## Calculate the var, Financial Accounting

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An investment has a 92% chance of making a profit of \$10 million, a 1.5% chance of losing \$4 million, a 3% of losing \$6 million, and a 3.5% chance of losing \$16 million.

A)    What is the VaR for this investment when confidence level is 90%, 95%, or 99%?

B)    What is the expected shortfall when the confidence level is 95%?

C)    Suppose there is another independent investment with the following profile: a 94% change of making \$3 million and a 6% change of losing \$5 million. What is the VaR for a portfolio consisting of the two investments when the confidence level is 95%?

D)    What is the expected shortfall for the portfolio in C) when the confidence level is 95%?

E)     Does VaR in C) satisfy the subadditivity condition? How about the expected shortfall in D)?

Hint: for A), please realize that we have only three possible values; go from the gain to the loss until the total probability is bigger than 95%. For C), enumerate all the possible combinations of losses and gains, and then identify the 95 percentile.

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