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Mathematics, 2023 In this study, we use a new approach, known as the Aboodh residual power series method (ARPSM), in order to obtain the analytical results of the Black–Scholes differential equations (BSDEs), which are prime for judgment of European call and put options ...
Muhammad Imran Liaqat +2 more
doaj +1 more source
Long memory stochastic volatility in option pricing
, 2004 The aim of this paper is to present a simple stochastic model that accounts for the effects of a long-memory in volatility on option pricing. The starting point is the stochastic Black-Scholes equation involving volatility with long-range dependence.
Fedotov, Sergei, Tan, Abby
core +4 more sources
A high-order and fast scheme with variable time steps for the time-fractional Black-Scholes equation [PDF]
, 2021 Kerui Song, Pin Lyu
openalex +3 more sources
The Numerical Solution of Fractional Black-Scholes-Schrodinger Equation Using the RBFs Method
Advances in Mathematical Physics, 2020 In this paper, radial basis functions (RBFs) method was used to solve a fractional Black-Scholes-Schrodinger equation in an option pricing of financial problems. The RBFs method is applied in discretizing a spatial derivative process.
Naravadee Nualsaard +2 more
doaj +1 more source
The Futility of Utility: how market dynamics marginalize Adam Smith [PDF]
, 1999 Econometrics is based on the nonempiric notion of utility. Prices, dynamics, and market equilibria are supposed to be derived from utility. Utility is usually treated by economists as a price potential, other times utility rates are treated as ...
McCauley, Joseph L.
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پژوهشهای ریاضی, 2020 Introduction Fractional Differential Calculus (FDC) began in the 17th century and its initial discussions were related to the works of Leibniz, Lagrange, Abel and others.
Sedighe Sharifian +2 more
doaj
Almost sure optimal hedging strategy [PDF]
, 2014 In this work, we study the optimal discretization error of stochastic integrals, in the context of the hedging error in a multidimensional It\^{o} model when the discrete rebalancing dates are stopping times.
Gobet, Emmanuel, Landon, Nicolas
core +2 more sources
Fractional constant elasticity of variance model
, 2006 This paper develops a European option pricing formula for fractional market models. Although there exist option pricing results for a fractional Black-Scholes model, they are established without accounting for stochastic volatility.
Chan, Ngai Hang, Ng, Chi Tim
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A Delayed Black and Scholes Formula I [PDF]
, 2006 In this article we develop an explicit formula for pricing European options when the underlying stock price follows a non-linear stochastic differential delay equation (sdde). We believe that the proposed model is sufficiently flexible to fit real market
Bachelier L. +21 more
core +5 more sources
Board Independence and Adjustment Speed of CEO Inside Debt
European Financial Management, EarlyView.ABSTRACT We find that firms with more independent directors adjust CEO inside debt towards an optimum more quickly. This effect is more pronounced in financially unconstrained, growth, and under‐levered firms, and also firms led by more powerful or overconfident CEOs.
Bonnie Buchanan, Shuhui Wang, Tina Yang
wiley +1 more source