In this article we have applied a numerical finite difference method to solve the Black-Scholes European and American option pricing both presented by fractional differential equations in time and asset.

Risk management and asset pricing benefit from simple functional descriptions of the distribution of real asset returns. Recently, several authors have proposed that asset returns in real stock markets are distributed according to a hyperbolic distribution. While asset returns are generated by trades over time, the natural question is: What does economic theory imply concerning return distribut...

This paper analyzes the role of money in asset markets characterized by search frictions. We develop a dynamic framework that brings together a model for illiquid financial assets à la Duffie, Gârleanu, and Pedersen, and a search-theoretic model of monetary exchange à la Lagos and Wright. The presence of decentralized financial markets generates an essential role for money, which helps investor...

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The existence of mean-variance efficient positive portfolios – portfolios with no negative weights – is a key requirement for equilibrium in the Capital Asset Pricing Model (CAPM). Brennan and Lo (2010) define an “impossible frontier” as a frontier on which all portfolios have at least one negative weight. They prove that for randomly drawn covariance matrices the probability of obtaining an im...

Article history: Received 3 August 2014 Received in revised form 27 September 2014 Accepted 24 October 2014 Available online 3 November 2014

Survey evidence suggests that many investors form beliefs about future stock market returns by extrapolating past returns. Such beliefs are hard to reconcile with existing models of the aggregate stock market. We study a consumption-based asset pricing model in which some investors form beliefs about future price changes in the stock market by extrapolating past price changes, while other inves...

The choice of model of normal returns in event studies has been widely discussed in the literature. While researchers frequently continue to use an array of alternatives, there is currently some tendency to favour cruder but simpler meanor marketadjusted returns models. This paper presents a general-to-specific model selection framework for testing the data admissibility of the principal models...

The need for understanding the propagation mechanisms behind the recent financial crises lead the increased interest for works associated with systemic risks. In this framework, network-based methods have been used to infer from data the linkages between institutions (or companies. Part of the literature postulates that systemic risk is strictly related (if not equal) to systematic risk. In thi...

We study properties of structured financial products optimizing a utility functional of a customer. The conventional method may have the disadvantage that the a priori restriction to a certain number of assets could make it impossible to find the optimal portfolio. So instead of optimizing the distribution of given assets, we impose only the price constraint as given by the CAPM and optimize th...