The Markov Switching Multi-fractal Model of Asset Returns
Author | : Hwa Taek Lee |
Publisher | : |
Total Pages | : 175 |
Release | : 2007 |
Genre | : |
ISBN | : |
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Author | : Hwa Taek Lee |
Publisher | : |
Total Pages | : 175 |
Release | : 2007 |
Genre | : |
ISBN | : |
Author | : Hwa Taek Lee |
Publisher | : |
Total Pages | : |
Release | : 2010 |
Genre | : |
ISBN | : |
Author | : Ruipeng Liu |
Publisher | : |
Total Pages | : 13 |
Release | : 2008 |
Genre | : |
ISBN | : |
Author | : Laurent E. Calvet |
Publisher | : Academic Press |
Total Pages | : 273 |
Release | : 2008-10-13 |
Genre | : Business & Economics |
ISBN | : 0080559964 |
Calvet and Fisher present a powerful, new technique for volatility forecasting that draws on insights from the use of multifractals in the natural sciences and mathematics and provides a unified treatment of the use of multifractal techniques in finance. A large existing literature (e.g., Engle, 1982; Rossi, 1995) models volatility as an average of past shocks, possibly with a noise component. This approach often has difficulty capturing sharp discontinuities and large changes in financial volatility. Their research has shown the advantages of modelling volatility as subject to abrupt regime changes of heterogeneous durations. Using the intuition that some economic phenomena are long-lasting while others are more transient, they permit regimes to have varying degrees of persistence. By drawing on insights from the use of multifractals in the natural sciences and mathematics, they show how to construct high-dimensional regime-switching models that are easy to estimate, and substantially outperform some of the best traditional forecasting models such as GARCH. The goal of Multifractal Volatility is to popularize the approach by presenting these exciting new developments to a wider audience. They emphasize both theoretical and empirical applications, beginning with a style that is easily accessible and intuitive in early chapters, and extending to the most rigorous continuous-time and equilibrium pricing formulations in final chapters. Presents a powerful new technique for forecasting volatility Leads the reader intuitively from existing volatility techniques to the frontier of research in this field by top scholars at major universities The first comprehensive book on multifractal techniques in finance, a cutting-edge field of research
Author | : Julien Idier |
Publisher | : |
Total Pages | : 39 |
Release | : 2008 |
Genre | : |
ISBN | : |
Author | : Fei Chen |
Publisher | : |
Total Pages | : 61 |
Release | : 2012 |
Genre | : Economics |
ISBN | : |
We propose and illustrate a Markov-switching multi-fractal duration (MSMD) model for analysis of inter-trade durations in financial markets. We establish several of its key properties with emphasis on high persistence (indeed long memory). Empirical exploration suggests MSMD's superiority relative to leading competitors.
Author | : |
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Total Pages | : |
Release | : 2003 |
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Author | : David Carfi |
Publisher | : American Mathematical Soc. |
Total Pages | : 384 |
Release | : 2013-10-24 |
Genre | : Mathematics |
ISBN | : 0821891480 |
This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoît Mandelbrot, held January 4-7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume cover fractal geometry and various aspects of dynamical systems in applied mathematics and the applications to other sciences. Also included are articles discussing a variety of connections between these subjects and various areas of physics, engineering, computer science, technology, economics and finance, as well as of mathematics (including probability theory in relation with statistical physics and heat kernel estimates, geometric measure theory, partial differential equations in relation with condensed matter physics, global analysis on non-smooth spaces, the theory of billiards, harmonic analysis and spectral geometry). The companion volume (Contemporary Mathematics, Volume 600) focuses on the more mathematical aspects of fractal geometry and dynamical systems.
