Question

You just deposited $8,000 in a bank account that pays a 4.0% nominal interest rate, compounded...

You just deposited $8,000 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?

a.

$20,232.41

b.

$23,789.75

c.

$19,565.40

d.

$26,457.76

e.

$22,233.41

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Answer #1

rate positively ..

Period Cash flow future value
0 8000       9,014.60 8000*(1+1%)^12
1 0                 -   0
2 0                 -   0
3 0                 -   0
4 5000       5,414.28 8000*(1+1%)^8
5 0                 -   0
6 0                 -   0
7 0                 -   0
8 7500       7,804.53 7500*(1+1%)^4
9 0                 -   0
10 0                 -   0
11 0                 -   0
12 0                 -   0
Total Total     22,233.41
Therefore answer is option e = 22,233.41
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