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Investment horizon heterogeneity and wavelet: Overview and further research directions

Listed author(s):
  • Chakrabarty, Anindya
  • De, Anupam
  • Gunasekaran, Angappa
  • Dubey, Rameshwar
Registered author(s):

    Wavelet based multi-scale analysis of financial time series has attracted much attention, lately, from both the academia and practitioners from all around the world. The unceasing metamorphosis of the discipline of finance from its humble beginning as applied economics to the more sophisticated depiction as applied physics and applied psychology has revolutionized the way we perceive the market and its complexities. One such complexity is the presence of heterogeneous horizon agents in the market. In this context, we have performed a generous review of different aspects of horizon heterogeneity that has been successfully elucidated through the synergy between wavelet theory and finance. The evolution of wavelet has been succinctly delineated to bestow necessary information to the readers who are new to this field. The migration of wavelet into finance and its subsequent branching into different sub-divisions have been sketched. The pertinent literature on the impact of horizon heterogeneity on risk, asset pricing and inter-dependencies of the financial time series are explored. The significant contributions are collated and classified in accordance to their purpose and approach so that potential researcher and practitioners, interested in this subject, can be benefited. Future research possibilities in the direction of “agency cost mitigation” and “synergy between econophysics and behavioral finance in stock market forecasting” are also suggested in the paper.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0378437115001740
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    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 429 (2015)
    Issue (Month): C ()
    Pages: 45-61

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    Handle: RePEc:eee:phsmap:v:429:y:2015:i:c:p:45-61
    DOI: 10.1016/j.physa.2014.10.097
    Contact details of provider: Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

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    1. Christoph Schleicher, 2002. "An Introduction to Wavelets for Economists," Staff Working Papers 02-3, Bank of Canada.
    2. He, Kaijian & Wang, Lijun & Zou, Yingchao & Lai, Kin Keung, 2014. "Value at risk estimation with entropy-based wavelet analysis in exchange markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 408(C), pages 62-71.
    3. Viviana Fernandez, 2005. "Time-Scale Decomposition of Price Transmission in International Markets," Emerging Markets Finance and Trade, M.E. Sharpe, Inc., vol. 41(4), pages 57-90, August.
    4. Thomas Conlon & John Cotter, 2012. "An empirical analysis of dynamic multiscale hedging using wavelet decomposition," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 32(3), pages 272-299, March.
    5. Luigi Guiso & Paola Sapienza & Luigi Zingales, 2008. "Trusting the Stock Market," Journal of Finance, American Finance Association, vol. 63(6), pages 2557-2600, December.
    6. Akoum, Ibrahim & Graham, Michael & Kivihaho, Jarno & Nikkinen, Jussi & Omran, Mohammed, 2012. "Co-movement of oil and stock prices in the GCC region: A wavelet analysis," The Quarterly Review of Economics and Finance, Elsevier, vol. 52(4), pages 385-394.
    7. Manimaran, P. & Panigrahi, Prasanta K. & Parikh, Jitendra C., 2008. "Difference in nature of correlation between NASDAQ and BSE indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5810-5817.
    8. Schinckus, Christophe, 2010. "Is econophysics a new discipline? The neopositivist argument," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3814-3821.
    9. Sansone, Alessandro & Garofalo, Giuseppe, 2007. "Asset price dynamics in a financial market with heterogeneous trading strategies and time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 247-257.
    10. Power, Gabriel J. & Turvey, Calum G., 2010. "Long-range dependence in the volatility of commodity futures prices: Wavelet-based evidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(1), pages 79-90.
    11. Ramsey, James B. & Zhang, Zhifeng, 1997. "The analysis of foreign exchange data using waveform dictionaries," Journal of Empirical Finance, Elsevier, vol. 4(4), pages 341-372, December.
    12. Hacker, R. Scott & Karlsson, Hyunjoo Kim & Månsson, Kristofer, 2014. "An investigation of the causal relations between exchange rates and interest rate differentials using wavelets," International Review of Economics & Finance, Elsevier, vol. 29(C), pages 321-329.
    13. Gençay, Ramazan & Selçuk, Faruk & Whitcher, Brandon, 2001. "Differentiating intraday seasonalities through wavelet multi-scaling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 289(3), pages 543-556.
    14. Li, Muyi & Huang, Yongxiang, 2014. "Hilbert–Huang Transform based multifractal analysis of China stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 222-229.
    15. Li, Da-Ye & Nishimura, Yusaku & Men, Ming, 2014. "Fractal markets: Liquidity and investors on different time horizons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 144-151.
    16. Bottazzi, Giulio & Dosi, Giovanni & Rebesco, Igor, 2005. "Institutional architectures and behavioral ecologies in the dynamics of financial markets," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 197-228, February.
