Time-Weighted Return vs. Money-Weighted Return: Why TWR and MWR (IRR) Tell Different Stories

Direct Answer

Time-weighted return (TWR) measures how a strategy performed by removing the effect of when money was added or withdrawn. Money-weighted return (MWR), the same calculation as internal rate of return (IRR), measures what an investor's own dollars actually earned, which depends heavily on the size and timing of their deposits and withdrawals. On the same account over the same period, the two numbers can differ by a wide margin — sometimes even carrying opposite signs.

Neither figure is more "correct" than the other. They are correct answers to different questions, and the practical skill is knowing which question is actually being asked before reaching for either formula.

Key Takeaways

• TWR breaks a period into sub-periods at every cash flow, calculates each sub-period's return, then geometrically links the results together.
• MWR is the internal rate of return — the single discount rate that makes the net present value of every cash flow, plus the ending balance, equal zero.
• TWR isolates strategy performance from investor behavior; MWR captures the investor's own dollar experience, timing included.
• A large deposit or withdrawal placed right before a strong or weak stretch can pull MWR far away from TWR, in either direction.
• GIPS-compliant and other institutional performance reporting standardizes on TWR precisely because managers rarely control client cash-flow timing.
• CAGR is a close cousin of TWR but assumes no interim cash flows at all — it is not built to handle deposits or withdrawals mid-period.

What Time-Weighted Return Measures

TWR isolates how the strategy performed, independent of investor cash-flow timing.

Time-weighted return is built around a simple idea: split the measurement period into sub-periods every time money enters or leaves the account, calculate the return earned within each sub-period on its own, and then geometrically link those sub-period returns together by multiplying their growth factors. The formula for linking n sub-periods is:

TWR = [(1 + r₁) × (1 + r₂) × ... × (1 + rₙ)] − 1

Because each sub-period return is calculated on the balance that existed at the start of that sub-period, a deposit or withdrawal never gets to "steal" credit or blame for a return it wasn't actually exposed to. A $50,000 deposit that arrives the day before a strategy loses 10% is fully counted in that sub-period's -10% figure, but it has no effect on the sub-period that came before it. TWR's entire purpose is to answer one question cleanly: how did the strategy itself perform, set apart from any investor's decision about when to add or remove capital.

Practical checklist

• Mark a new sub-period boundary at every deposit or withdrawal, not just at month- or quarter-end.
• Calculate each sub-period's return using the balance immediately before that sub-period's cash flow.
• Multiply the sub-period growth factors together, then subtract 1 to get the linked TWR for the full period.
• Use TWR whenever the goal is judging a strategy, manager, or system on its own merits.
• Never present TWR as an estimate of what a specific investor's account actually gained or lost in dollars.

Common mistake: treating a strategy's published TWR as a promise or prediction of what a new investor's account will earn. TWR describes the strategy's linked sub-period performance; it says nothing about what happens to a specific account's dollars once real-world deposits and withdrawals with their own timing are layered on top.

What Money-Weighted Return (IRR) Measures

MWR solves for the single rate that makes every cash flow's net present value equal zero.

Money-weighted return treats an account exactly like a bond or a project in a discounted-cash-flow analysis: every deposit is an outflow from the investor's pocket into the account, every withdrawal is an inflow back to the investor, and the account's ending balance is treated as one final inflow, as if everything were liquidated on the measurement date. MWR is the discount rate r that makes the sum of all those cash flows, discounted back to time zero, equal exactly zero:

0 = CF₀ + CF₁⁄(1+r)¹ + CF₂⁄(1+r)² + ... + CFₙ⁄(1+r)ⁿ

This is precisely the internal rate of return calculation used across corporate finance, which is why the two terms are used interchangeably in performance measurement. Because the calculation weights every dollar by how much time it spent invested and what happened during that specific window, an investor who deposits a large sum right before a loss will see that loss dominate their MWR — even if the same strategy, measured with TWR, posted a solid linked return over the identical stretch.

