Results 81 to 90 of about 525 (141)

Modified Heisenberg Commutation Relations, Free Schrödinger Equations, Tunnel Effect and Its Connections with the Black–Scholes Equation

open access: yesAxioms
This paper explores the implications of modifying the canonical Heisenberg commutation relations over two simple systems, such as the free particle and the tunnel effect generated by a step-like potential.
Mauricio Contreras González   +2 more
doaj   +1 more source

Solving the Black-Scholes Partial Differential Equation via the Solution Method for a One-Dimensional Heat Equation: A Pedagogic Approach with a Spreadsheet-Based Illustration

open access: yesSpreadsheets in Education, 2019
The derivation of the Black-Scholes option pricing model, if covered in detail, is by far the most complicated among all major models in the finance curriculum.
Clarence C. Y. Kwan
doaj  

Dynamic Calibration Based on the Black-Scholes Option Pricing Model by Bayesian Method

open access: yesIEEE Access
To improve the shortcomings of the classic Black-Scholes model, mainly on the constant volatility and normal distribution assumptions, this paper investigates the dynamic calibration method, which makes the expected return rate, volatility and interest ...
Norris M. Mulenga, Yu Fu
doaj   +1 more source

Precificação de Opções com Volatilidade Estocástica

Option pricing with stochastic volatility

Precificación de Opciones con Volatilidad Estocástica

open access: yesRevista Brasileira de Gestão De Negócios, 2004
RESUMOEntre as suposições subjacentes do modelo Black-Scholes-Merton, as maiores polarizações empíricas são causadas por aquelas com uma volatilidade fixa do recurso subjacente.
MARTIN, Diógenes Manoel Leiva
doaj  

Dynamic Asset Pricing in a Unified Bachelier–Black–Scholes–Merton Model

open access: yesRisks
We present a unified, market-complete model that integrates both Bachelier and Black–Scholes–Merton frameworks for asset pricing. The model allows for the study, within a unified framework, of asset pricing in a natural world that experiences the ...
W. Brent Lindquist   +3 more
doaj   +1 more source

Pricing callable bonds and optimal callable time under the Fractional Black-Scholes market

open access: yesElectronic Journal of Differential Equations
This article concerns the pricing of callable bonds and the determination of optimal call time under the fractional Black-Scholes model. By employing a discrete approximation of the continuous asset price process, we efficiently estimate the continuation
Yuecai Han, Yinong Wu, Xudong Zheng
doaj  

The Black-Scholes Model

1997
The option pricing model developed by Black and Scholes (1973), formalized and extended in the same year by Merton (1973a), enjoys great popularity. It is computationally simple and, like all arbitrage-based pricing models, does not require the knowledge of an investor’s risk preferences.
Marek Musiela, Marek Rutkowski
openaire   +1 more source

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 ...
openaire   +1 more source

The Black–Scholes Model

2012
The Black–Scholes option pricing model is the first and by far the best-known continuous-time mathematical model used in mathematical finance. Here, it provides a sufficiently complex, yet tractable, testbed for exploring the basic methodology of option pricing.
Marek Capiński, Ekkehard Kopp
openaire   +1 more source

The Black-Scholes Model

2013
In the last chapter we introduced a binomial model, which provided an intuitive way for pricing derivatives and finding replicating portfolios. However, the binomial model often oversimplifies the real world, so that in practice one would aim to choose a model setup that better describes reality.
Hansjoerg Albrecher   +3 more
openaire   +1 more source

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