Hidden circulation fluctuations periodicity of index daily return

Abstract

In this article, we collect the index daily return to analysis the fluctuations of daily return ratio and monthly return ratio in the stock markets by using the multisignal classification (MUSIC) method of Sub-space of the power spectrum density estimation. 6 kinds of Composite Index of stock price are selected, including 3 kinds of index from Shanghai Stock Exchange, Shenzhen Stock Exchange, Hong Kong Stock Exchange, and 3 kinds of index from US Stock Markets, UK stock markets, and Japanese stock markets. Though our research, we get the hidden circulation fluctuations periodicity of index daily return about Chinese stock markets and foreign stock markets. We find that Hang Seng Index has obviously cyclical nature with greatly fluctuation. The Shanghai Composite Index has a similar cyclical nature to London's FTSE 100 index and Shenzhen stock composite prices index, but the London's FTSE 100 index has strength fluctuation. Using the method mentioned in this paper is beneficial to further explore some useful objective phenomena in economic field. Keywords-stock markets; power spectrum density estimation; multi-signal classification(MUSIC); daily return; index of stock priceI.