Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2017; 32(2): 467-477

Online first article April 3, 2017      Printed April 30, 2017

https://doi.org/10.4134/CKMS.c160114

Copyright © The Korean Mathematical Society.

Local volatilities for quanto option prices with various types of payoffs

Youngrok Lee

Sogang University

Abstract

This paper is about the derivations of local volatilities for European quanto call option prices according to various types of payoffs. We derive the explicit formulas of local volatilities with constant foreign and domestic interest rates by adapting the method of Derman-Kani.

Keywords: local volatility, quanto option, payoff, exchange rate, exchange option

MSC numbers: 91G20, 60G20, 65C20