A project costs €80 000 today and returns €22 000 at the end of each year for 8 years. The required rate of return is 12%. Find the profitability index PI.
NPV & IRR worksheet with answers
A machine is expected to save €15 000, €25 000, €12 000, €25 000 at the end of years 1 to 4, after which it is worthless. The required return is 8%. What is the most the company should pay for the machine today? Find PV.
An investment of €45 000 gives these cash flows at the end of years 1 to 3: €16 000, €17 000, €10 000. The cost of capital is 6%. Find the net present value NPV.
An investment of €60 000 gives these cash flows at the end of years 1 to 3: €24 000, €20 000, €28 000. The cost of capital is 12%. Find the net present value NPV.
A project costs €25 000 and returns €18 500, €9 000, €11 000 at the end of years 1 to 3. Find its internal rate of return IRR in percent.
A project costs €40 000 and returns €25 000, €27 500 at the end of years 1 to 2. Find its internal rate of return IRR in percent.
Answer key
- 1. PI = 1.366
- 2. PV = 63224 €
- 3. NPV = −6380 €
- 4. NPV = −2698 €
- 5. IRR = 28.6 %
- 6. IRR = 19.86 %
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