Compound annual growth rate
Express a change in investment value as an equivalent compounded annual rate. Use this for a holding without intermediate deposits or withdrawals.
Understand the numbers · Make life easier
Return on dated cash flows
Estimate an annualized return when investment and recovery dates are irregular. Enter money invested as negative and money received as positive.
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Money-weighted annualized return
10%
Include an unsold holding's valuation once, on the final date. Both cash-flow dates and amounts affect the result.
Nonzero cash flows after merging by date2 records
Net total of all cash flows100 TWD
Worked steps
- Sort by date and merge entries on the same day; contributions are negative and receipts positive.
- Solve Σ CFᵢ ÷ (1+r)^((dateᵢ−start date)/365) = 0.
- The annualized result is about 10%; this is not a forecast of future returns.
Supports years 2000–2100, 2–100 cash flows and an absolute amount up to 1 billion per entry. Merges entries by date first. Only one sign change, from contributions to receipts, is supported. Multiple sign changes, such as reinvesting after dividends, may have multiple roots and are refused. For an unsold holding, include its valuation once as the final positive cash flow on the valuation date. Uses 365 days per year; not an investment forecast.
Method and scope
The tool combines entries on the same date and solves for the rate making discounted dated flows sum to zero. Year fractions use 365 days, and only one sign transition from investment to recovery is supported.
If an investment is unsold, include its valuation once as the final positive flow on the valuation date. That valuation is an assumption, not cash already received.
Use 2-100 entries dated 2000-2100, with each absolute amount no more than one billion. Reinvesting after distributions can create multiple sign changes and multiple roots, so this version rejects such cases; it does not forecast future returns.
What this helps you do
Estimate an annualized return when investment and recovery dates are irregular. Enter money invested as negative and money received as positive.
What to enter
Start with dated cash flows: yyyy-mm-dd,amount, then fill the other relevant fields in the units shown. The field hints explain the required format and examples.
How the calculation works
The tool combines entries on the same date and solves for the rate making discounted dated flows sum to zero. Year fractions use 365 days, and only one sign transition from investment to recovery is supported.
Worked example
Enter 2025-01-01,-1000 and 2026-01-01,1100 for a TWD 1,000 investment recovered as TWD 1,100 after 365 days. The annualized return is 10%.
Understanding the answer
If an investment is unsold, include its valuation once as the final positive flow on the valuation date. That valuation is an assumption, not cash already received.
Scope and limitations
Use 2-100 entries dated 2000-2100, with each absolute amount no more than one billion. Reinvesting after distributions can create multiple sign changes and multiple roots, so this version rejects such cases; it does not forecast future returns.