    17. Ramazan Genay & Faruk Seļuk & Brandon Whitcher, 2003. "Systematic risk and timescales," Quantitative Finance, Taylor & Francis Journals, vol. 3(2), pages 108-116.
    18. Tan, Pei P. & Galagedera, Don U.A. & Maharaj, Elizabeth A., 2012. "A wavelet based investigation of long memory in stock returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(7), pages 2330-2341.
    19. Razdan, Ashok, 2004. "Wavelet correlation coefficient of ‘strongly correlated’ time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 335-342.
    20. Rua, António & Nunes, Luis C., 2012. "A wavelet-based assessment of market risk: The emerging markets case," The Quarterly Review of Economics and Finance, Elsevier, vol. 52(1), pages 84-92.
    21. Kim, Sangbae & In, Francis, 2005. "The relationship between stock returns and inflation: new evidence from wavelet analysis," Journal of Empirical Finance, Elsevier, vol. 12(3), pages 435-444, June.
    22. Tim Bollerslev & Julia Litvinova & George Tauchen, 2006. "Leverage and Volatility Feedback Effects in High-Frequency Data," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 4(3), pages 353-384.
    23. Jouini, E. & Napp, C., 2006. "Aggregation of heterogeneous beliefs," Journal of Mathematical Economics, Elsevier, vol. 42(6), pages 752-770, September.
    24. Muller, Ulrich A. & Dacorogna, Michel M. & Dave, Rakhal D. & Olsen, Richard B. & Pictet, Olivier V. & von Weizsacker, Jacob E., 1997. "Volatilities of different time resolutions -- Analyzing the dynamics of market components," Journal of Empirical Finance, Elsevier, vol. 4(2-3), pages 213-239, June.
    25. P. Manimaran & Prasanta K. Panigrahi & Jitendra. C. Parikh, 2006. "Difference in nature of correlation between NASDAQ and BSE indices," Papers nlin/0601074, arXiv.org, revised Apr 2008.
    26. Benhmad, François, 2013. "Bull or bear markets: A wavelet dynamic correlation perspective," Economic Modelling, Elsevier, vol. 32(C), pages 576-591.
    27. Leland, Hayne E & Pyle, David H, 1977. "Informational Asymmetries, Financial Structure, and Financial Intermediation," Journal of Finance, American Finance Association, vol. 32(2), pages 371-387, May.
    28. Huang, Shian-Chang, 2011. "Wavelet-based multi-resolution GARCH model for financial spillover effects," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(11), pages 2529-2539.
    29. Mara Madaleno & Carlos Pinho, 2012. "International stock market indices comovements: a new look," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 17(1), pages 89-102, January.
    30. Rua, António & Nunes, Luís C., 2009. "International comovement of stock market returns: A wavelet analysis," Journal of Empirical Finance, Elsevier, vol. 16(4), pages 632-639, September.
    31. Ramsey, J.B., 2002. "Wavelets in Economics and Finance: Past and Future," Working Papers 02-02, C.V. Starr Center for Applied Economics, New York University.
    32. Anufriev, Mikhail & Tuinstra, Jan, 2013. "The impact of short-selling constraints on financial market stability in a heterogeneous agents model," Journal of Economic Dynamics and Control, Elsevier, vol. 37(8), pages 1523-1543.
    33. Anyssa Trimech, 2009. "Multiscale Fama-French model: application to the French market," Journal of Risk Finance, Emerald Group Publishing, vol. 10(2), pages 179-192, February.
    34. Masih, Mansur & Alzahrani, Mohammed & Al-Titi, Omar, 2010. "Systematic risk and time scales: New evidence from an application of wavelet approach to the emerging Gulf stock markets," International Review of Financial Analysis, Elsevier, vol. 19(1), pages 10-18, January.
    35. repec:dau:papers:123456789/80 is not listed on IDEAS
    36. Francis In & Sangbae Kim & Vijaya Marisetty & Robert Faff, 2008. "Analysing the performance of managed funds using the wavelet multiscaling method," Review of Quantitative Finance and Accounting, Springer, vol. 31(1), pages 55-70, July.
    37. Bollerslev, Tim & Kretschmer, Uta & Pigorsch, Christian & Tauchen, George, 2009. "A discrete-time model for daily S & P500 returns and realized variations: Jumps and leverage effects," Journal of Econometrics, Elsevier, vol. 150(2), pages 151-166, June.
    38. Hacker, R. Scott & Karlsson, Hyunjoo Kim & Månsson, Kristofer, 2014. "An investigation of the causal relations between exchange rates and interest rate differentials using wavelets," International Review of Economics & Finance, Elsevier, vol. 29(C), pages 321-329.
    39. Fernandez Viviana P, 2005. "The International CAPM and a Wavelet-Based Decomposition of Value at Risk," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 9(4), pages 1-37, December.
