a. Determine the equal annual net cash flows from operating the bulldozer.
b. Determine the net present value of the investment, assuming that the desired rate of return is 10%. Use the present value of an annuity of $1 table in the chapter (Exhibit 2). Round to the nearest dollar.
c. Should Briggs invest in the bulldozer, based on this analysis?
d. Determine the number of operating hours such that the present value of cash flows equals the amount to be invested.
Answer:
a. Cash inflows:
Hours of operation……………………………………
× Revenue per hour…………………………………… $ 110
Revenue per year……………………………………… $165,000
Cash outflows:
Hours of operation……………………………………… 1,500
Fuel cost per hour………………………………… $46
Labor cost per hour…………………………………
× Total fuel and labor costs per hour……………
Fuel and labor costs per year………………………… (111,000)
Maintenance costs per year………………………… (8,000)
Annual net cash flow………………………………… $ 46,000
b. Annual net cash flow (at the end of each of five years)………… $ 46,000
× Present value of annuity of $1 at 10% for five periods………… 3.791
Present value of annual net cash flows…………………………… $174,386
Less amount to be invested………………………………………… 132,000
Net present value……………………………………………………… $ 42,386
c. Yes. Briggs should accept the investment because the bulldozer cost is less
than the present value of the cash flows at the minimum desired rate of return
of 10%.
d. 3.791 [(Hrs. × $110) – (Hrs. × $74) – $8,000] = $132,000
(Hrs. × $417) – (Hrs. × $281) – $30,328 = $132,000
Hrs. × $136 = $162,328
Hrs. = 1,194 (rounded)
Thus, the bulldozer operating hours must exceed 1,194 annually in order for
the investment to be justified.
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