In this paper, we consider a family of complete or incomplete Financial models such that the price processes of the Financial assets converge in distribution to those in a limit model. Different authors pointed out that we do not have necessarily convergence of the arbitrage pricing intervals in...

The theory of asset pricing, which takes its roots in the Arrow-Debreu model (Theory of value [1959, chap. 7]), the Black and Sholes formula (1973) and Cox and Ross (1976 a and b), has been formalized in a general framework by Harrison and Kreps (1979), Harrison and Pliska (1979) and Kreps...

This paper derives a sufficient and necessary condition for arbitrage-free pricing, by the mathematical definition of linear dependency. It states that any pricing function that can be expressed as a linear combination of some of its partial derivatives inherently possesses the arbitrage-free...

Recent research suggests that fractional Brownian motion can be used to model the long-range dependence structure of the stock market. Fractional Brownian motion is not a semi-martingale and arbitrage opportunities do exist, however. Hu and Øksendal [Infin. Dimens. Anal., Quant. Probab. Relat....

In a Markovian setting, we introduce a class of pricing measures and forward measures. Using multiplicative perturbation theory of Markovian semigroups, we study the relationship between the pricing semigroup and the forward semigroup, and obtain the forward semigroup pricing method....

We consider an incomplete market in the form of a multidimensional Markovian factor model, driven by a general marked point process (representing discrete jump events) as well as by a standard multidimensional Wiener process. Within this framework we study arbitrage free good deal pricing bounds...

In this paper we examine the impact of several local and global risk factors on the stock returns of S&P 500 industries' indices by applying a multifactor arbitrage pricing model. The local macroeconomic factors are industrial production, inflation, changes of expected inflation, term structure,...

This study examines the factors that explain the return generating process of stocks listed on the JSE. Monthly returns of stocks listed on the JSE from 1997-2007 are analysed using mostly multivariate factor analysis techniques. The paper further explores the sensitivities of the factors...

King and Korf [4] introduced a new framework for analyzing pricing theory for incomplete markets and contingent claims. The fundamental theorem of asset pricing was reformulated in a very general form. We mentioned in [2] that their characterization of the arbitrage-free market is not correct....