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wallaeys
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SABR/LMM : correlation between the volatily of foward rates

April 21st, 2015, 8:10 am

Hello,I am using the book "SABR/LMM" written by Rebonato.The correlation between forward rates : same approach as in a classical LMM model (ok)The correlation between forward rates and volatility : exogenously given by the market data (through the calibration)What about the correlation between the volatility ?What are the classical approaches ? Thank you for your time
 
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Phunfactory
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SABR/LMM : correlation between the volatily of foward rates

April 22nd, 2015, 6:57 pm

The issue isn't well described in Rebonatos book. However there is a thesis out there which tells you how it works. You can obtain the Vol/Vol correlations from fitting Swap or CMS dynamics in your SABRLMM.
Last edited by Phunfactory on April 30th, 2015, 10:00 pm, edited 1 time in total.
 
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clw
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SABR/LMM : correlation between the volatily of foward rates

May 26th, 2015, 2:53 pm

Hi,We describe a couple of methods of its calibration in our soon to be published book . For one of the two we also provide calibration examples done on real market data.