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AcadiFi
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ExoticRisk_Astrid2026-04-08
frmPart IIMarket Risk

What is the Residual Risk Add-On under FRTB, and which exotic instruments are in scope?

I'm studying FRTB capital charges for FRM Part II. Beyond ES and DRC, there's a Residual Risk Add-On (RRAO) for instruments with exotic features. I'm not sure exactly which instruments trigger the RRAO or how the charge is calculated. Is it based on notional, and can it be waived?

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The Residual Risk Add-On (RRAO) is a simple notional-based capital charge applied to instruments with exotic underlying risk drivers or bearing other residual risks that are not adequately captured by the Standardized Approach's delta, vega, and curvature risk charges.\n\nWhy RRAO Exists:\n\nThe SA's sensitivity-based framework captures first-order (delta), second-order (curvature), and volatility (vega) risks. However, exotic instruments carry risks that these sensitivities miss:\n- Gap risk in barrier options\n- Correlation risk in multi-asset products\n- Behavioral risk in prepayable instruments\n- Path-dependency risk in lookbacks and cliquets\n\nInstruments in RRAO Scope:\n\n| Category | Examples | RRAO Rate |\n|---|---|---|\n| Exotic underlyings | Longevity risk, weather derivatives, natural catastrophe instruments | 1.0% of notional |\n| Other residual risks | Barrier options, digital options, Asian options, lookbacks, rainbow options, cliquets, autocallables, Bermuda swaptions beyond 1-year lockout | 0.1% of notional |\n\nCalculation:\n\nRRAO = sum over exotic-underlying instruments: (1.0% x Gross Notional_i) + sum over other-residual-risk instruments: (0.1% x Gross Notional_i)\n\nNo netting or hedging recognition is permitted. Long and short positions are both charged at their absolute notional.\n\nWorked Example:\nCrestview Trading holds the following exotic positions:\n\n| Instrument | Notional | RRAO Category | Rate | Charge |\n|---|---|---|---|---|\n| Barrier calls on Thornbury Mining | $50M | Other residual | 0.1% | $50K |\n| Lookback puts on Apex 500 Index | $30M | Other residual | 0.1% | $30K |\n| Weather derivative (HDD swap) | $20M | Exotic underlying | 1.0% | $200K |\n| Autocallable on basket of 3 stocks | $80M | Other residual | 0.1% | $80K |\n| Catastrophe bond exposure | $15M | Exotic underlying | 1.0% | $150K |\n\nTotal RRAO = $50K + $30K + $200K + $80K + $150K = $510K\n\nThis is added to the SA or IMA capital charge.\n\nExemption Possibility:\n\nNational supervisors may exempt instruments from RRAO if the bank can demonstrate that:\n- The instrument's residual risks are immaterial\n- The risks are captured by internal hedging strategies recognized in the ES or DRC\n- The bank has a comprehensive risk management framework for the specific exotic features\n\nHowever, the exemption process is supervisor-dependent and generally difficult to obtain.\n\nInteraction with IMA:\nRRAO applies regardless of whether the desk uses IMA or SA. Even an IMA desk must compute and add the RRAO for its exotic positions. This creates a meaningful incentive to reduce exotic exposure or simplify payoff structures.\n\nStudy FRTB capital components in our FRM Part II materials.

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