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Antonio
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"A New Representation Of The Local Volatility Surface"

December 11th, 2008, 9:39 am

by M. Rodrigo, R. Mamon, just been published in IJTAF. If anyone could get me a copy, that would be really nice.Thanks a lot.
 
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mit
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"A New Representation Of The Local Volatility Surface"

December 15th, 2008, 1:49 am

thanks too
 
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tzc
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"A New Representation Of The Local Volatility Surface"

December 1st, 2009, 2:12 am

This post is perhaps much too late, but the local university library only subscribes to the journal electronically with a 1-year embargo imposed by the publisher. The title and the abstract promises a false hope of yet another way to calibrate the local volatility surface. Googling the paper turned up nothing but a few other papers by the same team, which soon diminished expectation. Some samples are available publically, e.g.M.R. Rodrigo and R.S. Mamon, 2006, "An alternative approach to solving the Black-Scholes PDE with time-varying parameters" Applied Mathematics Letters, 19(4), 398-402.www.carisma.brunel.ac.uk/papers/2005/CTR-38.pdf, R.S. Mamon, 2004, "Three ways to solve for bond prices in the Vasicek model", Journal of Applied Mathematics and Decision Sciences, 8(1), 1-14.http://downloads.hindawi.com/journals/j ... 26.pdf.One probably doesn't often see math sophomores submitting their homeworks for publication, or publishers eagerly printing their homeworks. These are truely eye-opener.Now let's get back to the paper in question. It basically proposes the ansatz S*u(K, T)-K*v(K,T) as the solution to the Dupire forward equation, derives itself to a dead-end, then presents a singularly uninteresting "Explicitly Solvable Case", which is the deterministic volatility, and blah-blahs on. It essentially re-expresses Dupire formula for local vol in terms of the functions u and v, which in turn are explicitly dependent of call price and its partial derivatives. In short, Dupire formula with limited usage, that's all about its novelty. No wonder stuff like this is guarded better than treasures.