Question

In: Finance

Your company owns a piece of manufacturing equipment that requires a lot of maintenance. You estimate...

Your company owns a piece of manufacturing equipment that requires a lot of maintenance. You estimate that the maintenance costs will be​ $750 next year​ (Year 1), and will increase by​ $250 each year until Year​ 8, at which point you will discard the equipment​ (after paying the maintenance costs for that year​ - there is a cash flow in Year​ 8). You want to know how much money you should put aside now to pay for this maintenance​ (the present value of the cash flows at Year​ 0), assuming an interest rate of​ 5% per year.

a. To solve for the present value in Year​ 0, you need to split the cash flows into two pieces. What are these​ pieces?

b. How much money do you need to put aside now to pay for the​ maintenance?

c. If you converted the maintenance costs into an equivalent uniform annual cost​ (an annuity) over the 8​ years, what would that annual cost​ be?

a. To solve for the present value in Year​ 0, you need to split the cash flows into two pieces. What are these​ pieces?

Piece​ 1:

A.

An annuity of​ $750 for 8 years

B.

An annuity of​ $500 for 8 years

C.

An annuity of​ $750 for 7 years

D.

An annuity of​ $700 for 7 years

Piece​ 2:

A.

A uniform gradient of​ $250 for 7 years

B.

A uniform gradient of​ $750 for 8 years

C.

A uniform gradient of​ $750 for 7 years

D.

A uniform gradient of​ $250 for 8 years

Solutions

Expert Solution

a. Piece 1: A. An annuity of​ $750 for 8 years.
Piece 2: A. A uniform gradient of​ $250 for 7 years.


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