## **Learning Outcomes**

After reading this article, you will be able to explain the purpose and calculation of Risk-Adjusted Return on Capital (RAROC), describe key concepts of capital allocation and economic capital, and assess the use of risk-adjusted performance metrics in financial decision-making. You will also understand their importance in aligning risk management and shareholder value within financial institutions.

## **ACCA Advanced Financial Management (AFM) Syllabus**

For ACCA Advanced Financial Management (AFM), you are required to understand how performance can be measured on a risk-adjusted basis and how capital allocation decisions are informed by such measures. Key syllabus areas for this topic include:

- The rationale and calculation of RAROC as a risk-adjusted performance metric
- The use of economic capital concepts in evaluating business units and investments
- Methods for allocating capital based on risk exposure and business strategy
- Application of risk-adjusted metrics to support value-based management
- Analysis of limitations, potential misalignment, and challenges with risk-adjusted metrics in performance measurement and decision-making

## **Test Your Knowledge**

_Attempt these questions before reading this article. If you find some difficult or cannot remember the answers, remember to look more closely at that area during your revision._

1. Which metric expresses profit as a return relative to the risk capital allocated to a business unit?
   a) GAAP Return on Equity  
   b) Economic Value Added (EVA)  
   c) Risk-Adjusted Return on Capital (RAROC)  
   d) Net Profit Margin

2. What is the principal reason for allocating capital based on risk in financial institutions?
   a) Regulatory compliance only  
   b) To maximise business unit size  
   c) To align returns with risk taken and support value-based decisions  
   d) To reduce reported profits

3. True or false? Economic capital represents the minimum legal capital required by regulators.

4. List two components typically included when calculating the risk capital (denominator) for RAROC.

## **Introduction**

Managing financial performance without accounting for risk is increasingly inadequate, particularly for banks and capital-intensive businesses. Risk-adjusted metrics, such as RAROC, allow firms to compare profitability of business units and investments on a like-for-like basis, factoring in economic risks rather than using only absolute profits or revenues. A robust capital allocation framework ensures that risk and return are matched at both the business unit and enterprise level, helping organisations achieve sustainable shareholder value and comply with regulatory expectations.

> **Key Term: Risk-Adjusted Return on Capital (RAROC)**
> RAROC expresses net profit after adjusting for expected losses and risk charges as a percentage of the economic capital allocated to absorb unexpected losses.

## **RATIONALE FOR RISK-ADJUSTED PERFORMANCE MEASUREMENT**

Traditional performance indicators, such as profit or return on equity, do not reflect the riskiness of the activities that generate returns. As a result, they can incentivise risk-taking behavior that might be detrimental to a firm’s stability.

### Risk as a Basis for Capital Allocation

Allocating capital based on risk ensures that resources are directed towards activities generating the highest risk-adjusted returns, rather than favouring those with simply the highest nominal profits. This aligns management incentives with shareholder value creation and encourages prudent risk-taking.

> **Key Term: economic capital**
> The estimated level of capital a business needs to absorb unexpected losses with a high degree of confidence, based on its risk profile.

## **RAROC: PURPOSE AND CALCULATION**

RAROC aims to provide a single metric for comparing the performance of products, portfolios, or business lines with differing risk profiles. It is commonly used by banks, insurance firms, and large corporations to guide both internal management decisions and external reporting.

RAROC is calculated as:

$$
\text{RAROC} = \frac{\text{Net Income} - \text{Expected Loss} - \text{Risk Charges}}{\text{Economic Capital}}
$$

Where:

- **Net Income** usually means after-tax profits.
- **Expected Loss** is the average anticipated loss from risks taken (such as defaults or claims).
- **Risk Charges** may be provisions for operational or regulatory capital requirements.
- **Economic Capital** is the estimated capital to cover unexpected losses at a chosen confidence level.

> **Key Term: expected loss**
> The average annual loss forecasted from default, claims, or other risk events over a planning period.
>
> **Key Term: risk-adjusted performance measure**
> Any metric that evaluates profit or value relative to the amount of risk undertaken, such as RAROC or economic profit.

## **APPLICATIONS OF RAROC IN BUSINESS DECISION-MAKING**

RAROC is used for:

- Comparing business units, deals, or clients to identify which generate superior returns for the risk taken
- Pricing products and setting risk-based limits
- Guiding capital allocation to projects or divisions to maximise overall risk-adjusted return
- Supporting value-based management and shareholder value

RAROC-based decisions encourage investment in activities that deliver excess returns over the firm’s cost of capital, after adjusting for risk.

### **Worked Example 1.1**

A commercial bank has two business units. Unit A generates \$20m profit with \$150m economic capital allocated; expected losses are \$4m. Unit B generates \$12m profit with \$60m economic capital; expected losses are \$2m.

