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RAROC

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RAROC
NameRAROC
Full nameRisk-adjusted return on capital
Introduced1970s–1990s
Used byJPMorgan Chase, Goldman Sachs, Citigroup, Deutsche Bank, HSBC Holdings
RelatedEconomic capital, Value at Risk, Return on equity, Basel II, Basel III

RAROC

RAROC is a risk-adjusted performance measure developed to compare profitability across banks and investment banks by relating risk-sensitive returns to capital charges. Originating in proprietary risk management practice during the late 20th century, it became widely adopted by Morgan Stanley, Barclays, Credit Suisse, and other financial institutions to allocate capital, price transactions, and evaluate business lines against regulatory frameworks like Basel II and Basel III.

Overview

RAROC expresses a ratio of expected or realized return to economic capital, yielding a uniform metric for evaluating activities across retail banking, corporate banking, trading desks, and wealth management. Early adopters such as J.P. Morgan and Salomon Brothers used it alongside credit risk models and market risk systems to reconcile performance reporting with regulatory capital requirements. Institutions including Lloyds Banking Group and Royal Bank of Scotland integrated RAROC into strategic planning, product pricing, and capital allocation committees. RAROC interacts with measures like Economic value added, Risk-adjusted return on risk-adjusted capital, and Sharpe ratio in comparative performance assessment.

Measurement and Calculation

RAROC is typically computed as the ratio of risk-adjusted return (numerator) to capital at risk or economic capital (denominator). Practitioners at Goldman Sachs and UBS derive the numerator by adjusting net income or expected loss for allocated capital charges, funded costs, and operational expenses; the denominator is often based on Value at Risk (VaR), Expected Shortfall, or stress-test-derived capital consistent with Basel Committee on Banking Supervision guidance. Implementation at Wells Fargo and BNP Paribas uses time horizons and confidence levels calibrated to internal models, linking to credit rating migration matrices and loss-given-default assumptions from agencies such as Moody's Investors Service and Standard & Poor's. Typical steps mirror those used in internal capital adequacy assessment process workflows and include: allocating revenues to business units, estimating expected loss using credit portfolio models like those inspired by Vasicek model, mapping unexpected loss to economic capital, and computing the ratio to inform pricing or remediation.

Applications in Banking and Risk Management

Banks deploy RAROC for capital allocation across asset-backed securities, mortgage-backed securities, syndicated loans, and trading portfolios managed by entities like BlackRock and PIMCO. Risk committees at ING Group and Santander use RAROC to set return thresholds, prioritize product development, and determine limits for proprietary trading desks. It supports transfer pricing between treasury functions and business units in institutions such as Deutsche Bank and guides decisions on hedging with counterparties like CME Group or Intercontinental Exchange. RAROC informs strategic capital decisions during merger reviews involving HSBC or Barclays, and is used in stress-testing exercises aligned with scenarios from central banks including the Federal Reserve and the European Central Bank.

Limitations and Criticisms

Critics from academia and industry, including commentators referencing work by Robert Merton and Myron Scholes, note that RAROC is sensitive to model assumptions, capital attribution choices, and horizon selection. Reliance on VaR or similar tail metrics invites procyclicality concerns highlighted in analyses following the 2007–2008 financial crisis and critiques relating to systemic risk. Misapplication can incentivize short-term profit seeking by trading desks at Goldman Sachs or Morgan Stanley when capital charges are underestimated. Regulatory scrutiny by Basel Committee on Banking Supervision and central banks has emphasized model risk management, validation, and the need for complementary governance to offset the metric's blind spots. Furthermore, transparency issues arise when comparing RAROC across firms such as Citigroup and Bank of America due to proprietary model differences and accounting treatments governed by standards like those from the International Accounting Standards Board.

Implementation and Governance

Successful deployment requires integrated risk and finance systems, model validation teams, and board-level oversight as seen at Rabobank and UniCredit. Firms typically establish policies for capital attribution, risk charge calibration, and performance thresholds, with audit trails subject to internal audit and external review by entities like Ernst & Young and KPMG. Governance structures often involve asset-liability committees, risk committees, and capital allocation committees that coordinate with treasuries and chief risk officer offices. Regulatory interactions include capital planning submissions to authorities such as the Office of the Comptroller of the Currency and participation in industry working groups organized by Institute of International Finance.

Variants of RAROC include Risk-Adjusted Return on Risk-Adjusted Capital (RARORAC), Economic Capital Return metrics employed by AXA and Prudential plc, and return measures tied to Expected Shortfall or stressed capital. Related metrics used in banking and asset management include Return on equity, Risk-adjusted return on capital (RAROC)-style hybrids, Profit-at-Risk, and Liquidity-at-Risk constructs developed by practitioners at State Street and Northern Trust. Scholars and practitioners reference frameworks from Kenneth Arrow to contemporary financial engineering texts to refine capital attribution and to harmonize performance measurement across global institutions governed by Financial Stability Board recommendations.

Category:Financial risk metrics