Answer:
$1,331.96
Explanation:
Present value (PV) refers to today's worth of cash flows to be received at a future date. The formula for PV is given as follows:
PV = F ÷ (1 + r)^n ......................................... (1)
PV = present value = ?
F = Future amount or note amount = $1,500
r = interest rate = 4% annually = 0.04 annually
= (0.04 ÷ 2) semiannually = 0.02 semiannually
n = number of compounding period = 3 years
= (3 × 2) semiannually = 6 semiannually
Substituting the figures above into equation (1). we have:
PV = $1,500 ÷ (1 + 0.02)^6
= $1,500 ÷ (1.02)^6
= $1,500 ÷ 1.126162419264
= $1,331.96
Therefore, the present value of the note at 4% per year compounded semiannually is $1,331.96.
