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Quantitative Finance · Begrippenlijst

Wat is Internal models approach, liquidity horizon?

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Definition 23.7 Rates, Credit, XVA and Risk · Hoofdstuk 23 — Regulatory Capital for Trading Books

The internal models approach sets capital from the bank’s own model of expected shortfall at 97.5%, computed on a ten-day base horizon and scaled up for risk factors with longer liquidity horizons (10, 20, 40, 60 or 120 days, the time assumed to exit or hedge a position without moving prices): ES=EST(P)2+∑j≥2(EST(P,j)(LHj−LHj−1)/T)2\mathrm{ES} = \sqrt{\mathrm{ES}_T(P)^2+\sum_{j\ge2}\bigl(\mathrm{ES}_T(P,j)\sqrt{(\mathrm{LH}_j-\mathrm{LH}_{j-1})/T}\bigr)^2}.

Voorbeelden

Example 23.9 (The internal-model charge)

On overlapping ten-day moves, the book’s 97.5% ES over the last year is USD 5.27 million. Scanning every twelve-month window since 2016, the most severe ends on 3 October 2022 (Figure 23.2): its ES is USD 14.41 million for the whole book, 5.67 million for rates alone and 14.01 million for FX alone. All the factors are major-currency rates and FX pairs with a ten-day liquidity horizon, so no scaling applies. The IMCC is 0.5×14.41+0.5×(5.67+14.01)=USD 17.040.5\times14.41+0.5\times(5.67+14.01) = \text{USD}~17.04 million and, with the multiplier of 1.5, the charge is USD 25.56 million, 37% of the standardised one.

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