Historical Simulation, Value-at-Risk, and expected shortfall - Weighted Historical Simulation

3 important questions on Historical Simulation, Value-at-Risk, and expected shortfall - Weighted Historical Simulation

Again what are the drawbacks of HS approach

If m is to small you don't have enough observations in the left tails, if its to large than the VaR is not responsive enough.

Solution for the drawbacks can be WHS. Why

Gives more weights to the first and less to the past returns

What does WHS better than HS

Respond quickly to large losses, but it does not respond to large gains, and choosing m is less relevant since the last weights are very small.

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