Risk — Pomegra Wiki

Operational Risk Modeling Measuring losses from internal process failures, human error, and system breakdowns using loss data and scenario analysis.

Operational Risk Types and Examples Operational risk types and examples cover people, process, systems, and external events—Basel's framework for non-market, non-credit losses in financial institutions.

Output Floor: How Basel IV Limits Internal Model Advantages The output floor under Basel IV caps capital relief from internal models at 72.5 percent relative to the standardised approach. Learn how it works and why regulators imposed it.

Overlay Currency Program A dedicated hedging mandate that separates currency risk management from asset management.

Parameter Risk Parameter risk is the exposure to losses when input parameters in a financial model are estimated incorrectly or change unexpectedly, causing the model's output to be wrong.

Parametric VaR Parametric value-at-risk (parametric VaR) is a method of calculating value-at-risk by assuming returns follow a statistical distribution and using the distribution's parameters to estimate the loss threshold.

Partial Hedge vs Full Hedge: When to Hedge Only Part of a Position Decision framework for choosing between fully hedging and partially hedging an exposure, including cost-benefit analysis and real-world scenarios.

Pillar 2 Capital Requirement vs Pillar 1 Pillar 2 capital requirement vs Pillar 1: how supervisory add-ons layer atop standardised minimums to cover idiosyncratic bank risks.

Pillar 3 Market Discipline The Basel disclosure framework requiring banks to publish detailed risk, capital, and trading data so market participants can assess solvency and enforce prudential standards.

Pipeline Risk Market exposure carried by a bank on committed but unhedged loan or bond underwriting positions prior to placement.

Political Risk Investment losses caused by government actions, policy reversals, expropriation, civil unrest, or regime change.

Political Risk in Emerging Market Investing How expropriation, capital controls, and sudden regulatory reversals damage returns in emerging markets and why equity and bond valuations underestimate these threats.

Portfolio Stress Testing Methods Stress testing portfolio methods: scenario analysis, historical replay, and hypothetical shocks used to measure portfolio losses under extreme conditions.

Position Sizing The practice of determining how much capital to allocate to a single trade relative to total portfolio capital.

Position Sizing for Risk Management Position sizing rules like Kelly criterion, fixed-fractional, and volatility-scaled sizing control per-trade risk exposure. Learn how to apply each method.

Prepayment Risk Prepayment risk is the danger that a borrower will repay a loan or mortgage ahead of schedule, typically when interest rates fall, forcing the lender to reinvest principal at lower rates.

Prepayment Risk in Mortgage-Backed Securities How prepayment risk in mortgage-backed securities forces reinvestment at lower rates when borrowers repay early, reducing investor returns.

Pro-Cyclicality in Bank Capital Requirements Pro-cyclical bank capital rules force lenders to hold more capital when risks rise, often tightening credit precisely when the economy deteriorates most.

Probability of Default Estimates the likelihood that a borrower will fail to meet obligations over a specified time horizon, typically one year.

Proxy Hedging Using a liquid, correlated instrument to hedge an exposure that is illiquid, bespoke, or non-tradable.

Prudential Treatment of Crypto Assets Under Basel Rules How Basel Committee rules classify crypto assets into two groups and apply a 1,250% risk weight and exposure limits to bank holdings of unbacked tokens.

Put Risk Put risk is the exposure to unfavourable consequences when a put option embedded in a security is exercised, typically forcing the holder to buy an asset at an unfavourable price or time.

Quanto Hedging Hedging instruments whose payoffs are delivered in a currency different from their underlying, eliminating FX-asset correlation risk.

Quanto Option vs Cross-Currency Swap as a Hedge Compare quanto options and cross-currency swaps as hedges for international investments: quanto separates FX risk from asset returns; cross-currency swap exchanges cash flows in two currencies.

Realized Volatility vs Implied Volatility: What the Gap Means for Risk Realized volatility measures past price swings; implied volatility forecasts future moves from option prices. The gap between them signals market mispricing and sentiment.

Rebalancing Frequency and Portfolio Risk: How Often Is Enough? Examines how rebalancing interval affects drift risk, transaction costs, and tail exposure, with guidance on choosing calendar vs. threshold-based approaches.

Regime-Switching Volatility Models in Risk Management How regime-switching models detect shifts between market states and improve risk forecasts during volatility transitions.

Regulatory Capital Deductions: Goodwill and Intangibles Basel rules require banks to deduct goodwill and most intangible assets from Common Equity Tier 1 capital, reducing post-acquisition capital ratios even though accounting goodwill appears on the balance sheet.

Regulatory Sandbox for Fintech: How It Works How regulators allow fintech firms to test products under relaxed rules within defined boundaries before requiring a full banking or payments licence.

Reinvestment Risk Reinvestment risk is the danger that coupon payments from a bond or principal repayment must be reinvested at lower interest rates than the original yield, reducing total return.

