when the annual cash flows are unequal the payback period is computed by adding the annual cash flows until such time as the original investment is recovered. if a fraction of a year is needed, it is assumed that the cash flows occur evenly within each year. the steps for determining the payback with uneven cash flows is as follows: 1. add the annual cash flows to one another until the investment is recovered. 2. for each full Year's worth of cash flows consumed add that Year to your calculation for total payback years. 3. if you arrive at a point where only part of the year's cash flows are needed only add the fraction of the years cash flow is relevant to recovering the initial investment to the total payback years. 4. if the unrecovered investment is greater than the annual cash flow the payback period is one. if the unrecovered investment is less than the annual cash flow the time needed for payback is computed by dividing the unrecovered investment by the annual cash flow for that year.

1. For years in which the annual cash flow exceeds the unrecovered investment, this is the unrecovered Investment divided by the annual cash flow for that year. Then Unrecovered Annual Time Needed N 1 year Investment Cash Flow for Payback Unrecovered Annual Time Needed Unrecovered Investment Investment Cash Flow for Payback Annual Cash Flow for the Year Compute the time needed for payback for the following example assuming the investment required an up-front capital outlay of $100,000 and the uneven annual cash flows for each year are provided in the table. If an amount is zero, enter "0". For the time needed for payback, enter your answer to one decimal place, if less than one year (i.e. 0.2, 0.5, etc.). Unrecovered Investment 42 Year Annual Cash Flow Time Needed for Payback (Beginning of year) $100,000 $10,000 1 year 20,000 M 30,000 40,000 50,000 Total time needed for payback (to the nearest tenth of a year) = years Check My Work