Universal Electronics is considering the purchase of manufacturing equipment with a 10-year midpoint in its asset depreciation range (ADR). Carefully refer to Table 12-11 to determine in what depreciation category the asset falls. (Hint: It is not 10 years.) The asset will cost $120,000, and it will produce earnings before depreciation and taxes of $30,000 per year for three years, and then $20,000 a year for seven more years. The firm has a tax rate of 25 percent. Assume the cost of capital is 12 percent. In doing your analysis, if you have years in which there is no depreciation, merely enter a zero for depreciation. Use Table 12-12. Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods. a. Calculate the net present value. (Do not round intermediate calculations and round your answer to 2 decimal places.) Net present value b. Based on the net present value, should Universal Electronics purchase the asset? O Yes O No Table 12-11 Categories for depreciation write-off Class 3-year MACRS All property with ADR midpoints of four years or less. Autos and light trucks are excluded from this category. 5-year MACRS Property with ADR midpoints of more than 4, but less than 10 years. Key assets in this category include automobiles, light trucks, and techno- logical equipment such as computers and research-related properties. 7-year MACRS Property with ADR midpoints of 10 years or more, but less than 16 years. Most types of manufacturing equipment would fall into this category, as would office furniture and fixtures. 10-year MACRS Property with ADR midpoints of 16 years or more, but less than 20 years. Petroleum refining products, railroad tank cars, and manufactured homes fall into this group. 15-year MACRS Property with ADR midpoints of 20 years or more, but less than 25 years. Land improvement, pipeline distribution, telephone distribution, and sewage treatment plants all belong in this category. 20-year MACRS Property with ADR midpoints of 25 years or more (with the exception of real estate, which is treated separately). Key investments in this cat- egory include electric and gas utility property and sewer pipes. 27.5-year Residential rental property if 80% or more of the gross rental income is MACRS from nontransient dwelling units (e.g., an apartment building); low- income housing. 31.5-year Nonresidential real property that has no ADR class life or whose class MACRS life is 27.5 years or more. 39-year MACRS Nonresidential real property placed in service after May 12, 1993. Table 12-12 Depreciation percentages (expressed in decimals) Depreciation Year 3-Year MACRS 7-Year MACRS 10-Year MACRS 15-Year MACRS 20-Year MACRS 1 2 3 4 0.333 0.445 0.148 0.074 5-Year MACRS 0.200 0.320 0.192 0.115 0.115 0.058 0.100 0.180 0.144 0.115 0.143 0.245 0.175 0.125 0.089 0.089 0.089 0.045 0.050 0.095 0.086 0.077 0.069 BER 0.092 0.074 0.062 FERREREN 9 10 11 12 0.066 0.066 0.065 0.065 0.033 0.059 0.059 0.059 0.059 0.059 0.059 0.059 0.059 0.059 0.030 0.038 0.072 0.067 0.062 0.057 0.053 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.017 1.000 13 14 15 BER 16 17 18 19 20 21 1.000 1.000 1.000 1.000 1.000 Appendix B Present value of $1, PV 1 PV = FV [11+7)] Period 8% 4% 0.962 10% 0.909 11% 0.901 1 1% 0.990 0.980 0.971 5% 0.952 0.907 0.864 9% 0.917 0.842 0.772 2 0.925 0.889 3 4 5 6 7 8 9 10 11 2% 0.980 0.961 0.942 0.924 0.906 0.888 0.871 0.853 0.837 0.820 0.804 0.788 0.773 0.758 0.743 0.728 0.714 0.700 0.686 0.673 0.610 0.552 0.453 0.372 