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 $23,263 $26,283 $23,996 $8,656 COGS $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), we need to calculate the balances for receivables and payables, then determine the NWC for each year.

The formula for NWC is:

NWC=ReceivablesPayables\text{NWC} = \text{Receivables} - \text{Payables}

We are given:

  • Receivables = 15.4% of Sales
  • Payables = 14.5% of COGS

We will focus on Year 0 (since you’re asking for this specific year).

Step-by-Step Calculation

1. Calculate Receivables for Year 0:

Receivables (Year 0)=15.4%×Sales (Year 0)\text{Receivables (Year 0)} = 15.4\% \times \text{Sales (Year 0)} Receivables (Year 0)=0.154×23,263=3,582.50\text{Receivables (Year 0)} = 0.154 \times 23,263 = 3,582.50

2. Calculate Payables for Year 0:

Payables (Year 0)=14.5%×COGS (Year 0)\text{Payables (Year 0)} = 14.5\% \times \text{COGS (Year 0)} Payables (Year 0)=0.145×9,288=1,346.76\text{Payables (Year 0)} = 0.145 \times 9,288 = 1,346.76

3. Calculate NWC for Year 0:

NWC (Year 0)=Receivables (Year 0)Payables (Year 0)\text{NWC (Year 0)} = \text{Receivables (Year 0)} - \text{Payables (Year 0)} NWC (Year 0)=3,582.501,346.76=2,235.74\text{NWC (Year 0)} = 3,582.50 - 1,346.76 = 2,235.74

Final Answer:

The required investment in net working capital (NWC) for Year 0 is:

2,235.74\boxed{2,235.74}


Would you like to see the NWC calculations for other years, or explore additional insights?

5 Related Questions:

  1. How does NWC affect cash flow in investment projects?
  2. What happens if receivables and payables ratios change over time?
  3. How would Cisco optimize NWC to reduce cash constraints?
  4. Why is it important to forecast NWC for project analysis?
  5. How do payment terms with suppliers impact NWC?

Tip:

To maintain a healthy NWC, companies often aim to speed up receivables collection and negotiate longer payable terms with suppliers.

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Math Problem Analysis

Mathematical Concepts

Percentage Calculations
Net Working Capital (NWC)

Formulas

NWC = Receivables - Payables
Receivables = Percentage of Sales
Payables = Percentage of COGS

Theorems

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Suitable Grade Level

Grades 11-12, College Level