Hedging of Asian options under exponential Lévy models: computation and performance. Issue 4 (16th March 2017)

• Record Type: Journal Article
• Authors: Ballotta, Laura; Gerrard, Russell; Kyriakou, Ioannis
• Is Part Of: European journal of finance. Volume 23:Issue 4(2017)
• Page Start: 297
• Page End: 323
• Publication Date: 2017-03-16
• Subjects: arithmetic Asian options -- discrete monitoring -- price sensitivities -- Lévy processes -- hedging error -- model misspecification; G13 -- G11 -- D52 -- C63; Finance -- Periodicals; Finance -- Europe -- Periodicals; International finance -- Periodicals; 332.094
• DOI: 10.1080/1351847X.2015.1066694
• Languages: English
• ISSNs: 1351-847X

Abstract

Abstract : In this paper we consider the problem of hedging an arithmetic Asian option with discrete monitoring in an exponential Lévy model by deriving backward recursive integrals for the price sensitivities of the option. The procedure is applied to the analysis of the performance of the delta and delta–gamma hedges in an incomplete market; particular attention is paid to the hedging error and the impact of model error on the quality of the chosen hedging strategy. The numerical analysis shows the impact of jump risk on the hedging error of the option position, and the importance of including traded options in the hedging portfolio for the reduction of this risk.