Enter Values

All dollar inputs should be annualized and in the same currency.

$
Net interest income + fees from the activity
$
Direct costs allocated to this activity
$
PD x LGD x EAD (or enter directly)
$
Unexpected-loss capital (VaR-based allocation)
%
Return on invested economic capital
%
Minimum acceptable RAROC for approval
RAROC Formula
RAROC = Risk-Adj Income / EC
Risk-Adj Income = Revenue - Costs - EL + Return on EC
Ryan O'Connell, CFA
Calculator by Ryan O'Connell, CFA

RAROC Result

Risk-Adjusted Return on Capital 39.00% Value-Creating
Return on EC $4,000
Risk-Adj Income $39,000
Hurdle Spread +27.00%
Decision Value-Creating
0% Hurdle: 12% 50%+

Formula Breakdown

RAROC = (Revenue - Costs - EL + Return on EC) / EC
Step-by-step calculation

Income Waterfall

Model Assumptions
  • RAROC is computed on a single-period (annualized) basis
  • Economic Capital is unexpected-loss capital (VaR-based), not regulatory capital
  • Return on EC assumes the full EC balance earns the risk-free rate
  • Expected Loss is entered directly; EL should not be double-counted in EC
  • This is one common RAROC implementation; conventions vary across institutions

For educational purposes only. Not financial advice. Banking conventions simplified.

Understanding RAROC

What is RAROC?

RAROC (Risk-Adjusted Return on Capital) is a risk-based profitability metric used primarily by banks to measure and compare the performance of different business units, products, or transactions. Developed by Bankers Trust in the late 1970s, RAROC adjusts returns for the amount of economic capital at risk, enabling fair comparisons across activities with different risk profiles.

RAROC Calculation
Return on EC = Economic Capital x Risk-Free Rate
Risk-Adj Income = Revenue - Costs - EL + Return on EC
RAROC = Risk-Adj Income / Economic Capital
If RAROC > Hurdle Rate, the activity creates value

RAROC vs ROE

Return on Equity (ROE)

Net Income / Book Equity
Uses accounting equity which may not reflect actual risk exposure. Can make high-risk activities look more profitable.

RAROC

Risk-Adj Income / Economic Capital
Uses risk-based capital allocation. Provides apples-to-apples comparison across business units regardless of risk profile.

Capital Allocation Decisions

RAROC helps management make capital allocation decisions:

  • RAROC > Hurdle Rate: Activity creates shareholder value. Consider expanding capital allocation.
  • RAROC = Hurdle Rate: Activity earns exactly the cost of capital. Value-neutral.
  • RAROC < Hurdle Rate: Activity destroys shareholder value. Consider reducing exposure or repricing.
Economic Value Added (EVA): EVA = Risk-Adjusted Income - (EC x Hurdle Rate). When RAROC equals the hurdle rate, EVA is zero. EVA provides the dollar amount of value created, while RAROC provides the percentage return.

Key Components

  • Economic Capital: VaR-based capital for unexpected losses at a high confidence level (99%+)
  • Expected Loss: Average anticipated loss (PD x LGD x EAD), deducted from revenue
  • Return on EC: Credit for investing the economic capital at the risk-free rate
  • Hurdle Rate: Minimum acceptable return, typically the cost of equity capital (10-15%)
Important: RAROC calculations are methodology-sensitive. Results are only comparable when using consistent economic capital methodologies across business units.
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Frequently Asked Questions

RAROC (Risk-Adjusted Return on Capital) measures profit relative to economic capital allocated based on risk, while ROE (Return on Equity) uses accounting book equity. RAROC provides a more accurate picture of risk-adjusted performance because economic capital reflects actual risk exposure rather than accounting conventions. Banks use RAROC to compare business units on an apples-to-apples basis regardless of their risk profiles.

Economic capital is the amount a bank determines it needs to cover unexpected losses at a given confidence level (typically 99% or 99.9%), based on internal risk models. Regulatory capital is the minimum required by banking regulators under frameworks like Basel III. Economic capital is usually higher and more risk-sensitive because it reflects the bank's own assessment of its risk profile rather than standardized regulatory formulas.

Hurdle rates vary by institution and economic conditions, but typically range from 10% to 15% for major banks. The hurdle rate usually approximates the bank's cost of equity capital. Activities with RAROC above the hurdle rate create shareholder value, while those below destroy value. Each bank sets its own hurdle rate based on its capital costs and strategic objectives.

RAROC enables banks to compare profitability across business lines on a risk-adjusted basis. By measuring returns relative to economic capital, management can identify which units generate the highest returns per unit of risk. Capital can then be reallocated from low-RAROC to high-RAROC activities, optimizing the overall return on the bank's capital base while managing risk concentration.

EVA is the dollar amount of value created, calculated as profit minus a capital charge (Economic Capital multiplied by the hurdle rate). RAROC is the ratio version: Risk-Adjusted Net Income divided by Economic Capital. If RAROC equals the hurdle rate, EVA is zero. If RAROC exceeds the hurdle rate, EVA is positive, indicating value creation. Both metrics convey the same information in different formats.

Expected Loss (EL) is typically calculated as Probability of Default (PD) multiplied by Loss Given Default (LGD) multiplied by Exposure at Default (EAD). This represents the average loss anticipated over a given period. In RAROC calculations, EL is subtracted from revenue as a cost of doing business, while economic capital covers unexpected losses beyond this expected amount.
Disclaimer

This calculator is for educational purposes only. RAROC calculations in practice involve more complex methodologies including multi-period analysis, tax adjustments, and institution-specific economic capital models. Results should not be used for actual capital allocation decisions without professional validation.

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Course by Ryan O'Connell, CFA, FRM

Value at Risk (VaR) Course

Master Value at Risk and market risk management. Covers VaR methodologies, expected shortfall, RAROC, and regulatory frameworks with practical Excel implementations.

  • Parametric, Historical, and Monte Carlo VaR
  • Expected Shortfall (CVaR) and tail risk
  • RAROC and economic capital allocation
  • Basel regulatory requirements
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