Practical checklist

• List every cash flow with its exact date: each deposit, each withdrawal, and the ending balance as a final inflow.
• Solve for the rate that zeroes out the net present value of that full cash-flow schedule — spreadsheet IRR/XIRR functions do this iteratively.
• Use MWR whenever the goal is understanding what a specific investor's own money actually earned.
• Recalculate MWR whenever a new deposit or withdrawal occurs; it is not a fixed, backward-looking figure like a closed-period TWR.
• Do not present MWR as a measure of strategy skill on its own — it reflects the investor's timing as much as the strategy's performance.

Common mistake: assuming a poor MWR means the strategy performed badly. A poor MWR can just as easily mean a well-performing strategy received a large deposit at an unlucky moment — the number reflects the blend of strategy performance and cash-flow timing, not strategy performance alone.

Worked Numeric Example: Watching TWR and MWR Diverge

A single two-month example shows how far apart the two figures can land on identical underlying data.

Setup

• An investor deposits $10,000 at the start of month 1.
• Month 1: the strategy returns +20%. The account grows from $10,000 to $12,000.
• Immediately after month 1 closes, the investor adds a large $50,000 deposit, bringing the balance to $62,000 entering month 2.
• Month 2: the strategy returns −10%. The combined $62,000 balance falls to $55,800.

Time-weighted return

TWR links the two sub-period returns exactly as they occurred, regardless of how much money was in the account for each one:

TWR = (1 + 0.20) × (1 − 0.10) − 1
    = 1.20 × 0.90 − 1
    = 1.08 − 1
    = 0.08 = 8.00%

The strategy's linked performance across the two months was a clean +8%. This is true whether the investor held $10,000 the whole time, added $50,000 mid-way, or never existed at all — TWR describes the strategy's path, not the investor's.

Money-weighted return

MWR treats this as an IRR problem with three cash flows: a $10,000 outflow at the start, a $50,000 outflow at the one-month mark, and the $55,800 ending balance treated as a final inflow at the two-month mark. Solving for the periodic rate r that zeroes out the net present value of that schedule —

0 = −10,000 − 50,000⁄(1+r) + 55,800⁄(1+r)²

— gives a monthly internal rate of return of roughly −6.0%, which compounds to a cumulative two-month money-weighted return of approximately −11.7%. Solved with a financial calculator or a spreadsheet's IRR or XIRR function (the practical way this is done outside a textbook), the same input data that produced a +8% TWR produces a money-weighted return that is not just lower — it is negative.

Why the gap is so large

Break the $55,800 ending balance down by which dollars produced it. The original $10,000 was exposed to both months: it grew to $12,000 after month 1, then fell 10% to $10,800 after month 2 — a net +8% on that slice, exactly matching TWR, because that $10,000 experienced the full linked path. The $50,000 deposit, five times larger than the original balance, was only ever exposed to month 2: it fell straight from $50,000 to $45,000, a full −10% with no offsetting gain to soften it. Because the much larger sum only participated in the losing month, it dominates the dollar-weighted outcome, dragging the blended, time-value-weighted MWR well below zero even though the strategy's own linked TWR stayed solidly positive. The deposit's size and its unlucky timing — not the strategy's underlying skill — are what produced the negative MWR.

Why Cash-Flow Timing Drives the Divergence

The gap between TWR and MWR grows with the size of cash flows relative to the account and shrinks toward zero as they get smaller.

An account with no interim cash flows at all — a single lump sum deposited once and left untouched — will show identical TWR and MWR over the same period, because there is no cash-flow timing for MWR to weight differently. The divergence only appears once money moves in or out mid-period, and it grows in proportion to two things: how large that cash flow is relative to the existing balance, and how close the strategy's return right after the cash flow is to the strategy's return before it. A modest deposit added just before a period that performs about the same as the rest of the year barely moves MWR away from TWR. A deposit that is several times the existing balance, placed immediately before a sharply different period — as in the worked example above — can move MWR dramatically, in either direction, because it is effectively re-weighting how much each sub-period counts toward the blended dollar outcome.

