You deposited ($1,000) in a savings account that pays 8 percent interest, compounded quarterly, planning to use it to finish your last year in college. Eighteen months later, you decide to go to the Roshy Mountains to become a ski instructor rather than continue in school, so you close out your account. How much money will you receive? (Round to the nearest whole dollar

Question

Dane Wells

Business

19 August, 14:11

You deposited ($1,000) in a savings account that pays 8 percent interest, compounded quarterly, planning to use it to finish your last year in college. Eighteen months later, you decide to go to the Roshy Mountains to become a ski instructor rather than continue in school, so you close out your account. How much money will you receive? (Round to the nearest whole dollar

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Donte Dyer · Answer 1

Present value (PV) = $1,000

Interest rate (r) = 8% = 0.08

Number of years (n) = 18 months = 1.5 years

No of compounding periods in a year = 4

Future value (FV) = ?

FV = PV (1 + r/m) nm

FV = $1,000 (1 + 0.08/4) 1.5x4

FV = $1,000 (1 + 0.02) 6

FV = $1,000 x 1.1262

FV = $1,126

Explanation:

The amount to be received in 18 months is $1,126. This is obtained by compounding the present value at 8% compounded quarterly for 18 months. The formula to be applied is the formula for future value of a lump sum (single investment).