
Explanation:
The correct answer is B: CAD 1.444 million.
The component Value at Risk (VaR) for stock T (CVaRt) is calculated using the formula: where:
Given:
The VaR of stock T () is calculated as:
Now, using the correlation coefficient () between stock T and the portfolio, the component VaR for stock T is:
This calculation shows that the component VaR of stock T is CAD 1.444 million, which corresponds to option B.
Ultimate access to all questions.
A risk analyst is evaluating the potential risks of a stock portfolio that has a total value of CAD 248 million. Within this portfolio, there is an allocation of CAD 15 million to stock T. The portfolio's annualized standard deviation of returns is 16%, while stock T has an annualized standard deviation of 13%. Additionally, the correlation coefficient between the portfolio's returns and the returns of stock T is 0.45. The risk manager wants to determine the component Value at Risk (VaR) for stock T, assuming a 1-year time horizon, a 95% confidence level, and normally distributed returns. What is the component VaR for stock T?
A
CAD0.096million
B
CAD 1.444 million
C
CAD 2.041 million
D
CAD 3.948 million
No comments yet.