Question

Mr. West wishes to purchase a condominium for $240,000 in cash upon his retirement 10 years from now. How much should he deposit at the end of each month into an annuity paying 2.7% interest compounded monthly in order to accumulate the required amount

Answer 1

He should deposit $1,744.37 at the end of each month.

Step-by-step explanation:

This can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FV = M * (((1 + r)^n - 1) / r) ................................. (1)

Where,

FV = Future value or the of condominium = $240,000

M = Monthly payment = ?

r = monthly interest rate = 2.7% / 12 = 0.027 / 12 = 0.00225

n = number of months = 10 years * 12 months = 120

Substituting the values into equation (1) and solve for M, we have:

$240,000 = M * (((1 + 0.00225)^120 - 1) / 0.00225)

$240,000 = M * 137.585424499073

M = $240,000 / 137.585424499073

M = $1,744.37

Therefore, he should deposit $1,744.37 at the end of each month.