Net Present Value (NPV)
也称为: NPV Formula
NPV = \sum_{t=0}^{N} \frac{C_t}{(1+r)^t}
NPV = Σ Ct / (1+r)^t它计算什么
Evaluates the profitability of an investment by summing the present values of all future cash flows. A positive NPV means the investment creates value.
变量
| 象征 | 姓名 | 描述 |
|---|---|---|
| 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 |
工作示例
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 = $1,372结果: $1,372
尝试计算器
相关公式
#investment#capital budgeting#valuation