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Colorado Mining, Inc. and Tanzania Exploration, Ltd. are separate firms that are

ID: 2737843 • Letter: C

Question

Colorado Mining, Inc. and Tanzania Exploration, Ltd. are separate firms that are both considering a new gold exploration project. Colorado Mining is in the actual gold mining business and has an after-tax cost of capital of 9.8 percent. Tanzania Exploration is in the precious gem retail business and has an after-tax cost of capital of 8.4 percent. The project under consideration has initial costs of $675,000 and anticipated annual cash inflows of $82,000 a year for ten years. Which firm(s), if either, should accept this project?

both Colorado Mining and Tanzania Exploration

neither Colorado Mining nor Tanzania Exploration

Colorado Mining only

Tanzania Exploration only

cannot be determined without further information

both Colorado Mining and Tanzania Exploration

neither Colorado Mining nor Tanzania Exploration

Colorado Mining only

Tanzania Exploration only

cannot be determined without further information

Explanation / Answer

neither Colorado Mining nor Tanzania Exploration Statement showing Cash flows Colorado Mining Particulars Time PVf@9.8% Amount PV Cash Outflows                       -                        1.00                       (675,000.00)                       (675,000.00) PV of Cash outflows = PVCO                       (675,000.00) Cash inflows                   1.00                 0.9107                           82,000.00                           74,681.24 Cash inflows                   2.00                 0.8295                           82,000.00                           68,015.70 Cash inflows                   3.00                 0.7554                           82,000.00                           61,945.08 Cash inflows                   4.00                 0.6880                           82,000.00                           56,416.29 Cash inflows                   5.00                 0.6266                           82,000.00                           51,380.95 Cash inflows                   6.00                 0.5707                           82,000.00                           46,795.04 Cash inflows                   7.00                 0.5197                           82,000.00                           42,618.43 Cash inflows                   8.00                 0.4733                           82,000.00                           38,814.60 Cash inflows                   9.00                 0.4311                           82,000.00                           35,350.27 Cash inflows                10.00                 0.3926                           82,000.00                           32,195.15 PV of Cash Inflows =PVCI                         508,212.76 NPV= PVCI - PVCO                       (166,787.24) Statement showing Cash flows Tanzania Exploration Particulars Time PVf@8.4% Amount PV Cash Outflows                       -                        1.00                       (675,000.00)                       (675,000.00) PV of Cash outflows = PVCO                       (675,000.00) Cash inflows                   1.00                 0.9225                           82,000.00                           75,645.76 Cash inflows                   2.00                 0.8510                           82,000.00                           69,783.91 Cash inflows                   3.00                 0.7851                           82,000.00                           64,376.30 Cash inflows                   4.00                 0.7242                           82,000.00                           59,387.73 Cash inflows                   5.00                 0.6681                           82,000.00                           54,785.73 Cash inflows                   6.00                 0.6163                           82,000.00                           50,540.34 Cash inflows                   7.00                 0.5686                           82,000.00                           46,623.93 Cash inflows                   8.00                 0.5245                           82,000.00                           43,011.01 Cash inflows                   9.00                 0.4839                           82,000.00                           39,678.05 Cash inflows                10.00                 0.4464                           82,000.00                           36,603.37 PV of Cash Inflows =PVCI                         540,436.11 NPV= PVCI - PVCO                       (134,563.89)