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Basic scenario analysis Murdock Paints is in the process of evaluating two mutua

ID: 2767224 • Letter: B

Question

Basic scenario analysis Murdock Paints is in the process of evaluating two mutually exclusive additions to its processing capacity. The firm's financial analysts have developed pessimistic, most likely, and optimistic estimates of the annual cash inflows associated with each project. These estimates are shown in the following table. a. Determine the range of annual cash inflows for each of the two projects. b. Assume that the firm's cost of capital is 10% and that both projects have 20-year lives. Construct a table similar to this one for the NPVs for each project. Include the range of NPVs for each project. c. Do parts a and b provide consistent views of the two projects? Explain. d. Which project do you recommend? Why?

Explanation / Answer

a Range of Cash Flows From $ To $ Project A              200        1,800 Project B              900        1,100 b NPV & Range Project A Period PV Factor @10% Cash Flow Pessimistic Cash Flow Most Likely Cash Flow optimistic PV of Cash Flow Pessimistic PV of Cash Flow Most Likely PV of Cash Flow optimistic Year 0                   1     (8,000)       (8,000)     (8,000)           (8,000)           (8,000)           (8,000)                                               1          0.909           200         1,000        1,800                 182                 909              1,636                                               2          0.826           200         1,000        1,800                 165                 826              1,488                                               3          0.751           200         1,000        1,800                 150                 751              1,352                                               4          0.683           200         1,000        1,800                 137                 683              1,229                                               5          0.621           200         1,000        1,800                 124                 621              1,118                                               6          0.564           200         1,000        1,800                 113                 564              1,016                                               7          0.513           200         1,000        1,800                 103                 513                 924                                               8          0.467           200         1,000        1,800                   93                 467                 840                                               9          0.424           200         1,000        1,800                   85                 424                 763                                             10          0.386           200         1,000        1,800                   77                 386                 694                                             11          0.350           200         1,000        1,800                   70                 350                 631                                             12          0.319           200         1,000        1,800                   64                 319                 574                                             13          0.290           200         1,000        1,800                   58                 290                 521                                             14          0.263           200         1,000        1,800                   53                 263                 474                                             15          0.239           200         1,000        1,800                   48                 239                 431                                             16          0.218           200         1,000        1,800                   44                 218                 392                                             17          0.198           200         1,000        1,800                   40                 198                 356                                             18          0.180           200         1,000        1,800                   36                 180                 324                                             19          0.164           200         1,000        1,800                   33                 164                 294                                             20          0.149           200         1,000        1,800                   30                 149                 268 NPV for the scenarios           (6,297)                 514              7,324 NPV & Range Project B Period PV Factor @10% Cash Flow Pessimistic Cash Flow Most Likely Cash Flow optimistic PV of Cash Flow Pessimistic PV of Cash Flow Most Likely PV of Cash Flow optimistic Year 0                   1     (8,000)       (8,000)     (8,000)           (8,000)           (8,000)           (8,000)                                               1          0.909           900         1,000        1,100                 818                 909              1,000                                               2          0.826           900         1,000        1,100                 744                 826                 909                                               3          0.751           900         1,000        1,100                 676                 751                 826                                               4          0.683           900         1,000        1,100                 615                 683                 751                                               5          0.621           900         1,000        1,100                 559                 621                 683                                               6          0.564           900         1,000        1,100                 508                 564                 621                                               7          0.513           900         1,000        1,100                 462                 513                 564                                               8          0.467           900         1,000        1,100                 420                 467                 513                                               9          0.424           900         1,000        1,100                 382                 424                 467                                             10          0.386           900         1,000        1,100                 347                 386                 424                                             11          0.350           900         1,000        1,100                 315                 350                 386                                             12          0.319           900         1,000        1,100                 287                 319                 350                                             13          0.290           900         1,000        1,100                 261                 290                 319                                             14          0.263           900         1,000        1,100                 237                 263                 290                                             15          0.239           900         1,000        1,100                 215                 239                 263                                             16          0.218           900         1,000        1,100                 196                 218                 239                                             17          0.198           900         1,000        1,100                 178                 198                 218                                             18          0.180           900         1,000        1,100                 162                 180                 198                                             19          0.164           900         1,000        1,100                 147                 164                 180                                             20          0.149           900         1,000        1,100                 134                 149                 164 NPV for the scenarios               (338)                 514              1,365 Range of NPV From $ To $ Project A        (6,297)        7,324 Project B            (338)        1,365 c Part a & B are consistent as both Cash Flows and NPV ranges of Project A varies widely, whereas   those of Project B are within medium range of deviation. d I woul recommend Project B. The Most Likely NPV is same for both , but the risk of lower range   NPV is quite high is Project A . So it is better to minimize the risk .

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