This paper presents a formal derivation of general expressions for Ke and 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, and are complemented with numerical examples of its application....

This paper proposes a new discounted cash flows' valuation setup, and derives a general expression for the tax shields' discount rate. This setup applies to any debt policy and any cash flow pattern. It only requires the equality at any time between the assets side and the liabilities side of...

To value shares there are two usual methods that, if properly applied, provide the same value: 1/ Present value of expected free cash flows (FCF) discounted with the WACC rate and then, subtract the value of debt; and 2/ Present value of expected equity cash flows (ECF) discounted with the Ke...

This paper presents a real valuation performed by a well-known investment bank, with two common errors and with two very different values for the equity of a firm:a) €6,9 million calculating the Present Value of expected free cash flows (FCF) discounted with the WACC rate and then, subtracting...

There are various valuation methodologies applicable to both the financial evaluation of projects as to the valuation of companies. First, have developed methods of Discounted Cash Flows (DCF), which allow discounting, or bring to present value, a series of projected future cash flows over time....

In this short note, we present a nontechnical retrospection on the unbearable longevity of the classic WACC (Weighted Average Cost of Capital) for the Free Cash Flow (FCF) in perpetuity. Over the past two decades, researchers in finance have increased greatly our understanding of the properties...

This is an annotated appendix that accompanies the paper. In this note, we provide detailed commentary on a numerical example that illustrates the ideas that we discuss in the main paper. The numerical example is in Table18.10, Chapter 8, page 656, of the third edition of Corporate Finance,...

In this note, we extend a numerical example in the textbook by Berk & DeMarzo that matches methods for only when K_TS is equal to K_D. We show that there is a generalized formulation for the return to levered equity K_E that works for any value of K_TS, the appropriate discount rate for the tax...

The aim of the article is to present the method of establishing equity shares in weight average cost of capital (WACC), in which the value of loan capital results from the fixed assumptions accepted in the financial plan (for example a schedule of loan repayment) and own equity is evaluated by...

A simple counterexample shows the the widely used WACC approach to value leverage firms developed by Miles and Ezzell can create an arbitrage opportunity. The only consequence to be drawn is that their WACC approach cannot be applied under the circumstances assumed by Miles and Ezzell.