Why Project Effects Extend Beyond the New Product
A project can change sales elsewhere in the business. A new product may take customers from an existing product, reducing the contribution the firm would otherwise have earned. Conversely, a new product may make a related product more attractive, increasing its sales. These effects matter because capital budgeting compares the firm’s expected cash flows with the project against the cash flows it would expect without the project.
The relevant amounts are not simply the new product’s sales or the related products’ total sales. They are the changes attributable to the project, measured against a reasonable baseline. In this tutorial, operating effects are stated before tax and before financing effects; they are not, by themselves, a complete project cash-flow forecast.
Measure Contribution, Not Just Revenue
For this analysis, a product’s contribution per unit is its selling price less the variable costs that change with producing and selling that unit. Total contribution is the number of units multiplied by contribution per unit. This measure captures the contribution available to cover fixed costs and provide operating profit. It also identifies what the firm gives up when a sale of an existing product is lost.
If a project displaces an existing product sale, the firm loses that product’s contribution, not all of its revenue. The variable cost of producing the displaced unit is avoided. Similarly, a complementary sale adds its contribution after its associated variable cost, not its gross revenue. Any additional fixed operating cost caused by the project should be included separately; an existing fixed cost that does not change is not an incremental effect.
A Derivation from the Incremental Comparison
The calculation follows directly from the incremental project principle. Compare operating results with the project to operating results without it. Revenues and costs that are the same in both cases cancel. What remains is the contribution from the project’s own sales, plus changes in other products’ contributions, less any additional operating costs.
For a simple case with one new product, displaced existing sales, complementary sales, and additional fixed operating cost, let \(Q_N\) be new-product units, \(c_N\) their contribution per unit, \(Q_D\) the number of displaced existing units, \(c_D\) their contribution per unit, \(Q_S\) the additional complementary units, \(c_S\) their contribution per unit, and \(F\) the incremental fixed operating cost. Then:
The negative sign on displaced contribution is essential: those sales were expected without the project but are lost with it. A synergy term is positive only to the extent that sales increase because of the project. This derivation assumes the unit contribution figures reflect the relevant variable costs, quantities are changes relative to the baseline, and the stated incremental fixed cost is caused by the project. If a project changes variable costs, prices, or sales of several existing products, calculate each affected contribution change and include it with its proper sign.
Worked Applications
Worked Example: A New Product Takes Sales from an Existing Line
A hypothetical firm is considering a product launch. It forecasts annual sales of 8,000 units at $50 each, with variable cost of $30 per unit. The launch is expected to displace 1,500 annual sales of an existing product whose contribution is $18 per unit. Launch support would add $12,000 of annual fixed operating cost. Find the annual incremental operating effect before tax.
Method. Calculate the new product’s contribution, subtract the contribution lost on displaced existing units, and subtract the added fixed cost. The forecasted 8,000 new units are already the project’s sales estimate; do not subtract displaced units from that forecast a second time.
The new product’s contribution per unit is:
Its total contribution is:
The displaced existing product’s contribution is:
Subtract the lost contribution and added support cost:
The project adds $121,000 of annual operating contribution before tax under these assumptions. Check: the project contributes $160,000 before indirect effects, and the two negative effects total $27,000 + $12,000 = $39,000; $160,000 − $39,000 = $121,000. A common mistake is subtracting the full revenue of displaced units rather than their contribution; the variable production costs avoided on those units must be recognized.
Worked Example: Complementary Sales and Cannibalization Together
A hypothetical firm plans to sell a new bundle. It expects 3,000 bundles, each with a contribution of $26. The bundle is also expected to increase sales of a related existing product by 900 units; each additional unit contributes $15. At the same time, 400 sales of a premium service are expected to be lost, and each lost service sale would have contributed $22. The project requires an additional annual sales-team cost of $10,000. Estimate the annual incremental operating effect before tax.
Method. Add the new bundle’s contribution and the attributable complementary-product contribution, then subtract the contribution lost through cannibalization and the incremental sales-team cost.
New bundle contribution:
Additional contribution from the related product:
Lost contribution from the premium service:
Combine the four effects:
The estimated annual incremental operating effect is $72,700 before tax. Check: positive contributions total $91,500; lost contribution and added cost total $18,800; their difference is $72,700. The common mistake this method avoids is treating all changes in related-product sales as either a cost or a benefit without checking whether they are increases or decreases relative to the baseline.
