Question

Which of the following is approximately the Value at Risk at 5 percent of a portfolio of $10 million of asset A, whose expected return is 10 percent and volatility is 20 percent, and $10 million of asset B, whose expected return is 16 percent and volatility is 25 percent, where the correlation between the two assets is 0.1.
A. $5.6 million
B. $10 million
C. $15 million
D. $1.25 million
E. none of the above

Answer 1

Answer:

A. $5.6 million

Explanation:

Value at risk is the minimum value of portfolio that is considered to lose in case of certain event or volatility. There are two assets in the given scenario and both of them have worth of $10 million. The correlation between them is 0.1 which means there is low strength relationship between the two assets. The value at risk can be found by:

($10 * 5% * 20%) + ($10 * 16% * 25%) * log 1.65

= 5.6 million