Find the net present value of a project that has cash flows of −$12,000 in Year 1, +$5,000 in Years 2 and 3, −$2,000 in Year 4, and +$6,000 in Years 5 and 6. Use an interest rate of 12%. Find the interest rate that gives a net present value of zero.

NPV = $2,000

IRR = 19.19%

Explanation:

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  

Only firms with a positive NPV should accept the project because a negative NPV indicates that the project would be unprofitable for the firm

the interest rate that gives a net present value of zero is the IRR

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 using a financial calculator

Cash flow for year 1 =  −$12,000

Cash flow for year 2 =  $5,000

Cash flow for year 3 =  $5,000

Cash flow for year 4 =  −$2,000

Cash flow for year 5 =  $6,000

Cash flow for year 6 =  $6,000

I = 12%

NPV = $2,000

IRR = 19.19%

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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