
Explanation:
The component Value-at-Risk (VaR) for stock Y is calculated using the formula:
where:
Plugging in the values:
Rounded to the nearest whole number, the component VaR of stock Y is approximately CNY 1.437 million, which corresponds to option B.
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A supervisor is evaluating the risks associated with a portfolio of stocks. The current value of the portfolio is CNY 124 million, which includes CNY 14 million invested in stock Y. The annual standard deviations of returns for the entire portfolio and stock Y are 16% and 12%, respectively. The correlation coefficient of returns between the portfolio and stock Y is 0.52. Assuming the risk analyst uses a 1-year 95% Value at Risk (VaR) model and that returns are normally distributed, determine the component VaR for stock Y.
A
CNY 0.103 million
B
CNY 1.437 million
C
CNY 2.032 million
D
CNY 3.685 million
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