Abstract |
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viii | |
Acknowledgments |
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ix | |
Preface |
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xi | |
Prelude: Introducing a Maverick in Science |
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xvii | |
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Benoit Mandelbrot, the "father" of fractals, has made a career of going against the prevailing fashions in science. |
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Part I. The Old Way |
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Chapter 1 Risk, Ruin, and Reward |
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3 | |
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"Modern" financial theory is founded on a few, shaky myths that lead us to underestimate the real risk of financial markets. |
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Chapter II By the Toss of a Coin or the Flight of an Arrow? |
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25 | |
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How the operations of mere chance can be used to study a financial market. |
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Chapter III Bachelier and His Legacy |
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The study of financial theory began a century ago with a brilliant hut undervalued French mathematician, Louis Bachelier. |
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Chapter IV The House of Modern Finance |
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How the edifice of modern financial theory—valuing assets, building portfolios and assessing risk—was erected on Bachelier's work. |
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Chapter V The Case Against the Modern Theory of Finance |
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79 | |
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Orthodox financial theory is riddled with false assumptions and wrong results. |
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A summary of the evidence against it. |
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Pictorial Essay: Images of the Abnormal |
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88 | |
Part II. The New Way |
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Chapter VI Turbulent Markets: A Preview |
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111 | |
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Financial markets are turbulent—like the wind or the flood. |
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An introduction to the fractal view of finance. |
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Chapter VII Studies in Roughness: A Fractal Primer |
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123 | |
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How is a stock-price chart like the leaves of a fern? |
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A survey of fractal geometry. |
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Pictorial Essay: A Fractal Gallery |
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132 | |
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Chapter VIII The Mystery of Cotton |
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147 | |
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The first clue to the fractal view of finance came in a study of cotton by Mandelbrot. |
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An account of his scientific journey. |
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Chapter IX Long Memory, from the Nile to the Marketplace |
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173 | |
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The second clue to fractal finance came from lifelong study of the Nile River by an English hydrologist, H.E. Hurst. |
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Chapter X Noah, Joseph, and Market Bubbles |
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197 | |
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The two critical features of financial markets are wild price swings and long-term dependence—the Noah Effect and the Joseph Effect. |
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Chapter XI The Multifractal Nature of Trading Time |
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207 | |
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In financial markets, time speeds up and slows down—as described in the multifractal model of markets. |
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Part III. The Way Ahead |
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Chapter XII Ten Heresies of Finance |
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225 | |
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How do financial markets really work? |
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A list of key insights provided by the 'racial view of finance. |
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253 | |
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So how can the study of fractals change finance? |
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A program for future research. |
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Notes |
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277 | |
Bibliography |
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303 | |
Index |
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316 | |