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A new look at short-term implied volatility in asset price models with jumps
exponential Levy models Blumenthal-Getoor index short-dated options implied volatility.
2012/9/14
We analyse the behaviour of the implied volatility smile for options close to expiry in the exponential Levy class of asset price models with jumps. We introduce a new renormalisation of the strike v...
Pricing joint claims on an asset and its realized variance under stochastic volatility models
Volatility derivatives stochastic volatility models partial differential equations parabolic equations target volatility option.
2012/9/14
In a stochastic volatility framework, we find a general pricing equation for the class of payoffs depending on the terminal value of a market asset and its final quadratic variation. This allows a pri...
Fundamental theorems of asset pricing for piecewise semimartingales of stochastic dimension
Semimartingale Martingale Stochastic integration Fundamental theorem of asset pricing Stochastic dimension
2011/12/28
The purpose of this paper is two-fold. First is to extend the notions of an n-dimensional semimartin-gale and its stochastic integral to a piecewise semimartingale of stochastic dimension. The propert...
A Nonparametric Approach to Derivative Asset Pricing
Derivative pricing European options nonparametric kernel estimation
2010/9/7
We utilize the method of Bertholon, Monfort and Pegoraro (2006) for pricing European call options based on nonparametric estimation of returns. Densities are estimated using kernel estimation on rando...