In: Finance
TechSquare. LLC. is considering a 5-year new project. The project will require $325,000 for fixed assets and $95000 of working capital. The fixed assets will be depreciated straight-line to a zero-book value over 5 year. At the end of the project, the fixed assets can be sold for 25% of their original cost. The project is expected to generate annual sales of $554,000 with costs of $430,000. The tax rate is 21% and the required rate of return is 15%. What are the NPV and PI of this project? (5pts) Question 2 - TechSquare. LLC. is considering a 5-year new project. The project will require $325,000 for fixed assets and $95000 of working capital. The fixed assets will be depreciated straight-line to a zero-book value over 5 year. At the end of the project, the fixed assets can be sold for 25% of their original cost. The project is expected to generate annual sales of $554,000 with costs of $430,000. The tax rate is 21% and the required rate of return is 15%. What are the NPV and PI of this project?
| Tax rate | 21% | ||||||
| Calculation of annual depreciation | |||||||
| Depreciation | Year-1 | Year-2 | Year-3 | Year-4 | Year-5 | Total | |
| Cost | $ 325,000 | $ 325,000 | $ 325,000 | $ 325,000 | $ 325,000 | ||
| Dep Rate | 20.00% | 20.00% | 20.00% | 20.00% | 20.00% | ||
| Depreciation | Cost * Dep rate | $ 65,000 | $ 65,000 | $ 65,000 | $ 65,000 | $ 65,000 | $ 325,000 | 
| Calculation of after-tax salvage value | |||||||
| Cost of machine | $ 325,000 | ||||||
| Depreciation | $ 325,000 | ||||||
| WDV | Cost less accumulated depreciation | $ - | |||||
| Sale price | $ 81,250 | 325000*25% | |||||
| Profit/(Loss) | Sale price less WDV | $ 81,250 | |||||
| Tax | Profit/(Loss)*tax rate | $ 17,063 | |||||
| Sale price after-tax | Sale price less tax | $ 64,188 | |||||
| Calculation of annual operating cash flow | |||||||
| Year-1 | Year-2 | Year-3 | Year-4 | Year-5 | |||
| Sale | $ 554,000 | $ 554,000 | $ 554,000 | $ 554,000 | $ 554,000 | ||
| Less: Operating Cost | $ 430,000 | $ 430,000 | $ 430,000 | $ 430,000 | $ 430,000 | ||
| Contribution | $ 124,000 | $ 124,000 | $ 124,000 | $ 124,000 | $ 124,000 | ||
| Less: Depreciation | $ 65,000 | $ 65,000 | $ 65,000 | $ 65,000 | $ 65,000 | ||
| Profit before tax (PBT) | $ 59,000 | $ 59,000 | $ 59,000 | $ 59,000 | $ 59,000 | ||
| Tax@21% | PBT*Tax rate | $ 12,390 | $ 12,390 | $ 12,390 | $ 12,390 | $ 12,390 | |
| Profit After Tax (PAT) | PBT - Tax | $ 46,610 | $ 46,610 | $ 46,610 | $ 46,610 | $ 46,610 | |
| Add Depreciation | PAT + Dep | $ 65,000 | $ 65,000 | $ 65,000 | $ 65,000 | $ 65,000 | |
| Cash Profit after-tax | $ 111,610 | $ 111,610 | $ 111,610 | $ 111,610 | $ 111,610 | ||
| Calculation of NPV | |||||||
| 15.00% | |||||||
| Year | Capital | Working capital | Operating cash | Annual Cash flow | PV factor, 1/(1+r)^time | Present values | |
| 0 | $ (325,000) | $ (95,000) | $ (420,000) | 1.0000 | $ (420,000) | ||
| 1 | $ 111,610 | $ 111,610 | 0.8696 | $ 97,052 | |||
| 2 | $ 111,610 | $ 111,610 | 0.7561 | $ 84,393 | |||
| 3 | $ 111,610 | $ 111,610 | 0.6575 | $ 73,385 | |||
| 4 | $ 111,610 | $ 111,610 | 0.5718 | $ 63,813 | |||
| 5 | $ 64,188 | $ 95,000 | $ 111,610 | $ 270,798 | 0.4972 | $ 134,634 | |
| Net Present Value | $ 33,278 | ||||||
| Calculation of PI | Sum of PV of inflows/Outflow | ||||||
| Calculation of PI | 453278.35/420000 | ||||||
| Calculation of PI | 1.08 |