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Black-Scholes Partial Differential Equation

NUMERICAL SOLUTION OF BLACK – SCHOLES  PARTIAL DIFFERENTIAL EQUATION  USING DIRECT SOLUTION OF SECOND - ORDER ORDINARY DIFFERENTIAL EQUATION WITH  TWO - STEP HYBRID BLOCK METHOD OF ORDER SEVEN

NUMERICAL SOLUTION OF BLACK – SCHOLES PARTIAL DIFFERENTIAL EQUATION USING DIRECT SOLUTION OF SECOND - ORDER ORDINARY DIFFERENTIAL EQUATION WITH TWO - STEP HYBRID BLOCK METHOD OF ORDER SEVEN

... of Black-Scholes Partial Differential Equation using Direct solution of second-order Ordinary Differential Equation ODE with two-step hybrid Block Method of Order seven ...

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Black-Scholes Partial Differential Equation In The Mellin Transform Domain

Black-Scholes Partial Differential Equation In The Mellin Transform Domain

... the Black-Scholes partial differential equation in the Mellin transform ...the Black-Scholes valuation formula for European power put option by means of the convolution ...

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Alternative Approach for the Solution of the Black Scholes Partial Differential Equation for European Call Option

Alternative Approach for the Solution of the Black Scholes Partial Differential Equation for European Call Option

... The structure of the paper is organized as follows. In the next section, we give an overview of the most fun- damental ideas and mathematical tools needed for the Mellin transforms. We also present the most relevant ...

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The Mellin Transform Method as an Alternative Analytic Solution for the Valuation of Geometric Asian Option

The Mellin Transform Method as an Alternative Analytic Solution for the Valuation of Geometric Asian Option

... the Black-Scholes partial differential equation for Asian option is known as an explicit formula, this is due to the fact that the geometric average of a set of lognormal random ...

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Numerical Schemes and Monte Carlo Method for Black and Scholes Partial Differential Equation: A Comparative Note

Numerical Schemes and Monte Carlo Method for Black and Scholes Partial Differential Equation: A Comparative Note

... Abstract This paper comparatively investigates some iterative methods and Monte Carlo simulation technique for the dynamics underlying the celebrated Black and Scholes (BS) model. In particular we attempt ...

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On the White Noise of the Price of Stocks related to the Option Prices from the Black-Scholes Equation

On the White Noise of the Price of Stocks related to the Option Prices from the Black-Scholes Equation

... differential equation. For example, given the nonhomogeneous differential equation Lu(x) = f (x) where L is the partial differential operator, then we can find the particular ...

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The Operator Splitting Method for Black Scholes Equation

The Operator Splitting Method for Black Scholes Equation

... and Black and Merton [3], made an impor- tant breakthrough in the pricing of complex financial instruments by developing what has become known as the Black-Scholes ...evolutionary partial ...

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An Accurate Numerical Integrator for the Solution of Black Scholes Financial Model Equation

An Accurate Numerical Integrator for the Solution of Black Scholes Financial Model Equation

... a partial differential equation that must be satisfied by the price of any derivative se- curity dependent on a non-dividend-paying stock ...the Black-Scholes equation [4] [5]. ...

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AN ANALYSIS OF THE DAILY VARIATION OF THE VALUE OF AN OPTION OF A SHARE THROUGH THE BLACK-SCHOLES EQUATION

AN ANALYSIS OF THE DAILY VARIATION OF THE VALUE OF AN OPTION OF A SHARE THROUGH THE BLACK-SCHOLES EQUATION

... Fisher Black and Myron Scholes: the Itˆ o calculus, making the equations an elegant mathematical model that utilized partial differential equations ...

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Black Scholes Equation with the Variable Risk free Interest Rate

Black Scholes Equation with the Variable Risk free Interest Rate

... the Black-Scholes model, an important assumption in this model is risk-free interest rate which is ...the partial differential equation are both based on the risk-free rate obeying a ...

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European option pricing of fractional Black-Scholes model with new Lagrange multipliers

European option pricing of fractional Black-Scholes model with new Lagrange multipliers

... Fisher Black and Myron Scholes got an idea that would change the world of finance ...The Black-Scholes model (BS) for pricing stock options has been applied to many different commodities and ...

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The Equation of Real Option Value  under Trinomial Tree Model

The Equation of Real Option Value under Trinomial Tree Model

... The numerical computation of real option value is very important in the eva- luating of venture investment. We develop a trinomial tree pricing model of the real option, and prove that the equation of real option ...

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Variational iteration method for solving nth-order fuzzy integro-differential equations

Variational iteration method for solving nth-order fuzzy integro-differential equations

... In this paper, the variational iteration method for solving nth-order fuzzy integro-differential equations (nth-FIDE) is proposed. In fact the problem is changed to the system of ordinary fuzzy integro- ...

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Alternative Method to Solve Partial Differential Equation using MATLAB

Alternative Method to Solve Partial Differential Equation using MATLAB

... Partial Differential Equations are one of an important subjects and it is a foundation of many other aspects of applied science and ...of Differential Equations.From the early days of calculus, the ...

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Graphical Solution of Partial Differential Equation using MATLAB

Graphical Solution of Partial Differential Equation using MATLAB

... of Partial Differential Equation we are taking the range of independent variable x and y is “from 0 to 5” this means that we are plotting the graph between the range “0 to 5” and also the range of ...

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A class of intrinsic parallel difference methods for time space fractional Black–Scholes equation

A class of intrinsic parallel difference methods for time space fractional Black–Scholes equation

... diffusion equation based on the special structure of the established difference scheme; this was an earlier attempt to apply parallel computing to fractional difference equation ...diffusion equation; ...

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Jacobi Elliptic Function Solutions For Fractional Partial Differential Equations

Jacobi Elliptic Function Solutions For Fractional Partial Differential Equations

... fractional partial differential equations, where the fractional derivative is defined in the sense of the modified Riemann-Liouville ...fractional partial differential equation is ...

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On Finding Geodesic Equation of Normal Distribution and Gaussian Curvature

On Finding Geodesic Equation of Normal Distribution and Gaussian Curvature

...     (3.3) The Equation (3.1) is a well-known distance function. It will only need two out of above three equations to find normal distribution geodesic equation. We will choose the first and second ...

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A. Black-Scholes Model

A. Black-Scholes Model

... Abstract—The Black-Scholes (B-S) model is the traditional tool for giving a theoretical estimate of the price of European-style options. However, the basic assumptions on the assets and market made in the ...

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Multidimensional Black Scholes options

Multidimensional Black Scholes options

... Multidimensional Black-Scholes options Esposito, Francesco Paolo.[r] ...

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