Answer:
$31,886.09
Explanation:
years until retirement = 65 - 40 = 25 years
interest earned 7%
retirement age 65
expected life span after retiring = 95 - 65 = 30 years
financial needs during retirement $250,000 per year
current account balance $200,000
we must first determine how much money you will need when you are 65:
present value = $250,000 x 12.409 (PV annuity, 30 years, 7%) = $3,102,250
your $200,000 will be worth $200,000 x (1 + 7%)²⁵ = $1,085,486.53 in 25 years
so you need $3,102,250 - $1,085,486.53 = $2,016,763.47 extra
using the FV formula for an annuity:
$2,016,763.47 = payment x 63.249 (FV annuity, 25 years, 7%)
payment = $2,016,763.47 / 63.249 = $31,886.09
