BAK Corp. is considering purchasing one of two new diagnostic machines. Either m

Question

BAK Corp. is considering purchasing one of two new diagnostic machines. Either machine would make it possible for the company to bid on jobs that it currently isn’t equipped to do. Estimates regarding each machine are provided below.

Machine A Machine B

Original cost $77,000 $188,000

Estimated life 8 years 8 years

Salvage value 0 0

Estimated annual cash inflows $19,900 $40,200

Estimated annual cash outflows $4,800 $9,860

PV table

(n) Periods4%5%6%7%8%9%10%11%12%15%?01.000001.000001.000001.000001.000001.000001.000001.000001.000001.00000?11.040001.050001.060001.070001.080001.090001.100001.110001.120001.15000?21.081601.102501.123601.144901.166401.188101.210001.232101.254401.32250?31.124861.157631.191021.225041.259711.295031.331001.367631.404931.52088?41.169861.215511.262481.310801.360491.411581.464101.518071.573521.74901?51.216651.276281.338231.402551.469331.538621.610511.685061.762342.01136?61.265321.340101.418521.500731.586871.677101.771561.870411.973822.31306?71.315931.407101.503631.605781.713821.828041.948722.076162.210682.66002?81.368571.477461.593851.718191.850931.992562.143592.304542.475963.05902?91.423311.551331.689481.838461.999002.171892.357952.558032.773083.51788101.480241.628891.790851.967152.158922.367362.593742.839423.105854.04556111.539451.710341.898302.104852.331642.580432.853123.151763.478554.65239121.601031.795862.012202.252192.518172.812673.138433.498453.895985.35025131.665071.885652.132932.409852.719623.065813.452273.883284.363496.15279141.731681.979932.260902.578532.937193.341733.797504.310444.887117.07571151.800942.078932.396562.759033.172173.642484.177254.784595.473578.13706161.872982.182872.540352.952163.425943.970314.594975.310896.130399.35762171.947902.292022.692773.158823.700024.327635.054475.895096.8660410.76126182.025822.406622.854343.379933.996024.717125.559926.543557.6899712.37545192.106852.526953.025603.616534.315705.141666.115917.263348.6127614.23177202.191122.653303.207143.869684.660965.604416.727508.062319.6462916.36654

Calculate the net present value and profitability index of each machine. Assume a 9% discount rate. (If the net present value is negative, use either a negative sign preceding the number eg -45 or parentheses eg (45). Round answer for present value to 0 decimal places, e.g. 125 and profitability index to 2 decimal places, e.g. 10.50. For calculation purposes, use 5 decimal places as displayed in the factor table provided.)

Machine A Machine B

Net present value

Profitability index

Which machine should be purchased?

_____ should be purchased.

Explanation / Answer

Machine A Cash * 9% discount = Present Flows factor Value present value of net annual cash flows 15100 * 5.53482 = 83576 present value of salvage value 0 * 0.50187 = 0 83576 capital investment 77,000 Net present value 6576 profitability index = 83576/77000 1.09 Machine B Cash * 9% discount = Present Flows factor Value present value of net annual cash flows 30340 * 5.53482 = 167926 present value of salvage value 0 * 0.50187 = 0 167926 capital investment 188,000 Net present value -20074 profitability index = 167926/188000 0.89 2) Machine A should be purchased

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