Question

Swifty Corporation financed the purchase of a machine by making payments of $20500 at the end of each of five years. The appropriate rate of interest was 12%. The future value of one for five periods at 12% is 1.76234. The future value of an ordinary annuity for five periods at 12% is 6.35285. The present value of an ordinary annuity for five periods at 12% is 3.60478. What was the cost of the machine to Swifty

Answer 1

Answer:

Cost of machine = $73,897.99

Explanation:

The cost of machine to Swifty Corporation the present value pf the ordinary annuity payment of $20,500 per year discounted at the interest rate of 12%.

Note that the annuity is an ordinary annuity because annual  payment  is made at the end of the year.

Present value of ordinary annuity= annuity factor× annual payment

Present value of ordinary annuity = 20,500× 3.60478= $73,897.99

Cost of machine = $73,897.99