We provide a new framework for modeling trends and periodic patterns in high-frequency financial data. Seeking adaptivity to ever-changing market conditions, we enlarge the Fourier flexible form into a richer functional class: both our smooth trend and the seasonality are non-parametrically...

Time series observed at higher frequencies than monthly frequency display complex seasonal patterns that result from the combination of multiple seasonal patterns (with annual, monthly, weekly and daily periodicities) and varying periods, due to the irregularity of the calendar. The paper deals...

It is well known that intraday volatilities and trading volumes exhibit strong seasonal features. These seasonalities are usually modeled using dummy variables or deterministic functions. Here, we propose a test for seasonal long memory with a known frequency. Using this test, we show that...

This study examines the calendar effects in 55 Stock market exchange indices around the globe. The effects which are examined are the turn-of-the-Month effect, day-of-the-Week effect, Month-of the-Year effect and semi-Month effect. The methodology followed is the test hypothesis with bootstrap...

This paper introduces a continuous-time model for commodity pricing under the assumption that logged prices converge to a mean level that experiences smooth, periodic fluctuations over long periods of time. Our model incorporates that assumption by modelling the mean reversion level through a...