Question

Determine the amount of money in a savings account at the end of 3 years, given an initial deposit of $6,500 and a 12 percentAppendix A Future value of $1, FVF F V = PV(1 + i) Percent Period 6% 7% 8% 9% 10% 11% ..................... ......... 3% 1.0Appendix A (concluded) Future value of $1 Percent Period 14% 1.140 1.300 1.482 ....... 1.689 1.925 2.195 2.502 2.853 3.252 ..

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Answer #1

a) If Interest is Compounded Annually

Interest rate = 12%

No. of Periods = 3 yrs

Future Value of Savings = Initial Deposit*Future Value Factor(12%, 3)

= $6,500*1.405 (From the given table)

= $9,132.50

b) If Interest is Compounded Semiannually

Semi annual Interest rate = 12%*6/12 = 6%

No. of Semiannual Periods = 3 yrs*2 = 6 periods

Future Value of Savings = Initial Deposit*Future Value Factor(6%, 6)

= $6,500*1.419 (From the given table)

= $9,223.50

c) If Interest is Compounded Quarterly

Quarterly Interest rate = 12%*3/12 = 3%

No. of Periods = 3 yrs*4 = 12 periods

Future Value of Savings = Initial Deposit*Future Value Factor(3%, 12)

= $6,500*1.426 (From the given table)

= $9,269

Future Value
a. Annually 9,132.50
b. Semiannually 9,223.50
c. Quarterly 9,269
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