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Heat kernel methods in finance: the SABR model
Heat kernel methods finance the SABR model Pricing of Securities
2012/3/2
The SABR model is a stochastic volatility model not admitting a closed form solution. Hagan, Kumar, Leniewski and Woodward have obtained an approximate solution by means of perturbative techniques. A ...
Interest Rates After The Credit Crunch: Multiple-Curve Vanilla Derivatives and SABR
crisis liquidity credit counterparty risk fixed income Libor Euribor Eonia yield curve forward curve, discount curve, single curve, multiple curve volatility surface collateral CSA discounting no arbitrage pricing interest rate derivatives FRAs swaps OIS basis swaps caps floors SABR
2011/3/30
We present a quantitative study of the markets and models evolution across the credit crunch crisis. In particular, we focus on the fixed income market and we analyze the most relevant empirical evide...
Asymptotic Implied Volatility at the Second Order with Application to the SABR Model
Stochastic volatility Asymptotic expansion Heat kernel
2010/11/1
We provide a general method to compute a Taylor expansion in time of implied volatility for
stochastic volatility models, using a heat kernel expansion. Beyond the order 0 implied volatility which is...