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A firm evaluates the new project and it has the following cash flows: Year 0 1 2 3 4 Cash Flows -$18,000 $4,230 $6,990 $7,200 $9,330 a

Finance Dec 28, 2020

A firm evaluates the new project and it has the following cash flows:

Year 0 1 2 3 4
Cash Flows -$18,000 $4,230 $6,990 $7,200 $9,330

a. Using IRR, should the firm accept this project if the required return is 10%?

b. What is the NPV at a discount rate of zero percent? What is the NPV at a required return of 21%? Should the firm accept this project?

Expert Solution

a)

NPV = - Initial Outlay + \sum Cash inflow per year/ (1 + IRR)period

To calculate IRR we assume NPV = 0

0 = -$18,000 + $4230 / (1 + IRR)1 + $6990 / (1 + IRR)2 + $7200 / (1 + IRR)3 + $9330 / (1 + IRR)4

Using Texas Instrument BA 2 plus calculator

Press CF, CFo = -18000, Press ENTER

C01 = 4230, Press ENTER

F01 = 1, Press ENTER

C02 = 6990, Press ENTER

F02 = 1, Press ENTER

C03 = 7200, Press ENTER

F03 = 1, Press ENTER

C04 = 9330, Press ENTER

F04 = 1, Press ENTER

Press IRR. Press CPT

IRR = 17.4899% or 17.49%

The firm should accept the project since IRR > required return

b)

If discount rate = zero percent

NPV = - Initial Outlay + \sum Cash inflow per year/ (1 + discount rate)period

NPV = -$18,000 + $4230 / (1 + 0%)1 + $6990 / (1 + 0%)2 + $7200 / (1 + 0%)3 + $9330 / (1 + 0%)4

NPV = 9750

The firm should accept the project

If required return = 21%

NPV = - Initial Outlay + \sum Cash inflow per year/ (1 + required return)period

NPV = -$18,000 + $4230 / (1 + 21%)1 + $6990 / (1 + 21%)2 + $7200 / (1 + 21%)3 + $9330 / (1 + 21%)4

NPV = -$1313.14

The firm shouldn't accept the project

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