Ratedrill

Level 2: Annuities Problem 14 of 53 Pro

Annuity due: deposits at the start

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 put $1,000 into a retirement account at the start of every year for 35 years. It earns 4.25% per year. What is the balance at the end of year 35?

What this problem teaches

The formula: FV(due) = PMT × ((1 + r)^n - 1) / r × (1 + r). 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. Switch back to END afterwards.

A hint if you get stuck

Annuity due: compute the ordinary annuity future value, then multiply by (1 + r), or switch the calculator to BGN.

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