The paper presents an application of symmetry approach to finance. This symmetry approach comes from the gauge field theory in Physics. We revise the pricing model of financial derivatives in a financial market in a gauge symmetry view, and rewrite it as a partial differential equation on a fiber bundle in covariant differential form so as to have invariance in form. The paper shows the form of...

Our earlier paper [see Ho, R. Y.-W., Strange, R., & Piesse, J. (2006). On the conditional pricing effects of beta, size, and book-to-market equity in the Hong Kong market. Journal of International Financial Markets, Institutions and Money, 16, 124–199] reported evidence supporting significant conditional pricing effects of beta, size, and book-to-market equity in the Hong Kong market. This stud...

Strong brands bring numerous benefits for both the companies and their customers such as decreasing purchasing risk and searching cost and increasing the likelihood of repurchasing. It is not presented an applied model for determining the price of this asset in Iran, especially in terms of merger and acquisition. The purpose of this study is to develop a model for pricing brand value in Iran’s ...

In this paper we propose and test a valuation methodology for improving the efficiency of contingent claims pricing using Artificial Neural Networks (ANN). Contingent claims is by now a standard method for pricing under uncertainty nonlinear (option embedded) contracts, for both financial options (standardized or customized) and real (investment) opportunities. In the presence of liquid option ...

The pricing of options, warrants and other derivative securities is one of the great success of financial economics. These financial products can be modeled and simulated using quantum mechanical instruments based on a Hamiltonian formulation. We show here some applications of these methods for various potentials, which we have simulated via lattice Langevin and Monte Carlo algorithms, to the p...

The Backward Stochastic Differential Equation (BSDE) is a robust tool for financial derivatives pricing and risk management. In this paper, we explore the opportunity for parallel computing with BSDEs in financial engineering. A binomial tree based numerical method for BSDEs is investigated and applied to option pricing. According to the special structure of the numerical model, we develop a bl...

We reconsider the microeconomic foundations of financial economics under Knightian Uncertainty. In a general framework, we discuss the absence of arbitrage, its relation to economic viability, and the existence of suitable nonlinear pricing expectations. Classical financial markets under risk and no ambiguity are contained as special cases, including various forms of the Efficient Market Hypoth...

We investigate entropy as a financial risk measure. Entropy explains the equity premium of securities and portfolios in a simpler way and, at the same time, with higher explanatory power than the beta parameter of the capital asset pricing model. For asset pricing we define the continuous entropy as an alternative measure of risk. Our results show that entropy decreases in the function of the n...