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Silver Lining Inc. is considering two projects. Project A requires an investment

ID: 2758703 • Letter: S

Question

Silver Lining Inc. is considering two projects. Project A requires an investment of $41,000. Estimated annual receipts for 20 years are $25,000; estimated annual costs are $12,500. An alternative project, B, requires an investment of $80,000, has annual receipts for 20 years of $31,000, and has annual costs of $18,000. Assume both projects have a zero salvage value and that MARR is 10.0 percent/year. Projects are NOT mutually exclusive. What is the present worth of each project? Which project(s) should be chosen? Why?

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Explanation / Answer

Both the project can be choosen as noth have positive NPV. and the NPV of project A higher.

Project A Year Initial investment Revenue Cost Cash outflow/inflow PV @ 10% 0 -                      41,000 -                            41,000 -    41,000 1      25,000      12,500                              12,500      11,364 2      25,000      12,500                              12,500      10,331 3      25,000      12,500                              12,500         9,391 4      25,000      12,500                              12,500         8,538 5      25,000      12,500                              12,500         7,762 6      25,000      12,500                              12,500         7,056 7      25,000      12,500                              12,500         6,414 8      25,000      12,500                              12,500         5,831 9      25,000      12,500                              12,500         5,301 10      25,000      12,500                              12,500         4,819 11      25,000      12,500                              12,500         4,381 12      25,000      12,500                              12,500         3,983 13      25,000      12,500                              12,500         3,621 14      25,000      12,500                              12,500         3,292 15      25,000      12,500                              12,500         2,992 16      25,000      12,500                              12,500         2,720 17      25,000      12,500                              12,500         2,473 18      25,000      12,500                              12,500         2,248 19      25,000      12,500                              12,500         2,044 20      25,000      12,500                              12,500         1,858 NPV      65,420 Project B Year Initial investment Revenue Cost Cash outflow/inflow PV @ 10% 0 -                      80,000 -                            80,000 -    80,000 1      31,000      18,000                              13,000      11,818 2      31,000      18,000                              13,000      10,744 3      31,000      18,000                              13,000         9,767 4      31,000      18,000                              13,000         8,879 5      31,000      18,000                              13,000         8,072 6      31,000      18,000                              13,000         7,338 7      31,000      18,000                              13,000         6,671 8      31,000      18,000                              13,000         6,065 9      31,000      18,000                              13,000         5,513 10      31,000      18,000                              13,000         5,012 11      31,000      18,000                              13,000         4,556 12      31,000      18,000                              13,000         4,142 13      31,000      18,000                              13,000         3,766 14      31,000      18,000                              13,000         3,423 15      31,000      18,000                              13,000         3,112 16      31,000      18,000                              13,000         2,829 17      31,000      18,000                              13,000         2,572 18      31,000      18,000                              13,000         2,338 19      31,000      18,000                              13,000         2,126 20      31,000      18,000                              13,000         1,932 NPV      30,676
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