How To Calculate Excess Returns In Excel

Excess returns measure how much an investment outperforms (or underperforms) a benchmark or risk-free rate. This metric is crucial for evaluating investment performance, portfolio management, and financial analysis. In this comprehensive guide, we’ll explain how to calculate excess returns in Excel, including step-by-step instructions, formulas, and practical examples.

What Are Excess Returns?

Excess returns represent the difference between an investment’s actual return and either:

• A benchmark index return (e.g., S&P 500)
• The risk-free rate (typically 10-year Treasury yield)

The formula for basic excess return is:

Excess Return = Portfolio Return – Benchmark Return

Why Calculate Excess Returns?

Understanding excess returns helps investors:

1. Evaluate performance: Determine if a portfolio manager is adding value
2. Assess risk-adjusted returns: Compare returns relative to risk taken
3. Make informed decisions: Identify underperforming investments
4. Calculate alpha: Measure skill-based returns beyond market movements

Step-by-Step Guide to Calculating Excess Returns in Excel

Method 1: Basic Excess Return Calculation

Follow these steps to calculate simple excess returns:

1. Prepare your data: Create columns for dates, portfolio returns, and benchmark returns
2. Enter the formula: In a new column, enter =[Portfolio Return Cell]-[Benchmark Return Cell]
3. Format as percentage: Select the results column, right-click → Format Cells → Percentage
4. Calculate average: Use =AVERAGE() to find the mean excess return

Date	Portfolio Return	S&P 500 Return	Excess Return
Jan 2023	4.2%	3.8%	=B2-C2 → 0.4%
Feb 2023	2.7%	2.1%	=B3-C3 → 0.6%
Mar 2023	-1.5%	-2.3%	=B4-C4 → 0.8%
Average	=AVERAGE(B2:B4)	=AVERAGE(C2:C4)	=AVERAGE(D2:D4)

Method 2: Risk-Adjusted Excess Returns

For more sophisticated analysis, calculate excess returns relative to risk:

1. Calculate standard deviation: Use =STDEV.P() for both portfolio and benchmark
2. Compute Sharpe ratio: (Portfolio Return – Risk-Free Rate) / Portfolio Standard Deviation
3. Calculate information ratio: (Portfolio Return – Benchmark Return) / Tracking Error

Example formulas:

=STDEV.P(B2:B13)  // Portfolio standard deviation
=(AVERAGE(B2:B13)-D1)/STDEV.P(B2:B13)  // Sharpe ratio (D1 = risk-free rate)
=(AVERAGE(B2:B13)-AVERAGE(C2:C13))/STDEV.P(D2:D13)  // Information ratio
        

Method 3: Annualized Excess Returns

To compare returns across different time periods:

1. For monthly data: Use =(1+average_monthly_excess)^12-1
2. For quarterly data: Use =(1+average_quarterly_excess)^4-1
3. For daily data: Use =(1+average_daily_excess)^252-1

Advanced Excel Techniques for Excess Returns

Using XIRR for Time-Weighted Returns

The XIRR function calculates internal rate of return for irregular cash flows:

=XIRR(values_range, dates_range) - XIRR(benchmark_values, benchmark_dates)
        

Creating Visualizations

To visualize excess returns:

1. Select your data range including dates
2. Insert → Line Chart
3. Add a secondary axis for the benchmark
4. Format the difference as a filled area

Example Excel chart visualizing excess returns over time

Common Mistakes to Avoid

• Using arithmetic instead of geometric means: Always use geometric averaging for multi-period returns
• Ignoring time periods: Ensure all returns are on the same time basis (daily, monthly, annual)
• Mismatched benchmarks: Compare apples to apples (e.g., don’t compare a tech stock to the S&P 500)
• Neglecting survivorship bias: Be aware that published indices often exclude failed companies
• Forgetting to annualize: Raw excess returns aren’t comparable across different time horizons

Real-World Applications of Excess Returns

Application	How Excess Returns Are Used	Example Metric
Mutual Fund Evaluation	Compare fund performance to benchmark index	Alpha (Jensen’s Alpha)
Hedge Fund Analysis	Assess manager skill beyond market exposure	Information Ratio
Portfolio Optimization	Identify assets with persistent excess returns	Sortino Ratio
Performance Attribution	Decompose returns into market vs. skill components	Brinson Model
Executive Compensation	Tie bonuses to outperformance targets	Hurdle Rate

Academic Research on Excess Returns

Numerous studies have examined excess returns across different asset classes:

• Fama-French Three Factor Model: Shows that small-cap and value stocks historically generate positive excess returns
• Momentum Effect: Stocks with recent positive returns tend to continue outperforming (Jegadeesh and Titman, 1993)
• Low-Volatility Anomaly: Low-volatility stocks often deliver higher risk-adjusted returns (Ang et al., 2006)
• Quality Factor: Companies with stable earnings and low debt generate persistent excess returns (Asness et al., 2013)

For authoritative information on investment performance measurement, refer to these resources:

SEC Guide on Performance Calculations

This SEC risk alert provides regulatory guidance on proper performance calculation methodologies that investment advisers should follow.

Academic research on excess returns and market efficiency:

Columbia Business School Working Papers

Access cutting-edge research on asset pricing, market anomalies, and excess return generation from leading finance academics.

Excel Template for Calculating Excess Returns

To implement these calculations in your own spreadsheet:

1. Create columns for:
   • Date
   • Portfolio Value
   • Benchmark Value
   • Portfolio Return
   • Benchmark Return
   • Excess Return
   • Cumulative Excess Return
2. Use these formulas:

   // Monthly returns
   =((B3-B2)/B2)*100
   
   // Excess return
   =E2-F2
   
   // Cumulative excess
   =SUM($G$2:G2)
                   

3. Add conditional formatting to highlight positive/negative excess returns
4. Create a dashboard with:
   • Average excess return
   • Maximum drawdown
   • Sharpe ratio
   • Win rate (% of positive excess return months)

Frequently Asked Questions

What’s the difference between excess return and alpha?

While both measure outperformance, alpha specifically represents risk-adjusted excess return. Alpha considers the portfolio’s beta (market exposure), while basic excess return is simply the return difference.

Should I use arithmetic or geometric excess returns?

For multi-period analysis, always use geometric returns (compounded). Arithmetic returns overstate performance over time due to the effect of compounding.

How often should I calculate excess returns?

Most professionals calculate excess returns monthly for equity portfolios and quarterly for less liquid assets. The frequency should match your investment horizon and reporting needs.

Can excess returns be negative?

Yes. Negative excess returns indicate underperformance relative to the benchmark. This could result from poor stock selection, high fees, or unfavorable market conditions.

What’s a good excess return?

This depends on the asset class and market conditions. Historically, top-quartile equity mutual funds achieve 1-3% annualized excess returns net of fees. Hedge funds target 4-6% excess returns (2-3% net of fees).

Conclusion

Calculating excess returns in Excel provides powerful insights into investment performance. By mastering these techniques, you can:

• Identify truly skilled portfolio managers
• Optimize your asset allocation
• Make data-driven investment decisions
• Better understand your risk-adjusted returns

Remember that excess returns should be evaluated over complete market cycles (3-5 years minimum) and always in the context of the risks taken to achieve them. For most investors, consistent positive excess returns of even 1-2% annually can compound to meaningful wealth creation over time.

Use the calculator above to experiment with different scenarios, and download our free Excel template to implement these calculations in your own investment analysis.