This paper investigates association between portfolio returns and higher-order systematic co-moments at different timescales obtained through wavelet multi-scaling- a technique that decomposes a given return series into different timescales enabling investigation at different return intervals....

Modelling stock return generating process as a single factor model, we show analytically that the relation between idiosyncratic volatility measured as variance of the residuals and expected stock return in the cross-section may be represented by a parabola that opens to the left and has...