The Matterhorn Corporation is trying to choose between the following two mutually exclusive design projects: Year Cash Flow (I) Cash Flow (II)
0 –$87,000 –$55,000
1 36,900 11,700
2 47,000 34,500
3 27,000 28,500
Requirement 1:
(a) If the required return is 10 percent, what is the profitability index for each project? (Do not round intermediate calculations). Round your answers to 3 decimal places.
(b) If the required return is 10 percent and the company applies the profitability index decision rule, which project should the firm accept?
Requirement 2:
(a) If the required return is 10 percent, what is the NPV for each project? (Do not round intermediate calculations. Round your answers to 2 decimal places .

PI for the first project = 1 + ($5,673.93 / 87,000) = 1.065

PI for the second project = 1 + ($5,561.23 / $55,000) = 1.101

b. the second project should be chosen because the PI is higher

NPV for 1 = $5,673.93

NPV for 2 =   $5,561.23

Explanation:

profitability index  = 1 + (NPV / Initial investment)

Net present value is the present value of after tax cash flows from an investment less the amount invested.  

NPV can be calculated using a financial calculator

for the first project

Cash flow in year 0 = –$87,000

Cash flow in year 1 = 36,900

Cash flow in year 2 = 47,000

Cash flow in year 3 =  27,000

I = 10%

NPV = $5,673.93

for the second project

Cash flow in year 0 = –$55,000

Cash flow in year 1 = 11,700

Cash flow in year 2 =  34,500

Cash flow in year 3 = 28,500

I = 10%

NPV = $5,561.23  

PI for the first project = 1 + ($5,673.93 / 87,000) = 1.065

PI for the second project = 1 + ($5,561.23 / $55,000) = 1.101

b. the second project should be chosen because the PI is higher

To find the NPV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute  

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