A family of Exponentially Fitted Block Backward Differentiation Formulas (EFBBDFs) whose coefficients depend on a parameter and step-size is developed and implemented on the Black-Scholes partial differential equation (PDE) for the valuation of options on a non-dividend-paying stock. Specific...

A family of Exponentially Fitted Block Backward Differentiation Formulas (EFBBDFs) whose coefficients depend on a parameter and step-size is developed and implemented on the Black-Scholes partial differential equation (PDE) for the valuation of options on a non-dividend-paying stock. Specific...

A direct quadrature method for the solution of Volterra integral equations with periodic solution is proposed. This method is based on an exponentially fitted quadrature rule of Gaussian type, whose parameters depend on the problem, in order to reproduce the behavior of the analytical solution....

The construction of symmetric and symplectic exponentially fitted modified Runge–Kutta–Nyström (SSEFRKN) methods is considered. Based on the symmetry, symplecticity, and exponentially fitted conditions, new explicit modified RKN integrators with FSAL property are obtained. The new...

We discuss the accurate numerical solution of Black-Scholes differential equations. We check that the stochastic part of the equation could convert small round-off or truncation errors in big errors. However, the numerical method used are low order even in the non-stochastic case due to the...

Using DCC-GARCH model, this paper finds that, since 1990, the relationship between crude oil prices and the US dollar index is time-varying, demonstrating a process of 'very weak correlation-negative correlation-enhanced negative correlation-weakening negative correlation', but the existing...

This study is an attempt to ascertain how sharp oil price changes can affect oil-exporting and oil-importing economies. To this end, a simultaneous equation model (SEM) was applied through a weighted two-stage least squares estimation method to different countries (21 cases) with business...

This study aims to investigate the effects of crude oil price (COP) and base rate (BR) on the strength of the Ringgit (RM) against the US Dollar (USD). Within the framework of the international Fisher effect theory, the study employs yearly data from the Bloomberg Database over an observed...

International tourism is one of the most important sectors of the open economy. The aim of this paper is to investigate the effects that income as gross domestic product, tourism price as the real exchange rate, and travel cost as the price of Brent crude oil have on inbound tourism demand...

This study provides insight into sustainability challenges in Venezuela by exploring the causal interactions between oil price, energy consumption and carbon dioxide (CO2) emissions in Venezuela. Economic growth, government consumption expenditure and trade openness are included as additional...