Calculate RAROC for both units and determine which performs better on a risk-adjusted basis.

> **Answer:**
>
> Unit A: RAROC = (\$20m − \$4m)/\$150m = 10.7%
>
> Unit B: RAROC = (\$12m − \$2m)/\$60m = 16.7%
>
> Although Unit A is more profitable in absolute terms, Unit B delivers a higher risk-adjusted return and better uses its risk capital.

## **CAPITAL ALLOCATION CONCEPTS**

Risk-sensitive capital allocation is fundamental to effective risk management and performance measurement.

### Economic Capital vs. Regulatory Capital

Regulatory capital is the minimum set by regulators to protect depositors and the financial system. Economic capital is internally estimated, reflecting the actual risk profile of specific activities, often at a higher standard than regulatory minima.

> **Key Term: regulatory capital**
> The minimum amount of capital a financial institution is legally required to hold, as determined by regulators.

## **ALLOCATING CAPITAL BY RISK CONTRIBUTION**

Capital allocation frameworks should assign economic capital to business lines or deals based on their marginal or standalone risk contribution to the total risk of the enterprise.

Popular risk types considered in such allocations include:

- Credit risk
- Market risk
- Operational risk
- Business risk

Allocation methods may use Value-at-Risk (VaR) or stress-testing models to determine the share of group economic capital each unit needs.

### **Worked Example 1.2**

A financial services group calculates total economic capital of \$1bn. Credit risk requires \$500m, market risk \$200m, operational risk \$150m, and business risk \$150m. The group has three divisions:

- Corporate Banking: 40% of group credit risk, 5% of group market risk, 10% of group operational risk
- Investment Banking: 20% credit risk, 80% market risk, 20% operational risk
- Retail Banking: 40% credit risk, 15% market risk, 70% operational risk

Calculate the economic capital allocated to each division.

> **Answer:**
>
> Calculate each division's share:
>
> - **Corporate Banking:** \$500m × 40% + \$200m × 5% + \$150m × 10% = \$200m + \$10m + \$15m = \$225m
> - **Investment Banking:** \$500m × 20% + \$200m × 80% + \$150m × 20% = \$100m + \$160m + \$30m = \$290m
> - **Retail Banking:** \$500m × 40% + \$200m × 15% + \$150m × 70% = \$200m + \$30m + \$105m = \$335m
>
> The remaining \$150m for business risk can be similarly allocated by each division's pro-rata risk contribution.

### **Exam Warning**

> ACCA may require you to discuss the limitations of RAROC. Remember that estimated economic capital depends on complex models and assumptions. If these are incorrect, RAROC may be misleading. Always question the quality of foundational data and model assumptions.

## **INTERPRETING AND ACTING ON RAROC RESULTS**

A key use of RAROC is to determine whether business lines are creating value after accounting for risk. If RAROC for a unit or transaction exceeds the firm’s cost of capital, the activity is value-adding. If not, management should improve performance, reduce risk, or reallocate capital elsewhere.

## **LIMITATIONS AND CHALLENGES OF RISK-ADJUSTED PERFORMANCE METRICS**

While risk-adjusted measures support sounder decision-making and regulatory compliance, they have inherent limitations:

- Reliance on model assumptions for estimating economic capital or expected loss
- Potential misalignment between internal measures and external regulatory or rating agency requirements
- Data quality issues or incorrect allocation methods may distort true risk-adjusted profitability
- Metrics like RAROC are less useful where risks cannot be quantified reliably or capital allocation models are underdeveloped

### **Revision Tip**

> When discussing RAROC or economic capital in the exam, always state what risks are included and how capital is determined. Briefly mention key limitations if required.

## **Summary**

RAROC and the economic capital framework enable firms to compare business performance on a comparable, risk-adjusted basis. Effective capital allocation ensures that resources are channelled to value-adding activities, supporting both regulatory objectives and shareholder value. However, always remain critical of the limitations and ensure that decision-makers understand model risk and implementation challenges.

## **Key Point Checklist**

_This article has covered the following key knowledge points:_

- Explain the rationale for risk-adjusted performance measures like RAROC
- Calculate RAROC using profit, expected loss, and economic capital
- Describe economic capital and its use in capital allocation
- Distinguish between economic and regulatory capital
- Allocate economic capital among business units based on risk contributions
- Interpret RAROC results to support value-based management
- Identify limitations and practical considerations in applying risk-adjusted metrics

## **Key Terms and Concepts**

- Risk-Adjusted Return on Capital (RAROC)
- economic capital
- expected loss
- risk-adjusted performance measure
- regulatory capital

Risk-adjusted performance - RAROC and capital allocation concepts