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 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 Year Annual Cash Flow Time Needed for Payback (Beginning of year) 1 $100,000 $20,000 1 year 2 30,000 40,000 50,000

International Financial Management
14th Edition
ISBN:9780357130698
Author:Madura
Publisher:Madura
Chapter14: Multinational Capital Budgeting
Section: Chapter Questions
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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 cash flows occur evenly within
each year.
The steps for determining the payback period 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 year's cash flows 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 "1". 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 than year.
+ Explanation of Time Needed for Payback with uneven cash flows
Note: For each year in which the unrecovered investment meets or exceeds the annual cash flow, this is
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.
If
Then
Unrecovered
Annual
Time Needed
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
Year
Annual Cash Flow
Time Needed for Payback
(Beginning of year)
1
$100,000
$20,000
1 year
2
30,000
3
40,000
4
50,000
5
60,000
Total time needed for payback (to the nearest tenth of a year)
years
Transcribed Image Text: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 cash flows occur evenly within each year. The steps for determining the payback period 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 year's cash flows 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 "1". 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 than year. + Explanation of Time Needed for Payback with uneven cash flows Note: For each year in which the unrecovered investment meets or exceeds the annual cash flow, this is 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. If Then Unrecovered Annual Time Needed 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 Year Annual Cash Flow Time Needed for Payback (Beginning of year) 1 $100,000 $20,000 1 year 2 30,000 3 40,000 4 50,000 5 60,000 Total time needed for payback (to the nearest tenth of a year) years
Expert Solution
Step 1

The payback period is the time required by the company to recover its initial investment, it doesn't consider the present value of cash flows. The company usually wants the payback period to be less, so that profit can be earned. 

Given,

An initial outlay is $100,000.

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