Machine Replacement 4564Bc
1. **State the problem:**
Calculate the initial cash outflow when replacing an old machine with a new one, considering costs, sales increase, scrap cost decrease, tax effects, depreciation, and investment tax credits (ITC).
2. **Identify given data:**
- Old machine cost: 100000
- Old machine life: 10 years
- Old machine age: 5 years (remaining life 5 years)
- Old machine salvage value: 0
- Old machine current sale price: 50000
- New machine cost: 200000
- New machine life: 10 years
- Increase in sales: 25000 per year
- Decrease in scrap cost: 10000 per year
- Tax rate: 50% (0.5)
- ITC rate: 10% (0.1)
- Depreciation method: straight-line on 100% cost
3. **Calculate book value of old machine:**
Depreciation per year old = $\frac{100000}{10} = 10000$
Accumulated depreciation = $10000 \times 5 = 50000$
Book value = $100000 - 50000 = 50000$
4. **Calculate ITC on old machine and ITC to be returned:**
Original ITC on old machine = $0.1 \times 100000 = 10000$
Remaining life fraction = $\frac{5}{10} = 0.5$
ITC to be returned = $10000 \times 0.5 = 5000$
5. **Calculate after-tax proceeds from sale of old machine:**
Gain or loss on sale = Sale price - Book value = $50000 - 50000 = 0$
Tax effect on sale = $0 \times 0.5 = 0$
After-tax sale proceeds = Sale price - ITC to be returned - Tax effect = $50000 - 5000 - 0 = 45000$
6. **Calculate ITC on new machine:**
ITC new = $0.1 \times 200000 = 20000$
7. **Calculate initial cash outflow:**
Initial outflow = Cost of new machine - ITC new - After-tax sale proceeds
Initial outflow = $200000 - 20000 - 45000 = 135000$
**Final answer:**
The initial cash outflow generated by the machine replacement is **135000**.