A machine is expected to save €12 000, €12 000, €12 000, €8 000 at the end of years 1 to 4, after which it is worthless. The required return is 12%. What is the most the company should pay for the machine today? Find PV.
NPV & IRR worksheet with answers
A project costs €40 000 today and returns €17 000 at the end of each year for 3 years. The required rate of return is 10%. Find the net present value NPV.
An investment of €45 000 gives these cash flows at the end of years 1 to 3: €22 000, €15 000, €12 000. The cost of capital is 15%. Find the net present value NPV.
An investment of €20 000 gives these cash flows at the end of years 1 to 4: €4 000, €8 000, €9 000, €7 000. The cost of capital is 8%. Find the net present value NPV.
A project costs €10 000 and returns €3 500, €4 500, €6 000 at the end of years 1 to 3. Find its internal rate of return IRR in percent.
A project costs €25 000 and returns €18 500, €12 500, €12 000 at the end of years 1 to 3. Find its internal rate of return IRR in percent.
Answer key
- 1. PV = 33906 €
- 2. NPV = 2276 €
- 3. NPV = −6637 €
- 4. NPV = 2852 €
- 5. IRR = 17.14 %
- 6. IRR = 36.43 %
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