investment calculator

Average Return Calculator

The Average Return Calculator estimates annualized return in two modes. Cash-flow mode solves a money-weighted average annual return from starting balance, ending balance, deposits, withdrawals, and year offsets. Period-return mode compounds up to four entered holding-period returns. The calculator reports average annual return, cumulative return, net gain, total holding years, and an estimate-only note.

Result

Result summary: Money-weighted average annual return is 7.31% over 5 years.
Average annual return: 7.31%
Cumulative return: 38.46%
Net gain: $5,000.00
Total holding years: 5
What this means: Cash-flow mode solves an annualized money-weighted return from dated deposits and withdrawals.

Scenario nameNotes

Save this result, then use saved scenarios to switch between assumptions.

Before you calculate

Use cash-flow mode when deposits or withdrawals changed the account path during the holding period. Use period-return mode when you already have separate holding-period returns and want one compounded annualized view. Use ROI for a single start-to-end amount, IRR for a fuller cash-flow rate solve, investment for contribution projections, payback period for recovery timing, and finance for broader time-value scenarios.

Formula summary

In cash-flow mode, Starting balance and deposits are investor outflows, Withdrawal 1 and Ending balance are inflows, and the timing inputs are year offsets from the account start. The calculator filters zero-value cash flows, then solves sum(CF_i / (1 + r)^t_i) = 0 by binary search from -99.99 percent to 1000 percent for 160 iterations. Cash-flow cumulative return is Net gain divided by invested capital, where Net gain is Ending balance plus withdrawals minus Starting balance and deposits. In period-return mode, each populated row uses holding years plus months / 12, compounds as (1 + Period return / 100)^holding years, ignores zero-length rows, multiplies the row growth factors, and annualizes the combined growth over total holding years.

Worked example

Example: default cash-flow mode and period-return mode

With the default cash-flow inputs, a $10,000 starting balance grows to $17,500 over 5 years with $2,000 deposited at year 1, $1,000 deposited at year 3, and a $500 withdrawal at year 4. Cash-flow mode reports 7.31 percent average annual return, 38.46 percent cumulative return, $5,000.00 net gain, and 5 total holding years. Switching to period-return mode with the default rows of 8 percent for 1 year, -3 percent for 6 months, 12 percent for 2 years, and 4 percent for 1 year and 6 months reports 7.19 percent average annual return, 41.51 percent cumulative return, $4,151.28 net gain, and 5 total holding years.

The two modes answer related but different questions. Cash-flow mode weights the timing and size of account flows; period-return mode compounds already-calculated period returns. Neither result is a formal performance report, product comparison, tax calculation, fee analysis, risk assessment, or recommendation to buy, sell, hold, or choose an investment.

Assumptions

Cash-flow mode supports the fields exposed on this page: one starting balance, one ending balance, two deposit rows, one withdrawal row, and year offsets. It does not use exact calendar dates, trading days, actual/actual day counts, or provider performance-reporting conventions.
Period-return mode supports four holding-period rows. Rows with 0 years and 0 months are ignored, and any dividends, fees, taxes, currency moves, or income effects must already be included in the entered return percentages if they should affect the estimate.
Results use the numbers entered on the page, round currency and percent outputs to two decimals, and are educational estimates rather than financial, tax, legal, lending, investment, provider, formal performance-reporting, or regulated advice.

Common mistakes to avoid

Averaging percentage returns casually. Period-return mode compounds each row by its holding length, so a simple arithmetic average can tell a different story.
Treating cash-flow mode as an exact dated return report. This app uses year offsets, while some comparators and provider statements use exact calendar dates or formal performance rules.
Reading average annual return as a product forecast, benchmark result, fee-adjusted statement, tax answer, or investment recommendation. The calculator only models the entered numbers.

Methodology and sources

This calculator is an original implementation based on documented formulas, app-specific assumptions, deterministic fixtures, edge cases, rounding policy tests, and internal validation. It is not copied from a single source.

Outputs are checked with deterministic fixtures, edge cases, rounding policy tests, and internal independent comparator checks where overlapping outputs are available. The result remains an educational estimate, not a quote, approval, tax answer, or personalised advice.

Formula version 2026.05.22-generic-average-return. The version marks the calculation logic and validation fixture set used for this estimate.

Investor.gov Annual Return and SEC rate-of-return materials can support plain annual-return context, but they should not be cited as ownership of this app's cash-flow year-offset solver or period-return compounding implementation.
Investor.gov What is Risk and Understanding Fees materials should be used before copy discusses investment-product features, risk, volatility, return interpretation, fees, costs, liquidity, fraud, diversification, or real-world account outcomes.
SEC, FINRA, FCA, MoneyHelper, prospectuses, fund documents, adviser or provider statements, fee disclosures, tax authorities, local regulators, and legal sources should be used before copy frames generic average-return math as formal performance reporting, time-weighted return, money-weighted return, benchmark comparison, regulated product disclosure, tax treatment, legal claim, product-specific guidance, or jurisdiction-specific advice.

Estimate only

The result is educational and is not financial, tax, legal, lending, investment, or regulated advice. Real provider terms, fees, rates, taxes, and personal circumstances can change the final answer.

Formula and help: read the full average return calculator methodology notes.