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Timeline for Calibration Merton Jump-Diffusion

Current License: CC BY-SA 3.0

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Dec 23, 2016 at 0:11 vote accept Vittorio Apicella
Nov 22, 2016 at 22:59 answer added Mehness timeline score: 3
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Jul 3, 2015 at 22:07 history tweeted twitter.com/#!/StackQuant/status/617092430295400448
Jun 3, 2015 at 3:23 comment added Mark Joshi there are formulas for barrier option prices when the jump takes a specific form. These may help. There is some work by Kou.
Jun 1, 2015 at 13:46 answer added q.t.f. timeline score: 2
May 31, 2015 at 17:54 comment added lehalle Generically, you can fit any model numerically. No need a closed form. Usually when a model is widely used, there are known good practices. And in this case I do not know them. In your case (in dimension one), it seems tractable numerically.
May 31, 2015 at 15:29 comment added Vittorio Apicella the problem is that I don't know how to calibrate without a closed form survival probability function...as far as I know, in order to calibrate a credit model I am supposed to extract default probabilities implied in CDS spreads and then finding the parameter values which make the squared difference between default probabilities generated by the model (given the set of parameters) and the market the lowest possible...but what if I don't know the survival function?
May 31, 2015 at 15:18 comment added lehalle Ok, it means you try to fit a Leland-like model, adding a jump component. And the jump part prevent you from having closed form results. Why not considering numerical solutions?
May 31, 2015 at 14:57 comment added Vittorio Apicella $V_t$ is the asset dynamics process, $x$ is a debt barrier. The whole model follows the structural "philosophy" (model assets' dynamics, computing the probability the value of the assets touch or go below the debt barrier)
May 31, 2015 at 14:55 comment added lehalle Just to be sure I understand your question: what is V?
May 31, 2015 at 14:41 comment added Vittorio Apicella sure...actually my problem is I don't know how to compute the probability in the EDIT
May 31, 2015 at 14:39 history edited Vittorio Apicella CC BY-SA 3.0
adding computations
May 31, 2015 at 14:24 comment added lehalle Could you please develop the last part of your question: "The problem of course is there doesn't exist an analytical formula for the survival probability function". It will help people to answer, and may be yourself to better understand your problem.
May 31, 2015 at 14:15 review First posts
May 31, 2015 at 14:19
May 31, 2015 at 14:09 history asked Vittorio Apicella CC BY-SA 3.0