Journal article

Pricing a European Option in a Black-Scholes Quanto Market When Stock Price Is a Semimartingale


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Publication Details

Author list: E. R. Offen, E. M. Lungu

Publisher: Scientific Research

Volume number: 5

Start page: 286

End page: 303

Number of pages: 18

ISSN: 2162-2434

eISSN: 2162-2442

URL: http://dx.doi.org/10.4236/jmf.2015.53025



We look at the price of the European call option in a quanto market defined on a filtered probability space (Ω, ,,   ) when the exchange rate is being modeled by the process EE H t t = 0exp{ } where Ht is a semimartingale. Precisely we look at an investor in a Sterling market who intends to buy a European call option in a Dollar market. The market consists of a Dollar bond, Sterling bond and and Sterling risky asset. We first of all convert the Sterling assets by using the exchange rate Et and later on derive an integro-differential equation that can be used to calculate the price on the option. Keywords Semimartingale, Hedging, Arbitrage,


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Last updated on 2025-26-03 at 15:52