Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Questions (51-56): Co has asked you to recommend a new nutcracker machine. After

ID: 2615927 • Letter: Q

Question

Questions (51-56): Co has asked you to recommend a new nutcracker machine. After months of hard research, you have collected the following data Data Life, Years First Cost (FC Annual Benefit (AB) AB Gradient (AB Annual Maintenance & Operating Cost (M&O; M&O; Gradient (M&OG;) Salvage Value KRAX 6 $202,000 73,000 1,200 18,000 600 42,000 SPLIT-NUT $285,000 88,000 1300 34,000 1,100 48,000 Discussions with the accounting department reveal that a loan must be secured to purchase any machine. The loan data are as follows: Data Down Payment (% of FC Loan Period, Years Loan Payment KRAX 30% SPLIT-NUT 30% $34,392.11 $37,441.93 The loan payments will be made annually with 12% interest. PARC Co. assumes MARR 1 5%. Using the Net Present Worth (NPW) analysis, answer the following questions (51) The analysis period if you are going to use NPW is close to: (52) The interest rate that you are going to use in the calculation is: (53) The NPW for KRAX type, using only 6 years cash flow, is close to: (54) The NPW for SPLIT-NUT type, using only 9 years cash flow, is close to: (55) The NPW for KRAX type in the analysis period, is close to: a) 24 years b) 21 years c) 12 years d)A 8 years a) 12% c) 30% d) 13% a) /$40,500 b) $15,500 c) $11,000 d) $10,110 a) $10,500 b) $12,500 c) $11,200 d)$10,100 a) $10,510 b) $65,300 c) $61,900 d) $14,250

