The aim of this paper is to present a stochastic model that accounts for the effects of a long-memory in volatility on option pricing. The starting point is the stochastic Black-Scholes equation involving volatility with long-range dependence. We consider the option price as a sum of classical Black-Scholes price and random deviation describing the risk from the random volatility. By using the ...

What effect does candidate race have on co-racial voter turnout? Recent studies suggest that the presence of a black candidate results in an increase in black turnout. We argue that much of these findings can be attributed to the different design choices of previous researchers, and absence of attention paid to strategic candidate behavior. In this study we examine mayoral elections in the stat...

One of the most recent applications of GP to finance is to use genetic programming to derive option pricing formulas. Earlier studies take the Black–Scholes model as the true model and use the artificial data generated by it to train and to test GP. The aim of this paper is to provide some initial evidence of the empirical relevance of GP to option pricing. By using the real data from S&P 500 i...

Asset pricing theory based on rationality was widely criticized in literature. Indeed, the non-inclusion of investor behavior and assuming market efficiency led to weaknesses option valuation through traditional Black Scholes model (1973). In this paper we examine effect inclusion model. We test whether presence sentiment can lead an improvement calculation call price. Using daily data 30 liste...

A closed form option pricing formula is obtained, based on a stochastic model with statistical feedback. The fluctuations evolve according to a Tsallis distribution which fits empirical data for stock returns. A generalized form of the Black-Scholes PDE is derived, parametrized by the Tsallis entropic index q. We also derive a martingale representation which allows us to use concepts of risk-fr...

We give a brief survey of some fundamental concepts, methods and results in the mathematics of finance. The survey covers the 3 topics Chapter 1: Markets and arbitrages. The one-period model. The multi-period model. The continuous time model. Chapter 2: Contingent claims and completeness. Hedging. Complete markets. Chapter 3: Pricing of contingent claims. The Black and Scholes formula. Introduc...

Recently a reparametrized version of HJM model has been proposed which leads naturally to the innnite dimensional Markov process of forward curves. In this paper we discuss some consequences of the Markovian structure of forward rate dynamics. In particular, we obtain price of the swaption as a solution to the innnite dimensional "Black-Scholes" partial diierential equation.

Managerial flexibilities have to be taken into account in ex-ante decision-making on IT investment projects (ITIPs). In many papers of the IS literature, standard financial option pricing models are used to value such managerial flexibilities. Based on a review of the related literature, the paper critically discusses the assumptions of the most frequently used financial option pricing model, n...

In this paper two different methods are presented to approximate the solution of the fractional BlackScholes equation for valuation of barrier option. Also, the two schemes need less computational work in comparison with the traditional methods. In this work, we propose a new generalization of the two-dimensional differential transform method and decomposition method that will extend the applic...

The idea of real option is applied in military software pricing in this paper. By analysis of Black-Scholes pricing model, we figure two crucial variables. One is value of software option that is regarded as estimated cost in our study. We give the logical analysis based on the option feature of estimated cost and also the practical test by building up a system of equations. The other one is th...