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Cost of Equity and Weighted Average Cost of Capital for Perpetuities, with Constant Growth

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  • Felipe MEJIA-PELAEZ
  • Ignacio VELEZ-PAREJA

Abstract

This article presents a formal derivation of general expressions for cost of equity (Ke) and weighted average cost of capital (WACC) in perpetuities with constant growth, which do not make any assumption on what the proper discount rate is to be applied to the firm's tax shield. The formulas are complemented with numerical examples of their application. Furthermore, because the most widely known approaches to firm's market value and equity estimation make either an implicit or explicit assumption on the value the mentioned rate should take, expressions of the adequate rate on each one of those cases are presented. In addition, a formula for the calculation of the impact on the firm and equity value of a variation on the discount rate for tax shield is proposed, which yields exact results for changes of any size.

Suggested Citation

  • Felipe MEJIA-PELAEZ & Ignacio VELEZ-PAREJA, 2010. "Cost of Equity and Weighted Average Cost of Capital for Perpetuities, with Constant Growth," The Valuation Journal, The National Association of Authorized Romanian Valuers, vol. 5(2), pages 88-121.
    • Handle: RePEc:vaj:journl:v:5:y:2010:i:2:p:88-121
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    More about this item

    JEL classification:

    • M21 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics - - - Business Economics
    • M40 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - General
    • M41 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - Accounting
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies
    • J33 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Compensation Packages; Payment Methods

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