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Analyzing the Spectrum of Asset Returns: Jump and Volatility Components in High Frequency Data
Analyzing the Spectrum Asset Returns Jump Volatility Components High Frequency Data
2014/3/13
This paper reports some of the recent developments in the econometric analysis of semimartingales estimated using high frequency financial returns. It describes a simple yet powerful methodology to de...
Precautionary Measures for Credit Risk Management in Jump Models
Credit risk management Double exponential jump diffusion Spectrally negative L´ evy processes
2010/10/19
Sustaining efficiency and stability by properly controlling the equity to asset ratio is one of the most important and difficult challenges in bank management. Due to unexpected and abrupt decline of...
A Loan Portfolio Model Subject to Random Liabilities and Systemic Jump Risk
A Loan Portfolio Model Random Liabilities Systemic Jump Risk
2010/10/20
We extend the Vasi\v{c}ek loan portfolio model to a setting where liabilities fluctuate randomly and asset values may be subject to systemic jump risk. We derive the probability distribution of the pe...
Two-sided estimates for stock price distribution densities in jump-diffusion models
Stochastic volatility models Jump-diffusion models Stock
2010/10/20
We consider uncorrelated Stein-Stein, Heston, and Hull-White models and their perturbations by compound Poisson processes with jump amplitudes distributed according to a double exponential law. Simila...
Basket Options Valuation for a Local Volatility Jump-Diffusion Model with the Asymptotic Expansion Method
Basket options pricing local volatility jump-diffusion model forward PIDE
2010/10/19
In this paper we discuss the basket options valuation for a jump-diffusion model. The underlying asset prices follow some correlated local volatility diffusion processes with systematic jumps. We deri...
Using pseudo-parabolic and fractional equations for option pricing in jump diffusion models
option pricing jump diffusion models
2010/10/18
In mathematical finance a popular approach for pricing options under some Levy model is to consider underlying that follows a Poisson jump diffusion process. As it is well known this results in a par...
Mandatory emission trading schemes are being established around the world. Participants of such market schemes are always exposed to risks. This leads to the creation of an accompanying market for emi...
Risk-Sensitive Asset Management in a Jump-Diffusion Factor Model
Asset management risk-sensitive stochastic control jump diffusion processes
2010/10/18
In this article we extend earlier work on the jump-diffusion risk-sensitive asset management problem by allowing for jumps in both the factor process and the asset prices as well as stochastic volatil...
Generalized pricing formulas for stochastic volatility jump diffusion models applied to the exponential Vasicek model
pricing formulas diffusion models the exponential Vasicek model
2010/12/13
Path integral techniques for the pricing of financial options are mostly based on models that can be recast in terms of a Fokker-Planck differential equation and that, consequently, neglect jumps and...