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Jul 15, 2019 at 14:42 comment added Homunculus Reticulli Sorry it took me almost 8 years to accept your answer. This must be a record surely! :)
Jul 15, 2019 at 14:41 vote accept Homunculus Reticulli
Dec 1, 2011 at 14:37 comment added Brian B The BDT model is, despite its age, still one of the most common models employed for pricing callable bonds. In this case you would need to modify it with a jump to default branch on the trees corresponding to your credit risk. The accounting step of recording $X$ on the books is a convenience, as actual instrument value is more dependent on what someone else is willing to pay and hence depends on their perception of how risky your credit is.
Dec 1, 2011 at 10:34 comment added Homunculus Reticulli I agree with this answer intuitively - although I must admit that I don't exactly understand your answer. My understanding of your answer is that the instrument should be valued as a perpetual bond (with an embedded option) and recorded at Notional value $X (is my understanding correct?). If yes, then it seems that the instrument I described is really, a callable "perpetual" bond?. It is still not clear to me how to price the instrument - could you please be more explicit?. Its been a while since I did any FM/pricing stuff so please bear with me being slow ..
Nov 30, 2011 at 21:30 history answered Brian B CC BY-SA 3.0