Net Present Value (NPV)
Auch bekannt als: NPV Formula
NPV = \sum_{t=0}^{N} \frac{C_t}{(1+r)^t}
NPV = Σ Ct / (1+r)^tWas es berechnet
Evaluates the profitability of an investment by summing the present values of all future cash flows. A positive NPV means the investment creates value.
Variablen
| Symbol | Name | Beschreibung |
|---|---|---|
| NPV | Net Present Value | The difference between the present value of cash inflows and outflows |
| C_t | Cash Flow at time t | Net cash flow during period t (negative for initial investment) |
| r | Discount Rate | Rate of return required |
| N | Total Periods | Number of time periods |
Ausgearbeitete Beispiele
1
PV of Year 1: 3000/1.10 = 27272
PV of Year 2: 3000/1.21 = 24793
PV of Year 3: 3000/1.331 = 22544
PV of Year 4: 3000/1.4641 = 20495
PV of Year 5: 3000/1.6105 = 18636
NPV = -10000 + 2727 + 2479 + 2254 + 2049 + 1863 = $1,372Ergebnis: $1,372
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Verwandte Formeln
#investment#capital budgeting#valuation