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Portfolio optimization in a defaults model under full/partial information
Optimal investment default time default intensity filtering
2010/10/19
In this paper, we consider a financial market with assets exposed to some risks inducing jumps in the asset prices, and which can still be traded after default times. We use a default-intensity model...
A simple model of mortality trends aiming at universality: Lee Carter + Cohort
mortality trends aiming universality
2010/10/19
The Lee Carter modelling framework is widely used because of its simplicity and robustness despite its inability to model specific cohort effects. A large number of extensions have been proposed that ...
Nonlinear Stochastic Model of Return matching to the data of New York and Vilnius Stock Exchanges
Nonlinear Stochastic Model New York Vilnius Stock Exchanges
2010/10/19
We scale and analyze the empirical data of return from New York and Vilnius stock exchanges matching it to the same nonlinear double stochastic model of return in financial market.
Adiabaticity Conditions for Volatility Smile in Black-Scholes Pricing Model
Volatility smile Black-Sholes model no-arbitrage conditions
2010/10/19
Our derivation of the distribution function for future returns is based on the risk neutral approach which gives a functional dependence for the European call (put) option price, C(K), given the stri...
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...
Diversity and Arbitrage in a Regulatory Breakup Model
Diversity Arbitrage Regulatory Breakup Model
2010/10/19
In 1999 Robert Fernholz observed an inconsistency between the normative assumption of existence of an equivalent martingale measure (EMM) and the empirical reality of diversity in equity markets. We ...
Sensitivity of the Performance of a Simple Exchange Model to its Topology
Simple Exchange Model Topology
2010/10/18
We study a simple exchange model in which price is fixed and the amount of a good transferred between actors depends only on the actors' respective budgets and the existence of a link between transact...
Default Risk Modeling Beyond the First-Passage Approximation: Extended Black-Cox Model
Default Risk Modeling the First-Passage Approximation Extended Black-Cox Model
2010/10/18
We develop a generalization of the Black-Cox structural model of default risk. The extended model captures uncertainty related to firm's ability to avoid default even if company's liabilities momentar...
A new space-time model for volatility clustering in the financial market
space-time model volatility clustering financial market
2010/10/18
A new space-time model for interacting agents on the financial market is presented. It is a combination of the Curie-Weiss model and a space-time model introduced by J\"arpe 2005. Properties of the m...
A proof of a conjecture in the Cramér-Lundberg model with investments
conjecture Cramér-Lundberg model investments
2010/10/19
In this paper, we discuss the Cram\'er-Lundberg model with investments, where the price of the invested risk asset follows a geometric Brownian motion with drift $a$ and volatility $\sigma> 0.$ By as...
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...
A Security Price Volatile Trading Conditioning Model
Security Price Trading Conditioning Model
2010/10/18
We develop a theoretical trading conditioning model subject to price volatility and return information in terms of market psychological behavior, based on analytical transaction volume-price probabili...
Stock prices are known to exhibit non-Gaussian dynamics, and there is much interest in under-
standing the origin of this behavior. Here, we present a model that explains the shape and scaling of the...
Risk Aversion and Portfolio Selection in a Continuous-Time Model
Risk Aversion Portfolio Selection Continuous-Time Model
2010/12/17
The comparative statics of the optimal portfolios across individuals is carried out for a continuous-time complete market model, where the risky assets price process follows a joint geometric Brownia...
A Dynamic Model for Credit Index Derivatives
Credit Risk CDO Option Dynamic Model Ane Model
2010/11/2
We present a new model for credit index derivatives, in the top-down approach. This model
has a dynamic loss intensity process with volatility and jumps and can include counterparty risk.It handles C...