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...

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...

In this note, we present a simple numerical example, with a finite cash flow, to illustrate the concept of the Optimal Capital Structure (OCS). First, we assume that the discount rate for the tax benefits K_TB equals the return to unlevered equity K_U. The cost of debt K_D is a simple linear...

In this note, we discuss two fundamental principles for Cash Flow Valuation (CFV). We hope that adherence to these two principles will improve the practice of CFV. These principles are general, relatively uncontroversial, and should be acceptable as starting points for cash flow valuation....

In this note, we present a simple numerical example to illustrate the case where the growth rate for the Free Cash Flow (FCF) gU is greater than but different from the growth rate for the Cash Flow to Debt (CFD) gD. Here we assume that the value of the appropriate discount rate for the tax...

Llano-Ferro (2009) proposes a solution to avoid 'significant errors' when the Weighted Average Cost of Capital (WACC) obtained by the standard formula leads to significant errors in Net Present Value of the Firm calculations; particularly in those that apply to perpetual cash flow series. In...

In this paper Modigliani and Miller's risk class including only one type of firm to date, namely a non-net investing firm, is supplemented by a second type of firm, namely a net investing firm. One main result of the paper is the derivation of the Gordon and Shapiro growth formula within the...

The cash flow estimation is important to evaluate projects in view of adding values to the owners’ equity of a firm. Cash flow estimation is a primary requirement for capital budgeting and using project evaluation techniques. Hence, this paper provides cash flow estimation methods from an...

This study investigates the benefits of cash in a general context. First, we explicitly address the arguments of cash critics, who are calling for cash to be abolished altogether. Second, we show that cash plays a crucial role in the current two-tier banking system. Third, we are discussing a...