Wavelet timescales and conditional relationship between higher- order systematic co-moments and portfolio returns: evidence in Australian data

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. For some portfolios, the relative risk positions indicated by systematic co-moments at higher timescales is different from those revealed in raw returns. A strong positive (negative) linear association between beta and co-kurtosis and portfolio return in the up (down) market is observed in raw returns and at different timescales. The beta risk is priced in the up and down markets and the co-kurtosis is not. Co-skewness does not appear to be linearly associated with portfolio returns even after the up and down market split and is not priced.Wavelet multi-scaling, higher-order systematic co-moments, asset pricing

Wavelet timescales and conditional relationship between higher-order systematic co-moments and portfolio returns: evidence in Australian data

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. For some portfolios, the relative risk positions indicated by systematic co-moments at higher timescales is different from those revealed in raw returns. A strong positive (negative) linear association between beta and co-kurtosis and portfolio return in the up (down) market is observed in raw returns and at different timescales. The beta risk is priced in the up and down markets and the co-kurtosis is not. Co-skewness does not appear to be linearly associated with portfolio returns even after the up and down market split and is not priced.Wavelet multi-scaling, higher-order systematic co-moments, asset pricing

ON THE COMPARISON OF TIME SERIES USING SUBSAMPLING

In this paper we propose a procedure based on the subsampling techniques for the comparison of stationary time series that are not necessarily independent. We study a test based on the Euclidean distance between the autocorrelation functions of two series. Consistency of the proposed method is established. We present a Monte Carlo study with the size and the power of the proposed test.

Some insights from research literature for teaching and learning mathematics

I report on the findings from research and literature on (a) use of symbols in mathematics, (b) algebraic/trigonometric expressions, (c) solving equations, and (d) functions and calculus. From these, some insights and implications for teaching and learning are derived. Keywords: calculus; equations; expressions; functions; learning; mathematical symbolism; teaching South African Journal of Education Vol. 28 (3) 2008: pp. 401-41