A Green′s function for a convertible bond using the Vasicek model

Autor: R. Mallier, A. S. Deakin
Jazyk: angličtina
Rok vydání: 2002
Předmět:
Zdroj: Journal of Applied Mathematics, Vol 2, Iss 5, Pp 219-232 (2002)
Druh dokumentu: article
ISSN: 1110-757X
1687-0042
1110757X
DOI: 10.1155/S1110757X02203058
Popis: We consider a convertible security where the underlying stock price obeys a lognormal random walk and the risk-free rate is given by the Vasicek model. Using a Laplace transform in time and a Mellin transform in the stock price, we derive a Green′s function solution for the value of the convertible bond.
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