Math Problem Statement
Suppose that the managers of the router division of Cisco Systems are considering the development of a wireless home networking appliance, called HomeNet, that will provide both the hardware and the software necessary to run an entire home from any Internet connection. Cisco's receivables are 15.4% of sales and its payables are 14.5% of COGS. Forecast the required investment in net working capital for HomeNet assuming that sales and cost of goods sold (COGS) will be as follows:Year 0 1 2 3 4
Sales $0 $23,263 $26,283 $23,996 $8,656
COGS $0 $9,288 $10,744 $9,459 $3,536 The required investment in net working capital for year 0 is What
Solution
To forecast the required investment in net working capital (NWC) for the HomeNet project, we need to calculate accounts receivable (based on a percentage of sales) and accounts payable (based on a percentage of COGS). Then, we compute NWC as the difference between accounts receivable and accounts payable.
Given:
- Receivables are 15.4% of sales.
- Payables are 14.5% of COGS.
The formula to calculate NWC for each year is: where:
Since sales and COGS in Year 0 are both $0, the investment in net working capital for Year 0 is also $0.
Would you like me to calculate the required investment in NWC for Years 1 through 4?
Here are five follow-up questions you may find useful:
- How does a change in the percentage of receivables affect the NWC requirements?
- What would happen to NWC if COGS were to increase significantly in later years?
- How would an increase in payable days impact the NWC requirement?
- What role does NWC play in determining project cash flows?
- How does NWC affect the overall valuation of a project?
Tip: NWC is crucial for understanding a project’s liquidity needs and impacts cash flow estimates.
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Math Problem Analysis
Mathematical Concepts
Percentage calculations
Net working capital
Forecasting
Formulas
Receivables = Sales x Receivables Percentage
Payables = COGS x Payables Percentage
NWC = Receivables - Payables
Theorems
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Suitable Grade Level
Undergraduate Finance/Accounting
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