Money Weighted Rate of Return Calculator
This calculator determines your personalized portfolio return (MWRR), which is equivalent to the Internal Rate of Return (IRR), by considering the timing and size of your deposits and withdrawals.
The starting market value of your portfolio.
The date of the initial investment.
The market value of your portfolio at the end date.
The date for the final portfolio valuation.
Cash Flows (Deposits & Withdrawals)
| Date | Amount ($) | Action |
|---|
$0
$0
$0
Cash Flow Timeline
What is a Money Weighted Rate of Return Calculator?
A money weighted rate of return calculator is a financial tool designed to compute your personal investment performance. Unlike other metrics that only look at the fund’s performance, the money-weighted rate of return (MWRR) incorporates the size and timing of your cash flows—that is, your deposits and withdrawals. This calculation gives you a true, personalized rate of return that reflects how your investment decisions have impacted your portfolio’s growth. The MWRR is equivalent to the Internal Rate of Return (IRR), a standard metric in corporate finance for assessing the profitability of investments.
This calculator is essential for any investor who regularly adds or removes money from their portfolio. It answers the critical question: “Based on my specific contributions and withdrawals, what has my actual return been?” A high MWRR could indicate that you’ve timed your deposits well (investing before periods of growth), while a low MWRR might suggest the opposite. For a different perspective on performance, you might consider using a Time-Weighted Rate of Return Calculator.
The MWRR Formula and Explanation
The money weighted rate of return is the discount rate (r) that sets the net present value (NPV) of all cash flows, including the initial and final values, to zero. It’s a “money-weighted” average, meaning periods where more money is invested have a greater impact on the overall return.
Because there is no direct way to solve for ‘r’, this money weighted rate of return calculator uses an iterative numerical method (the Newton-Raphson method) to find the rate that satisfies the equation.
Variable Explanations
| Variable | Meaning | Unit / Type | Typical Range |
|---|---|---|---|
| CF₀ | Initial Investment (an outflow, so it’s negative) | Currency ($) | Negative Value |
| CF₁, CF₂… | Intermediate Cash Flows (Deposits are negative, Withdrawals are positive) | Currency ($) | Positive or Negative |
| CFₙ | Final Portfolio Value (an inflow, so it’s positive) | Currency ($) | Positive Value |
| r | The Money Weighted Rate of Return (the unknown to solve for) | Percentage (%) | -100% to +∞ |
| t₁, t₂…tₙ | Time periods from the start date, measured in years | Years | 0 to End Date |
Practical Examples
Example 1: Positive Impact of Timing
An investor starts with $50,000. Right before a market rally, they deposit an additional $20,000. The portfolio grows significantly, and they end with $85,000 after one year. Because the large deposit benefited from the strong growth, the MWRR will be high.
- Inputs: Initial Value: $50,000, Deposit: $20,000, Final Value: $85,000
- Units: Currency in USD, Time in Years
- Result: The resulting MWRR would be higher than the underlying asset’s return, reflecting the investor’s good timing. Tracking these contributions is a key part of using an Investment Portfolio Tracker.
Example 2: Negative Impact of Timing
Another investor starts with $100,000. The market is doing well, so they get nervous and withdraw $40,000. Shortly after, the market continues to climb steeply. Their final portfolio value is $75,000 after one year. By withdrawing funds before a growth period, they missed out on potential gains, which will be reflected in a lower MWRR.
- Inputs: Initial Value: $100,000, Withdrawal: $40,000, Final Value: $75,000
- Units: Currency in USD, Time in Years
- Result: The MWRR will be lower, showing that the timing of the withdrawal negatively impacted their personal return. Understanding the long-term impact of such decisions is crucial, which can be modeled with a CAGR Calculator.
How to Use This Money Weighted Rate of Return Calculator
Follow these steps to calculate your personalized portfolio return:
- Enter Initial Investment: Input the starting value of your portfolio and the date this valuation was taken.
- Enter Final Value: Input the final value of your portfolio and the corresponding end date.
- Add Cash Flows: Click the “+ Add Cash Flow” button for every deposit or withdrawal. Enter the date of the transaction and the amount. Crucially: enter deposits as positive numbers and withdrawals as negative numbers.
- Calculate and Analyze: The calculator automatically updates the Annualized MWRR. The result shows the effective annual rate your money has grown (or shrunk) based on your actions.
- Interpret Results: The primary result is your annualized MWRR. The intermediate values show your net profit, total deposits, and total withdrawals, helping you understand the components of your return. The chart provides a visual of when money moved in or out of your portfolio.
Key Factors That Affect MWRR
- Timing of Cash Flows: This is the most significant factor. A large deposit just before a period of high returns will boost your MWRR, while a withdrawal will lower it.
- Size of Cash Flows: Larger deposits or withdrawals have a greater mathematical weight in the calculation, amplifying the effect of their timing.
- Market Performance: The underlying performance of the investments is the foundation of the return. Strong market returns provide the growth that cash flows can then amplify or diminish.
- Investment Horizon: Over longer periods, the effects of compounding become more pronounced, and the timing of early cash flows becomes even more critical.
- Dividends and Interest: Reinvested dividends act like small, periodic deposits and are a positive cash flow factored into the return calculation.
- Fees and Expenses: Transaction fees or management fees act like small withdrawals and will slightly drag down the overall MWRR.
Frequently Asked Questions (FAQ)
MWRR is affected by the timing and size of your cash flows, making it a measure of *your* personal performance. Time-Weighted Rate of Return (TWRR) removes the effects of cash flows and measures the performance of the *investment fund or manager* itself. TWRR is better for comparing different managers, while MWRR is better for assessing your own financial journey.
Your fund advertises its TWRR. If you invested a large sum right before a market dip, your personal MWRR would be lower than the fund’s TWRR for that period, because more of your money was exposed to that loss. The opposite is also true.
In this calculator, enter deposits as positive numbers (e.g., 5000) and withdrawals as negative numbers (e.g., -2000). The calculation logic correctly treats them as cash inflows and outflows relative to your portfolio.
Yes, for all practical purposes, the Money-Weighted Rate of Return is calculated as the Internal Rate of Return (IRR) of the investment’s cash flows.
It means after all your deposits and withdrawals, you broke even. Your net profit is zero.
Absolutely. A negative MWRR indicates that you have lost money on your investment over the period, after accounting for all cash flows.
The dates are critical because MWRR is “money-weighted” and “time-weighted.” The formula needs to know how long each piece of capital was invested to properly calculate the return. A deposit made one month before the end date has much less impact than one made 10 years prior.
A “good” MWRR is relative. It should be compared to your financial goals and the benchmark return for your investment’s risk level. If your goal is an 8% annual return and your MWRR is 10%, you are doing well.