Investing & Returns · Formula v1.0

Money-Weighted Return Calculator

Estimate the return implied by timed cash flows.

Account for the size and timing of investor cash flows. Enter initial cash flow in dollars, year 1 inflow in dollars, year 2 inflow in dollars, year 3 inflow in dollars and year 4 inflow in dollars. At the worked-example inputs, the estimated IRR is 19.7%. A money-weighted return reflects both the performance of the investments and the timing of your own deposits and withdrawals. If you added more money before a rally, your figure will exceed the fund's; if you added before a drop, it will fall short. That makes it the right measure of your personal experience, and the wrong one for judging a manager who did not control the flows. It returns estimated IRR, total net cash flow.

FreeNo sign-upInputs stay in-browserCSV exportReviewed August 17, 2026
LAST REVIEWEDAugust 17, 2026Inputs stay in your browser
Live calculation

Enter your numbers

Calculated result
Estimated IRR19.7%
Total net cash flow$7,500
Sensitivity check

What if initial cash flow changes?

-10% input24.1%
0% input19.7%
+10% input15.9%

Transparent method

The formula

IRR solves 0 = CF₀ + CF₁/(1+r) + … + CF₅/(1+r)⁵

Worked example

Estimated IRR19.7%
Total net cash flow$7,500

Example inputs

Initial cash flow$10,000
Year 1 inflow$2,500
Year 2 inflow$3,000
Year 3 inflow$3,500
Year 4 inflow$4,000
Year 5 inflow$4,500

How to interpret the result

Money-weighted return accounts for the actual size and timing of an investor's own deposits and withdrawals, which is a genuinely different question than the fund's own time-weighted performance. An investor who added a large sum right before a downturn sees a worse money-weighted return than the fund's published performance figure, through no fault of the fund itself.

Before you rely on it

What to check

Confirm whether a return figure you're comparing against is money-weighted, reflecting your own contribution timing, or time-weighted, reflecting the fund's performance alone, since the two answer different questions.

The common error

Where people go wrong with money-weighted return calculator

Comparing your own money-weighted return directly against a fund's published time-weighted performance figure as if they measured the same thing. Contribution timing can make the two diverge meaningfully even when the underlying fund performed exactly as advertised.

Sensitivity evidence

How initial cash flow changes the estimated IRR

Money-Weighted Return Calculator: estimated IRR and total net cash flow across a range of initial cash flow, every other input held at the worked-example value.
Initial cash flowEstimated IRRTotal net cash flow
$8,00029.4%$9,500
$9,00024.1%$8,500
$10,000worked example19.7%$7,500
$11,00015.9%$6,500
$12,00012.6%$5,500

Every input, tested

Which input moves the estimated IRR most

Money-Weighted Return Calculator: estimated IRR with each input moved on its own, every other input held at the worked-example value.
InputTested fromToEstimated IRR at each endSwing
Initial cash flow$9,000$11,00024.1% to 15.9%8.2% (42%)
Year 2 inflow$2,700$3,30018.9% to 20.6%1.7% (8.7%)
Year 1 inflow$2,250$2,75018.9% to 20.6%1.7% (8.6%)
Year 3 inflow$3,150$3,85018.9% to 20.5%1.7% (8.4%)
Year 4 inflow$3,600$4,40018.9% to 20.5%1.6% (8.1%)
Year 5 inflow$4,050$4,95019.0% to 20.4%1.5% (7.6%)

Two variables at once

Estimated IRR by initial cash flow and year 1 inflow

Money-Weighted Return Calculator: estimated IRR at each combination of initial cash flow (rows) and year 1 inflow (columns).
Initial cash flow \ Year 1 inflow$2,000$2,500$3,000
$8,00027.2%29.4%31.7%
$9,00022.2%24.1%26.1%
$10,00018.0%19.7%21.4%
$11,00014.4%15.9%17.5%
$12,00011.3%12.6%14.0%

Step by step

The worked example, input by input

Worked-example inputs and the results they produce for the money-weighted return calculator.
InputValue used
Initial cash flow$10,000
Year 1 inflow$2,500
Year 2 inflow$3,000
Year 3 inflow$3,500
Year 4 inflow$4,000
Year 5 inflow$4,500
Estimated IRR19.7%
Total net cash flow$7,500

Where the inputs come from

Enter the initial deposit as the first cash flow and each later year's net cash flow after it. In investing language, contributions are outflows from your pocket and withdrawals or the final balance are inflows. The tool follows the same structure as the IRR calculator, so build the yearly list from your statements, ending with the current value as the last inflow. Uneven timing within a year is ignored.

When the result stops applying

Because it depends on when you invest, two people in the same fund can have different money-weighted returns. It cannot separate skill from timing. The approximation here uses year-end flows, so contributions made throughout the year are simplified. For irregular dates, use XIRR for a more precise result.

What to compare it with

Compare with the time-weighted return to see how much your timing helped or hurt, and with the investment return calculator for a simple percentage. The XIRR calculator handles actual dates. If you routinely add money after markets have risen, dollar-cost averaging plans spread the timing risk more evenly.

People also ask

Frequently asked questions

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

Money-weighted return includes the effect of when you added or removed money, while time-weighted return removes it to isolate the investment's performance.

Which should I use to judge my own results?

Use money-weighted return for your own experience and time-weighted return when comparing a fund or manager with a benchmark.

Is money-weighted return the same as IRR?

Yes. It is the internal rate of return on your cash flows, so this page shares its calculation with the IRR calculator.

Common investing & returns questions

Sources and evidence