j-2. Compute the present value of the total annual benefits. Note: Do not round intermediate calculations and round your answer to the nearest whole dollar. k-1. Compare the present value of the incremental benefits ( j ) to the net cost of the new equipment (e). Note: Do not round intermediate calculations. Negative amount should be indicated by a minus sign. Round your answer to the nearest whole dollar. k-2. Should the replacement be undertaken? Yes No \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \multirow{2}{*}{\multicolumn{2}{|c|}{ riod -}} & \\ \hline & & & & & & & & & & 9% & 10% & & & & & & & 17% & & 19% & 20% & 25% & % & \begin{tabular}{l} 35% \\ 36 \\ \end{tabular} & & \\ \hline & 0.980 & & 0.9 .9 & 362 & & 907992 & & & 0.926 & 0.8420.917 & \begin{tabular}{|l|} 0.089 \\ 0.826 \end{tabular} & \begin{tabular}{|l|l|} 0.901 \\ 0.812 \end{tabular} & 33 & \begin{tabular}{|l|} 0.885 \\ 0.783 \\ \end{tabular} & & 6770 & & 3131 & & \begin{tabular}{l} 4.40 \\ 006 \end{tabular} & & \begin{tabular}{l} 800 \\ 560 \\ 50 \end{tabular} & & & & 0.4. \\ \hline & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \hline & 0.94 & & .837 & 0.796 & & & .7.705 & 66 & 0.630 & & 564 & & & 0.480 & & & & 0.390 & & 352 & 0.335 & & & 165 & & \\ \hline & 0.93 & & & 0.766 & & 711 & 0.665 & 0.623 & 0.583 & 0.547 & 0.513 & 0.482 & 0.452 & 0.425 & 0.400 & 0.376 & 0.354 & & & 0.296 & 0.279 & & & 122 & & \\ \hline & 0.923 & 53 & 0.789. & \begin{tabular}{l} .731 \\ \end{tabular} & & 677 & & 0.582 & 0.540 & & 0.467 & 0.434 & 0.404 & 0.376 & & & & 0.285 & 0.266 & 0.249 & & & 0.123 & & & \\ \hline & & & & 703 & 3 & 645 & 0.592 & & & & & \begin{tabular}{|l|l|} \end{tabular} & & & 308 & & & & & & & & & & & \\ \hline & & & & & & & 0.558 & & & & & & & & & & & & & & & & & & & \\ \hline & & 0.8 & & & & & & & & & & & & & & & & & & & & & & & & \\ \hline & & 0.788 & 0.701 & 2. & & & 0.497 & 0. & & & & & & & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \hline & & & 0.642 & 55 & & & & & & & & & & & & & & 0.095 & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \hline & & & & & & 436 & & & & & & & & & & & & & & & & & & & & \\ \hline & & 700 & & & & & & & & & & & & & & & & & & & & & & & & \\ \hline & & 586 & 0.570 & 0 & & 996 & & & & 4 & & & & & & & & & & & & & & & & \\ \hline & & & 0.554 & & & & & 0.258 & & & & & & & & & & & & & 26 & & 0.005 & 102 & & \\ \hline & & & & & & & & & 0.0146 & 66 & 0.0922 & & & & & & & & & & & & & & & \\ \hline & & & 0.300.41 & & & & & & & & & & & & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \hline \end{tabular} d. What is the cash inflow from the sale of the old equipment? Note: Do not round intermediate calculations and round your answer to the nearest whole dollar. e. What is the net cost of the new equipment? (Include the inflow from the sale of the old equipment.) Note: Do not round intermediate calculations and round your answer to the nearest whole dollar. f. Determine the depreciation schedule for the new equipment. Note: Round the depreciation base and annual depreciation answers to the nearest whole dollar. Round the percentage depreciation factors to 3 decimal places. g. Determine the depreciation schedule for the remaining years of the old equipment. Note: Round the depreciation base and annual depreciation