Time-Weighted Return vs. Money-Weighted Return: Which Measure Fits?
Understand time-weighted return vs money-weighted return, how deposits and withdrawals change the result, and why a historical portfolio replay uses a narrower calculation.
If you are searching for time-weighted return vs money-weighted return, the short answer is this: time-weighted return focuses on how an investment path performed without letting the timing of outside cash flows change the result, while money-weighted return includes the size and timing of deposits and withdrawals. Neither measure is always “better.” Each answers a different question.
That distinction matters when you compare a broker statement with a historical chart. A portfolio can have a positive investment path but a disappointing personal result if most of the money arrived before a decline. The reverse can happen too. Before comparing two percentages, find out which return method produced them.
What is the difference between time-weighted and money-weighted return?
Time-weighted return (TWR) breaks a measurement period into subperiods around external cash flows, calculates the return for each subperiod, and links those returns together. It is designed to show the performance of the invested assets without giving a large deposit or withdrawal extra influence.
Money-weighted return (MWR) treats deposits and withdrawals as dated cash flows and finds the rate that connects those cash flows to the ending value. In practice, MWR is commonly associated with the internal rate of return (IRR); with irregular dates, an account may use an XIRR-style calculation.
The CFA Institute describes TWR and IRR as measures that can diverge, sometimes substantially, because IRR weights investment results by cash-flow inputs and outputs. Its summary of the difference between TWR and money-weighted return is a useful technical reference.
Here is the practical translation:
| Question | Usually useful measure |
|---|---|
| How did the investment or manager perform independent of my deposits? | Time-weighted return |
| What return did my actual account experience, given when I added or removed money? | Money-weighted return / IRR |
| How did two historical price paths move from the same starting date? | A normalized historical comparison |
A simple TWR vs. MWR example
Imagine two equal-length periods. You start with $10,000. During the first period, the investment rises 20%, taking the account to $12,000. At the boundary, you add $20,000. The combined $32,000 then falls 10%, ending at $28,800.
The time-weighted calculation gives each period its own influence:
(1 + 20%) × (1 - 10%) - 1 = 8%
The path gained 8% when the two period returns are linked. The size of the deposit does not change that answer.
The money-weighted calculation sees a different experience. It considers the cash flows of -$10,000 at the start, -$20,000 when the second period begins, and +$28,800 at the end. If the two periods represent equal one-year intervals, the corresponding per-year IRR is approximately -3.0%. Most of the money arrived before the losing period, so the personal cash-flow-weighted result is negative even though the linked investment path is positive.
This is not a contradiction. TWR asks how the path performed. MWR asks how the timing and amount of your money interacted with that path.
When should you use TWR?
Use time-weighted return when the main goal is to compare investment management or investment paths without letting client-controlled cash flows distort the comparison. It is useful when:
- comparing a manager with a benchmark;
- comparing two strategies over the same dates;
- reviewing an investment option before considering your own contribution schedule;
- separating market movement from the effect of adding or removing capital.
TWR is not a score that makes a strategy suitable for every investor. It simply removes one source of variation—external cash-flow timing—so the investment path can be compared more consistently.
The CFA Institute’s current Rates and Returns refresher reading covers how time-weighted and money-weighted rates are compared and interpreted. Professional performance reporting can also have its own standards and presentation rules; for example, the GIPS standards for asset owners discuss when time-weighted and money-weighted returns may be presented.
When should you use MWR, IRR, or XIRR?
Use a money-weighted measure when you want to understand the result of your actual account activity. It is especially relevant when you control when and how much money enters or leaves the account.
That can include:
- a large contribution made before a market drop;
- regular contributions made through changing market conditions;
- a withdrawal during a strong or weak period;
- a private investment with irregular capital calls and distributions;
- a personal account review where ending wealth matters more than manager comparison.
If your cash flows occur on specific calendar dates, an XIRR-style calculation may be more appropriate than a simple periodic IRR because it uses the actual spacing between dates. The name of the function matters less than the underlying inputs: opening value, dated contributions, dated withdrawals, and ending value.
Do not use MWR as a shortcut for judging a manager when the manager did not control the account’s deposits and withdrawals. A manager may appear to have a poor money-weighted result simply because a client added a large amount before a decline. Conversely, a favorable MWR may reflect a well-timed contribution rather than a superior investment process.
How Equity Replay’s historical calculation differs
Equity Replay is narrower by design. It answers: If this allocation had been set at the start of a selected historical window, how would the mix have moved across the available closing prices?
For a portfolio replay, the app:
- takes the selected symbols and percentage weights;
- applies those weights once at the beginning of the window;
- aligns the available close-price histories;
- rebases the series so their starting point is comparable;
- combines the weighted paths; and
- translates the result into an illustrative starting amount such as $10,000.
There are no user deposits, withdrawals, execution records, taxes, fees, dividend reinvestments, forecasts, or interim trades in that calculation. The allocation is not reset during the window. It is a transparent historical price-path replay, not a formal performance statement and not a TWR or MWR calculation for a real account.
Read how Equity Replay calculates a historical portfolio replay for the full methodology. The result is educational and illustrative; it is not investment advice, a brokerage balance, a record of trades, or a recommendation to buy, hold, or rebalance anything.
Why a $10,000 replay is not your account return
An illustrative starting value is a translation layer. If a historical path changes by 25%, a $10,000 replay becomes $12,500; a $2,000 replay of the same path becomes $2,500. The starting amount changes the dollar display, not the percentage path.
It also does not tell you how many shares were purchased, when money was added, or what happened to dividends and fees. A $10,000 replay and a broker’s money-weighted return can therefore look different even when they refer to a similar group of stocks. They are using different questions and, often, different data.
For more context, read how to compare portfolio performance over time and how to benchmark a stock portfolio. When comparing two individual securities, you can also compare stocks side by side with the same window and illustrative amount.
A practical way to read a return percentage
Before drawing a conclusion from any percentage, ask:
- What are the cash flows? If deposits and withdrawals are present, find out whether the result is TWR, MWR, IRR, or XIRR.
- Who controlled the timing? A manager comparison and a personal account review may require different measures.
- What does the price series include? Close prices, adjusted prices, and total-return series are not interchangeable.
- Are the dates aligned? Use the same start, end, currency, and data-through date when comparing paths.
- What is excluded? Check for dividends, fees, taxes, trading costs, and missing history.
- Is the result backward-looking? A historical result describes a past window; it does not predict the next one.
The most common mistake is asking one measure to answer both the investment-path question and the personal-cash-flow question. Label the measure first, then interpret the number.
The short version
Time-weighted return is usually the cleaner choice for comparing investment paths independent of outside cash-flow timing. Money-weighted return, including IRR or XIRR variants, is usually more relevant to the result experienced by an account with dated contributions and withdrawals.
Equity Replay sits alongside those measures as a simpler educational tool: it shows how a chosen allocation would have moved from one historical starting point using close-price data and one-time weights. Use it to inspect assumptions and compare historical paths—not to recreate an account statement or make a financial decision.
About our educational content
Published by Equity Replay, an educational historical portfolio simulator operated by Quadri LLC. We use AI-assisted drafting. No independent financial, legal, or tax expert review is claimed.
Check the linked sources, article dates, and stated assumptions before relying on a number. Historical simulations are not forecasts, records of trades, or personal investment advice. Rules and market data can change after publication.
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