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You should spend 80 min, to complete the following three problems (open-book. NO

ID: 2494131 • Letter: Y

Question

You should spend 80 min, to complete the following three problems (open-book. NO open-note): Problem 1 : An engineer is asked to provide the company with an estimated total cost for both a new and used vehicle over the 5 year test period. A new vehicle costs 20,000 dollars and has an annual maintenance and operating cost of 15,000 dollars. A used vehicle costs 10,000 and has an annual maintenance and operating cost of 19,000 dollars. It is also estimated that the new car will have a salvage value of 8,000 dollars and the used car will have a salvage value of 4,000 dollars. Determine the total present value of costs as a discount rate of 10 percent. (Show all of your work) ....

Explanation / Answer

PV = cashflow/(1+i)^n

where i = 10% and n is the number of period.

year New vehicle Salvage value Total cash flow PV @ 10% Old Vehicle Salvage value Total cash flow PV @ 10% 0 costs -              20,000 -                            20,000 -                    20,000 -                          10,000 -                          10,000 -         10,000.0 1 maintenance cost -              15,000 -                            15,000 -                    13,636 -                          19,000 -                          19,000 -         17,272.7 2 maintenance cost -              15,000 -                            15,000 -                    12,397 -                          19,000 -                          19,000 -         15,702.5 3 maintenance cost -              15,000 -                            15,000 -                    11,270 -                          19,000 -                          19,000 -         14,275.0 4 maintenance cost -              15,000 -                            15,000 -                    10,245 -                          19,000 -                          19,000 -         12,977.3 5 maintenance cost -              15,000                   8,000 -                               7,000 -                       4,346 -                          19,000                               4,000 -                          15,000 -            9,313.8 Total present value -                    71,894 -             79,541
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