Cover image for INTRODUCTION TO WAVELET THEORY IN FINANCE : A WAVELET MULTISCALE APPROACH.
INTRODUCTION TO WAVELET THEORY IN FINANCE : A WAVELET MULTISCALE APPROACH.
Title:
INTRODUCTION TO WAVELET THEORY IN FINANCE : A WAVELET MULTISCALE APPROACH.
Author:
In, Francis.
ISBN:
9789814397841
Personal Author:
Physical Description:
1 online resource (213 pages)
Contents:
Contents -- 1. Methodology: Introduction to Wavelet Analysis -- 1.1 Introduction -- 1.2 Fourier Analysis and Spectral Analysis -- 1.2.1 Fourier analysis -- 1.2.2 Spectral analysis -- 1.2.3 Comparison between Fourier transform and wavelet transform -- 1.3 Wavelet Analysis -- 1.3.1 Continuous wavelet transform -- Scale of wavelets -- Shifting of wavelets -- 1.3.2 Discrete wavelet transform -- 1.3.3 Maximal overlap discrete wavelet transform -- 1.3.4 Boundary condition -- Periodic boundary -- Reflection boundary -- Brick wall condition -- 1.4 Wavelet Variance, Covariance and Correlation -- 1.4.1 Wavelet variance -- 1.4.2 Wavelet covariance and correlation -- 1.4.3 Cross wavelet covariance and correlation -- 1.5 Long Memory Estimation Using Wavelet Analysis -- 1.5.1 Definitions of long memory -- 1.5.2 Wavelet ordinary least square -- 1.5.3 Approximate maximum-likelihood estimation of the long memory parameter -- 1.5.4 Another estimation method of the long memory parameter -- 2. Multiscale Hedge Ratio Between the Stock and Futures Markets: A New Approach Using Wavelet Analysis and High Frequency Data -- 2.1 Introduction -- 2.2 Minimum Variance Hedge -- 2.3 Empirical Results -- 2.4 Concluding Remarks -- 3. Modeling the International Links Between the Dollar, Euro and Yen Interest Rate Swap Markets Through a Multiscaling Approach -- 3.1 Introduction -- 3.2 Data and Descriptive Statistics -- 3.3 Empirical Results -- 3.4 Concluding Remarks -- 4. Long Memory in Rates and Volatilities of LIBOR: Wavelet Analysis -- 4.1 Introduction -- 4.2 Data and Empirical Results -- 4.3 Summary and Concluding Remarks -- 5. Cross-Listing and Transmission of Pricing Information of Dually-Listed Stocks: A New Approach Using Wavelet Analysis -- 5.1 Introduction -- 5.2 Data Description and Basic Statistics -- 5.3 Empirical Results -- 5.4 Concluding Remarks.

Appendix. The market values of sample companies as of 2002 -- 6. On the Relationship Between Stock Returns and Risk Factors: New Evidence From Wavelet Analysis -- 6.1 Introduction -- 6.2 Data and Basic Statistics -- 6.3 Empirical Results -- 6.3.1 Results from the traditional CAPM -- 6.3.2 Results using two risk factors: Excess market returns and SMB -- 6.3.3 Results using three factors: Excess market returns, SMB and HML -- 6.4 Concluding Remarks -- 7. Can the Risk Factors Explain the Cross-Section of Average Stock Returns in the Long Run? -- 7.1 Introduction -- 7.2 Data and Basic Statistics -- 7.3 Empirical Results -- 7.3.1 Traditional CAPM context -- 7.3.2 Fama-French three factor model -- 7.3.3 Fama-French three-factor model augmented by the momentum factor -- 7.4 Conclusion -- 8. Multiscale Relationships Between Stock Returns and Inflations: International Evidence -- 8.1 Introduction -- 8.2 Research Methodologies -- 8.2.1 The multi-scale hedge ratio -- 8.2.2 The bootstrap approach -- 8.3 Data and Empirical Results -- 8.4 Summary and Concluding Remarks -- Appendix A. Data sources -- 9. Mutual Fund Performance and Investment Horizon -- 9.1 Introduction -- 9.2 Sharpe Ratio at Different Investment Horizons -- 9.3 Data and Empirical Results -- 9.3.1 Data -- 9.3.2 Rank correlation between investment horizons -- 9.3.3 Robustness of the findings -- 9.4 Concluding Remarks -- 10. A New Assessment of US Mutual Fund Returns Through a Multiscaling Approach -- 10.1 Introduction -- 10.2 Empirical Method -- 10.2.1 Multiscaling approach -- 10.2.2 The bootstrap approach -- 10.3 Data and Empirical Results -- 10.3.1 Estimation results for the three aggregate groups -- 10.3.2 Estimation results for individual mutual funds -- 10.4 Summary and Concluding Remarks -- References -- Index.
Abstract:
This book offers an introduction to wavelet theory and provides the essence of wavelet analysis - including Fourier analysis and spectral analysis; the maximum overlap discrete wavelet transform; wavelet variance, covariance, and correlation - in a unified and friendly manner. It aims to bridge the gap between theory and practice by presenting substantial applications of wavelets in economics and finance.This book is the first to provide a comprehensive application of wavelet analysis to financial markets, covering new frontier issues in empirical finance and economics. The first chapter of this unique text starts with a description of the key features and applications of wavelets. After an overview of wavelet analysis, successive chapters rigorously examine the various economic and financial topics and issues that stimulate academic and professional research, including equity, interest swaps, hedges and futures, foreign exchanges, financial asset pricing, and mutual fund markets.This detail-oriented text is descriptive and designed purely for academic researchers and financial practitioners. It assumes no prior knowledge of econometrics and covers important topics such as portfolio asset allocation, asset pricing, hedging strategies, new risk measures, and mutual fund performance. Its accessible presentation is also suitable for post-graduates in a variety of disciplines - applied economics, financial engineering, international finance, financial econometrics, and fund management. To facilitate the subject of wavelets, sophisticated proofs and mathematics are avoided as much as possible when applying the wavelet multiscaling method. To enhance the reader's understanding in practical applications of the wavelet multiscaling method, this book provides sample programming instruction backed by Matlab wavelet code.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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