, the other does not. Assume that in the event of default, the loan leads to a loss that can take any value between $0 and $1 million with equal probability, i.e., the probability that the loss is higher than $ ? million is 1 − ?. If a loan does not default, it yields a profit equal to $0.02 million. a) Compute the 1-year 99% Value at Risk (VaR) and Expected Shortfall (ES) of a single loan.
Consider two 1-year loans with a principal of $1 million and a default probability of 2% each. Assume that if one loan defaults, the other does not. Assume that in the event of default, the loan leads to a loss that can take any value between $0 and $1 million with equal probability, i.e., the probability that the loss is higher than $ ? million is 1 − ?. If a loan does not default, it yields a profit equal to $0.02 million. a) Compute the 1-year 99% Value at Risk (VaR) and Expected Shortfall (ES) of a single loan.
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Consider two 1-year loans with a principal of $1 million and a default probability of 2% each. Assume that if one loan defaults, the other does not. Assume that in the event of default, the loan leads to a loss that can take any value between $0 and $1 million with equal probability, i.e., the probability that the loss is higher than $ ? million is 1 − ?. If a loan does not default, it yields a profit equal to $0.02 million.
a) Compute the 1-year 99% Value at Risk (VaR) and Expected Shortfall (ES) of a single loan.
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