Answer:
$366,287.15
Explanation:
Annual salary = $32000
No. of years (n) = 30 years
Increment in salary = $600
Deposit rate = 10%
Interest rate (r) = 7% or 0.07
Growth rate (g) = Increment in salary \div annual salary
Growth rate = $600 \ $32000
Growth rate = 0.01875
First deposit = $32000 x 10% = $3200
Future worth = [First deposit \ (r - g)] x [(1 + r)n - (1 + g)n]
Future worth = [$3200 \ (0.07 - 0.01875)] x [(1 + 0.07)30 - (1 + 0.01875)30]
Future worth = [$3200 \ 0.05125] x [(1.07)30 - (1.01875)30]
Future worth = $62439.0243902 x [7.6122550423 - 1.7459373366]
Future worth = $62439.0243902 x 5.8663177057
Future worth = $366287.15
Hence, the future worth at retirement is $366,287.15