    40. Fan, Yanqin & Gençay, Ramazan, 2010. "Unit Root Tests With Wavelets," Econometric Theory, Cambridge University Press, vol. 26(05), pages 1305-1331, October.
    41. Gençay, Ramazan & Selçuk, Faruk & Whitcher, Brandon, 2001. "Scaling properties of foreign exchange volatility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 289(1), pages 249-266.
    42. Caetano, Marco Antonio Leonel & Yoneyama, Takashi, 2012. "A method for detection of abrupt changes in the financial market combining wavelet decomposition and correlation graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4877-4882.
    43. Haim Levy, 1972. "Portfolio Performance and the Investment Horizon," Management Science, INFORMS, vol. 18(12), pages 645-653, August.
    44. In, Francis & Kim, Sangbae, 2007. "A note on the relationship between Fama-French risk factors and innovations of ICAPM state variables," Finance Research Letters, Elsevier, vol. 4(3), pages 165-171, September.
    45. In, Francis & Kim, Sangbae, 2006. "Multiscale hedge ratio between the Australian stock and futures markets: Evidence from wavelet analysis," Journal of Multinational Financial Management, Elsevier, vol. 16(4), pages 411-423, October.
    46. Hahn Shik Lee, 2004. "International transmission of stock market movements: a wavelet analysis," Applied Economics Letters, Taylor & Francis Journals, vol. 11(3), pages 197-201.
    47. Gencay, Ramazan & Selcuk, Faruk & Whitcher, Brandon, 2005. "Multiscale systematic risk," Journal of International Money and Finance, Elsevier, vol. 24(1), pages 55-70, February.
    48. Nekhili, Ramzi & Altay-Salih, Aslihan & Gençay, Ramazan, 2002. "Exploring exchange rate returns at different time horizons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 313(3), pages 671-682.
    49. Gençay, Ramazan & Gençay, Ramazan & Selçuk, Faruk & Whitcher, Brandon J., 2001. "An Introduction to Wavelets and Other Filtering Methods in Finance and Economics," Elsevier Monographs, Elsevier, edition 1, number 9780122796708.
    50. Fernández-Macho, Javier, 2012. "Wavelet multiple correlation and cross-correlation: A multiscale analysis of Eurozone stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1097-1104.
    51. Xu, Zhaoxia & Gençay, Ramazan, 2003. "Scaling, self-similarity and multifractality in FX markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 578-590.
    52. Ramazan Gencay & Nikola Gradojevic & Faruk Selcuk & Brandon Whitcher, 2010. "Asymmetry of information flow between volatilities across time scales," Quantitative Finance, Taylor & Francis Journals, vol. 10(8), pages 895-915.
    53. Biondi, Yuri & Giannoccolo, Pierpaolo & Galam, Serge, 2012. "Formation of share market prices under heterogeneous beliefs and common knowledge," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5532-5545.
    54. Lee, Cheng F. & Wu, Chunchi & Wei, K. C. John, 1990. "The Heterogeneous Investment Horizon and the Capital Asset Pricing Model: Theory and Implications," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(03), pages 361-376, September.
    55. Sharkasi, Adel & Crane, Martin & Ruskin, Heather J. & Matos, Jose A., 2006. "The reaction of stock markets to crashes and events: A comparison study between emerging and mature markets using wavelet transforms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 511-521.
    56. Antoniou, Antonios & Vorlow, Constantinos E., 2004. "Recurrence quantification analysis of wavelet pre-filtered index returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 257-262.
    57. Candelon, Bertrand & Piplack, Jan & Straetmans, Stefan, 2008. "On measuring synchronization of bulls and bears: The case of East Asia," Journal of Banking & Finance, Elsevier, vol. 32(6), pages 1022-1035, June.
    58. Handa, Puneet & Kothari, S. P. & Wasley, Charles, 1989. "The relation between the return interval and betas : Implications for the size effect," Journal of Financial Economics, Elsevier, vol. 23(1), pages 79-100, June.
    59. Raberto, Marco & Cincotti, Silvano & Focardi, Sergio M. & Marchesi, Michele, 2001. "Agent-based simulation of a financial market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 319-327.
    60. Mulligan, Robert F., 2014. "Multifractality of sectoral price indices: Hurst signature analysis of Cantillon effects in disequilibrium factor markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 252-264.
    61. Antoniou, Antonios & Vorlow, Constantinos E., 2005. "Price clustering and discreteness: is there chaos behind the noise?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 348(C), pages 389-403.
    62. Cifter, Atilla, 2011. "Value-at-risk estimation with wavelet-based extreme value theory: Evidence from emerging markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2356-2367.
    63. Patrick M. Crowley, 2007. "A Guide To Wavelets For Economists ," Journal of Economic Surveys, Wiley Blackwell, vol. 21(2), pages 207-267, April.