This is also why MWR is not a stable, backward-looking number the way a closed-period TWR is. Every new deposit or withdrawal changes the cash-flow schedule and therefore changes the MWR calculation retroactively for the whole period being measured, while TWR for the periods before that cash flow never needs to be recalculated once they close.

When to Use Which

Match the metric to the question: strategy evaluation calls for TWR, personal dollar outcomes call for MWR.

Time-weighted return is the standard for evaluating a strategy, fund, or manager's skill because it removes a variable the manager typically does not control: when clients choose to add or remove capital. This is why GIPS-compliant performance presentations and most institutional fact sheets are built on TWR — it lets one manager's track record be compared fairly against another's, and lets the same manager's performance be compared fairly across different clients who funded their accounts on different schedules. A manager who happened to receive a large client deposit right before a drawdown should not be penalized in a comparison against a manager who did not, and TWR prevents that distortion.

Money-weighted return is the right number when the question is personal: what did my money actually earn, given exactly when I put it in and took it out. An individual investor evaluating their own account performance, deciding whether a strategy was worth what they personally paid in opportunity cost, or reconciling why their statement doesn't match a fund's advertised return should reach for MWR, because it is built to reflect their specific contribution history rather than an idealized, cash-flow-neutral version of the strategy.

CAGR: related, but built for a narrower case

Compound annual growth rate is often confused with TWR because both describe compounded performance over time, but CAGR makes a stricter assumption: a single sum invested once at the start and left completely untouched until the end, with no deposits or withdrawals anywhere in between. TWR is explicitly designed to handle the case CAGR cannot — a period broken up by multiple cash flows — by linking sub-period returns around each one. When an account genuinely has no interim cash flows, TWR and CAGR converge on the same number over the same period; once a single deposit or withdrawal enters the picture, CAGR stops being a valid way to describe that account's performance and TWR becomes the appropriate tool. See CAGR for the full mechanics of that calculation and where it breaks down.

Pairing TWR with rolling windows

A single linked TWR figure for one long period can still hide a lot: a strategy that earned most of its return in one unusually strong stretch looks the same, on a single headline TWR, as one that produced steadier performance throughout. Reviewing rolling returns alongside TWR — recalculating the time-weighted return over a moving window rather than a single fixed period — shows whether a strategy's performance was consistent or concentrated, which a single TWR number by itself cannot reveal.

TWR vs. MWR at a Glance

Common Mistakes When Comparing Returns

Most confusion between TWR and MWR comes from comparing across methods rather than within one.

• Comparing a strategy's advertised TWR-based return to an individual account's actual dollar experience. A fund's marketing material almost always quotes TWR, since that is the standard for comparing strategies. An investor whose account underperformed that headline number is not necessarily looking at a broken strategy or a misleading fund — their own deposit and withdrawal timing may simply have produced a different, entirely valid MWR on the same underlying strategy.
• Not disclosing which method a quoted return uses. A return figure presented without stating whether it is time-weighted or money-weighted leaves the reader unable to judge what it actually measures. The same underlying account can produce two legitimately different numbers depending on which method calculated them, so the method itself is not optional context — it changes what the number means.
• Using MWR to judge a manager's skill when the manager did not control the cash-flow timing. If an investor unilaterally added or withdrew a large sum, the resulting MWR reflects that investor's decision as much as the manager's performance, and holding the manager responsible for it misattributes the cause.
• Assuming a single average annual figure captures everything. Whether using TWR or MWR, a single headline number for a multi-year period can obscure a return path that was front-loaded, back-loaded, or highly uneven — checking the sub-period or year-by-year breakdown behind either figure catches this.

