Abstract.A new jump diffusion regime-switching model is introduced, which allows for linking jumps in asset prices with regime changes. We prove the existence and uniqueness of the solution to the risk-sensitive asset management criterion maximisation problem in this setting. We provide an ODE for the optimal value function, which may be efficiently solved numerically. Relevant probability measure changes are discussed in the appendix. The recently introduced approach of Klebaner and Liptser (2013) is used to prove the martingale property of the relevant density processes.
The existence of the pricing kernel is shown to imply the existence of an ambient information process that generates market filtration. This information process consists of a signal component concerning the value of the random variable X that can be interpreted as the timing of future cash demand, and an independent noise component. The conditional expectation of the signal, in particular, determines the market risk premium vector. An addition to the signal of any term that is independent of X, which generates a drift in the noise, is shown to change the drifts of price processes in the physical measure, without affecting the current asset price levels. Such a drift in the noise term can induce anomalous price dynamics, and can be seen to explain the mechanism of observed phenomena of equity premium and financial bubbles.
In this paper we would like to present and describe SIE, a transparent, intelligent Web proxy framework. Its aim is to provide efficient and robust platform for implementing various ideas in broad area of Web Mining. It enables the programmer to easily and quickly write modules that improve pages on that site according to personal characteristics of the particular user. SIE provides many features including user identification, logging of users' sessions, handling all necessary protocols, etc. SIE is implemented in OCaml -a functional programming language -and has been released on GPL.
In several countries a major factor contributing to the current economic crisis was massive borrowing to fund investment projects on the basis of, in retrospect, grossly optimistic valuations. The purpose of this paper is to initiate an approach to project valuation and risk management in which 'behavioural' factors-Keynes' 'animal spirits' or Greenspan's 'irrational exuberance'-can be explicitly included. An appropriate framework is riskneutral valuation based on the use of the numéraire portfolio-the 'benchmark' approach advocated by Platen and Heath (2006). In the paper, we start by discussing the ingredients of the problem: 'animal spirits', financial instability, market-consistent valuation, the numéraire portfolio and structural models of credit risk. We then study a project finance problem in which a bank lends money to an entrepreneur, collateralized by the value of the latter's investment project. This contains all the components of our approach in a simple setting and illustrates what steps are required. In a final section, we briefly discuss the econometric problems that need to be solved next.
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