Ted, a project manager, wants to invest in a project with an initial cost of $58,500 and cash flows of $32,400 and $38,500 in Years 1 and 2. Rosita, his boss, requires a discount rate of 10 percent and also a return of $1.10 in today's dollars for every $1 invested. Will Ted get his project approved? Calculate IRR and PI for this project to make a decision.

The project will not be approved

Explanation:

Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested

IRR can be calculated with a financial calculator  

Cash flow in year 0 = $-58,500

Cash flow in year 1 = $32,400

Cash flow in year 2 = $38,500

IRR = 13,41%

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  

Cash flow in year 0 = $-58,500

Cash flow in year 1 = $32,400

Cash flow in year 2 = $38,500

I = 10%

NPV = $2,772.72

PI = 1 + $2,772.72 / $58,500 = 1.04

The project will not be approved because the PI is less than the amount of return the boss wants even though the IRR is less than the discount rate

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  

To find the IRR 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 IRR button and then press the compute button.  

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