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Free Boundary SABR

Posted: August 25th, 2016, 9:27 pm
by Wellwn
Hi,
has anybody tried to implement the solution proposed by Antonov et al. in their paper to come up with a solution for the negative rates?

These are the papers I'm talking about:
http://papers.ssrn.com/sol3/papers.cfm? ... id=2557046
http://papers.ssrn.com/sol3/papers.cfm? ... id=2653682

I'm trying to do it and I'm having some troubles, I will like to share my difficulties...

Re: Free Boundary SABR

Posted: September 19th, 2016, 4:52 pm
by Lapsilago
Hi Wellwn,

I have implemented the integral solution and a PDE solver for evolving the density starting from a dirac delta using Fokker-Planck. Where are your difficulties...

Best, Lapsi

Re: Free Boundary SABR

Posted: September 19th, 2016, 8:51 pm
by Wellwn
Thank you Lapsi,
no more big problems with the implementation (exept the error I get with strikes zero and atm... to your knowledge I'm using matlab).
My next step is to implement the Monte Carlo simulation (not described in the articles).

Thanks again for your interest,
Wellwn

Re: Free Boundary SABR

Posted: October 2nd, 2016, 10:03 am
by Wellwn
Hey Lapsi (or evetyone is reading this...)

did you try to implement the Monte Carlo method cited by Antonov in his papers?

Wellwn

Re: Free Boundary SABR

Posted: October 6th, 2016, 7:25 am
by Lapsilago
Hi Wellwn,
no i did not but have a look at Roger Lords site... He did a lot on MC for SABR.
But if you would like I can have look...
Ciao Jörg

Re: Free Boundary SABR

Posted: October 9th, 2016, 12:41 pm
by Wellwn
I will take a look, however Roger Lords uses a different approach.
What is strange in Antonov papaer is the absence of the correlation in the calucaltion of the mean and variance of the SABR process... or am I wrong?

Thanks