How to Calculate the Rate of Return on an Investment

The rate of return communicates how efficiently an investment is performing. It is expressed as a percentage of how much the investment’s value has changed compared to its original cost. The higher the ROR, the better the investment. Investors and analysts also use the ROR to compare the attractiveness of different investments.

TL;DR (Too Long; Didn't Read)

To calculate an investment's ROR, first take the current value minus the original investment cost and then divide that amount by the original investment cost. You can multiply the result by 100 to get a percentage value.

Calculating the ROR

The definition of ROR is the change in value divided by original value. The numerator is the current value minus the original investment, and the denominator is the original investment. All costs are included in the original investment amount, including commissions, fees and taxes. Once the quotient is calculated, multiply it by 100 to convert it to a percentage.

ROR Calculation Example

On April 1, you purchase 100 shares of XYZ Corp for $40/share, or $4,000. Transaction costs add another $6, for a total original investment cost of $4,006. At the end of trading on June 30, the price of XYZ is $47, making the current investment value $4,700.

The ROR in decimal form is (($4,700 - $4,006) / $4,006), or 0.1732. Multiply by 100 to convert it to 17.32 percent. The investment achieved this result in 91 days.

Annualized ROR Calculation

One way to compare investments is to compute RORs for the exact same period. In the example, this was April 1 through June 30. Sometimes this isn’t feasible, but by annualizing the ROR, you can compare investments on an equal basis regardless of holding period.

To calculate the annualized ROR for the example investment, start by adding 1 to the decimal ROR, giving you 1.1732. Raise this value by an exponent of 365 days divided by the investment period and then subtract 1 from the result. In this case, the annualized ROR is ((1.1732 ^ (365/91) – 1), which is 0.8978, or 89.78 percent.

This isn’t a guarantee that you will earn this return if you hold the investment for a year. It merely puts different investments on an equal time basis.

Assessing an Investment's Risk

While the ROR is a useful tool to compare how efficiently your investment is performing, it does not give you any idea about the riskiness of the investment. You can factor in risk with several ratios, such as the Sharpe ratio. This ratio subtracts the risk-free rate (usually the short-term interest rate on U.S. Treasury debt) from the ROR and divides it by standard deviation for the period, which is a measure of the investment’s riskiness.

Assuming the standard deviation for XYZ stock for the investment period was 8 percent, and the average risk-free rate was 2 percent, the Sharpe ratio is (17.32% -2%) / 8%, or 1.915. You can compare this with the Sharpe ratio of other investments, bearing in mind that the higher the Sharpe ratio, the better the investment on a risk-adjusted basis.

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