Dominique Bang, head of interest rate vanilla analytics at Bank of America Merrill Lynch in London, joined us in our studio to talk about his work on a local stochastic volatility model.
In his article on this topic, Local stochastic volatility: shaken, not stirred, available now on Risk.net, Bang introduces a new European options model, where he mixes a pure stochastic volatility process with a local volatility process. It is arbitrage-free, handles non-positive interest rates, is quick to compute and allows for accurate calibration of constant maturity swaps and swaptions.
While the model’s performance is highlighted in the article with reference to the popular stochastic alpha beta rho model (SABR), it is applicable to a number of volatility models, including the Heston model.
00:58 The paper
02:30 Lamperti’s transform
03:55 Shaken, not stirred
05:08 Advantages of the new approach
07:45 SABR example
10:05 Computational speed
12:22 Intuition and tractability
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