Question

Find the periodic payments PMT necessary to accumulate the given amount in an annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $30,000 in a fund paying 2% per year, with monthly payments for 10 years

Answer 1

Answer:

$ 226.04

Explanation:

Given:

Paying fund, FV = $ 30000

Interest rate, i = 2%

Time, t = 10 years

Now,

$\textup{PMT}=\textup{FV}[\frac{i}{(1+i)^n-1}]$

since, the payment is made monthly

thus,

n = 10 × 12 = 120 months

i = 2% / 12 = 0.02 / 12

on substituting the values in the above equation, we get

$PMT={30000}[\frac{\frac{0.02}{12}}{(1+{\frac{0.02}{12}})^{120}-1}]$

or

PMT = $ 226.04