On the Predictive Information of Futures' Prices: A Wavelet-Based Assessment

While in speculative markets forward prices could be regarded as natural predictors for future spot rates, empirically, forward prices often fail to indicate ex ante the direction of price movements. In terms of forecasting, the random walk approximation of speculative prices has been established to provide 'naive' predictors that are most difficult to outperform by both purely backward-looking time series models and more structural approaches processing information from forward markets. We empirically assess the implicit predictive content of forward prices by means of waveletbased prediction of two foreign exchange (FX) rates and the price of Brent oil quoted either in US dollars or euros. Essentially, wavelet-based predictors are smoothed auxiliary (padded) time series quotes that are added to the sample information beyond the forecast origin. We compare wavelet predictors obtained from padding with constant prices (i.e. random walk predictors) and forward prices. For the case of FX markets, padding with forward prices is more effective than padding with constant prices, and, moreover, respective wavelet-based predictors outperform purely backward-looking time series approaches (ARIMA). For the case of Brent oil quoted in US dollars, wavelet-based predictors do not signal predictive content of forward prices for future spot prices. Copyright (C) 2016 John Wiley & Sons, Ltd..