June 13th, 2003, 9:33 am
hi.Here's the point : all the recent papers dealing w/ CB pricing refer to the paper by Tsiveriotis & Fernandes [1998], which introduces a system of 2 coupled equations describing the price of the CB for the first one, and, for the second one, the price of a auxiliary asset named "Cash Only part of the CB", whose holder is entitled to all the cash flows of the CB and no equity flow.My problem is the initial equation introduced by them, which is a standard B&S equation, except for the discounting term -rU (where U is the value of the CB) which is replaced by -(r + rc)U, where rc is a credit spread reflecting default risk.Where does this equation come from ? I mean, Merton, B&S established the PDE for any security depending on the asset value S and time t. But how can one introduce the credit spread in the original equations (firm value dynamics, asset value dynamics, ..) in order to have it explicitly in the final TF equation ?any reference would be very usefullrgdsslym