Question

You are thinking of building a new machine that will save you $ 2 comma 000 in the first year. The machine will then begin to wear out so that the savings decline at a rate of 4 % per year forever. What is the present value of the savings if the interest rate is 7 % per​ year?

Answer 1

Present Value= $18,181.82

Step-by-step explanation:

Giving the following information:

Savings= $2,000

The machine will then begin to wear out so that the savings decline at a rate of 4 % per year forever.

Interest rate= 7%

To determine the present value of the savings, we need to use the perpetual annuity formula with the decline rate.

PV= Cf/ (i + g)

Cf= cash flow

PV= 2,000/ (0.07 + 0.04)

PV= $18,181.82