The payback method helps firms establish and identify a maximum acceptable payback period that helps in their capital budgeting decisions. Consider the case of Cold Goose Metal Works Inc.: Cold Goose Metal Works Inc. is a small firm, and several of its managers are worried about how soon the firm will be able to recover its initial investment from Project Beta’s expected future cash flows. To answer this question, Cold Goose’s CFO has asked that you compute the project’s payback period using the following expected net cash flows and assuming that the cash flows are received evenly throughout each year. Complete the following table and compute the project’s conventional payback period. For full credit, complete the entire table. (Note: Round the conventional payback period to two decimal places. If your answer is negative, be sure to use a minus sign in your answer.) Year 0 Year 1 Year 2 Year 3 Expected cash flow -$4,500,000 $1,800,000 $3,825,000 $1,575,000 Cumulative cash flow Conventional payback period: years The conventional payback period ignores the time value of money, and this concerns Cold Goose’s CFO. He has now asked you to compute Beta’s discounted payback period, assuming the company has a 8% cost of capital. Complete the following table and perform any necessary calculations. Round the discounted cash flow values to the nearest whole dollar, and the discounted payback period to two decimal places. For full credit, complete the entire table. (Note: If your answer is negative, be sure to use a minus sign in your answer.) Year 0 Year 1 Year 2 Year 3 Cash flow -$4,500,000 $1,800,000 $3,825,000 $1,575,000 Discounted cash flow Cumulative discounted cash flow Discounted payback period: years Which version of a project’s payback period should the CFO use when evaluating Project Beta, given its theoretical superiority? The discounted payback period The regular payback period One theoretical disadvantage of both payback methods—compared to the net present value method—is that they fail to consider the value of the cash flows beyond the point in time equal to the payback period. How much value in this example does the discounted payback period method fail to recognize due to this theoretical deficiency? $4,529,607 $2,916,953 $1,696,274 $1,250,286

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter11: Capital Budgeting And Risk
Section: Chapter Questions
Problem 12P
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The payback method helps firms establish and identify a maximum acceptable payback period that helps in their capital budgeting decisions.
Consider the case of Cold Goose Metal Works Inc.:
Cold Goose Metal Works Inc. is a small firm, and several of its managers are worried about how soon the firm will be able to recover its initial investment from Project Beta’s expected future cash flows. To answer this question, Cold Goose’s CFO has asked that you compute the project’s payback period using the following expected net cash flows and assuming that the cash flows are received evenly throughout each year.
 
Complete the following table and compute the project’s conventional payback period. For full credit, complete the entire table. (Note: Round the conventional payback period to two decimal places. If your answer is negative, be sure to use a minus sign in your answer.)
 
Year 0
Year 1
Year 2
Year 3
Expected cash flow -$4,500,000 $1,800,000 $3,825,000 $1,575,000
Cumulative cash flow
 
 
 
 
Conventional payback period:
 
 years
     
 
The conventional payback period ignores the time value of money, and this concerns Cold Goose’s CFO. He has now asked you to compute Beta’s discounted payback period, assuming the company has a 8% cost of capital. Complete the following table and perform any necessary calculations. Round the discounted cash flow values to the nearest whole dollar, and the discounted payback period to two decimal places. For full credit, complete the entire table. (Note: If your answer is negative, be sure to use a minus sign in your answer.)
 
Year 0
Year 1
Year 2
Year 3
Cash flow -$4,500,000 $1,800,000 $3,825,000 $1,575,000
Discounted cash flow
 
 
 
 
Cumulative discounted cash flow
 
 
 
 
Discounted payback period:
 
 years
     
 
Which version of a project’s payback period should the CFO use when evaluating Project Beta, given its theoretical superiority?
The discounted payback period
 
The regular payback period
 
 
One theoretical disadvantage of both payback methods—compared to the net present value method—is that they fail to consider the value of the cash flows beyond the point in time equal to the payback period.
How much value in this example does the discounted payback period method fail to recognize due to this theoretical deficiency?
$4,529,607
 
$2,916,953
 
$1,696,274
 
$1,250,286 
Expert Solution
Step 1

The process through which any project's feasibility and profitability is analyzed and evaluated is considered capital budgeting. It aids in deciding whether to infuse money into the project/investment or not and also helps in the choice of the most profitable investment among the multiple options available. There are numerous tools for capital budgeting. Payback and discounted payback period is among them. The time required to earn back the initial investment is regarded as the payback period and the time that the project's cash flow's current worth takes to earn back the investment is the discounted payback period.

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