1. **Problem Statement:** Company F can invest now or delay investment by 1 year. We need to decide which option yields a higher Net Present Value (NPV).
2. **Given Data:**
- Initial outlay now: 100,000
- Expected cash flows if invest now: 60,000 at Year 1, 80,000 at Year 2
- Expected cash flows if delay 1 year: 70,000 at Year 2, 90,000 at Year 3
- Discount rate: 10% (0.10)
3. **Formula for NPV:**
$$\text{NPV} = \sum_{t=1}^n \frac{CF_t}{(1+r)^t} - \text{Initial Outlay}$$
where $CF_t$ is cash flow at year $t$, $r$ is discount rate.
4. **Calculate NPV if invest now:**
$$\text{NPV}_{now} = -100,000 + \frac{60,000}{(1+0.10)^1} + \frac{80,000}{(1+0.10)^2}$$
Calculate each term:
$$\frac{60,000}{1.10} = 54,545.45$$
$$\frac{80,000}{1.10^2} = \frac{80,000}{1.21} = 66,115.70$$
Sum:
$$-100,000 + 54,545.45 + 66,115.70 = 20,661.15$$
5. **Calculate NPV if delay 1 year:**
Initial outlay is delayed by 1 year, so it occurs at Year 1, discounted back to present:
$$\text{NPV}_{delay} = -\frac{100,000}{(1+0.10)^1} + \frac{70,000}{(1+0.10)^2} + \frac{90,000}{(1+0.10)^3}$$
Calculate each term:
$$-\frac{100,000}{1.10} = -90,909.09$$
$$\frac{70,000}{1.21} = 57,851.24$$
$$\frac{90,000}{1.331} = 67,591.44$$
Sum:
$$-90,909.09 + 57,851.24 + 67,591.44 = 34,533.59$$
6. **Decision:**
Since $$\text{NPV}_{delay} = 34,533.59 > \text{NPV}_{now} = 20,661.15$$, Company F should delay investment by 1 year.
**Final answer:** Delay investment by 1 year for higher NPV.
Investment Timing 90C114
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