Nonnegative group bridge and application in financial index tracking

Yonghui Liu, Yichen Lin, Xin Song, Conan Liu and Shuangzhe Liu ()
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Yonghui Liu: Shanghai University of International Business and Economics
Yichen Lin: Shanghai University of International Business and Economics
Xin Song: Shanghai University of International Business and Economics
Conan Liu: University of New South Wales
Shuangzhe Liu: University of Canberra

Statistical Papers, 2024, vol. 65, issue 2, No 14, 887-907

Abstract: Abstract The stock index plays an increasingly important role in investors’ decision-making. With the continuous development of the stock markets and the advancement of financial technology, the methods of compiling stock indices have consistently improved. Index tracking attempts to match the performance of a target market index by setting up a portfolio of assets to obtain similar returns to the target index. Therefore, the methods of selecting which stocks constitute a portfolio are very important. In daily investing, investors select quality assets from the target index to include in their tracking portfolio. In this paper, a nonnegative group bridge method is proposed for variable selection and estimation of grouping variables without overlapping to aid stock selection. The estimation consistency, variable-selection consistency, and asymptotic property of this method are provided. To obtain the solution of this model, we use an idea based on the local group coordinate descent method. Using tracking error as the criterion, the nonnegative group bridge estimation method is found superior to other nonnegative methods in terms of goodness-of-fit.

Keywords: Algorithm; Index tracking; Nonnegative group bridge; Variable selection (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00362-023-01406-3

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