Spanish Peaks Railroad Inc. is considering acquiring equipment at a cost of $1,250,000. The equipment has an estimated life of eight years and no residual value. It is expected to provide yearly net cash flows of $312,500. The company’s minimum desired rate of return for net present value analysis is 12%. 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. fill in the blank 1% b.  The cash payback period.   c.  The net present value. Use the above table of the present value of an annuity of $1. Round to the nearest dollar. Present value of annual net cash flows $fill in the blank 3 Amount to be invested $fill in the blank 4 Net present value $fill in the blank 5

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Present Value

Present value (PV) is defined as the current or present value of all future sums of cash flow or money at a specified rate of return. This rate of return is known as the discounted rate, which is essentially the interest rate, discounted over some time. The expected cash flows are discounted at a discount rate to compute the present value. The higher the discount rate, the higher the future value (FV), but the lower the present value.