Question

An individual who makes $32,000 per year anticipates retiring in 30 years. If their salary is increased by $600 each year and they deposit 10% of their yearly salary into a fund that earns 7% interest, what is the future worth at retirement?

Answer 1

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