Problem 56135. Ordinary Annuity : Rate (Future Value)

Mehmet OZC

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Theorem : Future Value of an Ordinary Annuity 
where;
F : Future value
A : Periodic payment
r : Rate per period
n : Number of periods (payments)
Calculate r, given, F, A and n. Assume interest rate is a positive real number. 

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35 Solutions

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Last Solution submitted on Jul 13, 2026

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William on 1 Oct 2022

The "correct" values of r used in these tests all appear to have errors greater than the tolerance of 1e-4, as you can verify by plugging them in to the formula for Future Value.

Mehmet OZC on 1 Oct 2022

Thanks for the catch. I have updated the test suite.

William on 1 Oct 2022

Thanks Mehmet, but there are still big errors. The correct answers are:
Test 1: r = 0.08837372469
Test 2: r = 0.06774487509
Test 3: r = 0.01422142597

Mehmet OZC on 1 Oct 2022

I fixed the errors. I also updated the assert statements.

Rafael S.T. Vieira on 3 Nov 2022

Good problem.

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