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Nonstationarity of stock returns. (English) Zbl 1411.91532

Bohner, Martin (ed.) et al., Difference equations, discrete dynamical systems and applications. Proceedings of the 20th international conference on difference equations and applications, ICDEA, Wuhan, China, July 21–25, 2014. Cham: Springer. Springer Proc. Math. Stat. 150, 153-165 (2015).
Summary: Theoretical framework and an appropriate algorithm is developed to measure the nonstationarity (NS) of data streams. With the nonstationary measure, the properties of stock returns are studied. Three experiments illustrate that: the nonstationarity of stock return can not be diversified with big portfolio; nonstationarity, which can explain the risk premium, is positively related to the investing period.
For the entire collection see [Zbl 1333.37005].

MSC:

91G10 Portfolio theory
62P05 Applications of statistics to actuarial sciences and financial mathematics
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