Question

In: Accounting

Joe’s Hardware is adding a new product line that will require an investment of $ 1,476,000....

Joe’s Hardware is adding a new product line that will require an investment of

$ 1,476,000. Managers estimate that this investment will have a​ 10-year life and generate net cash inflows of $ 310,000 the first​ year, $ 280,000 the second​ year, and $ 230,000

each year thereafter for eight years. Compute the payback period. Round to one decimal place.

Solutions

Expert Solution

Payback Period = ( Last Year with a Negative Cash Flow ) + [( Absolute Value of negative Cash Flow in that year)/ Total Cash Flow in the following year)]

= 5 +( 196,000 / 230,000)

= 5.852173913 Years

Hence the correct answer is 5.9 Years

Note:

Year Investment Cash Inflow Net Cash Flow
0 -14,76,000 -    -14,76,000 (Investment + Cash Inflow)
1 -    3,10,000 -11,66,000 (Net Cash Flow + Cash Inflow)
2 -    2,80,000 -8,86,000 (Net Cash Flow + Cash Inflow)
3 -    2,30,000 -6,56,000 (Net Cash Flow + Cash Inflow)
4 -    2,30,000 -4,26,000 (Net Cash Flow + Cash Inflow)
5 -    2,30,000 -1,96,000 (Net Cash Flow + Cash Inflow)
6 -    2,30,000 34,000 (Net Cash Flow + Cash Inflow)
7 -    2,30,000 2,64,000 (Net Cash Flow + Cash Inflow)
8 -    2,30,000 4,94,000 (Net Cash Flow + Cash Inflow)
9 -    2,30,000 7,24,000 (Net Cash Flow + Cash Inflow)
10 -    2,30,000 9,54,000 (Net Cash Flow + Cash Inflow)

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