answers to the nearest whole dollar. Round the percentage depreciation factors to 3 decimal places. h. Determine the incremental depreciation between the old and new equipment and the related tax shield benefits. Note: Enter the tax rate as a decimal rounded to 2 decimal places. Round all other answers to the nearest whole dollar. i. Compute the aftertax benefits of the cost savings. Note: Enter the aftertax factor as a decimal rounded to 2 decimal places. Round all other answers to the nearest whole dollar. j-1. Add the depreciation tax shield benefits and the aftertax cost savings to determine the total annual benefits. Note: Do not round intermediate calculations and round your answers to the nearest whole dollar. Problem 12-31 (Algo) Replacement decision analysis [LO12-4] Hercules Exercise Equipment Company purchased a computerized measuring device two years ago for $76,000. The equipment falls into the five-year category for MACRS depreciation and can currently be sold for $33,800. A new piece of equipment will cost $150,000. It also falls into the five-year category for MACRS depreciation. Assume the new equipment would provide the following stream of added cost savings for the next six years. Use Table 12-12. Use for an approximate answer but calculate your final answer using the formula and financial calculator methods. The firm's tax rate is 25 percent and the cost of capital is 14 percent. a. What is the book value of the old equipment? Note: Do not round intermediate calculations and round your answer to the nearest whole dollar. b. What is the tax loss on the sale of the old equipment? Note: Do not round intermediate calculations and round your answer to the nearest whole dollar. c. What is the tax benefit from the sale? Note: Do not round intermediate calculations and round your answer to the nearest whole dollar. Table 12-12 Depreciation percentages (expressed in decimals) \begin{tabular}{|c|c|c|c|c|c|c|} \hline \begin{tabular}{c} Depreciation \\ Year \end{tabular} & \begin{tabular}{c} 3-Year \\ MACRS \end{tabular} & \begin{tabular}{c} 5-Year \\ MACRS \end{tabular} & \begin{tabular}{c} 7-Year \\ MACRS \end{tabular} & \begin{tabular}{c} 10-Year \\ MACRS \end{tabular} & \begin{tabular}{c} 15-Year \\ MACRS \end{tabular} & \begin{tabular}{c} M0-Year \\ MACRS \end{tabular} \\ \hline 1 & 0.333 & 0.200 & 0.143 & 0.100 & 0.050 & 0.038 \\ \hline 2 & 0.445 & 0.320 & 0.245 & 0.180 & 0.095 & 0.072 \\ \hline 3 & 0.148 & 0.192 & 0.175 & 0.144 & 0.086 & 0.067 \\ \hline 4 & 0.074 & 0.115 & 0.125 & 0.115 & 0.077 & 0.062 \\ \hline 5 & & 0.115 & 0.089 & 0.092 & 0.069 & 0.057 \\ \hline 6 & & 0.058 & 0.089 & 0.074 & 0.062 & 0.053 \\ \hline 7 & & & 0.089 & 0.066 & 0.059 & 0.045 \\ \hline 8 & & & 0.045 & 0.066 & 0.059 & 0.045 \\ \hline 9 & & & & 0.065 & 0.059 & 0.045 \\ \hline 10 & & & & 0.065 & 0.059 & 0.045 \\ \hline 11 & & & & 0.033 & 0.059 & 0.045 \\ \hline 12 & & & & & 0.059 & 0.045 \\ \hline 13 & & & & & 0.059 & 0.045 \\ \hline 14 & & & & & 0.059 & 0.045 \\ \hline 15 & & & & & 0.059 & 0.045 \\ \hline 16 & & & & & 0.030 & 0.045 \\ \hline 17 & & & & & & 0.045 \\ \hline 18 & & & & & & 0.045 \\ \hline 19 & & & & & & 0.045 \\ \hline 21 & & & & & & 0.017 \\ \hline & 1.000 & 1.000 & 1.000 & 1.000 & 1.000 & 1.000 \\ \hline \end{tabular} j-2. Compute the present value of the total annual benefits. Note: Do not round intermediate calculations and round your answer to the nearest whole dollar. k-1. Compare the present value of the incremental benefits ( j ) to the net cost of the new equipment (e). Note: Do not round intermediate calculations. Negative amount should be indicated by a minus sign. Round your answer to the nearest whole dollar. k-2. Should the replacement be undertaken? Yes No \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \multirow{2}{*}{\multicolumn{2}{|c|}{ riod -}} & \\ \hline & & & & & & & & & & 9% & 10% & & & & & & & 17% & & 19% & 20% & 25% & % & \begin{tabular}{l} 35% \\ 36 \\ \end{tabular} & & \\ \hline & 0.980 & & 0.9 .9 & 362 & & 907992 & & & 0.926 & 0.8420.917 & \begin{tabular}{|l|} 0.089 \\ 0.826 \end{tabular} & \begin{tabular}{|l|l|} 0.901 \\ 0.812 \end{tabular} & 33 & \begin{tabular}{|l|} 0.885 \\ 0.783 \\ \end{tabular} & & 6770 & & 3131 & & \begin{tabular}{l} 4.40 \\ 006 \end{tabular} & & \begin{tabular}{l} 800 \\ 560 \\ 50 \end{tabular} & & & & 0.4. \\ \hline & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \hline & 0.94 & & .837 & 0.796 & & & .7.705 & 66 & 0.630 & & 564 & & & 0.480 & & & & 0.390 & & 352 & 0.335 & & & 165 & & \\ \hline & 0.93 & & & 0.766 & & 711 & 0.665 & 0.623 & 0.583 & 0.547 & 0.513 & 0.482 & 0.452 & 0.425 & 0.400 & 0.376 & 0.354 & & & 0.296 & 0.279 & & & 122 & & \\ \hline & 0.923 & 53 & 0.789. & \begin{tabular}{l} .731 \\ \end{tabular} & & 677 & & 0.582 & 0.540 & & 0.467 & 0.434 & 0.404 & 0.376 & & & & 0.285 & 0.266 & 0.249 & & & 0.123 & & & \\ \hline & & & & 703 & 3 & 645 & 0.592 & & & & & \begin{tabular}{|l|l|} \end{tabular} & & & 308 & & & & & & & & & & & \\ \hline & & & & & & & 0.558 & & & & & & & & & & & & & & & & & & & \\ \hline & & 0.8 & & & & & & & & & & & & & & & & & & & & & & & & \\ \hline & & 0.788 & 0.701 & 2. & & & 0.497 & 0. & & & & & & & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \hline & & & 0.642 & 55 & & & & & & & & & & & & & & 0.095 & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \hline & & & & & & 436 & & & & & & & & & & & & & & & & & & & & \\ \hline & & 700 & & & & & & & & & & & & & & & & & & & & & & & & \\ \hline & & 586 & 0.570 & 0 & & 996 & & & & 4 & & & & & & & & & & & & & & & & \\ \hline & & & 0.554 & & & & & 0.258 & & & & & & & & & & & & & 26 & & 0.005 & 102 & & \\ \hline & & & & & & & & & 0.0146 & 66 & 0.0922 & & & & & & & & & & & & & & & \\ \hline & & & 0.300.41 & & & & & & & & & & & & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \hline \end{tabular} d. What is the cash inflow from the sale of the old equipment? Note: Do not round intermediate calculations and round your answer to the nearest whole dollar. e. What is the net cost of the new equipment? (Include the inflow from the sale of the old equipment.) Note: Do not round intermediate calculations and round your answer to the nearest whole dollar. f. Determine the depreciation schedule for the new equipment. Note: Round the depreciation base and annual depreciation answers to the nearest whole dollar. Round the percentage depreciation factors to 3 decimal places. g. Determine the depreciation schedule for the remaining years of the old equipment. Note: Round the depreciation base and annual depreciation