Math Problem Statement

he above balance sheet account balances are for a firm whose project has just been approved. What is the impact of net working capital to the project's total cash flows in year 2? If the cash flow impact is negative, enter a negative number 0 1 2 3 4 Recievables 0 22750 26000 28000 20000 Inventory 35000 42160 38500 45000 12500 Payables 15000 30000 27450 32500 15000

Solution

To calculate the impact of net working capital (NWC) on the project's total cash flows in year 2, we first need to understand how changes in NWC affect cash flows. NWC is defined as:

NWC=Receivables+InventoryPayables\text{NWC} = \text{Receivables} + \text{Inventory} - \text{Payables}

The change in NWC from one period to the next will affect cash flows: an increase in NWC implies that cash is tied up in working capital, resulting in a negative impact on cash flows, while a decrease in NWC releases cash, resulting in a positive impact.

Step 1: Calculate NWC for Year 1 and Year 2

Using the values provided:

Year 1 NWC

NWCYear 1=22750+4216030000=34910\text{NWC}_{\text{Year 1}} = 22750 + 42160 - 30000 = 34910

Year 2 NWC

NWCYear 2=26000+3850027450=37050\text{NWC}_{\text{Year 2}} = 26000 + 38500 - 27450 = 37050

Step 2: Calculate the Change in NWC from Year 1 to Year 2

Change in NWC=NWCYear 2NWCYear 1=3705034910=2140\text{Change in NWC} = \text{NWC}_{\text{Year 2}} - \text{NWC}_{\text{Year 1}} = 37050 - 34910 = 2140

Step 3: Interpret the Impact on Cash Flow

Since the NWC increased by 2140 from Year 1 to Year 2, this increase represents cash tied up in working capital, which has a negative impact on cash flows in Year 2.

Final Answer

The impact of net working capital on the project's total cash flows in Year 2 is: Impact on Cash Flow=2140\text{Impact on Cash Flow} = -2140

Would you like a further breakdown or details on other aspects of this calculation?

Here are 5 related questions for further exploration:

  1. How does NWC impact cash flows in the other years (e.g., Year 1 or Year 3)?
  2. What specific changes in receivables, inventory, and payables contributed to the cash flow impact?
  3. How would changes in payables or receivables alone influence the NWC?
  4. Can optimizing inventory management improve NWC and cash flow?
  5. What are typical strategies to manage NWC effectively for project-based firms?

Tip: Tracking changes in NWC regularly helps assess liquidity and optimize cash flow, especially in projects with varying demand.

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Math Problem Analysis

Mathematical Concepts

Net Working Capital
Cash Flow Analysis

Formulas

Net Working Capital (NWC) = Receivables + Inventory - Payables
Change in NWC = NWC_Year2 - NWC_Year1

Theorems

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Suitable Grade Level

Undergraduate (Finance/Accounting)