Question
Required: 1. Determine for each of years 0 though 5 (inclusive) the after-tax cash flows for items that differ between the two alternatives. (Chart Below)
Required:
1. Determine for each of years 0 though 5 (inclusive) the after-tax cash flows for items that differ between the two alternatives. (Chart Below)
2. Compute the payback period (in years) for purchasing RoboDril 1010K rather than having AccuDril X10 overhauled in 2 years. Assume for this calculation only that all cash flows (other than those related to the net acquisition cost of the replacement asset)including tax effectsoccur evenly throughout the year. Payback Period = __________________ years.
3. Using results generated in requirement 1, what is the present value of each decision alternative, keep vs. replace? (Chart Below)
Table 1:
The management of Devine Instrument Company is considering the purchase of a new drilling machine, model RoboDril 1010K. According to the specifications and testing results, Robo Dril will substantially increase productivity over AccuDril X10, the machine Devine is currently using. The AccuDril was acquired 8 years ago for $110,000 and is being depreciated using the straight-line method over a 10- year expected life and an estimated salvage value of $20,000. The engineering department expects the AccuDril to keep going for another 3 years after a major overhaul at the end of its expected useful life. The estimated cost for the overhaul is $90,000. The overhauled machine will be depreciated using straight-line depreciation with no salvage value. The overhaul will improve the machine's operating efficiency approximately 15% for each of years 3, 4, and 5. No other operating conditions will be affected by the overhaul. RoboDril 1010K is selling for $220,000. Installing, testing, rearranging, and training will cost another $10,000. The manufacturer is willing to take the AccuDril as a trade-in for $20,000. The RoboDril will be depreciated using the straight- line method with no salvage value. New technology most likely will make RoboDril obsolete to the firm in 5 years. Variable operating cost for either machine is the same: $8 per machine hour (cash-based). Other pertinent data follow: AccuDril X10 10,000 8,000 $ 100 RoboDril 1010K 10,000 4,000 $ 100 Units of output (per year) Machine hours Selling price per unit Variable manufacturing cost-cash-based (not including machine hours) Other annual expenses (tooling and supervising) Disposal value-today Disposal value-in 5 years $ 25 $85,000 $25,000 $ $ 25 $55,000 $30,000 Devine Instrument Company's weighted-average cost of capital (WACC) is 11%, and it is in the 40% tax bracket. Use the PV factors (Appendix C, Table 1) for calculating the NPV of each decision alternative. After-tax Cash Flows PV of Net Cash Outflows 0 1 2 3 5 Overhaul Accu Dril After-tax cash operating cost Overhaul cost (capitalized) Tax savings on depreciation (straight-line method) Other cash expenses, after tax After-tax cash flows Total PV Buy RoboDril 1010k Net equipment purchase After-tax cash operating cost Tax savings on depreciation Other cash expenses, after tax After-tax salvage value After-tax cash flows Total PV PV Difference in cash flows between alternatives TABLE 1 Present Value of $1 Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 20% 25% 30% 1 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 0.855 0.877 0.870 0.833 0.500 0.769 2 0.925 0.907 0.590 0.873 0.857 0.542 0.826 0.812 0.797 0.783 0.769 0.756 0.694 0.640 0.592 3 0.889 0.364 0.540 0.816 0.794 0.772 0.751 0.731 0.712 0.693 0.675 0.658 0.579 0.512 0.455 4 0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.659 0.636 0.613 0.592 0.572 0.482 0.410 0.350 5 0.822 0.784 0.747 0.713 0.681 0.650 0.621 0.593 0.567 0.543 0.519 0.497 0.402 0.328 0.269 6 0.790 0.746 0.705 0.666 0.630 0.596 0.564 0.535 0.507 0.480 0.456 0.432 0.335 0.262 0.207 7 0.760 0.711 0.665 0.623 0.583 0.547 0.513 0.482 0.452 0.425 0.400 0.376 0.279 0.210 0.159 S 0.731 0.677 0.627 0.582 0.540 0.502 0.467 0.434 0.404 0.376 0.351 0.327 0.233 0.168 0.123 9 0.703 0.645 0.592 0.544 0.500 0.460 0.424 0.391 0.361 0.333 0.308 0.284 0.194 0.134 0.094 10 0.676 0.614 0.558 0.505 0.463 0.422 0.356 0.352 0.322 0.295 0.270 0.247 0.162 0.107 0.073 11 0.650 0.585 0.527 0.475 0.429 0.358 0.350 0.317 0.287 0.261 0.237 0.215 0.135 0.056 0.056 12 0.625 0.557 0.497 0.444 0.397 0.356 0.319 0.256 0.257 0.231 0.205 0.157 0.112 0.069 0.043 13 0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.25% 0.229 0.204 0.152 0.163 0.093 0.055 0.033 14 0.577 0.505 0.442 0.35S 0.340 0.299 0.263 0.232 0.205 0.181 0.160 0.141 0.078 0.044 0.025 15 0.555 0.481 0.417 0.362 0.315 0.275 0.239 0.209 0.183 0.160 0.140 0.123 0.065 0.035 0.020 16 0.534 0.458 0.394 0.339 0.292 0.252 0.215 0.15 0.163 0.141 0.123 0.107 0.054 0.028 0.015 17 0.513 0.436 0.371 0.317 0.270 0.231 0.19 0.170 0.146 0.125 0.105 0.093 0.045 0.023 0.012 18 0.494 0.416 0.350 0.296 0.250 0.212 0.150 0.153 0.130 0.111 0.095 0.081 0.035 0.018 0.009 19 0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.138 0.116 0.098 0.053 0.070 0.031 0.014 0.007 0.456 0.377 0.312 0.25% 0.215 0.178 0.149 0.124 0.104 0.087 0.073 0.061 0.026 0.012 0.005 22 0.422 0.342 0.278 0.226 0.154 0.150 0.123 0.101 0.053 0.068 0.056 0.046 0.018 0.007 0.003 24 0.390 0.310 0.247 0.197 0.158 0.126 0.102 0.082 0.066 0.053 0.043 0.035 0.013 0.005 0.002 25 0.375 0.295 0.233 0.184 0.146 0.116 0.092 0.074 0.059 0.047 0.035 0.030 0.010 0.004 0.001 30 0.308 0.231 0.174 0.131 0.099 0.075 0.057 0.044 0.033 0.026 0.020 0,015 0.004 0.001 0.000 35 0.253 0.151 0.130 0.094 0.068 0.049 0.036 0.026 0.019 0.014 0.010 0.008 0.002 0.000 0.000 40 0.205 0.142 0.097 0.067 0.046 0.032 0.022 0.015 0.011 0.008 0.005 0.004 0.001 0.000 0.000 20 Note: The present value (PV) factor for N periods and rate 7 per period =1=(1+r. For example, the PV factor for 10%. 5 years = 1 = (1 + 0.10)3= 0.621 (rounded)Step by Step Solution
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