Compound renewal processes can be used as an approximate phenomenological model of tick-by-tick price fluctuations. An exact and explicit general formula is derived for the martingale price of a European call option written on a compound renewal process. The option price is obtained using the direct method of indicator functions. The applicability of this result is discussed.

A note on intraday option pricing / Scalas, E; Politi, M. - In: INTERNATIONAL JOURNAL OF APPLIED NONLINEAR SCIENCE. - ISSN 1752-2862. - 1:1(2013), pp. 76-86. [10.1504/IJANS.2013.052763]

A note on intraday option pricing

SCALAS E;
2013

Abstract

Compound renewal processes can be used as an approximate phenomenological model of tick-by-tick price fluctuations. An exact and explicit general formula is derived for the martingale price of a European call option written on a compound renewal process. The option price is obtained using the direct method of indicator functions. The applicability of this result is discussed.
2013
option pricing; high-frequency finance; high-frequency trading; computer trading; jump-diffusion models; pure-jump models; continuous-time random walks; semi-Markov processes
01 Pubblicazione su rivista::01a Articolo in rivista
A note on intraday option pricing / Scalas, E; Politi, M. - In: INTERNATIONAL JOURNAL OF APPLIED NONLINEAR SCIENCE. - ISSN 1752-2862. - 1:1(2013), pp. 76-86. [10.1504/IJANS.2013.052763]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1667198
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