In: Finance
You are considering an investment that promises to pay $500 every week for 2 years with the first payment made immediately. If the opportunity cost of the investment is 10% p.a. compounded quarterly, what is the investment’s value today?
Effective quarterly rate = 10%/4 = 2.5%
Number of two-weeks in a quarter = 3 months per quarter * 2 two-weeks per month = 6
Effective two-week rate, r = (1 + 0.025)^(1/6) - 1
r = 0.004123915465
The first payment is immediate,
PV = PMT/r * (1 + r)
PV = 500/0.004123915465 * (1 + 0.004123915465)
PV = 121,243.9983902531 * 1.004123915465
PV = $121,743.9983902531
The investment's value today = $121,744