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FRM Part II Updated
How does the frequency of margin calls affect counterparty credit exposure, and why does the margin period of risk matter so much?
More frequent margin calls reduce counterparty exposure by resetting collateral balances, but the margin period of risk (MPOR) — typically 10 business days for bilateral trades — sets a floor on residual exposure from the last clean margin call to close-out.
What is the P&L attribution test under FRTB, and what happens when a desk fails it?
The P&L Attribution Test compares actual desk P&L against risk-model-predicted P&L using Spearman correlation and KL divergence. Desks falling into the red zone must revert to the Standardized Approach, while amber zone desks incur a capital surcharge blending IMA and SA requirements.
What is KVA (Capital Valuation Adjustment), and how does it change the economics of derivative pricing?
KVA is the present value of the cost of holding regulatory capital against a derivative over its lifetime. Calculated as the integral of the hurdle rate times the capital profile, KVA has become a material pricing component as Basel III substantially increased derivative capital requirements.
How does CVA differ between bilateral and centrally cleared derivatives, and why do regulators treat them differently for capital purposes?
Bilateral CVA reflects the expected loss from counterparty default on uncleared derivatives, while cleared trades have near-zero CVA due to daily margining, initial margin, and the CCP default waterfall. Regulators apply a 2% risk weight to cleared exposures versus full counterparty risk weights for bilateral trades.
How does a zero-coupon inflation swap work, and what does the swap rate tell us about inflation expectations?
A zero-coupon inflation swap exchanges a single payment at maturity: realized CPI-based inflation versus a fixed rate compounded over the tenor. The fixed rate directly represents the market's breakeven inflation expectation and is considered a cleaner measure than TIPS breakevens.
How do credit migration matrices work, and how do you use transition probabilities in portfolio risk?
A credit migration (or transition) matrix is a square matrix showing the probability that a borrower with rating X at the start of a period will have rating Y at the end. It is foundational to credit portfolio models like CreditMetrics.
How do you calculate parametric VaR for a multi-asset portfolio using the correlation matrix?
Portfolio parametric VaR uses the covariance matrix to account for diversification effects. The formula VaR_p = z x sqrt(w' Sigma w) x Value produces a lower (diversified) VaR than the sum of individual VaRs when correlations are below 1, with negative correlations providing the greatest benefit.
How does the Merton model calculate distance to default and what are its limitations?
The Merton model treats equity as a call option on firm assets, with default occurring when assets fall below debt. Distance to Default measures how many standard deviations assets are above the default point, but the model has practical limitations including unobservable inputs and oversimplified capital structure.
How does the Merton model work for measuring credit risk, and what does the structural diagram look like?
The Merton model treats equity as a European call option on the firm's assets with strike price equal to the face value of debt. Default occurs when asset value falls below debt at maturity. The Distance to Default measures how many standard deviations the firm is from the default threshold.
What is funding liquidity management and how do banks monitor their funding positions?
Funding liquidity management is the process of ensuring a bank can meet all its payment obligations on time and in full without incurring unacceptable losses. Treasurers build daily cash flow ladders, monitor funding diversification, and maintain liquidity buffers across multiple time horizons.
How do banks collect operational risk loss data and why is it so challenging?
Loss data collection is the foundation of operational risk measurement, but it's one of the most practically difficult aspects of risk management. Banks maintain internal loss databases capturing every operational loss above a defined threshold, classified by Basel's 7 event categories.
What are the different capital buffers under Basel III and how do they interact?
Basel III layers multiple capital buffers on top of the minimum CET1 requirement to build resilience in the banking system. These include the capital conservation buffer (2.5%), countercyclical buffer (0-2.5%), and G-SIB surcharge (1-3.5%), which stack progressively.
How do climate VaR models adapt traditional VaR frameworks to capture long-horizon climate scenarios?
Climate VaR adapts traditional VaR by using forward-looking climate scenarios instead of historical data, projecting physical and transition risk impacts over 10-30 year horizons. The framework chains climate pathways through economic impact models to company-level valuation adjustments.
How do the various XVA components (CVA, DVA, FVA, MVA, KVA) interact, and what conflicts arise when they are optimized independently?
XVA components interact and sometimes conflict: collateralizing reduces CVA but increases FVA, clearing reduces MVA but may increase KVA, and FVA overlaps with DVA. Banks manage these conflicts by centralizing XVA under a single desk that jointly optimizes all adjustments.
What is KVA (Capital Valuation Adjustment), and how does the cost of holding regulatory capital affect derivatives pricing?
KVA represents the lifetime cost of regulatory capital consumed by a derivative trade. It is calculated by projecting future capital requirements and applying the spread between the required return on equity and the risk-free rate, reflecting the opportunity cost to shareholders.
How does close-out netting reduce counterparty exposure, and why is legal enforceability across jurisdictions so critical?
Close-out netting reduces counterparty exposure by collapsing all trades under a master agreement into a single net obligation upon default, potentially cutting exposure by 80-95%. This benefit depends entirely on legal enforceability in the counterparty's jurisdiction.
How does FRTB's desk-level opt-in work for choosing between IMA and the Standardized Approach?
FRTB allows each trading desk to independently qualify for IMA or use the Standardized Approach. Desks must pass PLAT and backtesting for IMA eligibility, but banks may voluntarily choose SA when NMRF charges or infrastructure costs make IMA uneconomical.
How does the IRRBB standardized framework measure interest rate risk in the banking book, and what are the key metrics?
The IRRBB framework measures banking book interest rate risk through delta EVE (change in economic value of equity) and delta NII (change in net interest income) across six prescribed shock scenarios. Banks breaching the 15% of Tier 1 outlier threshold on delta EVE face supervisory action.
What is the Basel III output floor, and how does it constrain banks using internal models for capital calculation?
The Basel III output floor requires that total risk-weighted assets from internal models cannot fall below 72.5% of the standardized approach calculation. It addresses concern that internal models have produced artificially low capital figures, phasing in from 50% in 2023 to the full 72.5% by 2028.
Why is the VIX futures term structure usually in contango, and how does this create a structural drag for long VIX strategies?
VIX futures are usually in contango because volatility mean-reverts and buyers pay an insurance premium for crash protection. This creates a structural roll yield drag of 25-40% annually for long VIX positions, as each monthly roll involves buying a more expensive contract.
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