Misconceptions Versus Reality

Risks, Limitations, and Exceptions

• MWR can have more than one mathematically valid solution when a cash-flow schedule includes multiple sign changes; in practice, most account histories still produce a single economically sensible rate.
• TWR requires an accurate valuation at the moment of every single cash flow, which is straightforward for daily-priced accounts but harder for illiquid or infrequently priced holdings.
• Neither TWR nor MWR accounts for fees, taxes, or transaction costs unless those are explicitly built into the cash-flow and balance data used in the calculation.
• A short measurement period with very few sub-periods or cash flows can make either figure unstable and unrepresentative of longer-run performance.
• MWR calculated over a period with a single dominant cash flow mostly reflects the return around that one event, not the strategy's typical behavior across varied conditions.
• Approximation methods such as the Modified Dietz method estimate MWR without solving the full IRR equation and can diverge from a true IRR when cash flows are large or unevenly spaced.
• Neither metric distinguishes skill from luck; a strong TWR over a short window does not confirm the strategy will repeat that performance going forward.

Practical Implementation Checklist

1. Decide which question is being asked: strategy evaluation calls for TWR, personal dollar outcome calls for MWR.
2. Record every deposit, withdrawal, and valuation date with an accurate account balance at each one.
3. To calculate TWR, break the period into sub-periods at each cash flow, compute each sub-period's return, then link the growth factors together.
4. To calculate MWR, list all cash flows including the ending balance as a final inflow, then solve for the IRR using a spreadsheet's IRR or XIRR function.
5. State explicitly which method produced any return figure before sharing or comparing it.
6. When comparing your own results to a fund's advertised return, confirm the fund's figure is TWR before assuming it should match your MWR.
7. Recalculate MWR after every new deposit or withdrawal, since it is not a stable, closed-period figure the way TWR is.
8. Pair a single headline TWR with a rolling-return view when consistency, not just the total linked figure, matters to the decision.

Tool Opportunity

A dedicated Swoopr tool should compute both TWR and MWR side by side from the same cash-flow history and flag when they diverge meaningfully.

Recommended inputs: a dated list of every deposit and withdrawal, account valuations at each cash-flow date, the current ending balance, and the measurement period's start and end dates.

Expected outputs: the linked time-weighted return for the full period, the money-weighted return solved as an IRR over the same cash-flow schedule, a sub-period breakdown showing each linked return, and a plain-language flag explaining the size of any gap between the two figures.

Validation requirements: reject cash-flow schedules with impossible or missing valuation dates, warn when a cash flow is large enough relative to the account to make the two figures diverge sharply, clearly label which figure is which in any output, and never imply that either return guarantees future performance.

Frequently Asked Questions

Conclusion

TWR and MWR are not competing measures of the same thing — they are correct answers to two different questions, and a return figure quoted without saying which one produced it cannot be trusted at face value.

Use this page as part of the larger Swoopr learning architecture. Move to the parent hub when broader orientation on portfolio performance metrics is needed, and to a supporting guide such as CAGR or rolling returns when a specific calculation or comparison is required.

Related Reading

• Portfolio performance metrics hub — the parent guide this page belongs to.
• CAGR (compound annual growth rate) — a related but distinct calculation that assumes a single lump sum with no interim cash flows.
• Rolling returns — recalculating TWR over a moving window to see whether performance was consistent or concentrated.
• Portfolio risk: correlation, concentration, drawdowns, and portfolio heat — the broader risk framework this performance metric sits alongside.

Sources and Methodology

The formulas, GIPS context, and worked example on this page reflect standard, widely used performance-measurement conventions. Key sources include:

• CFA Institute — Global Investment Performance Standards (GIPS) (gipsstandards.org): The GIPS standards require asset managers to calculate and present time-weighted total returns for composite performance, precisely to remove the distorting effect of client-directed cash flows described on this page.
• CFA Institute — quantitative investment analysis curriculum readings on time-weighted and money-weighted rate of return (cfainstitute.org): CFA Program materials formally define both calculations, including the internal-rate-of-return derivation of money-weighted return used in the worked example above.
• Investopedia — "Time-Weighted Rate of Return (TWR)" and "Internal Rate of Return (IRR)" (investopedia.com): Widely referenced explanations of each calculation, their formulas, and how cash-flow timing affects money-weighted results.

All figures in the worked example on this page are illustrative calculations based on the stated hypothetical inputs, not historical performance data for any specific security, fund, or strategy.

This content was reviewed by the Swoopr Markets Education Team in August 2026.