You need a truck, which you can either buy or lease. You can buy the truck for $45,000 and sell it after 6 years for $8,000. What is the maximum amount that you would pay per year to lease rather than to buy if the discount rate is 8 percent per year? Assume that the lease payments are annual and payable at the beginning of each year. Select one: a. $7,959 b. $8,003 c. $8,643 d. $8,789 e. $8,223
Particulars | Amount in $ | NOTE | ||||
Purchase price of truck | 45,000.00 | Year | Discount factor@8% | |||
Less: | Present value of salvage | 5,041.36 | (8000*0.63017) | 1 | 0.925925926 | |
Cost of buying | 39,958.64 | 2 | 0.85733882 | |||
3 | 0.793832241 | |||||
Maximum amount would pay per year to lease rather then buy is | 8,643.66 | (39958.64/4.62288) | 4 | 0.735029853 | ||
5 | 0.680583197 | |||||
So the correct answer is option C i.e. $8,643 | 6 | 0.630169627 | ||||
Annuity value | 4.622879664 |
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