Suppose that in Example 10.5 the company executives feel they cannot accurately forecast annual costs beyond five years into the future.
All other data remain the same. Using a five-year study period, we obtain for the current machine:
EUAC_1(5) = ($6334.99)(A/P, 15%, 5) = $1889.85
and for the improved machine:
EUAC_2(5) = ($7000 – $500) (A/p, 15%, 5) + (0.15) ($500) + $375 = $2389.08
The numbers are different, but the decision is the same as before: it is cheaper to keep the current machine. The difference between the alternatives in the 5-year study is $2389.08 – $1889.85 = $499.23, which is slightly larger than the $482.88 difference found in the 10-year study of Example 10.5. In this case, using the shorter study period did not reduce the amount of discrimination between the alternatives.