Explanation / Answer

51. Select a 18-year analysis period, the least common multiple of 9 and 6. 52. Interest Rate used here is 12%. 15% is MARR it oue expected return 53. Krax NPW Year Benefit Cost Interest Expense Net Cash flow DF MARR 15% Discounted Net Cash flow 1 $    73,000.00 $ 18,000.00 $ 16,968.00 $    38,032.00 0.869565 $    33,071.30 2 $    74,200.00 $ 18,600.00 $ 14,877.11 $    40,722.89 0.756144 $    30,792.36 3 $    75,400.00 $ 19,200.00 $ 12,535.31 $    43,664.69 0.657516 $    28,710.24 4 $    76,600.00 $ 19,800.00 $     9,912.49 $    46,887.51 0.571753 $    26,808.09 5 $    77,800.00 $ 20,400.00 $     6,974.94 $    50,425.06 0.497177 $    25,070.17 6 $    79,000.00 $ 21,000.00 $     3,684.87 $    54,315.13 0.432328 $    23,481.93 6 $    42,000.00 Salvage Value 0.432328 $    18,157.76 PV of Cash flow $ 186,091.85 Intial Investment $ 202,000.00 Net Present Worth $ (15,908.15) Interest Calculation Loan 141400 OP Balance Repayment Interest Principal Closing Bal A=E B C=AX12% D=B-C E=B-D $   141,400.00 $    34,392.11 $ 16,968.00 $ 17,424.11 $ 123,975.89 $   123,975.89 $    34,392.11 $ 14,877.11 $ 19,515.00 $ 104,460.89 $   104,460.89 $    34,392.11 $ 12,535.31 $ 21,856.80 $    82,604.08 $     82,604.08 $    34,392.11 $     9,912.49 $ 24,479.62 $    58,124.46 $     58,124.46 $    34,392.11 $     6,974.94 $ 27,417.17 $    30,707.29 $     30,707.29 $    34,392.11 $     3,684.87 $ 30,707.24 $               0.05 54. SPLIT NUT NPW Year Benefit Cost Interest Expense Net Cash flow DF MARR 15% Discounted Net Cash flow 1 $    88,000.00 $ 34,000.00 $ 23,940.00 $    30,060.00 0.869565 26139.13043 2 $    89,300.00 $ 35,100.00 $ 22,319.77 $    31,880.23 0.756144 24106.03524 3 $    90,600.00 $ 36,200.00 $ 20,505.11 $    33,894.89 0.657516 22286.44102 4 $    91,900.00 $ 37,300.00 $ 18,472.69 $    36,127.31 0.571753 20655.90647 5 $    93,200.00 $ 38,400.00 $ 16,196.38 $    38,603.62 0.497177 19192.82089 6 $    94,500.00 $ 39,500.00 $ 13,646.92 $    41,353.08 0.432328 17878.07941 7 $    95,800.00 $ 40,600.00 $ 10,791.51 $    44,408.49 0.375937 16694.79467 8 $    97,100.00 $ 41,700.00 $     7,593.46 $    47,806.54 0.326902 15628.04129 9 $    98,400.00 $ 42,800.00 $     4,011.65 $    51,588.35 0.284262 14664.62923 9 $    48,000.00 Salvage Value 0.284262 13644.59578 PV of Cash flow $ 190,890.47 Intial Investment $ 285,000.00 Net Present Worth $ (94,109.53) Interest Calculation Loan 199500 OP Balance Repayment Interest Principal Closing Bal A=E B C=AX12% D=B-C E=B-D $   199,500.00 $    37,441.93 $ 23,940.00 $ 13,501.93 $ 185,998.07 $   185,998.07 $    37,441.93 $ 22,319.77 $ 15,122.16 $ 170,875.91 $   170,875.91 $    37,441.93 $ 20,505.11 $ 16,936.82 $ 153,939.09 $   153,939.09 $    37,441.93 $ 18,472.69 $ 18,969.24 $ 134,969.85 $   134,969.85 $    37,441.93 $ 16,196.38 $ 21,245.55 $ 113,724.30 $   113,724.30 $    37,441.93 $ 13,646.92 $ 23,795.01 $    89,929.29 $     89,929.29 $    37,441.93 $ 10,791.51 $ 26,650.42 $    63,278.87 $     63,278.87 $    37,441.93 $     7,593.46 $ 29,848.47 $    33,430.40 $     33,430.40 $    37,441.93 $     4,011.65 $ 33,430.28 $               0.12 55. Krax NPW for analysis period Year Benefit Cost Interest Expense Net Cash flow DF MARR 15% Discounted Net Cash flow 1 $    88,000.00 $ 34,000.00 $ 23,940.00 $    30,060.00 0.869565 $    26,139.13 2 $    89,300.00 $ 35,100.00 $ 22,319.77 $    31,880.23 0.756144 $    24,106.04 3 $    90,600.00 $ 36,200.00 $ 20,505.11 $    33,894.89 0.657516 $    22,286.44 4 $    91,900.00 $ 37,300.00 $ 18,472.69 $    36,127.31 0.571753 $    20,655.91 5 $    93,200.00 $ 38,400.00 $ 16,196.38 $    38,603.62 0.497177 $    19,192.82 6 $    94,500.00 $ 39,500.00 $ 13,646.92 $    41,353.08 0.432328 $    17,878.08 7 $    95,800.00 $ 40,600.00 $ 10,791.51 $    44,408.49 0.375937 $    16,694.79 8 $    97,100.00 $ 41,700.00 $     7,593.46 $    47,806.54 0.326902 $    15,628.04 9 $    98,400.00 $ 42,800.00 $     4,011.65 $    51,588.35 0.284262 $    14,664.63 6 $    42,000.00 0.284262 $    11,939.02 10 $    99,700.00 $ 43,900.00 $ 23,940.00 $    31,860.00 0.247185 $       7,875.30 11 $ 101,000.00 $ 45,000.00 $ 22,319.77 $    33,680.23 0.214943 $       7,239.34 12 $ 102,300.00 $ 46,100.00 $ 20,505.11 $    35,694.89 0.186907 $       6,671.63 13 $ 103,600.00 $ 47,200.00 $ 18,472.69 $    37,927.31 0.162528 $       6,164.25 14 $ 104,900.00 $ 48,300.00 $ 16,196.38 $    40,403.62 0.141329 $       5,710.19 15 $ 106,200.00 $ 49,400.00 $ 13,646.92 $    43,153.08 0.122894 $       5,303.28 16 $ 107,500.00 $ 50,500.00 $ 10,791.51 $    46,208.49 0.106865 $       4,938.06 17 $ 108,800.00 $ 51,600.00 $     7,593.46 $    49,606.54 0.092926 $       4,609.73 18 $ 110,100.00 $ 52,700.00 $     4,011.65 $    53,388.35 0.080805 $       4,314.05 118 $    42,000.00 0.080805 $       3,393.81 PV of Cash flow $ 245,404.54 Intial Investment $ 570,000.00 Net Present Worth $ (39,595.46)