Question

You just deposited $3,000 in a bank account that pays a 4.0% nominal interest rate, compounded quarterly. If you also add another $5,000 to the account one year (4 quarters) from now and another $7,500 to the account two years (8 quarters) from now, how much will be in the account three years (12 quarters) from now

Answer 1

Answer:

Total FV= $16,599.29

Explanation:

We will calculate each investment separately, and then the total future value.

FV= PV*(1+i)^n

Deposit 1:

PV= 3,000

n= 12

i= 0.04/4= 0.01

FV= 3,000*(1.01^12)

FV= $3,380.48

Deposit 2:

PV= $5,000

n= 8

i= 0.01

FV= 5,000*(1.01^8)

FV= $5,414.28

Deposit 3:

FV= 7,500*(1.01^4)

FV= $7,804.53

Total FV= $16,599.29