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Question 12 2,116 14 Maci
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Answer #1

The Value at the end of third year = $3,392.28

Year

Cash Flow

Future Value of this cash flow

Cumulative Future Value

1

$1,000

$1,266.77

$1,266.77

2

$1,000

$1,125.51

$2,392.28

3

$1,000

$1,000.00

$3,392.28

Quarterly Interest Rate = 12% / 4 = 3% per quarter

Number of Compounding Period for the first year Deposit = 4 x 2 = 8 Periods

Future Value of this cash flow - Year 1 = $1,000 x (1 + 0.03)8

= $1,000 x 1.26677

= $1,266.77

Number of Compounding Period for the second year Deposit = 4 x 1 = 4 Periods

Future Value of this cash flow - Year 1 = $1,000 x (1 + 0.03)4

= $1,000 x 1.12551

= $1,125.51

Future Value of third year Deposit = $1,000 x 1 = $1,000

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