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The Black–Scholes Model

1995
Introduction We begin this chapter with a discussion of the concept of arbitrage, a concept which, in certain circumstances, allows us to establish precise relationships between prices and thence to determine them. We then discuss option strategies in general and use arbitrage, together with the model for asset price movements that we discussed in ...
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Black-Scholes model

2011
In this chapter we present some of the fundamental ideas of arbitrage pricing in continuous time, illustrating Black-Scholes theory from a point of view that is, as far as possible, elementary and close to the original ideas in the papers by Merton [250], Black and Scholes [49].
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The Black-Scholes Model

1999
Abstract This chapter investigates the Black-Scholes model in detail. What we call the Black-Scholes model is not the formula for the value of a standard call option, but rather the economy consisting of a money market account with a constant interest rate and a risky security which does not pay dividends and whose price follows a ...
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Solutions of Black–Scholes

2019
Because many introductory courses in partial differential equations solve the heat equation, it is not necessary to do so here. Instead, the emphasis will be to explain the various terms embedded in the solution: All reflect those change of variables that converted the Black–Scholes Equation into the heat equation. These changes must be reinserted into
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Black-Scholes-Formel

2012
In diesem Kapitel soll eine beruhmteste Formel der Finanzmathematik hergeleitet werden, die Black-Scholes-Formel . Es ist nicht ubertrieben, die Entdeckung dieser Formel als den Beginn der modernen Finanzmathematik zu bezeichnen. Wir beschreiben in Abschnitt 10.1 das Problem, in Abschnitt 10.2 wird es auf eine partielle Differentialgleichung ...
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The Black–Scholes equation in finance: Quantum mechanical approaches

Physica A: Statistical Mechanics and Its Applications, 2023
Özlem Yeşiltaş
exaly  

Solving fractional Black–Scholes equation by using Boubaker functions

Mathematical Methods in the Applied Sciences, 2021
A A Khajehnasiri, M Safavi
exaly  

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