RATE function in Google Sheets
Calculates the interest rate of an annuity investment based on constant-amount periodic payments and the assumption of a constant interest rate.
=RATE(number_of_periods, payment_per_period, present_value, [future_value, end_or_beginning, rate_guess])RATE syntax and parameters
Six arguments, three required.
- number_of_periodsnumberRequired
The number of payments to be made.
- payment_per_periodnumberRequired
The amount per period to be paid.
- present_valuenumberRequired
The current value of the annuity.
- future_valuenumberOptional
[ OPTIONAL ] - The future value remaining after the final payment has been made.
- end_or_beginningnumberOptional
[ OPTIONAL - 0 by default ] - Whether payments are due at the end (0) or beginning (1) of each period.
- rate_guessnumberOptional
[ OPTIONAL - 0.1 by default ] - An estimate for what the interest rate will be.
RATE examples
Formulas you'll actually reuse.
The annual rate implied by $350 a month over 5 years on $18,000 (×12 because periods are months):
=RATE(60, -350, 18000) * 12Result
0.0623The yearly return that doubles $10,000 in 10 years:
=RATE(10, 0, -10000, 20000)Result
0.0718
RATE in Excel
Same name — your formula ports as-is.
Try RATE in the playground
Edit the example — nothing to install.
Preloaded with the RATE formula from Example 1 — change anything and watch it respond.
RATE errors
What they mean — and the fixes.
#NUM!The iteration didn't converge — pass a guess (6th argument) near the expected rate, and check that pv and pmt have opposite signs.
Related functions
More ways Google Sheets gets this done.
- ACCRINTCalculates the accrued interest of a security that has periodic payments.FinancialExcel
- ACCRINTMCalculates the accrued interest of a security that pays interest at maturity.FinancialExcel
- AMORLINCReturns the depreciation for an accounting period, or the prorated depreciation if the asset was purchased in the middle of a period.FinancialExcel
- COUPDAYBSCalculates the number of days from the first coupon, or interest payment, until settlement.FinancialExcel
- COUPDAYSCalculates the number of days in the coupon, or interest payment, period that contains the specified settlement date.FinancialExcel
- COUPDAYSNCCalculates the number of days from the settlement date until the next coupon, or interest payment.FinancialExcel