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: NWC=ReceivablesPayables\text{NWC} = \text{Receivables} - \text{Payables} where: Receivables=Sales×0.154\text{Receivables} = \text{Sales} \times 0.154 Payables=COGS×0.145\text{Payables} = \text{COGS} \times 0.145

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:

  1. How does a change in the percentage of receivables affect the NWC requirements?
  2. What would happen to NWC if COGS were to increase significantly in later years?
  3. How would an increase in payable days impact the NWC requirement?
  4. What role does NWC play in determining project cash flows?
  5. 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