Answer:
a. The first payment is received at the end of the first year, and interest is compounded annually.
present value = annual payment x PVIFA
annual payment = $3,500
PVIFA, 12%, 5 periods = 3.6048
present value = $12,616.80
b. The first payment is received at the beginning of the first year, and interest is compounded annually.
annual payment = $3,500
PVIF annuity due, 12%, 5 periods = 4.0373
present value = $14,130.55
c. The first payment is received at the end of the first year, and interest is compounded quarterly.
present value = annual payment x PVIFA
annual payment = $3,500
effective interest rate = 1.03⁴ - 1 = 12.55%
PVIFA, 12.55%, 5 periods = 3.5562
present value = $12,446.70
