Money Weighted Return Calculator

An essential tool for any serious investor, our money weighted return calculator helps you understand the true performance of your investments by accounting for the timing and size of your cash flows.

Calculate Your Money Weighted Return

What is a Money Weighted Return?

The money weighted return (MWRR) is a measure of investment performance that takes into account the timing and size of cash flows. It is equivalent to the internal rate of return (IRR) on an investment portfolio. Unlike the time-weighted return, the money weighted return is influenced by the decisions of the investor to add or withdraw funds from the portfolio. This makes the money weighted return a personalized measure of an investor’s actual return experience. For this reason, many investors prefer to use a money weighted return calculator to get a clear picture of their portfolio’s performance.

Money Weighted Return Formula and Mathematical Explanation

The money weighted return is the discount rate ‘r’ that equates the present value of all cash inflows to the present value of all cash outflows. The formula is:

0 = CF₀ + CF₁/(1+r)¹ + CF₂/(1+r)² + … + CFₙ/(1+r)ⁿ

Where:

• CF₀ is the initial investment (a negative value).
• CF₁, CF₂, … are the cash flows in subsequent periods (positive for inflows, negative for outflows).
• n is the number of periods.
• r is the money weighted return.

Because of the complexity of this formula, the money weighted return is usually calculated using a financial calculator or spreadsheet software. Our money weighted return calculator automates this process for you.

Practical Examples

Example 1: Regular Contributions

An investor starts with an initial investment of $10,000. They contribute an additional $1,000 at the end of each year for 5 years. At the end of the 5 years, the portfolio is worth $20,000. A money weighted return calculator would be used to find the annualized rate of return that accounts for these regular contributions.

Example 2: Irregular Cash Flows

An investor begins with $50,000. After two years, they withdraw $10,000. A year later, they add $20,000. After a total of 6 years, the investment is worth $80,000. Due to the irregular timing and amounts of the cash flows, calculating the money weighted return is essential to accurately gauge performance.

How to Use This Money Weighted Return Calculator

Using our money weighted return calculator is straightforward. Follow these steps:

1. Enter the initial value of your investment.
2. Enter the final value of your investment.
3. Enter the total investment period in years.
4. Add each cash flow, specifying the amount and the year it occurred. Use a positive value for inflows (e.g., dividends, additional contributions) and a negative value for outflows (e.g., withdrawals).
5. Click “Calculate” to see your annualized money weighted return.

The calculator provides not just the primary money weighted return but also intermediate values to give a complete financial picture.

Key Factors That Affect Money Weighted Return Results

Several factors can influence your money weighted return, making a reliable money weighted return calculator an invaluable tool.

• Timing of Cash Flows: Adding a large sum right before a market upturn will boost your money weighted return. Conversely, withdrawing funds just before a rally can lower it.
• Size of Cash Flows: Large contributions or withdrawals have a more significant impact on the money weighted return than smaller ones.
• Investment Performance: The underlying performance of the assets in the portfolio is a fundamental driver of the money weighted return.
• Investment Horizon: The length of time you are invested can smooth out volatility and affect your overall return.
• Fees and Expenses: Management fees, trading costs, and other expenses reduce your net returns and, consequently, your money weighted return.
• Reinvestment of Dividends and Interest: Reinvesting earnings from your investments is treated as an additional cash inflow and can significantly enhance your money weighted return over time.

Frequently Asked Questions (FAQ)

What is the difference between money weighted return and time weighted return?

The money weighted return is affected by the investor’s cash flow decisions, while the time weighted return is not. A time weighted return is better for comparing the performance of investment managers, whereas the money weighted return is better for assessing an individual’s personal investment performance. Our money weighted return calculator focuses on the latter.

Why is my money weighted return different from my simple return?

A simple return calculation (Ending Value – Beginning Value) / Beginning Value does not account for any cash flows in or out of the portfolio. The money weighted return provides a more accurate performance measure when there have been contributions or withdrawals.

Is a higher money weighted return always better?

A higher money weighted return generally indicates better performance. However, it’s important to consider the level of risk taken to achieve that return. A high return achieved by taking excessive risk may not be sustainable.

Can the money weighted return be negative?

Yes, if the total value of your withdrawals and the final value of your portfolio is less than your total contributions, your money weighted return will be negative. This is a scenario where a money weighted return calculator can provide a clear-eyed view of performance.

How often should I calculate my money weighted return?

It’s a good practice to calculate your money weighted return annually to track your investment performance over time. However, you can use our money weighted return calculator more frequently if you have significant cash flow activity.

What is a good money weighted return?

A “good” money weighted return is relative and depends on your financial goals, risk tolerance, and the performance of relevant market benchmarks. Comparing your money weighted return to a benchmark index with a similar risk profile can provide context.

Does inflation affect the money weighted return?

The money weighted return is a nominal rate of return, meaning it does not account for inflation. To understand your real return, you would need to subtract the inflation rate from your money weighted return.

Can I use this calculator for my retirement accounts?

Yes, the money weighted return calculator is an excellent tool for tracking the performance of retirement accounts like a 401(k) or an IRA, where regular contributions and occasional rollovers or withdrawals are common.