Pricing arithmetic Asian options under hybrid stochastic and local volatility

Min Ku Lee, Jeong Hoon Kim, Kyu Hwan Jang

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Recently, hybrid stochastic and local volatility models have become an industry standard for the pricing of derivatives and other problems in finance. In this study, we use a multiscale stochastic volatility model incorporated by the constant elasticity of variance to understand the price structure of continuous arithmetic average Asian options. The multiscale partial differential equation for the option price is approximated by a couple of single scale partial differential equations. In terms of the elasticity parameter governing the leverage effect, a correction to the stochastic volatility model is made for more efficient pricing and hedging of Asian options.

Original languageEnglish
Article number784386
JournalJournal of Applied Mathematics
Volume2014
DOIs
Publication statusPublished - 2014

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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