
Explanation:
The correct answer is D.
Under age-weighted (aka Hybrid) historical simulation, the weight, , given to an observation days old is given by:
So,
Note. Any return falling outside the historical window would have a weight of zero, for instance, the observation made 109 days ago.
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Q.3035 Paul is using the age-weighted historical simulation approach to estimate the VaR of a stock portfolio, with a historical sample size of 100 days and a decay factor of 0.96. Over the recent past, the portfolio has registered the following returns:
| Return | Periods Ago (Days) |
|---|---|
| -3.2% | 109 |
| -3.3% | 75 |
| -2.3% | 66 |
| -1.3% | 22 |
| -3.0% | 45 |
Determine the weight on the return earned 45 days ago
A
0.05.
B
0.0025.
C
0.0065.
D
0.006751.
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