
Explanation:
The formula for calculating the VaR of a specific asset in a portfolio is:
where the z-value for a 99% VaR is 2.33 (or more precisely 2.326).
Plugging in the given values, we get:
Therefore, the VaR of bond X is CAD 4,186,800
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Q.5289 An investment banker is evaluating the risks of a portfolio of bonds. The portfolio is valued at CAD 150 million and contains CAD 20 million in bond X. The annualized standard deviations of returns of the overall portfolio and bond X are 12% and 9%, respectively. The correlation of returns between the portfolio and bond X is 0.60. Assuming the investment banker uses a 1-year 99% VaR and the returns are normally distributed, what is the VaR of bond X?
A
CAD 1,453,879.
B
CAD 4,186,800.
C
CAD 5,813,777.
D
CAD 4,636,800.
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