Question

In: Finance

Twenty years ago, you deposited $1,000 into an account. Fifteen years ago, you added an additional...

Twenty years ago, you deposited $1,000 into an account. Fifteen years ago, you added an additional $3,000 to your account. You earned 6 percent, compounded annually, for the first 5 years and 10 percent, compounded annually, for the last 15 years. How much money do you have in your account

Solutions

Expert Solution

Amount in Account = Sum of Future value

Future value = Depsoit * FVF(r%, n)

Future Value Factor:
FVF(r%, n) = ( 1 + r )^n
r = Int Rate per period/ Year
n = Balance Periods/ years

Particulars Cash Flow FVF FV of CFs
Deposit 1 $ 1,000.00     5.5901 $    5,590.10
Deposit 2 $ 3,000.00     4.1772 $ 12,531.74
FV of CFs $ 18,121.84

FVF of Deposit 1 = (1.05^5)(1.10^15)

Fv of deposit 2 = 1.10^15

Amount in Account today is $ 18121.84


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