Reinvestment Risk in Fixed Income Reinvestment risk fixed income explains how falling rates force bondholders to reinvest coupons and principal at lower yields, reducing total return below the promised yield-to-maturity.

Reputational Risk The financial damage to a firm when trust erodes due to misconduct, scandal, or breach of stakeholder expectations.

Reputational Risk at Financial Firms Reputational risk at financial firms: damage to public trust triggering deposit runs, client attrition, regulatory scrutiny, and loss of franchise value.

Residual Risk The portion of risk that persists after all feasible controls, hedges, and mitigation strategies have been applied.

Resolution Planning and Living Wills for Banks Bank living will resolution planning: what regulators demand in credible failure plans and why rejection triggers capital penalties.

Reverse Stress Test A reverse stress test works backwards from an unacceptable outcome — such as catastrophic loss or insolvency — to identify the scenarios that could cause it, revealing vulnerabilities and informing risk management.

Rho Hedging in Interest Rate Options Rho measures an option's sensitivity to interest rate changes. Hedging rho in long-dated options requires interest-rate instruments.

Ring-Fencing in Retail Banking: Structural Reform Explained Ring-fencing separates retail deposit-taking from investment banking. Learn how UK and EU structural reforms reshape capital, governance, and systemic risk.

Risk Aggregation Across Asset Classes Risk aggregation combines VaR or factor exposures across equities, bonds, and derivatives into a firm-wide risk number. Learn the practical challenges.

Risk Appetite Statement Explained Risk appetite statement explained: how boards and management set quantitative and qualitative limits on the risks a firm will accept to achieve business objectives.

Risk Attribution in a Long-Short Portfolio Risk attribution in long-short portfolios decomposes total risk into contributions from gross exposure, net exposure, and factor loadings to understand where systemic risk comes from.

Risk Budgeting The process of allocating a portfolio's total risk allowance across sub-strategies, asset classes, or positions to achieve a target risk level.

Risk Budgeting for Retirees Risk budgeting for retirees allocates drawdown tolerance across income, equity, and longevity exposures to maintain stable spending throughout retirement.

Risk Budgeting in Portfolio Allocation Risk budgeting allocates a fixed total risk budget across positions based on risk contribution rather than dollar weight, with worked examples.

Risk Contribution Decomposition Method that attributes total portfolio risk to individual positions using marginal risk contributions and Euler's homogeneity theorem.

Risk Decomposition and Factor Contributions Risk decomposition breaks portfolio risk into contributions from individual factors or holdings, enabling precise hedging decisions and accountability.

Risk Decomposition by Factor in Multi-Factor Models How a portfolio's total variance is attributed to individual risk factors using factor model algebra, revealing the true drivers of portfolio risk.

Risk Factor Sensitivity Measures how a portfolio's value changes for each unit move in underlying market risk factors like interest rates, equity indices, or spreads.

Risk Factor Sensitivity Explained Risk factor sensitivity metrics—delta, DV01, beta—measure how much a position's value changes per unit move in an underlying risk driver.

Risk Horizon and Holding Period in VaR Understand holding period and risk horizon in VaR—what they mean, how to scale from one-day to ten-day VaR under Basel rules, and the assumptions behind scaling.

Risk Measurement When Returns Are Not Normally Distributed Gaussian models fail for fat-tailed returns. Non-parametric methods, higher moments, and extremal distribution fitting help measure risk in real portfolios.

Risk Parity for Small Portfolios Risk parity for small portfolios approximates equal risk contribution across assets without leverage, hitting practical limits below $100k.

Risk Parity Portfolio Explained Risk parity portfolios allocate capital so each asset class contributes equally to total risk—not dollar-weighted—creating more stable multi-asset returns.

Risk Tolerance vs Risk Capacity Risk tolerance is your psychological willingness to accept losses; risk capacity is how much loss your finances can actually absorb. Both must align for a sound plan.

Risk-Adjusted Position Sizing for a Small Account How fixed-fractional and volatility-scaled position sizing rules work when total capital is limited and a single loss can be material.

Risk-Adjusted Return Explained How risk-adjusted return metrics like Sharpe and Sortino ratios compare investments with different risk levels on equal footing.

Risk-Adjusted Return on Capital A bank or business unit's profit scaled by the economic capital required to absorb potential losses.

Risk-Weighted Assets A regulatory framework that scales bank exposures by asset risk weight to calculate the denominator of capital adequacy ratios.

Rolling Hedge Strategy Explained How firms use rolling hedge strategies with futures to maintain long-term commodity and interest-rate exposure without holding distant contracts.

Rolling Window Volatility Estimation Understand rolling window volatility estimation—how fixed-length windows track volatility over time, the trade-off between responsiveness and noise, and comparison to EWMA.