Worked Example: Comparing Annual Effects with a Changing Baseline
A hypothetical firm forecasts a two-year project. In year 1, it expects to sell 4,000 new units with a contribution of $17 per unit. In year 2, it expects 5,000 new units at the same contribution. The project is expected to displace 600 existing units in year 1 and 1,000 in year 2; each displaced unit contributes $11. It is also expected to add 500 complementary sales in year 1 and 700 in year 2; each complementary unit contributes $8. Incremental support costs are $16,000 in year 1 and $19,000 in year 2. Calculate the incremental operating effect for each year before tax.
Method. Apply the incremental comparison separately to each year. Do not use one year’s sales changes or cost estimate as a substitute for the other year’s forecast.
Year 1. New-product contribution is \(4{,}000 \times \$17 = \$68{,}000\). Lost contribution is \(600 \times \$11 = \$6{,}600\). Complementary contribution is \(500 \times \$8 = \$4{,}000\). Therefore:
Year 2. New-product contribution is \(5{,}000 \times \$17 = \$85{,}000\). Lost contribution is \(1{,}000 \times \$11 = \$11{,}000\). Complementary contribution is \(700 \times \$8 = \$5{,}600\). Therefore:
The annual incremental operating effects are $49,400 in year 1 and $60,600 in year 2. Check: in year 1, $68,000 + $4,000 − $6,600 − $16,000 = $49,400; in year 2, $85,000 + $5,600 − $11,000 − $19,000 = $60,600. A common mistake is to assume the baseline and project effects remain constant across years when the forecast explicitly changes.
Attribution and Common Exam Traps
The hardest judgment is often not the arithmetic but deciding which changes are genuinely caused by the project. If complementary-product sales would have risen anyway, only the increase beyond that baseline is synergy. If a competitor’s actions or a general market trend would have reduced existing-product sales even without the project, do not attribute that whole decline to cannibalization. Use the difference between the with-project forecast and the no-project forecast.
Likewise, do not count an existing product’s entire sales volume as a project benefit merely because it is sold alongside the new product. Only the incremental units—or other incremental changes in price or cost—belong in the project estimate. If the project affects several products, compute each affected product’s contribution change separately before combining the results.
- Subtracting revenue instead of contribution: for displaced sales, subtract lost revenue and add the avoided variable cost, or directly subtract lost contribution. Do not subtract revenue alone.
- Counting gross complementary sales: a synergy contributes the additional product’s contribution after its variable costs, not its full selling price.
- Using total sales rather than changes: compare with-project sales with the no-project baseline. The existing sales that would occur in either case cancel.
- Double counting: if a sales forecast for the new product already accounts for customers switching from an existing product, do not reduce new-product units again. Still include the lost contribution on the existing product if it is not already represented elsewhere in the incremental comparison.
- Including costs that do not change: a pre-existing fixed cost is not incremental merely because the project uses the same department or facility. Include costs only when they change because of the project.
These adjustments improve the estimate of the project’s operating effects, but they do not complete the entire capital-budgeting analysis. Other project cash-flow components and tax treatment must be considered separately when constructing the full forecast.
Check Your Understanding
For each problem, compare the project outcome with the stated no-project baseline. Treat contribution figures as before tax.
- A hypothetical project sells 2,000 units at a contribution of $14 per unit. It displaces 300 existing units that contribute $9 each, with no other effects or added fixed costs. What is the incremental operating effect? (Answer: $25,300)
- A new product contributes $28 per unit and sells 1,200 units. It adds 250 sales of a complementary product with contribution of $10 per unit, displaces 400 units of another product with contribution of $15 per unit, and requires $4,000 of additional fixed operating cost. Find the incremental operating effect. (Answer: $26,100)
- A project’s new product contributes $14 per unit and is forecast to sell 2,600 units. It adds 300 complementary sales at $12 contribution each, displaces 400 existing sales at $18 contribution each, and adds $9,000 of fixed operating cost. Calculate the incremental operating effect. (Answer: $23,800)
- For a two-year project, new-product contribution is $20 per unit. Year 1 forecasts 1,000 new units, 200 displaced units at $8 contribution each, 150 complementary units at $12 contribution each, and $5,000 of added fixed cost. Year 2 forecasts 1,500 new units, 500 displaced units, 250 complementary units, and $6,000 of added fixed cost. Find the effect in each year. (Answer: Year 1, $15,200; Year 2, $23,000)
- A project sells 2,400 units at $10 contribution each. Related-product sales are forecast to rise by 700 units, but only 60% of that increase is attributable to the project; each such unit contributes $12. The project also displaces 350 units with contribution of $16 each and adds $5,000 of fixed operating cost. Find the incremental operating effect. (Answer: $18,440)