ANSWER
| Cash flow (in case of SLM) | ||||||
| Incremental cash flow | $130,000 | |||||
| Less: Depreciation (260000-20000)/4 | 60000 | |||||
| Incremental Income before tax | $70,000 | |||||
| Income tax (30%) | $21,000 | |||||
| Incremental net income | $49,000 | |||||
| Add: Depreciation D | 60000 | |||||
| Incremental cash flow | $109,000 | |||||
| a) NPV | ||||||
| Incremental cash flow | 109000 | |||||
| PVIFA(10%,4) | 3.16987 | |||||
| PV of incremental cash flow A | 345516 | |||||
| PV of salvage 20000*.68301 B | 13660 | |||||
| Total pV A+B | 359176 | |||||
| Less: Initial investment | $260,000 | |||||
| NPV | $99,176 | |||||
| present value index of the investment, | ||||||
| 359176/260000 | 1.38 | |||||
| b) | Year 1 | Year 2 | Year 3 | Year 4 | ||
| Incremental cash flow | $130,000 | $130,000 | $130,000 | $130,000 | ||
| Less: depreciation | 130000 | 65000 | 32500 | 12500 | ||
| Incremental Income before tax | $0 | $65,000 | $97,500 | $117,500 | ||
| Income tax (30%) | $0 | $19,500 | $29,250 | $35,250 | ||
| Incremental net income | $0 | $45,500 | $68,250 | $82,250 | ||
| Add: Depreciation D | 130000 | 65000 | 32500 | 12500 | ||
| Incremental cash flow | $130,000 | $110,500 | $100,750 | $94,750 | ||
| a) NPV | ||||||
| Incremental cash flow | 130000 | 110500 | 100750 | 94750 | Total | |
| PVIFA(10%,4) | 0.9091 | 0.8264 | 0.7513 | 0.6830 | ||
| PV of incremental cash flow A | 118182 | 91322 | 75695 | 64716 | 349915 | |
| Less: Initial investment | -260000 | |||||
| Add: PV of salvage 20000*.68301 B | 13660 | |||||
| NPV | 103575 | |||||
| present value index of the investment, | ||||||
| (349915+13660)/260000 | 1.40 | |||||
| DDB rate=1/4*200% | 0.5 | |||||
| Year | Beg bal | Dep rate | Dep exp | Acc dep | End bal | |
| 1 | 260000 | 50% | 130000 | 130000 | 130000 | |
| 2 | 130000 | 50% | 65000 | 195000 | 65000 | |
| 3 | 65000 | 50% | 32500 | 227500 | 32500 | |
| 4 | 32500 | 50% | 12500 | 240000 | 20000 | |
| (32500*50%)-3750 | ||||||
| ans c | ||||||
| Payback period | ||||||
| 260000/109000 | 2.39 | years | ||||
| Rate of return | 35.00 | % | ||||
| 49000/((260000+20000)/2)*100 | ||||||
| ans d | ||||||
| b) | Year 0 | Year 1 | Year 2 | Year 3 | Year 4 | Total |
| Incremental cash flow | $130,000 | $130,000 | $130,000 | $130,000 | ||
| Less: depreciation | 130000 | 65000 | 32500 | 12500 | ||
| Incremental Income before tax | $0 | $65,000 | $97,500 | $117,500 | ||
| Income tax (30%) | $0 | $19,500 | $29,250 | $35,250 | ||
| Incremental net income | $0 | $45,500 | $68,250 | $82,250 | $196,000 | |
| Add: Depreciation D | 130000 | 65000 | 32500 | 12500 | ||
| Incremental cash flow | -260000 | $130,000 | $110,500 | $100,750 | $94,750 | |
| Cumulative cash flow | ($130,000) | ($19,500) | $81,250 | $176,000 | ||
| Pay back period | ||||||
| 2+(19500/110500) | 2.18 | years | ||||
| Unadjusted Rate of return | ||||||
| 49000/((260000+20000)/2)*100 | 35 | % | ||||
| Average income | ||||||
| 196000/4 | $49,000 | |||||
| ***As factor table not given hence upto 5 decimal discount factor is taken |
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