Fisher Equation Revisited – Nominal Rate of Return, Real Rate of Return, Inflation, and Capital Maintenance

2012

Abacus

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We formulate a generalized constant growth valuation model incorporating inflation and capital maintenance. We find that in general there are two sources of growth: growth due to capital maintenance and growth due to net new investments. The generalized version of the constant growth model allows the reconciliation of the existing literature, particularly the works of Gordon and Shapiro (1956), Lally (1988), and Bradley and Jarrell (2008), which all employ particular definitions of capital maintenance. Evaluating the practical relevance of either model we find that each model is best suited for a very particular company set-up, which does not necessarily correspond to the commonly observed business models. The generalized version of the constant growth valuation model, however, presents a flexible approach that is capable of capturing various conceptions of capital maintenance.

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N C F_{t}^{B J}

, which then implies

(r^{N, B J} - Π) \cdot K_{t - 1} = N C F_{t}^{B J}

. For capital maintenance in nominal terms and the relation to the real rates refer to Kiechle and Lampenius ().…”

mentioning

confidence: 99%

Inflation and the Constant Growth Model: Reconciling the Literature

2012

Abacus

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The Terminal Value and Inflation Controversy

2012

J Applied Corp Finance

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This journal recently published what was effectively a debate between Gunther Friedl and Bernhard Schwetzler (hereafter “F&S”), on the one hand, and Michael Bradley and Gregg Jarrell (“B&J”). B&J initiated the first round of the debate by criticizing the constant growth valuation model, commonly known as the “Constant Growth Model” or “Gordon Growth Model.” The Gordon Growth Model was introduced by Myron Gordon and Eli Shapiro (“G&S”) in a 1956 paper and has long been widely used by corporate and investment practitioners. F&S responded to B&J with a defense of the original G&S formulation. In revisiting this debate, the authors find that the models B&J and F&S advocate are at bottom two different versions of the same G&S constant growth model, but with quite different assumptions about the effect of inflation on the amount of capital reinvestment required to sustain businesses over time. The authors resolve the dispute by showing that both models, when using a consistent set of assumptions about inflation and capital reinvestment, produce identical growth rates and estimates of value. At the same time, however, the authors recognize that the two models (the G&S/F&S model, on the one hand, and the B&J model on the other) are likely to be appropriate for very different kinds of companies, and each for only small subsets of companies.

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Re-Evaluation of 'Terminal Value, Accounting Numbers, and Inflation' by Gunther Friedl and Bernhard Schwetzler

2011

SSRN Journal