Extreme Risk
What is Risk?

While I use common market risk techniques, that is too simple. After all, there is no single observable phenomenon called risk because risk is latent and specific to the end user.

More details
Technical details

I measure risk by the two main market risk measures, Value-at-Risk and Expected Shortfall, at the 99% one day horizon, were the portfolio value is 100. Risk is estimated with estimated by the five most common statistical methods, with an estimation window of thousand days.

Math details

Returns

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Value-at-Risk

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Expexted Shortfall

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Risk Forecasts

Type HS MA EWMA GARCH tGARCH EVT ModelRisk Mean
VaR 6.0 5.1 6.4 5.3 5.9 6.0 1.3 5.8
ES 8.4 5.8 7.3 6.0 7.5 9.0 1.5 7.4

Price drop given year

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Probability of price drop

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Data density with normal and t

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l

ACF

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QQ

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Extreme risk

Daily market risk forecasts and analysis
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