0.961 0.951 0.942 0.933 0.923 0.914 0.905 0.896 0.887 0.879 0.870 0.861 0.853 0.844 0.836 0.828 0.820 0.780 0.742 0.672 0.608 3% 0.971 0.943 0.915 0.888 0.863 0.837 0.813 0.789 0.766 0.744 0.722 0.701 0.681 0.661 0.642 0.623 0.605 0.587 0.570 0.554 0.478 0.412 0.307 0.228 0.855 0.822 0.790 0.760 0.731 0.703 0.676 0.650 0.625 0.601 0.577 0.555 0.534 0.513 0.494 0.475 12 13 Percent 6% 796 0.943 0.935 0.890 0.873 0.840 0.816 0.792 0.763 0.747 0.713 0.705 0.666 0.665 0.623 0.627 0.582 0.592 0.544 0.558 0.508 0.527 0.475 0.497 0.444 0.469 0.415 0.442 0.388 0.417 0.362 0.394 0.339 0.371 0.317 0.350 0.296 0.331 0.277 0.312 0.258 0.233 0.184 0.174 0.131 0.097 0.067 0.054 0.034 0.823 0.784 0.746 0.711 0.677 0.645 0.614 0.585 0.557 0.530 0.505 0.481 0.458 0.436 0.416 0.396 0.377 0.295 0.231 0.142 0.087 0.708 0.650 0.596 0.547 0.502 0.460 0.422 0.388 0.356 0.326 0.299 0.275 0.926 0.857 0.794 0.735 0.681 0.630 0.583 0.540 0.500 0.463 0.429 0.397 0.368 0.340 0.315 0.292 0.270 0.250 0.232 0.215 0.146 0.099 0.046 0.021 0.826 0.751 0.683 0.621 0.564 0.513 0.467 0.424 0.386 0.350 0.319 0.290 0.263 0.239 0.218 0.198 0.180 0.164 0.149 0.092 0.057 0.022 0.812 0.731 0.659 0.593 0.535 0.482 0.434 0.391 0.352 0.317 0.286 0.258 0.232 0.209 0.188 0.170 0.153 0.138 0.124 0.074 0.044 0.015 0.005 14 12% 0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404 0.361 0.322 0.287 0.257 0.229 0.205 0.183 0.163 0.146 0.130 0.116 0.104 0.059 0.033 0.011 0.003 15 16 17 0.252 0.231 0.212 0.194 18 19 20 25 30 0.456 0.375 0.308 0.208 0.141 0.178 0.116 0.075 0.032 0.013 40 50 0.009 Appendix B (concluded) Present value of $1 Percent Period 14% 17% 20% 25 30S 40% 13 0.885 15% 0.870 1 2 0.783 0.693 o o o w 16% 0.862 0.743 0.641 0.552 0.476 0.410 0.354 0.305 0.263 0.613 0.543 0.480 0.425 0.376 0.333 0.295 35% 0.741 0.549 0.406 0.301 0.223 0.165 0.122 0.091 .067 7 8 9 10 0.227 11 0.877 0.769 0.675 0.592 0.519 0.456 0.400 0.351 0.308 0.270 0.237 0.208 . 182 0.160 0.140 0.123 0.108 0.095 0.083 .073 .038 0.020 0.005 .001 0.756 0.658 0.572 0.497 0.432 0.376 0.327 0.284 0.247 0.215 0.187 0.163 0.141 0.123 0.107 0.093 0.081 0.070 0.061 0.030 0.015 0.004 0.001 0.261 0.231 0.204 12 13 0.855 0.731 0.624 0.534 0.456 0.390 0.333 0.285 0.243 0.208 0.178 0.152 0.130 0.111 0.095 0.081 0.069 0.059 0.051 0.043 0.020. 0.009 0.002 188 0.847 0.718 0.609 0.515 0.437 0.370 0.314 0.266 0.225 0.191 0.162 0.137 0.116 0.099 0.084 0.071 0.060 0.051 0.043 0.037 0.016 0.007 0.001 19% 0.840 0.706 0.593 0.499 0.419 0.352 0.296 0.249 0.209 0.176 0.148 0.124 0.104 0.088 0.074 0.062 0.052 0.044 0.037 0.031 0.013 0.005 0.001 50% 0.667 0.444 0.296 0.198 0.132 0.088 0.059 0.039 0.026 0.017 0.012 0.008 0.005 0.003 0.002 0.002 0.001 0.001 0.833 0.694 0.579 0.482 0.402 0.335 0.279 0.233 0.194 0.162 0.135 0.112 0.093 0.078 0.065 0.054 0.045 0.038 0.031 0.026 0.010 0.004 0.001 0.714 0.510 0.364 0.260 0.186 0.133 0.095 0.068 0.048 0.035 0.025 0.018 0.013 .009 0.006 0.005 0.003 0.002 0.002 0.001 0.800 0.640 0.512 0.410 0.328 0.262 0.210 0.168 0.134 0.107 0.086 0.069 0.055 0.044 0.035 0.028 0.023 0.018 0.014 0.012 0.004 0.001 0 0.769 0.592 0.455 0.350 0.269 0.207 0.159 0.123 0.094 0.073 0.056 0.043 0.033 0.025 0.020 0.015 0.012 0.009 0.007 0.005 0.001 0.195 0.168 0.145 0.125 0.108 0.093 0.080 0.069 0.060 0.051 0.024 0.012 0.003 0.001 14 15 .050 .037 0.027 0.020 0.015 0.011 0.008 0.006 0.005 0.003 0.002 0.001 16 17 0.181 0.160 0.141 0.125 0.111 0.098 0.087 0.047 0.026 0.008 0.002 18 19 20 25 30 40 50 