1,720,969 research outputs found
Pricing European and Barrier Options in the Fractional Black-Scholes Market
Get PDFThe aim of this paper is to obtain the valuation formulas for European and barrier options if the underlying of the option contract is supposed to be driven by a fractional Brownian motion with Hurst parameter greater than 0.5. The paper is build upon the framework developed in Necula (2007) for the valuation of derivative products in the fractional Black-Scholes market. We also obtain a reflection principle for the fractional Brownian motion.fractional Brownian motion, fractional Black-Scholes market, the reflection principle for the fractional Brownian motion, mathematical finance, European option, barrier option
A Framework for Derivative Pricing in the Fractional Black-Scholes Market
Get PDFThe aim of this paper is to develop a framework for evaluating derivatives if the underlying of the derivative contract is supposed to be driven by a fractional Brownian motion with Hurst parameter greater than 0.5. For this purpose we first prove some results regarding the quasi-conditional expectation, especially the behavior to a Girsanov transform. We obtain the risk-neutral valuation formula and the fundamental evaluation equation in the case of the fractional Black-Scholes market.fractional Brownian motion, fractional Black-Scholes market, quasiconditional expectation, mathematical finance, contingent claim
Modelling and Detecting Long Memory in Stock Returns
Get PDFIn this paper we revisit this issue of long memory in stock returns by applying a range of parametric and semi-parametric techniques to daily, weekly and monthly index return data on nine countries, namely the USA, Japan, France, Great Britain, Taiwan, Singapore and Romania. We also discuss a continuous trading model based on the fractional Brownian motion (a stochastic process that exhibit long memory) and pricing derivative securities under this model.Long Memory
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Asset Pricing in a Two-Country Discontinuous General Equilibrium Model
Get PDFThe aim of this paper is to develop a framework for asset pricing in a continuous time general equilibrium model for a two country Lucas type economy. The model assumes that the output in the two countries follows a jump-diffusion stochastic process characterized by constant growth rates and volatilities and by log-normal amplitude of the jumps. Using this specification we deduce the fundamental evaluation equations for financial assets as well as a formula for the price of exchange rate options in this economy.general equilibrium model, two-country Lucas economy, exchange rate, risk premium, jump-diffusion
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