1. Optimal statistical arbitrage trading of Berkshire Hathaway stock and its replicating portfolio
- Author
-
Chen, An-Sing and Yang, Che-Ming
- Subjects
Financial Management ,Stock Markets ,Economics ,Science ,Social Sciences ,Context (language use) ,Markov Processes ,Research and Analysis Methods ,Hedge fund ,Mathematical and Statistical Techniques ,0502 economics and business ,Resource Management ,Econometrics ,Asset (economics) ,Investments ,Statistical Methods ,Capital Markets ,050207 economics ,Robustness (economics) ,Financial Markets ,Statistical Data ,Models, Statistical ,050208 finance ,Multidisciplinary ,Statistical arbitrage ,business.industry ,Applied Mathematics ,Simulation and Modeling ,Statistics ,05 social sciences ,Financial market ,Commerce ,Probability Theory ,Models, Economic ,Replicating portfolio ,Physical Sciences ,Medicine ,Portfolio ,business ,Algorithms ,Mathematics ,Finance ,Research Article ,Forecasting - Abstract
In this paper, we make use of the replicating asset for statistical arbitrage trading, where the replicating asset is constructed by a portfolio that mimics the returns from a factor model. Using the replicating asset in the context of statistical arbitrage has never been done before in the literature. A novel optimal statistical arbitrage trading model is applied, and we derive the average transaction length and return for the Berkshire A stock and its replicating asset. The results show that the statistical arbitrage method proposed by Bertram (2010) is profitable by using the replicating asset. We also compute the average returns under different transaction costs. For the statistical arbitrage using the replicating asset of the factor model, average annual returns were at least 33%. Robustness is examined with the S&P500. Our results can provide hedge fund managers with a new technique for conducting statistical arbitrage.
- Published
- 2021