Problem 9.19 Timeline Manufacturing Co. is evaluating two projects. The company
ID: 1174589 • Letter: P
Question
Problem 9.19 Timeline Manufacturing Co. is evaluating two projects. The company uses payback criteria of three years or less. Project A has a cost of $935,240, and project B's cost is $1,126,400. Cash flows from both projects are given in the following table. Year Project A Project B 1$86,212 $586,212 313,562 413,277 427,594231,199 4 285,552 What are their discounted payback periods? (Round answers to 2 decimal places, e.g. 15.25. If discounted payback period exceeds life of the project, enter 0.00 for the answer.) Discounted payback periods of project A Discounted payback periods of project B Which will be accepted with a discount rate of 8 percent? Timeline should choose Click if you would like to Show Work for this question: Open Show WorkExplanation / Answer
Project A:
Present value of year 1 cash flow = 86,212 / ( 1 + 0.08) = 79,825.926
Present value of year 2 cash flow = 313,562 / ( 1 + 0.08)2 = 268,828.875
Present value of year 3 cash flow = 427,594 / ( 1 + 0.08)3 = 339,437.9033
Present value of year 4 cash flow = 285,552 / ( 1 + 0.08)4 = 209,889.245
Cumulative cash flow for year 0 = -935,240
Cumulative cash flow for year 1 = -935,240 + 79,825.926 = -855,414.074
Cumulative cash flow for year 2 = -855,414.074 + 268,828.875 = -586,585.199
Cumulative cash flow for year 3 = -586,585.199 + 339,437.9033 = -247,147.2957
Cumulative cash flow for year 4 = -247,147.2957 + 209,889.245 = -37,258.507
Payback period for project A is 0.00
Project B:
Present value of year 1 cash flow = 586,212 / ( 1 + 0.08) = 542,788.889
Present value of year 2 cash flow = 413,277 / ( 1 + 0.08)2 = 354,318.416
Present value of year 3 cash flow = 231,199 / ( 1 + 0.08)3 = 183,533.22
Cumulative cash flow for year 0 = -1,126,400
Cumulative cash flow for year 1 = -1,126,400 + 542,788.889 = -583,611.111
Cumulative cash flow for year 2 = -583,611.111 + 354,318.416 = -229,292.695
Cumulative cash flow for year 3 = -229,292.695 + 183,533.22 = -45,759.475
Payback period for project B is 0.00
Neither project should be accepted
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