Journal of Financial Econometrics, 2017, Vol. 15, No. 1, 1–35 doi: 10.1093/jjfinec/nbw007 Advance Access Publication Date: 24 August 2016 Article Downloaded from https://academic.oup.com/jfec/article-abstract/15/1/1/2548347 by University of Glasgow user on 11 September 2019 Simple Robust Hedging with Nearby Contracts Liuren Wu Zicklin School of Business, Baruch College, City University of New York Jingyi Zhu University of Utah Address correspondence to Liuren Wu, Zicklin School of Business, Baruch College, One Bernard Baruch Way, B10-225, New York, NY 10010, or e-mail:
[email protected]. Received April 12, 2014; revised June 26, 2016; accepted July 25, 2016 Abstract This paper proposes a new hedging strategy based on approximate matching of contract characteristics instead of risk sensitivities. The strategy hedges an option with three options at different maturities and strikes by matching the option function expansion along maturity and strike rather than risk factors. Its hedging effective- ness varies with the maturity and strike distance between the target and the hedge options, but is robust to variations in the underlying risk dynamics. Simulation ana- lysis under different risk environments and historical analysis on S&P 500 index op- tions both show that a wide spectrum of strike-maturity combinations can outper- form dynamic delta hedging. Key words: characteristics matching, hedging, jumps, Monte Carlo, payoff matching, risk sensi- tivity matching, strike-maturity triangle, stochastic volatility, S&P 500 index options, Taylor expansion JEL classification: G11, G13, G51 The concept of dynamic hedging has revolutionized the derivatives industry by drastically reducing the risk of derivative positions through frequent rebalancing of a few hedging in- struments.