Nonlinear Black-Scholes equations have been increasingly attracting interest over the last two decades, since they provide more accurate values by taking into account more realistic assumptions, such as transaction costs, risks from an unprotected portfolio, large investor's preferences or illiquid
On analytical solutions of the Black–Scholes equation
✍ Scribed by Martin Bohner; Yao Zheng
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 372 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
This work presents a theoretical analysis for the Black-Scholes equation. Given a terminal condition, the analytical solution of the Black-Scholes equation is obtained by using the Adomian approximate decomposition technique. The mathematical technique employed in this work also has significance in studying some other problems in finance theory.
📜 SIMILAR VOLUMES
This paper deals with the numerical solution of Black-Scholes option pricing partial differential equations by means of semidiscretization technique. For the linear case a fourth-order discretization with respect to the underlying asset variable allows a highly accurate approximation of the solution
## Abstract An option hedge ratio is the sensitivity of an option price with respect to price changes in the underlying stock. It measures the number of shares of stocks to hedge an option position. This article presents a simple derivation of the hedge ratios under the Black‐Scholes option‐pricing