It is being decided whether or not to replace an existing piece of equipment with a newer, more productive one that costs $70,000 and has an estimated MV of $20,000 at the end of its useful life of six years. Installation charges for the new equipment will amount to $4,000; this is not added to the capital investment but will be an expensed item during the first year of operation. MACRS (GDS) depreciation (5-year property class) will be used. The new equipment will reduce direct costs (labor, maintenance, rework, etc.) by $11,000 in the first year, and this amount is expected to increase by $600 each year thereafter during its six-year life. It is also known that the BV of the fully depreciated old machine is so but that its present fair MV is $16,000. The MV of the old machine will be zero in six years. The effective income tax rate is 30%. a. Determine the prospective after-tax incremental cash flow associated with the new equipment if it is believed that the existing machine could perform satisfactorily for six more years. b. Assume that the after-tax MARR is 18% per year. Based on the ERR method, should you replace the defender with the challenger? Assume e = MARR. 1 GDS Recovery Rates (tk) Year 5-year Property Class 0.2000 2. 0.3200 3 0.1920 4 0.1152 5 0.1152 6 0.0576 N 1 2 3 4 5 6 7 8 9 10 Discrete Compounding; 1 = 18% Single Payment Uniform Series Compound Compound Sinking Amount Present Amount Present Fund Factor Worth Factor Factor Worth Factor Factor To Find F To Find P To Find F To Find P To Find A Given P Given F Given A Given A Given F FIP PIF FIA PIA AIF 1.1800 0.8475 1.0000 0.8475 1.0000 1.3924 0.7182 2.1800 1.5656 0.4587 1.6430 0.6086 3.5724 2.1743 0.2799 1.9388 0.5158 5.2154 2.6901 0.1917 2.2878 0.4371 7.1542 3.1272 0.1398 2.6996 0.3704 9.4420 3.4976 0.1059 3.1855 0.3139 12.1415 3.8115 0.0824 3.7589 0.2660 15.3270 4.0776 0.0652 4.4355 0.2255 19.0859 4.3030 0.0524 5.2338 0.1911 23.5213 4.4941 0.0425 Capital Recovery Factor To Find A Given P AIP 1.1800 0.6387 0.4599 0.3717 0.3198 0.2859 0.2624 0.2452 0.2324 0.2225