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9 articles for “Black Scholes Model”
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Research ArticleOpen accessEvery word in the titleA Review of the Recent Advances Made in the Black-Scholes Models and Respective Solutions MethodsYasir Hamad Al Saedi, Gurudeo Anand TularamThe Black-Scholes model has been a major advance in finance over a period of time; this paper examines this model in some detail, in terms of the latest developments in both analytical and numerical solutions. The paper initially briefly examines historical aspects but quickly moves to a critical analysis of the works in the applications, solutions and implications for the … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 8 Jan 2018 · 8,621 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleEstimation of the Parameters of the Stochastic Differential Equations Black-Scholes Model Share Price of GoldKhaldi Khaled, Meddahi SamiaProblem statement: The estimation of the parameters is one of main problems of the dynamic models in many scientific fields and particularly in economics and finance. In this study, we examine the techniques of estimation of the parameters of the Black-Scholes model. These techniques are based on the function of probability. Approach: The two estimations are based on the likelihood … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 24 Dec 2010 · 7,711 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleStatistical Inference on a Black-Scholes Model with Jumps. Application in HydrologyJ. Cesars, S.P. Nuiro, J. VaillantWe consider a Stochastic Differential Equation (SDE) driven by a Wiener process and a Poisson measure. This latter measure is associated with a sequence of identically distributed jump amplitudes. Properties of the SDE solution are presented with respect to the associated Wiener and Poisson processes. An algorithm is provided allowing exact numerical simulations of such SDE and implementable within R … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 24 Jul 2019 · 7,502 accessesView PDFCite
Research ArticleOpen accessIn the keywordsMultivariate Option Pricing with Gaussian Mixture Distributions and Mixed CopulasJimbo Henri Claver, Tatanfack Emerson, Shu FelixRecently, it has been reported that the hypothesis proposed by the classical black scholes model to price multivariate options in finance were unrealistic, as such, several other methods have been introduced over the last decades including the copulas methods which uses copulas functions to model the dependence structure of underlying assets. However, the previous work did not take into account … …Journal of Mathematics and Statistics, Vol. 19, Issue 1 · 3 Apr 2023 · 6,511 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn the Valuation of Currency Options in Stressed MarketsAbdulnasser Hatemi-J, Youssef El-KhatibThe current article handles the valuation of currency options in the market that is suffering from a financial crisis. The standard formulas for this purpose do not perform accurately. European foreign currency exchange options for both the call and the put versions are dealt with. It is assumed that the value of the underlying asset is a stochastic process that … …Journal of Mathematics and Statistics, Vol. 17, Issue 1 · 24 Dec 2021 · 6,499 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Comparative Study on Barrier Option Pricing using Antithetic and Quasi Monte-Carlo SimulationsNneka Umeorah, Phillip MasheleMonte-Carlo simulations have been utilized greatly in the pricing of derivative securities. Over the years, several variance reduction techniques have been developed to curb the instability, as well as, increase the simulation efficiencies of the Monte-Carlo methods. Our approach in this research work will consider the use of antithetic variate techniques to estimate the fair prices of barrier options. Next, … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 9 May 2018 · 8,793 accessesView PDFCite
Research ArticleOpen accessIn the abstractEUROPEAN CALL OPTION APPLICATION IN INCOMPLETE MARKET-ANALYSIS AND DEVELOPMENTRo’fah Nur Rachmawati, Sufon, Widodo BudihartoOption is derivative instrument that have investment benefit and provide return for the writer and the holder. Option price determination is affected by risk factor. However in Black-Scholes model option price is determined without arbitrage risk affection so it is impossible to take return. In this study, option price formula is constructed to be more represent the condition of financial … …Journal of Computer Science, Vol. 10, Issue 1 · 12 Nov 2013 · 7,174 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Price Hedging Model in Dynamic MarketKuo-Wei Lin, Kuang-Jung Tseng, Szu-Cheng ChengProblem statement: Pricing is a problem when a firm has to set a price for the first time. This happens when the firm develops or acquires a new product, introduces its regular product into a new distribution or geographical area, or enters bids on the new contract work. Many companies try to set the price to maximize current profits. They … …American Journal of Applied Sciences, Vol. 9, Issue 7 · 3 Aug 2012 · 6,938 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordA JUMP-DIFFUSION WITH STOCHASTIC VOLATILITY AND INTEREST RATEPairote Sattayatham, Paiboon PeeraparpIn this study, we present the application of Time Changed Levy method to model a jump-diffusion process with stochastic volatility and stochastic interest rate. We apply the Lewis Fourier transform method as well as the risk neutral expectation pricing method to derive a formula for a European option pricing. These combining methods give quite a short route to derive the … …Journal of Mathematics and Statistics, Vol. 9, Issue 1 · 27 Mar 2013 · 6,888 accessesView PDFCite