Universal Electronics is considering the purchase of manufacturing equipment with a 10-year midpoint in its asset depreciation range (ADR). Carefully refer to Table 12-11 to determine in what depreciation category the asset falls. (Hint: It is not 10 years.) The asset will cost $120,000, and it will produce earnings before depreciation and taxes of $30,000 per year for three years, and then $20,000 a year for seven more years. The firm has a tax rate of 25 percent. Assume the cost of capital is 12 percent. In doing your analysis, if you have years in which there is no depreciation, merely enter a zero for depreciation. Use Table 12-12. Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods. a. Calculate the net present value. (Do not round intermediate calculations and round your answer to 2 decimal places.) Net present value b. Based on the net present value, should Universal Electronics purchase the asset? O Yes O No Table 12-11 Categories for depreciation write-off Class 3-year MACRS All property with ADR midpoints of four years or less. Autos and light trucks are excluded from this category. 5-year MACRS Property with ADR midpoints of more than 4, but less than 10 years. Key assets in this category include automobiles, light trucks, and techno- logical equipment such as computers and research-related properties. 7-year MACRS Property with ADR midpoints of 10 years or more, but less than 16 years. Most types of manufacturing equipment would fall into this category, as would office furniture and fixtures. 10-year MACRS Property with ADR midpoints of 16 years or more, but less than 20 years. Petroleum refining products, railroad tank cars, and manufactured homes fall into this group. 15-year MACRS Property with ADR midpoints of 20 years or more, but less than 25 years. Land improvement, pipeline distribution, telephone distribution, and sewage treatment plants all belong in this category. 20-year MACRS Property with ADR midpoints of 25 years or more (with the exception of real estate, which is treated separately). Key investments in this cat- egory include electric and gas utility property and sewer pipes. 27.5-year Residential rental property if 80% or more of the gross rental income is MACRS from nontransient dwelling units (e.g., an apartment building); low- income housing. 31.5-year Nonresidential real property that has no ADR class life or whose class MACRS life is 27.5 years or more. 39-year MACRS Nonresidential real property placed in service after May 12, 1993. Table 12-12 Depreciation percentages (expressed in decimals) Depreciation Year 3-Year MACRS 7-Year MACRS 10-Year MACRS 15-Year MACRS 20-Year MACRS 1 2 3 4 0.333 0.445 0.148 0.074 5-Year MACRS 0.200 0.320 0.192 0.115 0.115 0.058 0.100 0.180 0.144 0.115 0.143 0.245 0.175 0.125 0.089 0.089 0.089 0.045 0.050 0.095 0.086 0.077 0.069 BER 0.092 0.074 0.062 FERREREN 9 10 11 12 0.066 0.066 0.065 0.065 0.033 0.059 0.059 0.059 0.059 0.059 0.059 0.059 0.059 0.059 0.030 0.038 0.072 0.067 0.062 0.057 0.053 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.017 1.000 13 14 15 BER 16 17 18 19 20 21 1.000 1.000 1.000 1.000 1.000 Appendix B Present value of $1, PV 1 PV = FV [11+7)] Period 8% 4% 0.962 10% 0.909 11% 0.901 1 1% 0.990 0.980 0.971 5% 0.952 0.907 0.864 9% 0.917 0.842 0.772 2 0.925 0.889 3 4 5 6 7 8 9 10 11 2% 0.980 0.961 0.942 0.924 0.906 0.888 0.871 0.853 0.837 0.820 0.804 0.788 0.773 0.758 0.743 0.728 0.714 0.700 0.686 0.673 0.610 0.552 0.453 0.372 