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An Arbitrage Model for Calculating Firm Beta at Different Leverage Levels
Author(s) -
Alka Bramhandkara,
June Cheng,
Julie Fitzpatrick
Publication year - 2012
Publication title -
accounting and finance research
Language(s) - English
Resource type - Journals
eISSN - 1927-5994
pISSN - 1927-5986
DOI - 10.5430/afr.v1n2p207
Subject(s) - portfolio , arbitrage , debt , beta (programming language) , leverage (statistics) , economics , stock (firearms) , econometrics , financial economics , mathematics , finance , statistics , computer science , mechanical engineering , engineering , programming language

Traditionally, the Hamada Equation is used to estimate a firm’s levered beta. However, a major drawback of the Hamada Equation is its assumption that the cost of debt is equal to the risk free rate at all levels of debt. In this paper, we develop an alternative model that could be applied by practitioners to estimate levered betas. The primary advantage of our approach is that it does not require Hamada’s assumption that the cost of debt is equal to the risk free rate. Our model is based on the concept that the target or proposed debt level for the firm being evaluated can be replicated via a stock portfolio. In an efficient market where arbitrage can occur, the beta for the firm at the target debt level may be derived from the beta of the replicated stock portfolio.

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