Answer:
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
