In: Accounting
15 Lamar Company is considering a project that would have an eight-year life and require a $2,700,000 investment in equipment. At the end of 7 years, the project would terminate and the equipment would have no salvage value. The project would provide net operating income each year as follows: The company's discount rate is 11%. Sales ……………………………………………………………………………………………………………… $3,000,000 Variable expenses ………………………………………………………………………………………… 1,800,000 Contribution margin ……………………………………………………………………………………….. 1,200,000 Fixed expenses Advertising, salaries, and other fixed out-of-pocket costs …. $600,000 Depreciation ………………………………………………………………………….. 355,000 Total fixed expenses ……………………………………………………………………………………. 955,000 Net Operating Income ………………………………………………………………………………….. $245,000
A. Compute the net annual cash inflow from the project. B. Compute the project's net present value . Is the project acceptable? C. Find the project's internal rate of return to the nearest whole percent. D. Comput the project's payback period. E. Compute the project's simple rate of return.
| Answer B | ||||||||||
| Project's Net present value | ||||||||||
| Year | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | NPV | |
| Initial Investment | -$2,700,000 | |||||||||
| Net annual cash flow | $600,000 | $600,000 | $600,000 | $600,000 | $600,000 | $600,000 | $600,000 | |||
| Net Cash flow | -$2,700,000 | $600,000 | $600,000 | $600,000 | $600,000 | $600,000 | $600,000 | $600,000 | ||
| Discount Factor @ 11% | 1 | 0.9009009 | 0.81162243 | 0.73119138 | 0.65873097 | 0.59345133 | 0.53464084 | 0.48165841 | ||
| Present Value | -$2,700,000 | $540,541 | $486,973 | $438,715 | $395,239 | $356,071 | $320,785 | $288,995 | $127,318 | |
| Project's NPV | $127,318 | |||||||||
| The project is acceptable as it has positive NPV. | ||||||||||
| Answer C | ||||||||||
| Internal rate of return (IRR) = | 12.45% | |||||||||
| Answer D | ||||||||||
| Project's Payback period = 4 years + ($300000/$600000) = 4.5 years | ||||||||||
| Answer E | ||||||||||
| Project's simple rate of return = Net operating Income / Initial Investment = $245000 / $2700000 = 9.07% | ||||||||||