Application of Kalman Filter to Estimate Dynamic Hedge Ratio in Pairs Trading Strategy: A Case Study of the Automobile Industry

Objective: Pairs trading strategies have been around since the mid-1980s and have gained widespread acceptance in recent years. A pairs trading strategy is one of the forms of statistical arbitrage done to make a profit. It bases on the return related to the average spread between pairs of financial...

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Main Authors: Mohammad Javad Nourahmadi, Marziyeh Norahmadi
Format: Article
Language:fas
Published: University of Tehran 2023-03-01
Series:تحقیقات مالی
Subjects:
Online Access:https://jfr.ut.ac.ir/article_92806_2c471cc3358cb9e9c64b885b08ec6162.pdf
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author Mohammad Javad Nourahmadi
Marziyeh Norahmadi
author_facet Mohammad Javad Nourahmadi
Marziyeh Norahmadi
author_sort Mohammad Javad Nourahmadi
collection DOAJ
description Objective: Pairs trading strategies have been around since the mid-1980s and have gained widespread acceptance in recent years. A pairs trading strategy is one of the forms of statistical arbitrage done to make a profit. It bases on the return related to the average spread between pairs of financial securities. The purpose of this research is to investigate the application of the Kalman filter to estimate the dynamic hedge ratio in the pairs trading strategy. The main question of this article is whether individual investors can make a profit by using this trading strategy or not.Methods: The second step was related to the pairs trading strategy, introducing the trading rules and determining the thresholds for buying, selling, and exiting the transaction. Any significant deviation from the average in the spread between two securities was a signal to trade and make a profit. We sold or bought the spread when the spread deviated as much as the positive or negative side of the two standard deviations from the average, and when the spread converges within the positive or the negative halfway point of the standard deviation, we exited the trade to make a profit. Of course, as with all trading strategies, the more you use them, the less likely you will make a profit. In this research, the co-integration method was used to select the pair of stocks, and based on the space-state approach and using the Kalman filter algorithm, the dynamic hedge ratio was estimated to provide trading signals. Trading signals were used to develop a pairs trading strategy between 26 companies in the automobile industry on the Tehran Stock Exchange during the period 2016 to 2020.Results: According to the co-integration results, out of the 26 stocks we selected for analysis, only 16 stocks had a co-integration relationship. According to the Kalman filter method, the CAGR was 0.11 and the Sharp Ratio was 3.06.Conclusion: The results obtained from the Sharp ratio and Compound annual growth rate (CAGR) showed that the pairs trading strategy in the period under review was profitable in the automobile industry. The results also proved the superiority of the Kalman filter method over the co-integration method for pairs trading.
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spelling doaj.art-529b1854ba5341608b42d3fdd54ee5ed2023-10-28T07:34:47ZfasUniversity of Tehranتحقیقات مالی1024-81532423-53772023-03-01251638710.22059/frj.2021.325988.100720692806Application of Kalman Filter to Estimate Dynamic Hedge Ratio in Pairs Trading Strategy: A Case Study of the Automobile IndustryMohammad Javad Nourahmadi0Marziyeh Norahmadi1, Assistant Prof., Department of Theoretical Economics, Faculty of Economics, Allameh Tabataba'i University, Tehran, Iran.Ph.D., Department of Financial Engineering, Faculty of Economic, Management and Accounting, Yazd University, Yazd, Iran.Objective: Pairs trading strategies have been around since the mid-1980s and have gained widespread acceptance in recent years. A pairs trading strategy is one of the forms of statistical arbitrage done to make a profit. It bases on the return related to the average spread between pairs of financial securities. The purpose of this research is to investigate the application of the Kalman filter to estimate the dynamic hedge ratio in the pairs trading strategy. The main question of this article is whether individual investors can make a profit by using this trading strategy or not.Methods: The second step was related to the pairs trading strategy, introducing the trading rules and determining the thresholds for buying, selling, and exiting the transaction. Any significant deviation from the average in the spread between two securities was a signal to trade and make a profit. We sold or bought the spread when the spread deviated as much as the positive or negative side of the two standard deviations from the average, and when the spread converges within the positive or the negative halfway point of the standard deviation, we exited the trade to make a profit. Of course, as with all trading strategies, the more you use them, the less likely you will make a profit. In this research, the co-integration method was used to select the pair of stocks, and based on the space-state approach and using the Kalman filter algorithm, the dynamic hedge ratio was estimated to provide trading signals. Trading signals were used to develop a pairs trading strategy between 26 companies in the automobile industry on the Tehran Stock Exchange during the period 2016 to 2020.Results: According to the co-integration results, out of the 26 stocks we selected for analysis, only 16 stocks had a co-integration relationship. According to the Kalman filter method, the CAGR was 0.11 and the Sharp Ratio was 3.06.Conclusion: The results obtained from the Sharp ratio and Compound annual growth rate (CAGR) showed that the pairs trading strategy in the period under review was profitable in the automobile industry. The results also proved the superiority of the Kalman filter method over the co-integration method for pairs trading.https://jfr.ut.ac.ir/article_92806_2c471cc3358cb9e9c64b885b08ec6162.pdfdynamic hedge ratiokalman filterpairs trading strategyspreadstate space approach
spellingShingle Mohammad Javad Nourahmadi
Marziyeh Norahmadi
Application of Kalman Filter to Estimate Dynamic Hedge Ratio in Pairs Trading Strategy: A Case Study of the Automobile Industry
تحقیقات مالی
dynamic hedge ratio
kalman filter
pairs trading strategy
spread
state space approach
title Application of Kalman Filter to Estimate Dynamic Hedge Ratio in Pairs Trading Strategy: A Case Study of the Automobile Industry
title_full Application of Kalman Filter to Estimate Dynamic Hedge Ratio in Pairs Trading Strategy: A Case Study of the Automobile Industry
title_fullStr Application of Kalman Filter to Estimate Dynamic Hedge Ratio in Pairs Trading Strategy: A Case Study of the Automobile Industry
title_full_unstemmed Application of Kalman Filter to Estimate Dynamic Hedge Ratio in Pairs Trading Strategy: A Case Study of the Automobile Industry
title_short Application of Kalman Filter to Estimate Dynamic Hedge Ratio in Pairs Trading Strategy: A Case Study of the Automobile Industry
title_sort application of kalman filter to estimate dynamic hedge ratio in pairs trading strategy a case study of the automobile industry
topic dynamic hedge ratio
kalman filter
pairs trading strategy
spread
state space approach
url https://jfr.ut.ac.ir/article_92806_2c471cc3358cb9e9c64b885b08ec6162.pdf
work_keys_str_mv AT mohammadjavadnourahmadi applicationofkalmanfiltertoestimatedynamichedgeratioinpairstradingstrategyacasestudyoftheautomobileindustry
AT marziyehnorahmadi applicationofkalmanfiltertoestimatedynamichedgeratioinpairstradingstrategyacasestudyoftheautomobileindustry