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How does the CCP loss allocation waterfall work when a clearing member defaults, and what happens if losses exceed the default fund?
The CCP loss allocation waterfall absorbs losses sequentially: first the defaulter's margin and default fund contribution, then the CCP's own equity, then non-defaulting members' contributions, then assessment powers. If all layers are exhausted, the CCP may haircut variation margin gains or tear up contracts.
What is TVA (Total Valuation Adjustment), and how does a dealer aggregate all XVA components into a single pricing framework?
TVA aggregates all XVA components (CVA, DVA, FVA, MVA, KVA, ColVA) into a single pricing adjustment. The all-in derivative price equals the risk-free mid-market value minus TVA, but aggregation requires unified simulation to capture correlations and avoid double-counting.
Why do Eurodollar futures rates need a convexity adjustment when used to build a forward rate curve, and how is it calculated?
Eurodollar futures rates exceed true forward rates because daily margining creates a correlation between P&L and reinvestment rates that favors the short. The convexity adjustment, approximately 0.5 x sigma-squared x T1 x T2, corrects this bias and grows quadratically with maturity.
How do you construct a cross-hedge using T-note futures for a corporate bond portfolio, and what are the main sources of basis risk?
Cross-hedging corporate bonds with T-note futures requires a yield beta adjustment because corporate yields move more (or less) than Treasuries. The beta-adjusted hedge ratio captures the historical relationship, but residual basis risk from credit spread changes remains unhedgeable with Treasuries alone.
What are the key terms in a Credit Support Annex (CSA), and how do they shape the collateral exchange process between derivatives counterparties?
The CSA defines threshold (exposure level before collateral is required), minimum transfer amount, eligible collateral types, haircuts, and valuation frequency. These parameters collectively determine when margin calls are triggered and how much collateral must be exchanged.
What is the difference between term SOFR and overnight SOFR, and when should each be used in financial contracts?
Overnight SOFR is the actual daily repo rate published by the NY Fed, while term SOFR is a forward-looking rate for 1M/3M/6M periods derived from SOFR futures. Term SOFR is preferred for loans because borrowers know the rate upfront, while overnight SOFR dominates derivatives.
How is the Default Risk Charge calculated under FRTB, and how does it differ from the old incremental risk charge?
The Default Risk Charge under FRTB captures jump-to-default risk using a Gaussian copula simulation at 99.9% confidence over a 1-year horizon. It replaces the IRC with broader scope covering equities and constrained hedge recognition for maturity mismatches.
What is a rainbow option, and how does the correlation between underlying assets affect its pricing?
Rainbow options pay off based on the relative performance of multiple underlying assets. For best-of variants, lower correlation between assets increases the option's value because the spread between outcomes widens, improving the chance of at least one strong performer.
What are impact tolerances in operational resilience, and how do banks set them for critical business services?
Impact tolerances define the maximum disruption a bank can accept for critical business services before causing intolerable external harm. Unlike RTOs that focus on system recovery time, impact tolerances consider duration, volume, value, and data integrity from the perspective of consumers and market stability.
How do banks conduct climate scenario analysis for physical risk, and what methodologies translate climate events into financial losses?
Banks assess physical climate risk by mapping loan collateral to climate hazard zones, applying damage functions, and translating property losses into credit metric deterioration. The process combines geospatial data, climate models, and traditional credit risk frameworks across multi-decade horizons.
What is a reinsurance sidecar, and how does it differ from a catastrophe bond as a risk transfer vehicle?
A reinsurance sidecar is a short-lived SPV that shares a proportional slice of a reinsurer's book with investors, who participate in both premiums and losses. Unlike cat bonds with event triggers, sidecars provide exposure to actual underwriting results, offering higher upside but less liquidity.
How does insurance risk securitization work, and what role do catastrophe bonds play in transferring tail risk to capital markets?
Catastrophe bonds transfer insurance tail risk to capital market investors through SPV structures. Investors earn high coupons for bearing low-probability catastrophic losses, with triggers ranging from indemnity-based to parametric. The key attraction is near-zero correlation with traditional financial markets.
How does default correlation affect the value of different CDO tranches, and why do equity and senior tranches respond in opposite directions?
Higher default correlation makes extreme outcomes more likely while reducing moderate outcomes. Since equity tranches only suffer from moderate defaults, higher correlation benefits them by increasing the probability of zero defaults. Senior tranches, which only suffer from extreme defaults, are harmed because correlation increases the probability of catastrophic loss events.
What is risk contribution, and how do you decompose a portfolio's total risk into individual obligor contributions?
Risk contribution decomposes a portfolio's total unexpected loss into additive components for each exposure using the Euler decomposition method. Positions with high standalone risk and high correlation to the rest of the portfolio contribute disproportionately to portfolio risk.
How does the RAROC framework work for lending decisions, and what determines the hurdle rate?
RAROC measures risk-adjusted profitability by dividing risk-adjusted income (revenue minus costs minus expected loss) by economic capital. Loans are approved when RAROC exceeds the hurdle rate, which is typically the bank's cost of equity.
How do storage costs and convenience yield determine whether a commodity futures curve is in contango or backwardation?
The shape of a commodity futures curve depends on the interplay between storage costs, the risk-free rate, and the convenience yield. When convenience yield exceeds carrying costs, the curve is in backwardation; when carrying costs dominate, the curve is in contango.
How do you calculate the fair value of an equity index future and identify when it trades rich or cheap?
The fair value of an equity index futures contract is determined by the cost-of-carry model: F = S x e^{(r - q) x T}. When actual futures trade above fair value they are 'rich' and a cash-and-carry arbitrage may be profitable.
What is Margin Valuation Adjustment (MVA) and why has it become important?
MVA represents the cost of funding initial margin posted over the life of a derivative trade. Since mandatory bilateral margin requirements (UMR) were phased in, banks must post segregated initial margin that cannot be reused, creating a real funding cost.
How does the Gaussian copula model default time correlation, and why was it controversial?
The Gaussian copula model was the industry standard for pricing CDOs and other correlation-dependent credit products before the 2008 crisis. Understanding both its mechanics and its flaws is heavily tested in FRM Part II.
Can someone explain the actual cash flow mechanics of a currency swap step by step?
Currency swaps differ from plain-vanilla interest rate swaps in three crucial ways: principals ARE exchanged at inception and maturity, interest payments are in two different currencies, and there is FX risk layered on top of interest rate risk.
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