    64. Conlon, T. & Crane, M. & Ruskin, H.J., 2008. "Wavelet multiscale analysis for Hedge Funds: Scaling and strategies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5197-5204.
    65. Benhmad, François, 2012. "Modeling nonlinear Granger causality between the oil price and U.S. dollar: A wavelet based approach," Economic Modelling, Elsevier, vol. 29(4), pages 1505-1514.
    66. Capobianco, Enrico, 2003. "Empirical volatility analysis: feature detection and signal extraction with function dictionaries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 495-518.
    67. Elyès Jouini & Clotilde Napp, 2008. "Are More Risk-Averse Agents More Optimistic? Insights from a Simple Rational Expectations Equilibrium Model," Post-Print halshs-00176630, HAL.
    68. Fernandez, Viviana & Lucey, Brian M., 2007. "Portfolio management under sudden changes in volatility and heterogeneous investment horizons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(2), pages 612-624.
    69. Kurz, Mordecai, 2008. "Beauty contests under private information and diverse beliefs: How different?," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 762-784, July.
    70. Chung, Kee H. & Smith, William T. & Wu, Tao L., 2009. "Time diversification: Definitions and some closed-form solutions," Journal of Banking & Finance, Elsevier, vol. 33(6), pages 1101-1111, June.
    71. Kirchler, Michael, 2010. "Partial knowledge is a dangerous thing - On the value of asymmetric fundamental information in asset markets," Journal of Economic Psychology, Elsevier, vol. 31(4), pages 643-658, August.
    72. Sangbae Kim & Francis In, 2010. "Portfolio allocation and the investment horizon: a multiscaling approach," Quantitative Finance, Taylor & Francis Journals, vol. 10(4), pages 443-453.
    73. Ghosh, Sayantan & Manimaran, P. & Panigrahi, Prasanta K., 2011. "Characterizing multi-scale self-similar behavior and non-statistical properties of fluctuations in financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4304-4316.
    74. V. T. X. de Almeida & L. Moriconi, 2011. "Option Pricing from Wavelet-Filtered Financial Series," Papers 1103.3639, arXiv.org, revised Dec 2012.
    75. Qin, Zhenjiang, 2013. "Speculations in option markets enhance allocation efficiency with heterogeneous beliefs and learning," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 4675-4694.
    76. Jouini, Elyès & Napp, Clotilde, 2008. "Are more risk averse agents more optimistic? Insights from a rational expectations model," Economics Letters, Elsevier, vol. 101(1), pages 73-76, October.
    77. repec:dau:papers:123456789/29 is not listed on IDEAS
    78. Aloui, Chaker & Hkiri, Besma, 2014. "Co-movements of GCC emerging stock markets: New evidence from wavelet coherence analysis," Economic Modelling, Elsevier, vol. 36(C), pages 421-431.
    79. Loh, Lixia, 2013. "Co-movement of Asia-Pacific with European and US stock market returns: A cross-time-frequency analysis," Research in International Business and Finance, Elsevier, vol. 29(C), pages 1-13.
    80. de Almeida, V.T.X. & Moriconi, L., 2012. "Option pricing from wavelet-filtered financial series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4850-4854.
    81. Marco Gallegati & Mauro Gallegati, 2005. "Wavelet variance and correlation analyses of output in G7 countries," Macroeconomics 0512017, EconWPA.
    82. Mikko Ranta, 2013. "Contagion among major world markets: a wavelet approach," International Journal of Managerial Finance, Emerald Group Publishing, vol. 9(2), pages 133-149, March.
    83. Ramsey James B., 2002. "Wavelets in Economics and Finance: Past and Future," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 6(3), pages 1-29, November.
    84. Aguiar-Conraria, Luís & Azevedo, Nuno & Soares, Maria Joana, 2008. "Using wavelets to decompose the time–frequency effects of monetary policy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2863-2878.
    85. In, Francis & Kim, Sangbae & Gençay, Ramazan, 2011. "Investment horizon effect on asset allocation between value and growth strategies," Economic Modelling, Elsevier, vol. 28(4), pages 1489-1497, July.
    86. Haven, Emmanuel & Liu, Xiaoquan & Shen, Liya, 2012. "De-noising option prices with the wavelet method," European Journal of Operational Research, Elsevier, vol. 222(1), pages 104-112.
    87. Graham, Michael & Kiviaho, Jarno & Nikkinen, Jussi, 2012. "Integration of 22 emerging stock markets: A three-dimensional analysis," Global Finance Journal, Elsevier, vol. 23(1), pages 34-47.
    88. Fernandez, Viviana, 2006. "The CAPM and value at risk at different time-scales," International Review of Financial Analysis, Elsevier, vol. 15(3), pages 203-219.
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