Author | : Waleem Babatunde Alausa |
Publisher | : |
Total Pages | : 237 |
Release | : 2014 |
Genre | : Econometrics |
ISBN | : |
The overall purpose of this thesis is to extend and apply the Markov Switching Multifractal (MSM) model to various economic problems. To this extent, Chapter 1 lays the ground work for the next chapters by reviewing the MSM model, discussing its properties and outlining its estimation procedures. The chapter also reviews the distributional properties of several commodity markets that make them amenable to the MSM model. Chapter 2 extends the MSM model by incorporating a vector error correction component, which includes in the conditional mean equation, the cointegrating relationship between spot and futures prices. The VECM-MSM model has two distinctive features that incorporate the empirical properties of asset prices. First, it includes an error correction mechanism in the mean equation that incorporates the long-run relationship between spot and futures prices. Second, the model specifies the conditional second moments as a bivariate Markov Switching Multifractal (MSM) model. The VECM-MSM model is applied to study the problem of risk hedging in the futures market. The hedging effectiveness of the proposed VECM-MSM model is evaluated, using a value-at-risk (VaR) approach. Specifically, we compare the hedging effectiveness of the proposed model to those of alternative models by assessing their unconditional and conditional VaR coverages. Models are then ranked in terms of the adequacy and accuracy of their hedged portfolio VaR. The in-sample and out-of-sample hedge effectiveness shows that the VECM-MSM hedged portfolio outperforms alternative hedging strategies in terms of having the lowest rate of VaR violations among the different strategies. Statistical tests of unconditional and conditional coverages also show that the VECM-MSM model better predicts an investor's downside risk in that the VaR predictions are more accurate than the predictions from the alternative models. Chapter 3 of this thesis investigates the excess commodity comovement phenomenon, using the MSM model. One of the stylized facts of commodity prices is their tendency for comovement. The phenomenon implies that seemingly unrelated commodities tend to move together beyond what can be attributed to fundamentals, such as demand and supply conditions, exchange rates, interest rates, industrial production etc. Excess commodity comovement bears significant welfare and risk management implications. For an instance, a synchronous rise in prices of commodities exerts significant inflationary pressure on commodity import dependent countries, and limits their ability to maintain economic stability and resist inflationary pressures. Moreover, to the extent that comovement measures, such as correlation and covariance among commodities, comprise an essential ingredient in risk assessment, pricing, portfolio management and hedging, failure to account for such excess comovement can lead to sub-optimal economic decisions. Therefore within the debate on excess commodity comovement, the objective of this chapter is twofold. First, it analyzes the degree of excess commodity comovement across a variety of commodities. Second, it analyzes the frequency-dependent nature of comovement across related (e.g. crude and heating oil) and unrelated commodities (e.g. copper and corn). First, we find that there is significant comovement between commodity prices, beyond what can simply be explained by macroeconomic fundamentals. Second, decomposing comovements into multiple frequencies, we find that all commodities exhibit long-run excess comovements which are driven by low frequency fundamentals such as weather, demographic and macroeconomic factors. But some commodities also exhibit significant short-run excess comovements that may be attributable to short-run factors such as liquidity constraints, indexation, etc. Third, the dynamic correlations show that excess comovements are higher in periods of high volatility and vice-versa. The final chapter applies a new class of model, the Autoregressive Markov switching multifractal model, for forecasting spot electricity prices. Three variants of the model are examinedEmploying hourly prices from the AESO market, the parameters of the ARX-MSM models are estimated, and one-step-ahead hourly forecasts are obtained. To put the performance of the ARX-MSM models into perspective, the results are compared to those of other notable models used in the literature, namely the AR(1), ARX, ARX-GARCH, mean-reverting jump and the 2-state independent Markov regime switching models. Goodness-of-fit tests indicate that the ARX-MSM models fit the data significantly better than the competing models. Likewise, out-of-sample results show that the ARX-MSM models provide better forecast accuracy.
Author | : Shu-Heng Chen |
Publisher | : Oxford University Press |
Total Pages | : 785 |
Release | : 2018 |
Genre | : Business & Economics |
ISBN | : 0199844372 |
The Oxford Handbook of Computational Economics and Finance provides a survey of both the foundations of and recent advances in the frontiers of analysis and action. It is both historically and interdisciplinarily rich and also tightly connected to the rise of digital society. It begins with the conventional view of computational economics, including recent algorithmic development in computing rational expectations, volatility, and general equilibrium. It then moves from traditional computing in economics and finance to recent developments in natural computing, including applications of nature-inspired intelligence, genetic programming, swarm intelligence, and fuzzy logic. Also examined are recent developments of network and agent-based computing in economics. How these approaches are applied is examined in chapters on such subjects as trading robots and automated markets. The last part deals with the epistemology of simulation in its trinity form with the integration of simulation, computation, and dynamics. Distinctive is the focus on natural computationalism and the examination of the implications of intelligent machines for the future of computational economics and finance. Not merely individual robots, but whole integrated systems are extending their "immigration" to the world of Homo sapiens, or symbiogenesis.