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Optimal arbitrage strategies on stock index futures under position limits
Author(s) -
Dai Min,
Zhong Yifei,
Kwok Yue Kuen
Publication year - 2011
Publication title -
journal of futures markets
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.88
H-Index - 55
eISSN - 1096-9934
pISSN - 0270-7314
DOI - 10.1002/fut.20472
Subject(s) - arbitrage , index arbitrage , futures contract , economics , statistical arbitrage , risk arbitrage , position (finance) , transaction cost , fixed income arbitrage , financial economics , econometrics , fundamental theorem of asset pricing , arbitrage pricing theory , microeconomics , finance , capital asset pricing model
Assuming the absence of market frictions, deterministic interest rates, and certainty in dividend payouts from the stocks in the index basket, an arbitrageur can lock in the profit of a positive (negative) arbitrage basis in a stock index futures by adopting a short (long) futures strategy. In addition, the arbitrageur may improve the arbitrage profit by adopting the so‐called early unwinding strategy of liquidating the position before maturity, or more aggressively from the long position directly to the short position or vice versa. In this study, we examine the optimal arbitrage strategies in stock index futures with position limits and transaction costs. In our analysis, the index arbitrage basis is assumed to follow the Brownian Bridge process. The model formulation of the option value functions leads to a coupled system of variational inequalities. We determine the values of the arbitrage opportunities and the optimal threshold values of the arbitrage basis at which the arbitrageur should optimally close an existing position or open a new index arbitrage position. In particular, we examine the impact of transaction costs on the index arbitrage strategies. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark 31:394–406, 2011