PRICING OF CONTINGENT CLAIMS IN A TWO-DIMENSIONAL MODEL WITH RANDOM DIVIDENDS

Pavel V. Gapeev () and Monique Jeanblanc ()
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Pavel V. Gapeev: London School of Economics, Department of Mathematics, Houghton Street, London WC2A 2AE, UK
Monique Jeanblanc: Université d'Évry-Val-d'Essonne, Département de Mathématiques, rue Jarlan, F-91025 Évry Cedex, France;

International Journal of Theoretical and Applied Finance (IJTAF), 2009, vol. 12, issue 08, 1091-1104

Abstract: We study a model of a financial market in which two risky assets are paying dividends with rates changing their initial values to other constant ones when certain events occur. Such events are associated with the first times at which the value processes of issuing firms, modeled by geometric Brownian motions, fall to some prescribed levels. The asset price dynamics are described by exponential diffusion processes with random drift rates and independent driving Brownian motions. We derive closed form expressions for rational values of European contingent claims, under full and partial information.

Keywords: Structural approach; random dividend rates; Brownian motion; first passage time; running minimum process; strong Markov property; European contingent claims; full and partial information (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0219024909005592

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