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Quadratic BSDEs with Jumps and Related Non-linear Expectations: a Fixed-point Approach
BSDEs quadratic growth jumps non-linear Doob-Meyer decomposition dy-namical risk measures inf-convolution.
2012/9/17
We prove the existence of bounded solutions of quadratic backward SDEs with jumps, using a direct fixed point approach as in Tevzadze [35]. Under an additional standard assumption, we prove a uniquene...
Second Order BSDEs with Jumps, Part II: Existence and Applications
Second order backward stochastic differential equation backward stochas-tic differential equation with jumps
2012/9/14
In this paper, we follow the study of second order BSDEs with jumps started in our accompanying paper [17]. We prove existence of these equations bya direct method,thus providing complete wellposednes...
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...
Numerical methods for the quadratic hedging problem in Markov models with jumps
Quadratic hedging Hamilton-Jacobi-Bellman equation Markov jump processes Par-tial integro-di erential equation Holder spaces electricity markets discretization schemes for PIDE.
2012/9/14
We develop algorithms for the numerical computation of the quadratic hedging strategy in incomplete markets modeled by pure jump Markov process. Using the Hamilton-Jacobi-Bellman approach, the value f...
Preferences, Lévy Jumps and Option Pricing
equilibrium option pricing recursive utility Levy jumps
2011/4/2
This paper derives an equilibrium formula for pricing European options and other contingent claims which allows incorporating impacts of several important economic variable on security prices includin...
A Note on Delta Hedging in Markets with Jumps
Delta hedging exact replication martingale representation Black–Merton–Scholes model models with jumps
2011/3/30
Modelling stock prices via jump processes is common in financial markets. In practice, to hedge a contingent claim one typically uses the so-called delta-hedging strategy. This strategy stems from the...
TESTING WHETHER JUMPS HAVE FINITE OR INFINITE ACTIVITY
TESTING WHETHER JUMPS HAVE FINITE INFINITE ACTIVITY
2014/3/13
We propose statistical tests to discriminate between the finite and infinite activity of jumps in a semimartingale discretely observed at high frequency. The two statistics allow for a symmetric treat...
Error bounds for small jumps of Lévy processes and financial applications
Approximation of small jumps L´ evy processes Skorokhod embedding
2010/10/21
The pricing of exotic options in exponential L\'evy models amounts to the computation of expectations of functionals of the whole path of a L\'evy process. In many situations, Monte-Carlo methods are ...
Optimal closing of a pair trade with a model containing jumps
a pair trade a model containing jumps
2010/10/19
A pair trade is a portfolio consisting of a long position in one asset and a short position in another, and it is a widely applied investment strategy in the financial industry. Recently, Ekstr\"om, ...
Optimal closing of a pair trade with a model containing jumps
short position investment strategy financial industry
2010/4/28
A pair trade is a portfolio consisting of a long position in one asset and a short position in another, and it is a widely applied investment strategy in the financial industry. Recently, Ekstr\"om, L...
Testing for jumps in noisy high frequency data
Semimartingale Testing for jumps High frequency data Market microstructure noise Pre-averaging
2014/3/13
This paper proposes a robustification of the test statistic of Aït-Sahalia and Jacod (2009b) for the presence of market microstructure noise in high frequency data, based on the pre-averaging met...
Exotic derivatives under stochastic volatility models with jumps
Double-barrier options volatility surface volatility derivatives forward starting options
2010/11/3
In equity and foreign exchange markets the risk-neutral dynamics of the underlying asset are commonly represented by stochastic volatility models with jumps. In this paper we consider a dense subclass...
Volatility derivatives in market models with jumps
Volatility derivatives market models with jumps
2010/11/1
It is well documented that a model for the underlying asset price process that seeks to capture the behaviour of the market prices of vanilla options needs to exhibit both diffusion and jump features....
On perpetual American put valuation and first-passage in a regime-switching model with jumps
perpetual American valuation first-passage regime-switching model jumps
2010/12/17
In this paper we consider the problem of pricing a perpetual American put option in an exponential regime-switching L\'{e}vy model. For the case of the (dense) class of phase-type jumps and finitely ...
Stock price jumps: news and volume play a minor role
Stock price jumps news volume play minor role
2010/12/17
In order to understand the origin of stock price jumps, we cross-correlate high-frequency time series of stock returns with different news feeds. We find that neither idiosyncratic news nor market wid...