Suppose that each of two investments has a 4% chance of a loss of $10 million,...

Suppose 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 of the investments when the confidence level is 95%?
b. What is the expected shortfall for one of the investments when the confidence level is 95%?
c. What is the VaR for a portfolio consisting of the two investments when the confidence level is 95%?
d. What is the expected shortfall to a portfolio consisting of the two investments when the confidence level is 95%?
e. Show that in this example VaR does not satisfy the subadditivity condition whereas expected shortfall does.

Expert Solution

milcah answered 1 year ago

Suppose that each of two investments has a 4% chance of loss of $10 million, a...

Suppose that each of two investments has a 4% chance of loss of $10 million, a 2% chance of loss of $1 million, and a 94% chance of profit of $1 million. They are independent of each other. a. What is the VaR and CVaR (expected shortfall) at level p = 95% for one of the investments? b. What is the VaR and CVaR (expected shortfall) at level p = 95% for a portfolio consisting of the two investments? c....

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