On the Interconnectedness of Schrodinger and Black-Scholes Equation
نویسندگان
چکیده
منابع مشابه
The Black-Scholes Equation
The most important application of the Itô calculus, derived from the Itô lemma, in financial mathematics is the pricing of options. The most famous result in this area is the Black-Scholes formulae for pricing European vanilla call and put options. As a consequence of the formulae, both in theoretical and practical applications, Robert Merton and Myron Scholes were awarded the Nobel Prize for E...
متن کاملRevisiting Black-Scholes Equation
In common finance literature, Black-Scholes partial differential equation of option pricing is usually derived with no-arbitrage principle. Considering an asset market, Merton applied the Hamilton-Jacobi-Bellman techniques of his continuous-time consumption-portfolio problem, deriving general equilibrium relationships among the securities in the asset market. In special case where the interest ...
متن کاملThe Quantum Black-scholes Equation
Motivated by the work of Segal and Segal in [16] on the Black-Scholes pricing formula in the quantum context, we study a quantum extension of the BlackScholes equation within the context of Hudson-Parthasarathy quantum stochastic calculus,. Our model includes stock markets described by quantum Brownian motion and Poisson process. 1. The Merton-Black-Scholes Option Pricing Model An option is a t...
متن کاملOn analytical solutions of the Black-Scholes equation
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.
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Physics
سال: 2015
ISSN: 2327-4352,2327-4379
DOI: 10.4236/jamp.2015.39137