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Interest Rate Calculator

Find the interest rate hidden in any loan payment.

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Interest Rate Calculator

Find the real interest rate on a loan from its payment

$
years
months
$

Interest rate

5.065%

APR, 5.184% effective annual rate

Total of payments
$34,560.00
Total interest
$2,560.00
Number of payments
36

Assumes a fixed-rate loan with equal monthly payments and no fees. Fees financed into the loan make the true APR higher.

Principal vs interest
Principal93%
  • Principal$32,000
  • Interest$2,560
MonthInterestPrincipalBalance
1$135.06$824.94$31,175.06
2$131.58$828.42$30,346.64
3$128.08$831.92$29,514.72
4$124.57$835.43$28,679.30
5$121.05$838.95$27,840.34
6$117.50$842.50$26,997.85
7$113.95$846.05$26,151.80
8$110.38$849.62$25,302.17
9$106.79$853.21$24,448.97
10$103.19$856.81$23,592.16
11$99.57$860.43$22,731.73
12$95.94$864.06$21,867.67
13$92.30$867.70$20,999.97
14$88.63$871.37$20,128.60
15$84.96$875.04$19,253.56
16$81.26$878.74$18,374.82
17$77.55$882.45$17,492.38
18$73.83$886.17$16,606.21
19$70.09$889.91$15,716.30
20$66.33$893.67$14,822.63
21$62.56$897.44$13,925.19
22$58.77$901.23$13,023.96
23$54.97$905.03$12,118.93
24$51.15$908.85$11,210.08
25$47.31$912.69$10,297.40
26$43.46$916.54$9,380.86
27$39.59$920.41$8,460.45
28$35.71$924.29$7,536.16
29$31.81$928.19$6,607.97
30$27.89$932.11$5,675.86
31$23.96$936.04$4,739.82
32$20.01$939.99$3,799.82
33$16.04$943.96$2,855.86
34$12.05$947.95$1,907.91
35$8.05$951.95$955.97
36$4.03$955.97$0.00

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How the interest rate calculator works

A fixed-rate loan payment is M = P × r / (1 - (1 + r)^-n), where P is the loan, r the monthly rate and n the number of payments. There is no formula that solves it for r, so the calculator finds the rate numerically until the payment matches yours.

The APR shown is the monthly rate times 12. The effective annual rate includes monthly compounding and is slightly higher.

Using and checking your result

Published by JustYourCalculator. Check the units and assumptions above, and compare a known example before relying on the output. Calculations use browser arithmetic and may round displayed values.

This is an educational estimate, not a lender quote, tax filing calculation or investment recommendation. Actual costs depend on current rules, fees and your circumstances. Verify important decisions with official sources and a qualified adviser.

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