
Explanation:
The current VaR<sub>Grinolds</sub> = 2.33 × 0.12 × 700 = 195.72
Standard deviation of Grinold + Fujara = √[((0.7)²(0.12)² + (0.3)²(0.09)² + (2)(0.7)(0.3)(0.12)(0.09)]
= √0.0114138 = 0.1068 or 10.68%
VaR<sub>Grinold+Fujarah</sub> = 2.33 × 0.1068 × 1000 = $248.92 million
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Q.3157 Anthony James has a portfolio with only a single position of $700 million invested in shares of Grinold Bank. The manager is considering adding a $300 million position in Shares of Fujarah Bank or Yamama Bank to the portfolio. The current volatility of Grinolds is 12%. In addition, the shares of Fujarah Bank have a return volatility of 9% and a correlation with Grinold equal to 0.8, while the shares of Yamama Bank have a return volatility of 12% and a correlation with Grinold equal to zero. What will be the VaR at the 99% level of confidence of Anthony’s portfolio if he further invests $300 million in the shares of Fujarah Bank?
A
$248.92 million
B
$195.72 million
C
$443.92 million
D
$53.2 million
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