Ratedrill

Level 2: Annuities Problem 16 of 53 Pro

Monthly saving to reach a goal

A time value of money problem from Ratedrill. Solve it with one answer box, with fresh numbers on every attempt and the formula, calculator keystrokes and Excel version in the worked answer, and it is checked the moment you submit.

The task

You want $15,000 in 30 years. Your account earns 3.25% APR, compounded monthly. How much must you deposit at the end of each month?

What this problem teaches

The formula: PMT = FV × i / ((1 + i)^n - 1). Set P/Y = C/Y = 1, so I/Y is the rate per period. Cash you pay out is negative and cash you receive is positive.

A hint if you get stuck

Rearrange the annuity future value formula: PMT = FV × i / ((1 + i)^n - 1).

This problem is part of Pro

Pro unlocks all 53 problems, with worked solutions and progress saved to your account. The free problems work without an account.

You create a free account first, so Pro is attached to it.

Monthly is charged today and then every month until you cancel, in one click from your account page. Lifetime is one payment with no renewals. Full refund within 14 days of paying.

Start with the free problems

More problems in Annuities