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Title: Multi-frequency analysis for high frequency trading
Authors: Liu, Hongguang
Degree: Ph.D.
Issue Date: 2017
Abstract: High-Frequency Trading (HFT) in financial markets has been making media headlines. The 2010 Flash Crash in the US and the 2013 Everbright Securities' incident in China showed its dramatic impacts on the markets. However, as a relatively new phenomenon, most of the discussion on HFT is not backed by solid academic research. At the same time, current academic research on high-frequency trading focuses on its afterward influences, the motivation and the trading logic behind the HFT is rarely explored. Basically, there are two kinds of HFT, the first kind of HFT takes advantage of "time", the most advanced computers are placed right next to the exchanges to reduce the time delay of the receiving of market data and the execution of trading orders that aiming to capture a very small fraction of the profit on every trade. The second kind of HFT is conducted based on the analysis of the historical data of the related financial time series. This thesis focuses on the study of the second kind of HFT. Multiple methods can be used in the design of the second kind of HFT. In this research, multi-frequency analysis and wavelet are combined with technical indicators and modern machine learning tools. Forecasting of the directions of the financial time series is crucial in the design of such kind of HFT systems, many economic and technical models and indicators have been built in the past, however, most of the past research merely analyze the data in time domain, the frequency domain of the HFT is rarely explored. This research focuses on the multi-frequency predictions of the short-term movements of the financial time series and the design of the trading systems based on the forecast.HFT systems based on moving averages and a simple trend following system are developed to set benchmarks for the multi-frequency related systems. An experiment on the performance of two-frequency ARIMA model is also conducted to show the prediction power of the multi-frequency analysis, as time series in different resolutions may convey different information on its characteristics, the empirical results indicated that multi-frequency could improve the forecast performance. After that, an intra-day trading system is designed based on the Genetic Programming (GP) and technical analysis, wavelet de-noise is introduced to improve the performance of the GP based system, the system with wavelet de-noise showed best performance in the empirical test. To explore the nonlinear relationship, artificial neural network (ANN) is applied in the prediction of the financial time series. Both Nonlinear AutoRegressive with eXogenous (NARX) and wavelet based Multi-layer perceptron models are utilized in the forecasting of the intra-day high-frequency time series, based on which, HFT systems are developed. To test the performance of the HFT systems, the China index futures is selected as the experiment asset. Based on the experiments in this thesis, the HMA trading system shows the best performance among the tested moving averages trading systems; the two-frequency ARIMA beats the traditional single frequency models; the GP systems trained using the wavelet de-noised data outperforms the GP systems trained using the original data, and the hard-threshold denoise method provides the best out-of-sample trading performance; the WMLP based trading model outperforms the NARX model in the out-of-sample trading test.
Subjects: Hong Kong Polytechnic University -- Dissertations
Investment analysis -- Mathematical models
Portfolio management -- Mathematical models
Stocks -- Prices -- Mathematical models
Pages: xiv, 186 pages : illustrations
Appears in Collections:Thesis

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