Npv Calculation 858Ba8
1. **State the problem:** Calculate the Net Present Value (NPV) of a project with an initial outflow of 65000, cash flow in Year 1 of 22000, increasing by 5% each year for Years 2 and 3, and a discount rate of 11%.
2. **Formula for NPV:**
$$\text{NPV} = -C_0 + \frac{C_1}{(1+r)^1} + \frac{C_2}{(1+r)^2} + \frac{C_3}{(1+r)^3}$$
where $C_0$ is initial investment, $C_t$ is cash flow at year $t$, and $r$ is discount rate.
3. **Calculate cash flows:**
- Year 1: $C_1 = 22000$
- Year 2: $C_2 = 22000 \times 1.05 = 23100$
- Year 3: $C_3 = 23100 \times 1.05 = 24255$
4. **Calculate present values:**
- $PV_1 = \frac{22000}{(1+0.11)^1} = \frac{22000}{1.11} \approx 19819.82$
- $PV_2 = \frac{23100}{(1.11)^2} = \frac{23100}{1.2321} \approx 18743.88$
- $PV_3 = \frac{24255}{(1.11)^3} = \frac{24255}{1.3676} \approx 17733.95$
5. **Calculate NPV:**
$$\text{NPV} = -65000 + 19819.82 + 18743.88 + 17733.95 = -65000 + 56297.65 = -8702.35$$
6. **Interpretation:** The NPV is approximately -8702.35, which means the project is expected to lose value and is not financially attractive.
**Final answer:** The closest option is -8696.66.