Capital Budgeting: Techniques, Formulas, and Real-World Examples
Capital budgeting is the process companies use to evaluate long-term investment projects such as buying new equipment, launching a product, or expanding operations. Because these decisions involve large cash outflows and long time horizons, firms rely on structured techniques to determine whether a project will increase shareholder value.
1. Net Present Value (NPV)
Definition: NPV measures the difference between the present value of future cash inflows and the initial investment.
Formula:
NPV = Σ (Cash Flow / (1 + r)^t) − Initial Investment
Where r = discount rate (often WACC).
Example:
A company invests $100,000 in a project expected to generate $40,000 annually for 3 years. Discount rate = 10%.
NPV = 40,000/1.1 + 40,000/1.1² + 40,000/1.1³ − 100,000
NPV ≈ 36,364 + 33,058 + 30,053 − 100,000
NPV ≈ -$522 (approximately zero)
If NPV > 0, accept the project. If NPV < 0, reject it.
2. Internal Rate of Return (IRR)
Definition: IRR is the discount rate that makes NPV equal to zero.
Decision Rule:
Accept the project if IRR > required rate of return.
Example:
If the same $100,000 project has an IRR of 9.8% and the required return is 10%, the project should be rejected because IRR < 10%.
3. Payback Period
Definition: Time required to recover the initial investment.
Example:
Investment = $100,000
Annual cash inflow = $25,000
Payback Period = 100,000 / 25,000 = 4 years.
This method is simple but ignores time value of money and cash flows after payback.
4. Discounted Payback Period
This improves the payback method by discounting cash flows before calculating recovery time. It accounts for time value of money but still ignores long-term profitability.
5. Profitability Index (PI)
Formula:
PI = Present Value of Cash Inflows / Initial Investment
If PI > 1, accept the project.
Example:
If PV of inflows = $120,000 and initial investment = $100,000:
PI = 1.2 → Project is acceptable.
Conclusion
Among all techniques, NPV is considered the most reliable because it directly measures value creation. However, companies often use multiple methods together for better decision-making.