# The Money-Weighted Rate of Return

## The Money-Weighted Rate of Return

The money-weighted rate of return is a measure used to evaluate the performance of an investment portfolio. It takes into account the timing and size of cash flows, providing an accurate representation of the returns earned by an investor.

Unlike the time-weighted rate of return, which focuses on the performance of the underlying investments, the money-weighted rate of return considers the impact of cash flows, such as contributions or withdrawals, made by the investor during the investment period.

## Calculation of the Money-Weighted Rate of Return

To calculate the money-weighted rate of return, you need to consider the cash flows and the corresponding investment values at each point in time. The formula for calculating the money-weighted rate of return is as follows:

Money-Weighted Rate of Return = (Ending Value of Investments - Beginning Value of Investments + Cash Flows) / Beginning Value of Investments

Let's consider an example to illustrate the calculation:

Suppose you invest \$10,000 in a mutual fund at the beginning of the year. After six months, you decide to invest an additional \$5,000. At the end of the year, your investment has grown to \$18,000. To calculate the money-weighted rate of return, you would use the following formula:

Money-Weighted Rate of Return = (\$18,000 - \$10,000 + \$5,000) / \$10,000

Simplifying the equation, we get:

Money-Weighted Rate of Return = \$13,000 / \$10,000

Therefore, the money-weighted rate of return in this example is 1.3 or 130%.

## Advantages and Disadvantages of the Money-Weighted Rate of Return

The money-weighted rate of return provides a more accurate reflection of an investor's actual returns because it considers the impact of cash flows. This is especially useful when evaluating the performance of investment portfolios with frequent contributions or withdrawals.

However, the money-weighted rate of return can be influenced by the timing and size of cash flows. If an investor makes significant contributions during a period of high returns, the rate of return will be positively impacted. On the other hand, if an investor makes significant withdrawals during a period of low returns, the rate of return will be negatively impacted.

It's important to note that the money-weighted rate of return is specific to each individual investor and may differ from the time-weighted rate of return, which is commonly used by investment professionals to compare the performance of different investment options.