Question

The dean of the School of Fine Arts is trying to decide whether to purchase a copy machine to place in the lobby of the building. The machine would add to student convenience, but the dean feels compelled to earn an 8 percent return on the investment of funds. Estimates of cash inflows from copy machines that have been placed in other university buildings indicate that the copy machine would probably produce incremental cash inflows of approximately $17,000 per year. The machine is expected to have a three-year useful life with a zero salvage value. (Use appropriate factor(s) from the tables provided.)

Required:

1.Use Present Value Appendix PV of $1, to determine the maximum amount of cash the dean should be willing to pay for a copy machine. (Round your intermediate calculations and final answer to 2 decimal places.)

2.Use Present Value Appendix PVA of $1, to determine the maximum amount of cash the dean should be willing to pay for a copy machine. (Round your final answer to 2 decimal places.)

Answer 1

Answer:

The Dean will pay up to 43,810.65 considering the copy-machine cash flow and required return.

Explanation:

17,000 incremental cash flow per year with a three year useful life

we are asked for the present value considering 8% as discount rate:

we have to sovle for the present value of this annuity.

$C \times \frac{1-(1+r)^{-time} }{rate} = PV$

C 17,000.00

time 3

rate 0.08

$17000 \times \frac{1-(1+0.08)^{-3} }{0.08} = PV$

PV $43,810.6488