Firm Y has the opportunity to invest in a new venture. The projected cash flows are as follows:
Year 0: Initial cash investment in the project of $300,000.
Years 1, 2, and 3: Generate cash revenues of $50,000.
Years 1, 2, and 3: Incur fully deductible cash expenditures of $30,000.
Year 3: Incur nondeductible cash expenditure of $10,000.
Year 3: Receive $300,000 cash as a return of the initial investment.
Assuming a 6 percent discount rate and a 30 percent marginal tax rate, compute the NPV of the cash flows resulting from investment in this opportunity. Use Appendix A and Appendix B. (Round discount factor(s) to 3 decimal places. Cash outflows and negative amounts should be indicated by a minus sign.)
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Year | 0 | 1 | 2 | 3 |
Initial cash investment | -300000 | |||
cash revenue | 50000 | 50000 | 50000 | |
less deductible expenditure | ||||
less non deductible expenditure | 10000 | |||
operating profit | 20000 | 20000 | 10000 | |
less tax -30% | 6000 | 6000 | 3000 | |
after tax profit | 14000 | 14000 | 7000 | |
add deductible expenditure | 30000 | 30000 | 30000 | |
cash recovery from project | 300000 | |||
net operating cash flow | -300000 | 30000 | 30000 | 330000 |
present value of cash flow = cash flow/(1+r)^n r = | -300000 | 28301.88679 | 26699.8932 | 277074.3634 |
Net present value =sum of present value of cash flow | 32076.14339 |
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