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6. What is the future value of the annuity if the quarterly payment is P500.00 with an interest rate of 2% compounded monthly

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Answer #1

Solution:

monthly interest rate = 2%/12 = 0.166666666%

Effective quarterly rate of interest = 1 * (1+0.0016666666)^3 - 1 = 0.500833793%

Quarterly payments = P500

Total payments = 25

Future value = P 500 * Cumulative FV factor at 0.500833793% for 25 periods

= P500 * 26.56182 = $13,280.91

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