Question

HI Corporation is considering the purchase of a machine that promises to reduce operating costs by the same amount for every year of its 5-year useful life. The machine will cost $211,980 and has no salvage value. The machine has a 14% internal rate of return. (Ignore income taxes.) Click here to view Exhibit 13B-1 and Exhibit 13B-2 to determine the appropriate discount factor(s) using the tables provided. Required: What are the annual cost savings promised by the machine? (Round your intermediate calculations and final answer to the nearest whole dollar amount.)

Answer 1

Answer:

Annual savings = 61,746.

Explanation:

The Net Present Value (NPV) is the difference between the present value (PV) of cash outflows  and PV of cash inflow

At the internal rate of return the PC of annual cash savings will be equal to the investment cost

Initial cost = 211980

PV = annual cash savings = A× (1- (1+r)^(-n)/ r

A=?  r-internal rate of return, 14%, n-number of years- 5

211980 = A  (1- (1.14)^(-5)/ 0.14

211,980 = A× 3.433080969

A= 211,980/3.43308

A= 61746.28619

Annual savings = 61,746.