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Average Rate of Return, Cash Payback Period, Net Present Value Method for a Service Company Spanish Peaks Railroad Inc. is considering acquiring equipment at a cost of $172,000. The equipment has an estimated life of 10 years and no residual value. It is expected to provide yearly net cash flows of $43,000. The company's minimum desired rate of return for net present value analysis is 15%. Present Value of an Annuity of $1 at Compound Interest Year 6% 10% 12% 15% 20% 1 0.943 0.909 0.893 0.870 0.833 2 1.833 1.736 1.690 1.626 1.528 3 2.673 2.487 2.402 2.283 2.106 4 3.465 3.170 3.037 2.855 2.589 5 4.212 3.791 3.605 3.353 2.991 6 4.917 4.355 4.111 3.785 3.326 7 5.582 4.868 4.564 4.160 3.605 8 6.210 5.335 4.968 4.487 3.837 9 6.802 5.759 5.328 4.772 4.031 10 7.360 6.145 5.650 5.019 4.192 Compute the following: a. The average rate of return, giving effect to straight-line depreciation on the investment. If required, round your answer to one decimal place. 30 % b. The cash payback period. 4 years c. The net present value. Use the above table of the present value of an annuity of $1. Round to the nearest dollar. If required, use a minus sign to indicate negative net present value for current grading purpose. Present value of annual net cash flows 215,817 Amount to be invested 170,000 X Net present value 45,817 x Net Present Value Method-Annuity for a Service Company Amenity Hotels Inc. is considering the construction of a new hotel for $63 million. The expected life of the hotel is 6 years with no residual value. The hotel is expected to earn revenues of $19 million per year. Total expenses, including depreciation, are expected to be $13 million per year. Amenity Hotels' management has set a minimum acceptable rate of return of 11%. a. Determine the equal annual net cash flows from operating the hotel. Enter your answer in million. Round your answer to two decimal places. $ 16.5 million Present Value of an Annuity of $1 at Compound Interest Periods 8% 9% 10% 11% 12% 13% 14% 1 0.92593 0.91743 0.90909 0.90090 0.89286 0.88496 0.87719 2 1.78326 1.75911 1.73554 1.71252 1.69005 1.66810 1.64666 3 2.57710 2.53129 2.48685 2.44371 2.40183 2.36115 2.32163 4 3.31213 3.23972 3.16987 3.10245 3.03735 2.97447 2.91371 5 3.99271 3.88965 3.79079 3.69590 3.60478 3.51723 3.43308 6 4.62288 4.48592 4.35526 4.23054 4.11141 3.99755 3.88867 7 5.20637 5.03295 4.86842 4.71220 4.56376 4.42261 4.28830 8 5.74664 5.53482 5.33493 5.14612 4.96764 4.79677 4.63886 9 6.24689 5.99525 5.75902 5.53705 5.32825 5.13166 4.94637 10 6.71008 6.41766 6.14457 5.88923 5.65022 5.42624 5.21612 b. Compute the net present value of the new hotel, using the present value of an annuity of $1 table above. Round to the nearest million dollars. If required, use the minus sign to indicate a negative net present value. Net present value of hotel project: $ million c. Does your analysis support construction of the new hotel? Yes, because the net present value is positive Internal Rate of Return Method The internal rate of return method is used by Testerman Construction Co. in analyzing a capital expenditure proposal that involves an investment of $67,305 and annual net cash flows of $15,000 for each of the eight years of its useful life. Present Value of an Annuity of $1 at Compound Interest Year 6% 10% 12% 15% 20% 1 0.943 0.909 0.893 0.870 0.833 2 1.833 1.736 1.690 1.626 1.528 3 2.673 2.487 2.402 2.283 2.106 4 3.465 3.170 3.037 2.855 2.589 5 4.212 3.791 3.605 3.353 2.991 6 4.917 4.355 4.111 3.785 3.326 7 5.582 4.868 4.564 4.160 3.605 8 6.210 5.335 4.968 4.487 3.837 9 6.802 5.759 5.328 4.772 4.031 10 7.360 6.145 5.650 5.019 4.192 a. Determine a present value factor for an annuity of $1 which can be used in determining the internal rate of return. If required, round your answer to three decimal places. b. Using the factor determined in part (a) and the present value of an annuity of $1 table above, determine the internal rate of return for the proposal. %
