
Explanation:
First, calculate the initial portfolio VaR using the formula for a two-asset portfolio:
Next, rebalance the portfolio to equal weights. The initial total value is $5 + 10 = 15 \text{ million}7.5` \text{ million}\text{New VaR}_A = 0.58 \times \left(\frac{7.5}{5}\right) = 0.87 \text{ million}\text{New VaR}_B = 1.86 \times \left(\frac{7.5}{10}\right) = 1.395 \text{ million}$
Calculate the new portfolio VaR:
The effect of rebalancing on the portfolio VaR is the difference between the initial and new VaR:
The change is approximately a decrease of $0.20 \text{ million}$, making D the closest option.
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Q.5 A portfolio consists of two assets – A and B.
| Value | Return | 99% 1 day VaR | Correlation | |
|---|---|---|---|---|
| A | 5 million | 5% | 0.58 million | |
| B | 10 million | 6% | 1.86 million | 0.7 |
The portfolio manager decides to rebalance the portfolio so that both the assets are equally weighted. If there is no change in the volatility of the two assets, what will be the effect of this rebalancing on the portfolio VaR?
A
0.40 million
B
0.17 million
C
0.87 million
D
0.20 million
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