Numerical analysis of time fractional Black–Scholes European option pricing model arising in financial market

2019 ◽  
Vol 38 (4) ◽  
Author(s):  
Ahmad Golbabai ◽  
Omid Nikan ◽  
Touraj Nikazad
Keyword(s):  
Numerical Analysis ◽  
Option Pricing ◽  
Financial Market ◽  
Pricing Model ◽  
European Option ◽  
European Option Pricing ◽  
Black Scholes ◽  
Option Pricing Model

On the Black-Scholes European Option Pricing Model Robustness and Generality

2008 ◽  
Author(s):  
Hellinton Hatsuo Takada ◽  
José de Oliveira Siqueira ◽  
Marcelo de Souza Lauretto ◽  
Carlos Alberto de Bragança Pereira ◽  
Julio Michael Stern
Keyword(s):  
Option Pricing ◽  
Pricing Model ◽  
European Option ◽  
European Option Pricing ◽  
Black Scholes ◽  
Option Pricing Model ◽  
Model Robustness

scholarly journals Interval Pricing Study of Deposit Insurance in China

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Sulin Wu ◽  
Shenggang Yang ◽  
Yifan Wu ◽  
Sangzhi Zhu
Keyword(s):  
Option Pricing ◽  
Deposit Insurance ◽  
Hunan Province ◽  
Pricing Model ◽  
European Option ◽  
Intuitionistic Fuzzy Numbers ◽  
European Option Pricing ◽  
Asset Value ◽  
Black Scholes ◽  
Option Pricing Model

This paper first proposes a European option pricing method for deposit insurance based on triangular intuitionistic fuzzy numbers. In the proposed method, we take into account the randomness and fuzziness of bank asset value simultaneously, and hence, the method can adequately reflect the high uncertainty of bank asset value. This method fuzzifies the value of bank asset, resubmits it into the original deposit insurance option pricing model as a fuzzy random variable, and then gives an analytic formula of deposit insurance rates using a risk-neutral method. After this, we have also conducted a numerical analysis. In specific, we have obtained the premium interval and presented the static analysis of key parameters. Finally, seven small- and middle-sized banks in Hunan Province in China are used as examples to validate the proposed interval pricing model. The Black-Scholes option pricing model and Yoshida’s triangular fuzzy model are also employed for comparison. The research results show that the interval rates obtained from the proposed European option pricing method for deposit insurance can better reflect the uncertainty of bank asset evaluation than the fixed rates obtained from the Black-Scholes option pricing model. Moreover, the model proposed in this paper is also superior to Yoshida’s model in practice.

A generalized European option pricing model with risk management

2020 ◽  
Vol 545 ◽  
pp. 123797 ◽  
Author(s):  
Chengxiao Feng ◽  
Jie Tan ◽  
Zhenyu Jiang ◽  
Shuang Chen
Keyword(s):  
Risk Management ◽  
Option Pricing ◽  
Pricing Model ◽  
European Option ◽  
European Option Pricing ◽  
Option Pricing Model

Solution of time fractional Black-Scholes European option pricing equation arising in financial market

2016 ◽  
Vol 5 (4) ◽  
Author(s):  
A.S.V. Ravi Kanth ◽  
K. Aruna
Keyword(s):  
Boundary Conditions ◽  
Option Pricing ◽  
Financial Market ◽  
Differential Transform Method ◽  
European Option ◽  
Transform Method ◽  
European Option Pricing ◽  
Black Scholes ◽  
Differential Transform ◽  
Fractional Differential

AbstractIn this paper, we present fractional differential transform method (FDTM) and modified fractional differential transform method (MFDTM) for the solution of time fractional Black-Scholes European option pricing equation. The method finds the solution without any discretization, transformation, or restrictive assumptions with the use of appropriate initial or boundary conditions. The efficiency and exactitude of the proposed methods are tested by means of three examples.

Comparison of European Option Pricing Models at Multiple Periods

2021 ◽  
pp. 149-166
Author(s):  
Amir Ahmad Dar ◽  
N. Anuradha ◽  
Ziadi Nihel
Keyword(s):  
Option Pricing ◽  
Graphical Representation ◽  
European Option ◽  
Pricing Models ◽  
European Option Pricing ◽  
Black Scholes Model ◽  
Time Period ◽  
Black Scholes ◽  
Option Pricing Model ◽  
Anderson Darling

The point of this chapter is to think about the correlation of two well-known European option pricing models – Black Scholes Model and Binomial Option Pricing Model. The above two models not statistically significant at one period. In this examination, it is shown how the above two European models are statistically significant when the time period increases. The independent paired t-test is utilized with the end goal to demonstrate that they are statistically significant to vary from one another at higher time period and the Anderson Darling test being used for the normality test. The Minitab and Excel programming has been utilized for graphical representation and the hypothesis testing.

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