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Calculators and Calculations
Home›Calculators and Calculations›How to Calculate the Risk-Free Rate

How to Calculate the Risk-Free Rate

By Matthew Lynch
October 7, 2023
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Determining the risk-free rate is an essential step in financial analysis and portfolio management. The risk-free rate represents the return an investor can expect to earn on an investment without bearing any risk. Although there is no truly risk-free investment, analysts typically use government bonds as a proxy since they are generally considered low-risk investments. In this article, we will discuss the steps to calculate the risk-free rate for your financial needs.

Step 1: Choose a Proxy for the Risk-Free Rate

As mentioned earlier, there is no truly risk-free investment. Hence, we use an investment with the lowest perceivable risk as a proxy for the risk-free rate. Typically, short-term government bonds or treasury bills issued by stable governments are considered good proxies. For US-based investors, the most commonly used proxies are either three-month Treasury bills or ten-year Treasury notes.

Step 2: Gather Data on Government Bond Yields

Once you’ve decided on a proxy, gather data on the yields of those bonds. You can find this information from various sources like financial news websites (e.g., Bloomberg), stock exchange websites, or financial institutions’ websites.

For instance, if you have chosen US Treasury bills as your proxy and want to use their three-month yield as your reference point, you can look up this data on the US Department of Treasury’s website at www.treasury.gov.

Step 3: Convert Yields to Annual Percentage Rates (APR)

Bond yields can be presented in various forms – yield to maturity (YTM), current yield, running yield, etc. To calculate the risk-free rate accurately, make sure you express these yields as annual percentages.

To convert bond yields into APR:

1. If your bond yield is listed daily or monthly interest rates:

Multiply it by 360 or 12 respectively.

For example:

Daily rate = 0.03% (0.0003)

APR = 0.0003 x 360 = 0.108 (10.8%)

2. If your bond yield is given as Yield to Maturity (YTM), use the YTM’s percentage value directly.

Step 4: Adjust for Inflation

Real returns are adjusted for inflation, reflecting the actual purchasing power of your investment returns. So, subtract the inflation rate from your calculated annual percentage rates obtained in step 3.

Risk-Free Rate (Real Return) = APR – Inflation Rate

For example:

APR = 10.8%

Inflation Rate = 1.5%

Risk-Free Rate = 10.8% – 1.5% = 9.3%

Conclusion

Calculating the risk-free rate is important for making informed decisions about investments and portfolio management. By following these steps, you can determine an accurate estimate of the risk-free rate by using government bond yields as a proxy, converting yields to APR, and adjusting for inflation. Keep in mind that no investment is completely risk-free, and you should always assess your individual circumstances and risk appetite before making financial decisions based on these calculations.

Previous Article

How to Calculate Risk Difference

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Matthew Lynch

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