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 |
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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