It is well known that the pattern of implied volatilities in foreign currency options forms a smile shape which is referred to as a volatility smile. On the other hand, the volatility skew is a general pattern of implied volatilities in equity options. In this paper, we consider the Carr-Geman-Madan valuation of options in incomplete markets on which the preference structure of the market participants are reflected. Through a simple continuous static no arbitrage extension, we examine how the smiles and skews are related.
목차
Abstract 1 Introduction 2 CGM valuation 2.1 CGM model 2.2 Continuous extension 3 Static no arbitrage 3.1 Static no arbitrage condition 3.2 The validity of condition (iii) 4 Smile and Skew 4.1 Analytic result for smile and skew 4.2 Numerical illustration References
저자
Intae Jeon [ Department of Mathematics, The Catholic University of Korea. ]
Cheol-Ung Park [ Department of Mathematics, The Catholic University of Korea. ]
Sang-Il Han [ Department of Mathematics, The Catholic University of Korea. ]