Results 71 to 80 of about 32,934 (189)

The modified homotopy perturbation method and its application to the dynamics of price evolution in Caputo-fractional order Black Scholes model

Beni-Suef University Journal of Basic and Applied Sciences, 2023
Background Following a financial loss in trades due to lack of risk management in previous models from market practitioners, Fisher Black and Myron Scholes visited the academic setting and were able to mathematically develop an option pricing equation ...
Adedapo Ismaila Alaje, Morufu Oyedunsi Olayiwola, Kamilu Adewale Adedokun, Joseph Adeleke Adedeji, Asimiyu Olamilekan Oladapo, Yunus Olanrewaju Akeem   +5 more
doaj   +1 more source

Black-scholes type equations

, 2005
In this work we are concerned with the analysis and numerical solution of Black-Scholes type equations arising in the modeling of incomplete financial markets and an inverse problem of determining the local volatility function in a generalized Black-Scholes model from observed option prices. In the first chapter a fully nonlinear Black-Scholes equation
openaire   +3 more sources

Perpetual Futures Pricing

Mathematical Finance, EarlyView.
ABSTRACT Perpetual futures are contracts without expiration date in which the anchoring of the futures price to the spot price is ensured by periodic funding payments from long to short. We derive explicit expressions for the no‐arbitrage price of various perpetual contracts, including linear, inverse, and quantos futures in both discrete and ...
Damien Ackerer, Julien Hugonnier, Urban Jermann   +2 more
wiley   +1 more source

Application of Microlocal Analysis to an Inverse Problem Arising from Financial Markets [PDF]

, 2014
One of the most interesting problems discerned when applying the Black--Scholes model to financial derivatives, is reconciling the deviation between expected and observed values.
Doi, Shin-ichi, Ota, Yasushi
core  

Symmetry reduction and exact solutions of the non-linear Black--Scholes equation

, 2018
In this paper, we investigate the non-linear Black--Scholes equation: $$u_t+ax^2u_{xx}+bx^3u_{xx}^2+c(xu_x-u)=0,\quad a,b>0,\ c\geq0.$$ and show that the one can be reduced to the equation $$u_t+(u_{xx}+u_x)^2=0$$ by an appropriate point transformation ...
Kovalenko, Sergii, Patsiuk, Oleksii
core   +1 more source

The Black-Scholes-Merton dual equation

, 2019
We derive the Black-Scholes-Merton dual equation, which has exactly the same form as the Black-Scholes-Merton equation. The novel and general equation works for options with a payoff of homogeneous of degree one, including European, American, Bermudan, Asian, barrier, lookback, etc., and leads to new insights into pricing and hedging.
Guo, Shuxin, Liu, Qiang
openaire   +2 more sources

Multithread Approximation: An OpenMP Constructor

Concurrency and Computation: Practice and Experience, Volume 38, Issue 4, February 2026.
ABSTRACT This study introduces an OpenMP construct designed to simplify and unify the integration of approximate computing techniques into shared‐memory parallel programs. Approximate Computing leverages the inherent error tolerance of many applications to trade computational accuracy for gains in performance and energy efficiency.
João Briganti de Oliveira, Rogério Aparecido Gonçalves, João Fabrício Filho   +2 more
wiley   +1 more source

Solving the general form of the fractional Black–Scholes with two assets through Reconstruction Variational Iteration Method

Results in Applied Mathematics
The objective of this study is to examine the dynamic components of option pricing in the European put option market by utilizing the two-dimensional time fractional-order Black–Scholes equation.
Mohammad Hossein Akrami, Abbas Poya, Mohammad Ali Zirak   +2 more
doaj   +1 more source

Dynamic Debt With Intensity‐Based Models

Journal of Futures Markets, Volume 46, Issue 2, Page 334-352, February 2026.
ABSTRACT This article proposes a dynamic debt model where the face value of debt can change. In particular, our dynamic debt setting allows debt changes ruled by intensity processes that are linked to the firm value through the correlation between the stochastic processes. Analytical solutions are obtained, and we extend the proposed dynamic debt model
João Miguel Reis, José Carlos Dias
wiley   +1 more source

On properties of solutions to Black–Scholes–Barenblatt equations

Advances in Difference Equations, 2019
This paper is concerned with the Black–Scholes–Barenblatt equation ∂tu+r(x∂xu−u)+G(x2∂xxu)=0 $\partial _{t}u+r(x\partial _{x}u-u)+G(x^{2}\partial _{xx}u)=0$, where G(α)=12(σ‾2−σ_2)|α|+12(σ‾2+σ_2)α $G(\alpha )=\frac{1}{2}(\overline{\sigma}^{2}-\underline{\
Xinpeng Li, Yiqing Lin, Weicheng Xu
doaj   +1 more source