Required Rate of Return Calculator (Solve for the Yield You Need)
Work backwards from your savings goal: enter the target amount, how many years you will invest, your monthly contribution, and any starting amount, to find the annual return (compounded monthly) you need to reach the goal.
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Input
Enter your target amount, investment period, and monthly contribution (plus any starting amount) to solve for the annual return, compounded monthly, that you need to reach the goal.
Enter the amount you want to reach, in units of 10,000 yen.
If you already have assets to invest, enter them in units of 10,000 yen. Leave 0 if none.
Result
Required annual return (estimate)
3.14%
Annual rate assuming 240 end-of-month contributions with monthly compounding.
Total contributions
7,200,000 yen
Growth needed
2,800,000 yen
Contributions
240 payments
How it works
- The monthly rate is the annual rate (%) divided by 100 and by 12, and the number of contributions is years ร 12, assuming monthly compounding with end-of-month contributions (an ordinary annuity).
- The future value is: starting amount ร (1 + monthly rate)^n + monthly contribution ร {(1 + monthly rate)^n โ 1} รท monthly rate. The calculator numerically solves (by bisection) for the annual rate that makes this equal your target.
- If your total contributions (starting amount plus monthly deposits) alone reach the target, the required return is shown as 0% โ no investment growth is needed.
- If even a 100% annual return would not reach the target, the goal is flagged as unrealistic; consider a larger contribution, a longer period, or a lower target.
- Taxes, fees, and fluctuating returns are not considered. In a taxable account, investment gains are taxed, so the return you actually need is higher than this result.
- Results are rough estimates and do not guarantee that any investment will deliver the displayed return. In general, a higher required return means taking more risk. Make investment decisions at your own responsibility.
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