Present value with periodic rates. Sam Hinds, a local dentist, is going to remodel the dental reception area and add two new workstations. He has contacted A-Dec, and the new equipment and cabinetry will cost $25 comma 000. The purchase will be financed with an interest rate of 10% loan over 6 years. What will Sam have to pay for this equipment if the loan calls for semiannual payments (2 per year) and monthly payments (12 per year)? Compare the annual cash outflows of the two payments. Why does the monthly payment plan have less total cash outflow each year? What will Sam have to pay for this equipment if the loan calls for semiannual payments (2 per year)?

What will Sam have to pay for this equipment if the loan calls for semiannual payments (2 per year)

and monthly payments (12 per year)?

Compare the annual cash outflows of the two payments.

Why does the monthly payment plan have less total cash outflow each year?

What will Sam have to pay for this equipment if the loan calls for semiannual payments (2 per year)?

Explanation:

cabinet cost $25,000

interest rate 10%

we can use the present value of an annuity formula to determine the monthly payment:

present value = $25,000

PV annuity factor (5%, 12 periods) = 8.86325

payment = PV / annuity factor = $25,000 / 8.8633 = $2,820.62

present value = $25,000

PV annuity factor (0.8333%, 60 periods) = 47.06973

payment = PV / annuity factor = $25,000 / 47.06973 = $531.13