In: Finance
Machine X has an upfront cost of $469,500 and annual operating costs of $14,175 over its 4-year life. Machine Y costs $415,000 upfront and has annual operating costs of $6,700 over its 3-year life. Whichever machine is purchased will continue to be replaced at the end of its useful life. If the required return is 17.75% for both machine, what is the absolute value of the dollar difference between the EACs of the two machines?
Project A | Year | Cash flow | × discount factor | Present value |
$ 469,500 | $ 469,500.00 | |||
1 | $ 14,175 | 0.849257 | $ 12,038.22 | |
2 | $ 14,175 | 0.721237 | $ 10,223.54 | |
3 | $ 14,175 | 0.612516 | $ 8,682.41 | |
4 | $ 14,175 | 0.520183 | $ 7,373.60 | |
Total | 2.703193 | $ 507,817.76 | ||
(a) | EAC - A | 507817.76/ 2.703193 | $ 187,858.48 | |
Project B | Year | Cash flow | × discount factor | Present value |
$ 415,000 | $ 415,000.00 | |||
1 | $ 6,700 | 0.849257 | $ 5,690.02 | |
2 | $ 6,700 | 0.721237 | $ 4,832.29 | |
3 | $ 6,700 | 0.612516 | $ 4,103.86 | |
Total | 2.183010 | $ 429,626.17 | ||
(b) | EAC - B | 429626.17/ 2.18301 | $ 196,804.50 | |
(a) - (b) | $ 8,946.01 |
Answer is $8,946
please rate.