Tax Shields, the Weighted Average Cost of Capital, and the Appropriate Discount Rate for a Project with a Finite Useful Life
Bibliographic record
Abstract
The standard formulas for calculating the value of a firm’s tax shield and its weighted average cost of capital (WACC) use the assumption that the underlying cash flows are perpetuities. Yet, most projects will have a finite useful life. Because the perpetuity approach will overstate the value of a finite-life project’s tax shield, this factor will pressure the perpetuity-formula WACC to be less than the finite-life WACC. However, a large portion of the value of a perpetual tax shield can be attributed to interest payments during the next 5, 10, or 25 years, making it possible for the perpetuity-formula WACC to be greater than the finite-life WACC. Using a series of numerical examples, this paper shows that the finite-life WACC can be either higher or lower than the perpetuity-formula WACC depending on the project’s useful life, the required return on the unlevered project, the firm’s capital structure, the cost of debt, the marginal tax rate, and the debt repayment pattern (e.g., coupon bonds or amortizing loans). The analysis in this article helps managers better understand the potential biases introduced into the capital budgeting process when using the perpetuity-formula WACC to evaluate projects with finite useful lives.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.003 | 0.018 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.004 | 0.006 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.002 | 0.003 |
| Insufficient payload (model declined to judge) | 0.005 | 0.001 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".