Long-run wavelet-based correlation for financial time series

2018 ◽  
Vol 271 (2) ◽  
pp. 676-696 ◽  
Author(s):  
Thomas Conlon ◽  
John Cotter ◽  
Ramazan Gençay
2003 ◽  
Vol 7 (1) ◽  
pp. 29-48
Author(s):  
Riccardo Biondini ◽  
Yan-Xia Lin ◽  
Michael Mccrae

The study of long-run equilibrium processes is a significant component of economic and finance theory. The Johansen technique for identifying the existence of such long-run stationary equilibrium conditions among financial time series allows the identification of all potential linearly independent cointegrating vectors within a given system of eligible financial time series. The practical application of the technique may be restricted, however, by the pre-condition that the underlying data generating process fits a finite-order vector autoregression (VAR) model with white noise. This paper studies an alternative method for determining cointegrating relationships without such a pre-condition. The method is simple to implement through commonly available statistical packages. This ‘residual-based cointegration’ (RBC) technique uses the relationship between cointegration and univariate Box-Jenkins ARIMA models to identify cointegrating vectors through the rank of the covariance matrix of the residual processes which result from the fitting of univariate ARIMA models. The RBC approach for identifying multivariate cointegrating vectors is explained and then demonstrated through simulated examples. The RBC and Johansen techniques are then both implemented using several real-life financial time series.


Author(s):  
Blake LeBaron

This chapter focuses on heterogeneous gain learning and long swings in asset prices. Many asset prices deviate from their fundamental values, yielding potential long-run predictability. Asset price swings can be both short or long in duration, and their time series shows few regular patterns when one analyzes their long-range behavior. This chapter considers an underparameterized learning model with heterogeneous gain parameters and traders using differing perspectives on history. It first provides an overview of the basic model and some benchmark simulation runs before discussing the output of the model compared to actual financial time series. It then describes a range of internal mechanisms of the agents and forecasts in use and how wealth moves across them over time. It shows that learning algorithms appear to be behaving in a predictable fashion, and that interesting dynamics come from how agent wealth selects rules over time. The chapter concludes by addressing some questions for researchers working on learning in financial markets.


2012 ◽  
Vol 34 (3) ◽  
pp. 405-421 ◽  
Author(s):  
Guglielmo Maria Caporale ◽  
Juncal Cuñado ◽  
Luis A. Gil-Alana

2018 ◽  
Author(s):  
Thomas Conlon ◽  
John Cotter ◽  
Ramazan Gencay

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