Question 3
The problem is related to future value of ordinary annuity.
Ordinary Annuity is a series of payment or receipt of equal /same amount for a specified period.
In ordinary annuity, the payment or receipt will occur at the end of a particular time or period.
Annual Deposit at the end of each year = $3,000
Rate of Interest = 8% compounded annually
Number of period = 3
Future Value of ordinary annuity = Annual Deposit $3,000 x FVIFA(8%, 3) i.e. 3.2464
= $9,739.20 or $9,739 nearest dollar
FVIFA (R, n) = Future Value interest factor for ordinary annuity at R% for n periods = ((1+R)n – 1) / R
FVIFA (8%, 3) = ((1+0.08)3 – 1) / 0.08 = 3.2464
Question 4
Present Value = Amount to be received in 3 years $3,000 x Present Value interest factor at 8% for 3 periods
= $3,000 x 1/(1+0.08)3
= $3,000 * 0.7938322
= $2,381.50 or $2,382
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