Question

g invested $800,000 in a new CNC hot wire cutting machine. They intend to sell foam products fabricated using this machine. At an interest rate of 12% per year compounded quarterly, the quarterly income required to recover the investment in 3 years is (choose closet answer):

Answer 1

Answer:

Quarterly income = $ 36,643.03

Explanation:

The quarterly income ca be determined using the present value of the annuity technique.

The Present Value of the annuity technique

PV = A × ((1- (1+r)^(-n)/r

A- quarterly payment, n- number of quarters, quarterly rate, PV - Present of investment

A- ?  n -3× 12= 36, r-12%/4= 3%

800,000 = A×  (1- (1.03)^(-36)

800,000 = A×  (1- (1.03)^(-36)

800,000 = A × 21.8322525

A = 800,000/21.8322525

A= 36,643.03

Quarterly income = $ 36,643.03