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A company is considering a new piece of equipment for a project lasting 10 years

ID: 2802756 • Letter: A

Question

A company is considering a new piece of equipment for a project lasting 10 years with details as shown below. The costs and benefits are expected to keep increasing with the inflation rate even when a new machine is put into operation. Taking these into account, what is the annual worth that the company can expect from the machine? Initial cost $145,000 MARR 18% p y c y Inflation rate 4% p y c y Life 7 years Project life 10 years Machine value today with life of 3 years $64,500 Machine value today with life of 7 years $33,500 First year costs $62,200 First year benefits $96,800

A $3,260 B $2,969 C $1,779 D $985

Explanation / Answer

ANSWER:

CALUCULATION OF INFLOWS

CALUCULATION OF COSTS 145000+64500+33500 =243000

BENEFIT =$3260

benefits   costs net benefit Present vlue factor@13.4% Amount                      96,800                      62,200            34,600 0.881290209          30,492.64                  1,06,480                      68,420            38,060 0.776672432          12,205.04                  1,17,128                      75,262            41,866 0.68447381          28,656.18                  1,28,841                      82,788            46,053 0.603220067          27,779.85                  1,41,725                      91,067            50,658 0.531611939          26,930.32                  1,55,897                  1,00,174            55,724 0.468504397          26,106.77                  1,71,487                  1,10,191            61,296 0.412888338          25,308.41                  1,88,636                  1,21,210            67,426 0.363874449          24,534.46                  2,07,499                  1,33,331            74,168 0.320678989          23,784.17                  2,28,249                  1,46,664            81,585 0.282611254          23,056.84      2,48,854.69
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