This paper investigates the hedging effectiveness of a dynamic moving window
OLS hedging model, formed using wavelet decomposed time-series. The wavelet
transform is applied to calculate the appropriate dynamic minimum-variance
hedge ratio for various hedging horizons for a number of assets.
The dynamics of the equal-time cross-correlation matrix of multivariate
financial time series is explored by examination of the eigenvalue spectrum
over sliding time windows. Empirical results for the S&P 500 and the Dow Jones
Euro Stoxx 50 indices reveal that the dynamics of the small eigenvalues of the
cross-correlation matrix, over these time windows, oppose those of the largest
eigenvalue. This behaviour is shown to be independent of the size of the time
window and the number of stocks examined.
The cross correlation matrix between equities comprises multiple interactions
between traders with varying strategies and time horizons. In this paper, we
use the Maximum Overlap Discrete Wavelet Transform to calculate correlation
matrices over different timescales and then explore the eigenvalue spectrum
over sliding time windows. The dynamics of the eigenvalue spectrum at different
times and scales provides insight into the interactions between the numerous
constituents involved.