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A theoretical analysis of trading rules: an application to the moving average case with Markovian returns

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Author Info
Emmanuel Acar, Stephen E. Satchell
Abstract

A general framework for analysing trading rules is presented. We discuss different return concepts and different statistical processes for returns. We then concentrate on moving average trading rules and show, in the case of moving average models of length two, closed form expressions for the characteristic function of realized returns when the underlying return process follows a switching Markovian Gaussian process. An example is included which illustrates the technique.

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Publisher Info
Article provided by Taylor and Francis Journals in its journal Applied Mathematical Finance.

Volume (Year): 4 (1997)
Issue (Month): 3 (September)
Pages: 165-180
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Handle: RePEc:taf:apmtfi:v:4:y:1997:i:3:p:165-180

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Related research
Keywords: Moving Averages; Switching Markov Models; Trading Rules;

References listed on IDEAS
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  1. Leuthold, Raymond M & Garcia, Philip & Lu, Richard, 1994. "The Returns and Forecasting Ability of Large Traders in the Frozen Pork Bellies Futures Market," Journal of Business, University of Chicago Press, vol. 67(3), pages 459-73, July. [Downloadable!] (restricted)
  2. repec:att:wimass:199118 is not listed on IDEAS
  3. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March. [Downloadable!] (restricted)
  4. Blake LeBaron, . "Do Moving Average Trading Rule Results Imply Nonlinearities in Foreign Exchange?," Working papers _005, University of Wisconsin - Madison. [Downloadable!]
  5. Knight, J.L. & Stachell, S.E. & Tran, K.C., 1995. "Statistical Modeling of Asymetric Risk in Asset Returns," Papers 95-3, Saskatchewan - Department of Economics.
  6. Blume, Lawrence & Easley, David & O'Hara, Maureen, 1994. " Market Statistics and Technical Analysis: The Role of Volume," Journal of Finance, American Finance Association, vol. 49(1), pages 153-81, March. [Downloadable!] (restricted)
  7. Blake LeBaron, . "Technical Trading Rules and Regime Shifts in Foreign Exchange," Working papers _007, University of Wisconsin - Madison. [Downloadable!]
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