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(4 points) If you make monthly payments of $468.00 into an ordinary annuity earning an annual interest rate of 5.46% compound

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Answer #1

1)

Number of periods = 5 * 12 = 60

Rate = 5.46% /12 = 0.455%

Future value = Monthly payment * [(1 + r)^n - 1] / r

Future value = 468 * [(1 + 0.00455)^60 - 1] / 0.00455

Future value = 468 * [1.313087 - 1] / 0.00455

Future value = 468 * 68.810315

Future value = $32,203.23

2)

Number of periods = 8 * 12 = 96

Future value = 468 * [(1 + 0.00455)^96 - 1] / 0.00455

Future value = 468 * [1.546214 - 1] / 0.00455

Future value = 468 * 120.047006

Future value = $56,182.00

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