0.961 0.951 0.942 0.933 0.923 0.914 0.905 0.896 0.887 0.879 0.870 0.861 0.853 0.844 0.836 0.828 0.820 0.780 0.742 0.672 0.608 3% 0.971 0.943 0.915 0.888 0.863 0.837 0.813 0.789 0.766 0.744 0.722 0.701 0.681 0.661 0.642 0.623 0.605 0.587 0.570 0.554 0.478 0.412 0.307 0.228 0.855 0.822 0.790 0.760 0.731 0.703 0.676 0.650 0.625 0.601 0.577 0.555 0.534 0.513 0.494 0.475 12 13 Percent 6% 796 0.943 0.935 0.890 0.873 0.840 0.816 0.792 0.763 0.747 0.713 0.705 0.666 0.665 0.623 0.627 0.582 0.592 0.544 0.558 0.508 0.527 0.475 0.497 0.444 0.469 0.415 0.442 0.388 0.417 0.362 0.394 0.339 0.371 0.317 0.350 0.296 0.331 0.277 0.312 0.258 0.233 0.184 0.174 0.131 0.097 0.067 0.054 0.034 0.823 0.784 0.746 0.711 0.677 0.645 0.614 0.585 0.557 0.530 0.505 0.481 0.458 0.436 0.416 0.396 0.377 0.295 0.231 0.142 0.087 0.708 0.650 0.596 0.547 0.502 0.460 0.422 0.388 0.356 0.326 0.299 0.275 0.926 0.857 0.794 0.735 0.681 0.630 0.583 0.540 0.500 0.463 0.429 0.397 0.368 0.340 0.315 0.292 0.270 0.250 0.232 0.215 0.146 0.099 0.046 0.021 0.826 0.751 0.683 0.621 0.564 0.513 0.467 0.424 0.386 0.350 0.319 0.290 0.263 0.239 0.218 0.198 0.180 0.164 0.149 0.092 0.057 0.022 0.812 0.731 0.659 0.593 0.535 0.482 0.434 0.391 0.352 0.317 0.286 0.258 0.232 0.209 0.188 0.170 0.153 0.138 0.124 0.074 0.044 0.015 0.005 14 12% 0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404 0.361 0.322 0.287 0.257 0.229 0.205 0.183 0.163 0.146 0.130 0.116 0.104 0.059 0.033 0.011 0.003 15 16 17 0.252 0.231 0.212 0.194 18 19 20 25 30 0.456 0.375 0.308 0.208 0.141 0.178 0.116 0.075 0.032 0.013 40 50 0.009 Appendix B (concluded) Present value of $1 Percent Period 14% 17% 20% 25 30S 40% 13 0.885 15% 0.870 1 2 0.783 0.693 o o o w 16% 0.862 0.743 0.641 0.552 0.476 0.410 0.354 0.305 0.263 0.613 0.543 0.480 0.425 0.376 0.333 0.295 35% 0.741 0.549 0.406 0.301 0.223 0.165 0.122 0.091 .067 7 8 9 10 0.227 11 0.877 0.769 0.675 0.592 0.519 0.456 0.400 0.351 0.308 0.270 0.237 0.208 . 182 0.160 0.140 0.123 0.108 0.095 0.083 .073 .038 0.020 0.005 .001 0.756 0.658 0.572 0.497 0.432 0.376 0.327 0.284 0.247 0.215 0.187 0.163 0.141 0.123 0.107 0.093 0.081 0.070 0.061 0.030 0.015 0.004 0.001 0.261 0.231 0.204 12 13 0.855 0.731 0.624 0.534 0.456 0.390 0.333 0.285 0.243 0.208 0.178 0.152 0.130 0.111 0.095 0.081 0.069 0.059 0.051 0.043 0.020. 0.009 0.002 188 0.847 0.718 0.609 0.515 0.437 0.370 0.314 0.266 0.225 0.191 0.162 0.137 0.116 0.099 0.084 0.071 0.060 0.051 0.043 0.037 0.016 0.007 0.001 19% 0.840 0.706 0.593 0.499 0.419 0.352 0.296 0.249 0.209 0.176 0.148 0.124 0.104 0.088 0.074 0.062 0.052 0.044 0.037 0.031 0.013 0.005 0.001 50% 0.667 0.444 0.296 0.198 0.132 0.088 0.059 0.039 0.026 0.017 0.012 0.008 0.005 0.003 0.002 0.002 0.001 0.001 0.833 0.694 0.579 0.482 0.402 0.335 0.279 0.233 0.194 0.162 0.135 0.112 0.093 0.078 0.065 0.054 0.045 0.038 0.031 0.026 0.010 0.004 0.001 0.714 0.510 0.364 0.260 0.186 0.133 0.095 0.068 0.048 0.035 0.025 0.018 0.013 .009 0.006 0.005 0.003 0.002 0.002 0.001 0.800 0.640 0.512 0.410 0.328 0.262 0.210 0.168 0.134 0.107 0.086 0.069 0.055 0.044 0.035 0.028 0.023 0.018 0.014 0.012 0.004 0.001 0 0.769 0.592 0.455 0.350 0.269 0.207 0.159 0.123 0.094 0.073 0.056 0.043 0.033 0.025 0.020 0.015 0.012 0.009 0.007 0.005 0.001 0.195 0.168 0.145 0.125 0.108 0.093 0.080 0.069 0.060 0.051 0.024 0.012 0.003 0.001 14 15 .050 .037 0.027 0.020 0.015 0.011 0.008 0.006 0.005 0.003 0.002 0.001 16 17 0.181 0.160 0.141 0.125 0.111 0.098 0.087 0.047 0.026 0.008 0.002 18 19 20 25 30 40 50
