Absolutely, let's break down your question step-by-step: ### 1. **Understanding Sensitivity Analysis** **Sensitivity analysis** is a technique used to determine how different values of an independent variable (input) affect a particular dependent variable (output) under a given set of assumptions. In capital budgeting or investment analysis, it helps in assessing how sensitive the project's outcomes (like NPV, IRR) are to changes in key assumptions. --- ### 2. **Cannibalization Effect** When a new product line is introduced, it may decrease the sales of the firm’s existing products. This is known as **cannibalization**. The decrease you mention ($50,000 annually) represents sales the company will lose from its existing lines due to the new product. --- ### 3. **Should Cannibalization Be Considered?** **Yes, it should be considered.** **Why?** Because when evaluating a new project, you should consider **all relevant cash flows**, including negative impacts on existing products. Failing to account for cannibalization would **overstate** the benefits of the new product line. Relevant cash flows are the ones that change as a direct result of the investment decision. --- ### 4. **How to Include Cannibalization in Your Analysis** - **Annual Decrease in Sales:** $50,000 - **This is a cash outflow (negative cash flow) every year.** - In your project cash flow analysis, **subtract $50,000 from the annual inflows** of the new product line to reflect the lost sales from other products. #### **Step-by-Step:** Let's assume the new product line would generate $200,000 in annual cash inflows **before** considering cannibalization. 1. **Calculate Adjusted Cash Inflow:** \[ \text{Net Annual Cash Inflow} = \text{Cash Inflow from New Product} - \text{Lost Sales from Existing Products} \] \[ \text{Net Annual Cash Inflow} = \$200,000 - \$50,000 = \$150,000 \] 2. **Use this net figure in your NPV or IRR calculations.** - Discount the **net** cash flows at your firm's required rate of return. - Calculate NPV, IRR, or payback period as usual, but always use **net cash flows including cannibalization**. #### **Example Table:** | Year | Cash Inflow (New Product) | Lost Sales (Cannibalization) | Net Cash Inflow | |------|--------------------------|------------------------------|-----------------| | 1 | $200,000 | -$50,000 | $150,000 | | 2 | $200,000 | -$50,000 | $150,000 | | ... | ... | ... | ... | --- ### 5. **Sensitivity Analysis on Cannibalization** As part of sensitivity analysis, you might also **vary the cannibalization estimate** (e.g., what if it’s only $30,000 or as high as $70,000?) and recalculate the NPV or IRR to see how sensitive your project is to this assumption. --- ### **Final Answer** **Yes, the expected decrease in other product lines' sales ($50,000 annually) should be considered in the analysis, because it is a relevant cash flow directly attributable to the new product line. You should subtract this amount from the annual cash inflows generated by the new product when calculating the project's net cash flows for NPV, IRR, or other investment metrics. This ensures your analysis reflects the true incremental benefit (or cost) of the new product.** --- **Summary Table:** | Year | Cash Inflow from New Product | Lost Sales (Cannibalization) | Net Cash Inflow (used in analysis) | |------|-----------------------------|------------------------------|------------------------------------| | 1 | $200,000 | -$50,000 | $150,000 | | 2 | $200,000 | -$50,000 | $150,000 | | ... | ... | ... | ... | **Always account for cannibalization in your sensitivity analysis!**