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# Return on Risk-Adjusted Capital (RORAC) Formula & Example

## What Is Return on Risk-Adjusted Capital (RORAC)?

The return on risk-adjusted capital (RORAC) is a rate of return measure commonly used in financial analysis, where various projects, endeavors, and investments are evaluated based on capital at risk. Projects with different risk profiles are easier to compare with each other once their individual RORAC values have been calculated.

The RORAC is similar to return on equity (ROE), except the denominator is adjusted to account for the risk of a project.

### Key Takeaways

• Return on risk-adjusted capital (RORAC) is commonly used in financial analysis, where various projects or investments are evaluated based on capital at risk.
• RORAC allows for an apples-to-apples comparison of projects with different risk profiles.
• Similar to risk-adjusted return on capital, RAROC differs in that it adjusts the return for risk and not the capital.

## The Formula for RORAC Is

Return on Risk-Adjusted Capital is calculated by dividing a company’s net income by the risk-weighted assets.

﻿ \begin{aligned} &\text{Return on Risk Adjusted Capital}=\frac{\text{Net Income}}{\text{Risk-Weighted Assets}}\\ &\textbf{where:}\\ &\text{Risk-Weighted Assets = Allocated risk capital, economic}\\ &\text{capital, or value at risk}\\ \end{aligned}﻿﻿

## What Does Return on Risk-Adjusted Capital Tell You?

Return on risk-adjusted capital (RORAC) takes into account the capital at risk, whether it be related to a project or company division. Allocated risk capital is the firm's capital, adjusted for a maximum potential loss based on estimated future earnings distributions or the volatility of earnings.

Companies use RORAC to place greater emphasis on firm-wide risk management. For example, different corporate divisions with unique managers can use RORAC to quantify and maintain acceptable risk-exposure levels.

This calculation is similar to risk-adjusted return on capital (RAROC). With RORAC, however, the capital is adjusted for risk, not the rate of return. RORAC is used when the risk varies depending on the capital asset being analyzed.

## Example of How to Use RORAC

Assume a firm is evaluating two projects it has engaged in over the previous year and needs to decide which one to eliminate. Project A had total revenues of $100,000 and total expenses of$50,000. The total risk-weighted assets involved in the project is $400,000. Project B had total revenues of$200,000 and total expenses of $100,000. The total risk-weighted assets involved in Project B is$900,000. The RORAC of the two projects is calculated as:

﻿ \begin{aligned} &\text{Project A RORAC}=\frac{\100,000-\50,000}{\400,000}=12.5\%\\ &\text{Project B RORAC}=\frac{\200,000-\100,000}{\900,000}=11.1\%\\ \end{aligned}﻿

Even though Project B had twice as much revenue as Project A, once the risk-weighted capital of each project is taken into account, it is clear that Project A has a better RORAC.

## The Difference Between RORAC and RAROC

RORAC is similar to, and easily confused with, two other statistics. Risk-adjusted return on capital (RAROC) is usually defined as the ratio of risk-adjusted return to economic capital. In this calculation, instead of adjusting the risk of the capital itself, it is the risk of the return that is quantified and measured. Often, the expected return of a project is divided by value at risk (VaR) to arrive at RAROC.

Another statistic similar to RORAC is the risk-adjusted return on risk-adjusted capital (RARORAC). This statistic is calculated by taking the risk-adjusted return and dividing it by economic capital, adjusting for diversification benefits. It uses guidelines defined by the international risk standards covered in Basel III—which is a set for reforms that are to be implemented by Jan. 1, 2022, and is meant to improve the regulation, supervision, and risk management within the banking sector.

## Limitations of Using Return on Risk-Adjusted Capital – RORAC

Calculating the risk-adjusted capital can be cumbersome as it requires understanding the value at risk calculation.

For related insight, read more about how risk-weighted assets are calculated based on capital risk.