Money-Weighted vs. Time-Weighted Returns: What Each One Measures

A portfolio can report one return while its owner experiences another. That is not necessarily a calculation error. It often happens because time-weighted and money-weighted returns answer different questions about the same investment history.

Time-weighted return focuses on how the investments performed. Money-weighted return incorporates how much money was invested and when it entered or left the portfolio. Understanding that distinction helps prevent a common mistake: treating every return figure as if it measures the same thing.

Two returns, two different questions

A time-weighted return is closest to answering: How did the investment or manager perform over the period, apart from the investor’s deposits and withdrawals? Fund reports may present time-weighted returns as the results a lump-sum investor would have earned by investing at the beginning and reinvesting distributions throughout the period.

A money-weighted return asks: What constant rate of growth connects the money invested, the timing of subsequent cash flows and the ending value? A cash-flow-sensitive calculation similar to an internal rate of return can link beginning assets and periodic cash flows to the assets remaining at the end.

“Dollar-weighted return” is another term commonly used in this context for an investor return that reflects cash-flow amounts and timing.

Neither measure is automatically superior. The more useful figure depends on what is being evaluated.

How the mechanics create different results

Suppose a portfolio rises before a large contribution and falls afterward. A time-weighted calculation reflects the two investment periods without giving the larger post-contribution balance extra influence. A money-weighted calculation gives more weight to the period in which more dollars were exposed.

The reverse can also occur. If more money is invested before the stronger period, the money-weighted result may exceed the time-weighted result. The difference therefore does not, by itself, prove good or bad behavior. Even sensible purchases and sales can contribute to a gap between an investor’s return and a fund’s reported return.

This distinction becomes especially relevant when someone other than the investor controls when capital moves. For example, portfolios with capital-call structures may use money-weighted returns because the timing and size of cash flows are part of the results being measured. In that setting, removing cash-flow effects could leave out an important part of the manager’s role.

The role of compounding

Returns covering more than one year should not normally be interpreted by simply dividing the total percentage return by the number of years. A properly annualized figure incorporates compounding; a simple average can otherwise present an inflated result, as illustrated in annualized return calculations covering investments held for multiple years.

That matters for both measures. A time-weighted return compounds the investment periods. A money-weighted calculation finds a constant periodic rate that reconciles the dated cash flows with the ending balance.

A worked example

Consider an investment with two one-year periods:

• $100 is invested at the beginning.
• The portfolio gains 10% in year one, increasing to $110.
• Another $100 is contributed at the end of year one, bringing the balance to $210.
• The portfolio loses 10% in year two, leaving $189.

Why is the money-weighted return lower? More money was exposed during the losing year. The portfolio’s underlying two-year performance was only slightly negative, but the investor added a substantial amount immediately before the decline.

This example also resolves a frequent misunderstanding. The ending value of $189 compared with total contributions of $200 shows an $11 dollar loss, but simply dividing that loss by $200 does not produce a properly annualized return. The two contributions were invested for different lengths of time, which is precisely what the money-weighted calculation accounts for.

Choosing the measure that matches the question

Use the following decision framework when reading a performance statement:

• Evaluating an investment product or manager without investor-directed cash-flow effects: A time-weighted return is generally the cleaner comparison because deposits and withdrawals do not dominate the result.
• Understanding the return experienced by actual invested dollars: A money-weighted return is more informative because it incorporates when money was added or removed.
• Evaluating a manager who controls capital calls or distributions: Money-weighting may capture a meaningful part of the manager’s decisions that time-weighting omits.
• Comparing two reported figures: First verify that both use the same method, period and annualization convention. A money-weighted return should not be treated as directly interchangeable with a time-weighted return.

The benchmark must also fit the question. Performance comparisons are more informative when they involve other similar investments rather than assets that serve substantially different portfolio roles. Comparing a personal money-weighted return directly with an index’s time-weighted performance can reveal an experience gap, but it does not isolate the cause. Contributions, withdrawals, fees and differences between the portfolio and index may all matter.

What neither return tells you by itself

A return label is only the beginning of a useful evaluation. Several other details can change what the number means:

Fees and expenses. Investment costs reduce returns, so determine whether the presentation is before or after them. If fees and expenses are excluded from a calculation, the displayed result will not show their full effect on the investor’s outcome.

Distributions and other income. Check whether dividends or fund distributions are included and whether the calculation assumes reinvestment. A quoted price change is not necessarily the same as total investment return.

Taxes. A reported investment return may not reflect taxes paid on distributions or sales. It can therefore differ from the amount an investor ultimately keeps.

Measurement period. Results can change materially with the starting and ending dates. Performance limited to unusually favorable periods may be misleading; a useful presentation should cover reasonable periods containing different market conditions rather than selecting only the strongest results.

Risk and future results. Neither method measures every form of risk, and neither predicts what comes next. Investments can gain or lose value, while historical investment returns do not guarantee comparable future outcomes.

The practical rule is simple: use time-weighted return to examine the investment’s path and money-weighted return to examine the dollars’ experience. When they differ, look first at the timing and size of cash flows—not for an arithmetic mistake.

Sources

1. malvernfunds_final.htm — sec.gov
2. Investment Adviser Advertisements — sec.gov
3. Calculating Your Investment Returns | FINRA.org — finra.org
4. Investor Bulletin: Performance Claims | Investor.gov — investor.gov
5. Key Concepts: Return and Rate of Return | Syndication — syndication.finra.org