Question

BD Corporation has purchased new computers to modernize the office. The increased efficiency from the computers will lead to increases in productivity from the office staff. Estimates of the additional revenue from the productivity are $75,000 per year (end of year) for the next five years when the computers will need to be replaced. The new computers will cost $300,000. You will have to borrow from your local bank at a rate of 8% APR. Should you go ahead with the new computers

Answer 1

BD Corporation should not purchase the new computers

Step-by-step explanation:

initial outlay year 0 = -$300,000

increased productivity per year = $75,000 for years 1-5

discount rate = 8%

NPV = -$300,000 + $75,000/1.08 + $75,000/1.08² + $75,000/1.08³ + $75,000/1.08⁴ + $75,000/1.08⁵ = -$300,000 + $69,444.44 + $64,300.41 + $59,537.42 + $55,127.24 + $51,043.74 = -$300,000 + 299,453.25 = -$546.75

since NPV is negative, then the project should be rejected

we can also use an annuity factor to determine the present value of this annuity, PV = $75,000 x 3.9927 = $299,452.50

NPV = -$300,000 + $299,452.50 = -$547.50