answers to the nearest whole dollar. Round the percentage depreciation factors to 3 decimal places. h. Determine the incremental depreciation between the old and new equipment and the related tax shield benefits. Note: Enter the tax rate as a decimal rounded to 2 decimal places. Round all other answers to the nearest whole dollar. i. Compute the aftertax benefits of the cost savings. Note: Enter the aftertax factor as a decimal rounded to 2 decimal places. Round all other answers to the nearest whole dollar. j-1. Add the depreciation tax shield benefits and the aftertax cost savings to determine the total annual benefits. Note: Do not round intermediate calculations and round your answers to the nearest whole dollar. Problem 12-31 (Algo) Replacement decision analysis [LO12-4] Hercules Exercise Equipment Company purchased a computerized measuring device two years ago for $76,000. The equipment falls into the five-year category for MACRS depreciation and can currently be sold for $33,800. A new piece of equipment will cost $150,000. It also falls into the five-year category for MACRS depreciation. Assume the new equipment would provide the following stream of added cost savings for the next six years. Use Table 12-12. Use for an approximate answer but calculate your final answer using the formula and financial calculator methods. The firm's tax rate is 25 percent and the cost of capital is 14 percent. a. What is the book value of the old equipment? Note: Do not round intermediate calculations and round your answer to the nearest whole dollar. b. What is the tax loss on the sale of the old equipment? Note: Do not round intermediate calculations and round your answer to the nearest whole dollar. c. What is the tax benefit from the sale? Note: Do not round intermediate calculations and round your answer to the nearest whole dollar. Table 12-12 Depreciation percentages (expressed in decimals) \begin{tabular}{|c|c|c|c|c|c|c|} \hline \begin{tabular}{c} Depreciation \\ Year \end{tabular} & \begin{tabular}{c} 3-Year \\ MACRS \end{tabular} & \begin{tabular}{c} 5-Year \\ MACRS \end{tabular} & \begin{tabular}{c} 7-Year \\ MACRS \end{tabular} & \begin{tabular}{c} 10-Year \\ MACRS \end{tabular} & \begin{tabular}{c} 15-Year \\ MACRS \end{tabular} & \begin{tabular}{c} M0-Year \\ MACRS \end{tabular} \\ \hline 1 & 0.333 & 0.200 & 0.143 & 0.100 & 0.050 & 0.038 \\ \hline 2 & 0.445 & 0.320 & 0.245 & 0.180 & 0.095 & 0.072 \\ \hline 3 & 0.148 & 0.192 & 0.175 & 0.144 & 0.086 & 0.067 \\ \hline 4 & 0.074 & 0.115 & 0.125 & 0.115 & 0.077 & 0.062 \\ \hline 5 & & 0.115 & 0.089 & 0.092 & 0.069 & 0.057 \\ \hline 6 & & 0.058 & 0.089 & 0.074 & 0.062 & 0.053 \\ \hline 7 & & & 0.089 & 0.066 & 0.059 & 0.045 \\ \hline 8 & & & 0.045 & 0.066 & 0.059 & 0.045 \\ \hline 9 & & & & 0.065 & 0.059 & 0.045 \\ \hline 10 & & & & 0.065 & 0.059 & 0.045 \\ \hline 11 & & & & 0.033 & 0.059 & 0.045 \\ \hline 12 & & & & & 0.059 & 0.045 \\ \hline 13 & & & & & 0.059 & 0.045 \\ \hline 14 & & & & & 0.059 & 0.045 \\ \hline 15 & & & & & 0.059 & 0.045 \\ \hline 16 & & & & & 0.030 & 0.045 \\ \hline 17 & & & & & & 0.045 \\ \hline 18 & & & & & & 0.045 \\ \hline 19 & & & & & & 0.045 \\ \hline 21 & & & & & & 0.017 \\ \hline & 1.000 & 1.000 & 1.000 & 1.000 & 1.000 & 1.000 \\ \hline \end{tabular}