Volatility smile
Quants of the year – Jim Gatheral and Mathieu Rosenbaum
Risk Awards 2021: rough volatility models could make the options market more efficient
Degree of influence: volatility shakes markets and quant finance
Volatility and machine learning were among the top research areas for quants this year
A step closer to the perfect volatility model
Research on ‘rough volatility’ gives fresh insight into financial fluctuations, quant expert explains
Finite difference schemes with exact recovery of vanilla option prices
A model unifies the classic local vol and binomial trees to accurately price options
Solving the enigma of the volatility smiles
Has the problem of jointly calibrating the volatility smiles of the Vix and S&P 500 been solved?
The quadratic rough Heston model and the joint S&P 500/Vix smile calibration problem
A combination of rough volatility and price-feedback effect allows for SPX-Vix joint calibration
The SABR forward smile
Thomas Roos presents the expressions for the implied volatilities of European and forward starting options
EU banks grapple with NMRF proposals for volatility models
EBA options for lighter capital treatment of parametric curves could prove impractical
The extended SSVI volatility surface
This paper extends Gatheral and Jacquier’s surface stochastic volatility-inspired (SSVI) parameterization by making the correlation maturity dependent and obtaining the necessary and sufficient conditions for no calendar-spread arbitrage.
Swaptions vol modelling tweak opens up pricing possibilities
Nomura quant proposes local volatility model that can directly calibrate to swaption smiles
Degree of influence, 2017: Quants dissect initial margin
Initial margin, optimal execution and applications of machine learning were the hottest topics of 2017
Pricing and hedging options with rollover parameters
This paper consists of a “horse race” study comparing (i) a number of option pricing models, and (ii) roll-over estimation procedures.
Model-free valuation of barrier options
Austing and Li provide a continuous barrier options pricing formula that fits the volatility smile
Cross-dependent volatility
Julien Guyon introduces cross-dependent volatility models and calibrate them to market smiles
Non-parametric local volatility formula for interest rate swaptions
Gatarek, Jabłecki and Qu introduce a Dupire-like formula for swaptions
Smile transformation for price prediction
Prediction of arbitrage-free option prices that outperform existing models
Cutting Edge 2013: fixing SABR
Fixing SABR
Hybrid smiles made fast
Hybrid smiles made fast
Smile in the low moments
Smile in the low moments
Rational shapes of local volatility
Rational shapes of local volatility
Cutting Edge introduction: SABR rattling
SABR rattling
Expanded forward volatility
Expanded forward volatility
The basis goes stochastic
The basis goes stochastic
Sponsored feature: Royal Bank of Scotland
Efficient hedging – Using market distortion to your advantage