Net Investment 6D6Be1
1. **Problem Statement:** TelCo must decide whether to replace a computer system with a new model. The new computer costs 1,000,000 and TelCo is eligible for a 15% investment tax credit (ITC). The old computer can be sold for 450,000, originally cost 1,250,000, and is three years old with a five-year straight-line depreciation to zero salvage value. The cost of capital is 12%, and the tax rate is 35%. Forecasted before-tax cost savings over five years are 350,000 for years 1 and 2, and 300,000 for years 3 to 5.
2. **Calculate Net Investment Required:**
- ITC = 15% of 1,000,000 = 150,000
- Book value of old computer = Original cost - Accumulated depreciation
- Annual depreciation = 1,250,000 / 5 = 250,000
- Accumulated depreciation for 3 years = 3 × 250,000 = 750,000
- Book value = 1,250,000 - 750,000 = 500,000
- Gain/loss on sale = Sale price - Book value = 450,000 - 500,000 = -50,000 (loss)
- Tax shield on loss = 35% × 50,000 = 17,500
- After-tax salvage value = Sale price + Tax shield = 450,000 + 17,500 = 467,500
- Net investment = Cost of new computer - ITC - After-tax salvage value = 1,000,000 - 150,000 - 467,500 = 382,500
3. **Estimate Incremental Operating Cash Flows:**
- Annual before-tax savings: Years 1-2 = 350,000; Years 3-5 = 300,000
- Depreciation on new computer = 1,000,000 / 5 = 200,000 per year
- Taxable savings = Before-tax savings - Depreciation
- Tax on savings = Taxable savings × 35%
- After-tax savings = Before-tax savings - Tax on savings
- Add back depreciation (non-cash expense) to get operating cash flow
Calculate for each year:
Year 1-2:
Taxable savings = 350,000 - 200,000 = 150,000
Tax = 150,000 × 0.35 = 52,500
After-tax savings = 350,000 - 52,500 = 297,500
Operating cash flow = 297,500 + 200,000 = 497,500
Year 3-5:
Taxable savings = 300,000 - 200,000 = 100,000
Tax = 100,000 × 0.35 = 35,000
After-tax savings = 300,000 - 35,000 = 265,000
Operating cash flow = 265,000 + 200,000 = 465,000
4. **Decision on Purchase Considering Salvage Value:**
- Salvage value at end of year 5 = 100,000
- Book value at year 5 = 0 (fully depreciated)
- Gain on sale = 100,000 - 0 = 100,000
- Tax on gain = 100,000 × 0.35 = 35,000
- After-tax salvage value = 100,000 - 35,000 = 65,000
5. **Summary Table of Cash Flows:**
| Year | Before-tax Savings | Depreciation | Taxable Savings | Tax (35%) | After-tax Savings | Operating Cash Flow |
|-------|--------------------|--------------|-----------------|-----------|-------------------|--------------------|
| 1 | 350,000 | 200,000 | 150,000 | 52,500 | 297,500 | 497,500 |
| 2 | 350,000 | 200,000 | 150,000 | 52,500 | 297,500 | 497,500 |
| 3 | 300,000 | 200,000 | 100,000 | 35,000 | 265,000 | 465,000 |
| 4 | 300,000 | 200,000 | 100,000 | 35,000 | 265,000 | 465,000 |
| 5 | 300,000 | 200,000 | 100,000 | 35,000 | 265,000 | 465,000 |
6. **Conclusion:**
- Net investment required is 382,500
- Annual operating cash flows are 497,500 for years 1 and 2, and 465,000 for years 3 to 5
- At the end of year 5, an after-tax salvage value of 65,000 is expected
- TelCo should compare the net present value (NPV) of these cash flows at 12% cost of capital to decide on purchase (not requested here but recommended)
Final answers:
- Net investment required: 382,500
- Operating cash flows: 497,500 (years 1-2), 465,000 (years 3-5)
- After-tax salvage value: 65,000