%0 Journal Article %T A Green¡äs function for a convertible bond using the Vasicek model %A R. Mallier %A A. S. Deakin %J Journal of Applied Mathematics %D 2002 %I Hindawi Publishing Corporation %R 10.1155/s1110757x02203058 %X 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. %U http://www.hindawi.com/journals/jam/2002/468572/abs/