
Explanation:
To evaluate the 1-year 99% VaR, we calculate both the Normal VaR and the Lognormal VaR relative to the initial value.
1. Normal VaR: Assuming normal distribution, the lowest return at 99% confidence is: Normal VaR =
2. Lognormal VaR: Assuming lognormal distribution, the lowest portfolio value at 99% confidence is: Lognormal VaR =
Difference: Difference = Normal VaR - Lognormal VaR = £5,478,000 - £4,217,840 = £1,260,160 £1,260,000.
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Q.22 A risk analyst wishes to establish the VaR of a portfolio under his management. At present, the portfolio has a value of £10 million. The annual mean and volatility of the portfolio are 15% and 30%, respectively. Evaluate how the 1-year 99% VaR, calculated using the normal distribution assumption (normal VaR), compares with the 1-year 99% VaR, calculated on the basis of the lognormal distribution (lognormal VaR).
A
£1,000,000
B
£500,000
C
£527,834
D
£1,260,000
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