Let's break down the project evaluation step by step, focusing on **incremental cash flow calculation** and **project NPV** as is typical in such cases. We'll follow the structure below: --- # Step 1: **Identify Relevant Cash Flows** ### **Initial Investment (Year )** - **Cost of equipment:** CAD 2,700,000 (thousands) - **Working capital (Year ):** CAD 270,000 (thousands) - **Research costs:** Only include if they are incremental to the project (but here, $8,000 is sunk, and $40,000 for pilot is also already spent and not incremental to the project). - Phase 2 ($8,000) and Phase 3 ($40,000) are sunk costs, so **do not include**. --- # Step 2: **Forecast Operating Cash Flows (Years 1–5)** ## **A. Calculate Revenue and Costs** ### **Adjust for Inflation** - **Selling price, working capital, and material cost:** Increase by 5% per year. - **Labour & Overhead:** Increase by 15% per year. #### **Revenue Calculation (Year n):** \[ \text{Unit Price}_{n} = \$5.00 \times (1.05)^{n-1} \] \[ \text{Production Quantity}_{n} = \text{as given in table} \] \[ \text{Revenue}_{n} = \text{Unit Price}_{n} \times \text{Production Quantity}_{n} \] #### **Material Cost (Year n):** \[ \text{Unit Material Cost}_{n} = \$1.00 \times (1.05)^{n-1} \] \[ \text{Material Cost}_{n} = \text{Unit Material Cost}_{n} \times \text{Production Quantity}_{n} \] #### **Labour & Overhead (Year n):** - Use table value × (1.15)^{n-1} --- ## **B. Calculate Net Operating Cash Flow Before Tax** \[ \text{Net Operating Cash Flow} = \text{Revenue} - \text{Material Cost} - \text{Labour} - \text{Overhead} - \text{Working Capital Increase} \] --- # Step 3: **Calculate Depreciation (CCA)** - **CCA rate:** 20% (declining balance, half-year rule applies in Year 1) - **Equipment cost:** $2,700,000 - **Year 1 CCA:** $2,700,000 \times 10\% = $270,000 - **Year 2 CCA:** $(2,700,000 - 270,000) \times 20\% = 2,430,000 \times 20\% = $486,000$ - Continue for all 5 years; unclaimed CCA is forfeited at year 5. --- # Step 4: **Calculate Taxable Income and Tax** \[ \text{Taxable Income} = \text{Net Operating Cash Flow} - \text{CCA} \] \[ \text{Tax} = \text{Taxable Income} \times 30\% \] **Tax is paid one year in arrears**, so tax paid in Year n is based on taxable income from Year n-1. --- # Step 5: **Calculate After-Tax Cash Flow** \[ \text{After-tax Cash Flow}_n = \text{Net Operating Cash Flow}_n - \text{Tax Paid}_n + \text{CCA}_n \] (Add back CCA, as it's a non-cash charge.) --- # Step 6: **Terminal Year Adjustments (Year 5)** - **Salvage Value:** $$ (so no cash inflow from equipment at the end) - **Release working capital:** Add back working capital originally invested. --- # Step 7: **Calculate NPV** \[ \text{NPV} = \sum_{n=}^{5} \frac{\text{After-tax Cash Flow}_n}{(1+.20)^n} \] (Discount at 20% as given.) --- ## Let's Do Year 1 Calculations Step-by-Step ### **Revenue (Year 1):** - Unit Price: $5.00 - Quantity: 675,000 - **Revenue:** $5.00 \times 675,000 = $3,375,000 ### **Material Cost (Year 1):** - $1.00 \times 675,000 = $675,000 ### **Labour (Year 1):** $1,013,000 ### **Overhead (Year 1):** $405,000 ### **Working Capital Increase (Year 1):** - Initial investment: $270,000 (already outflow in Year ) - Additional in Year 1: $338,000 - $270,000 = $68,000 ### **Net Operating Cash Flow (Year 1):** \[ \text{Net Operating Cash Flow} = 3,375,000 - 675,000 - 1,013,000 - 405,000 - 68,000 = 1,214,000 \] ### **CCA (Year 1):** - $2,700,000 \times 10\% = $270,000 ### **Taxable Income (Year 1):** \[ 1,214,000 - 270,000 = 944,000 \] ### **Tax (Year 1):** \[ 944,000 \times .3 = 283,200 \] (*Tax paid in Year 2*) ### **After-Tax Cash Flow (Year 1):** \[ 1,214,000 - + 270,000 = 1,484,000 \] (Tax not paid until Year 2) --- ### **Continue for Years 2–5:** - Repeat above steps using inflation adjustments and table values. --- # **Final Step: NPV Calculation** - Sum discounted net cash flows for Years to 5 at 20%. - Add back working capital in Year 5. --- ## **Summary Table Format for Solution** | Year | Cash Flows | Discounted Cash Flow | |------|-----------------|---------------------| | | ... | ... | | 1 | ... | ... | | ... | ... | ... | | 5 | ... | ... | | **NPV** | | **Final Answer** | --- ## **Conclusion** - If NPV > , the project is financially viable. --- **Would you like to see the detailed calculations for all years in a table, or is this step-by-step guide sufficient for you to proceed?**