Question

If a person deposits $1,000 now into a savings account for 10 years, the amount of money required in year 10 to account for a 6% per year inflation and earn a real 8% per year interest rate is closest to what?

Answer 1

$3,707.22

Step-by-step explanation:

the nominal interest rate that this person wants = real interest rate + inflation rate = 8% + 6% = 14%

this means that his/her account needs to earn 14% per year in order to gain an 8% real interest rate with a 6% inflation rate:

future value = present value x (1 + r)ⁿ

• present value = $1,000
• r =14%
• n = 10

future value = $1,000 x (1 + 14%)¹⁰ = $3,707.22