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Dissertations / Theses on the topic 'Black and Scholes options pricing model'

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Published: 3 June 2025

Last updated: 31 July 2025

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1

Hassan, Shakill. "The Black-Scholes model and the pricing of stock options in South Africa." Master's thesis, University of Cape Town, 1999. http://hdl.handle.net/11427/14302.

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Bibliography: leaves 52-54.<br>Option Pricing Theory (OPT), along with the Capital Asset Pricing Model, the Theory of Capital Structure, and the Efficient Markets Hypothesis, form one of the pillars of modem finance theory. Central to OPT is the Black-Scholes model, the first option pricing model derived within a general equilibrium framework, and therefore consistent with all arbitrage conditions an asset pricing model must satisfy. An attempt is made at explaining this model, and the first part of the paper is devoted to this objective. The appreciation of the theoretical elegance of the Bla

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2

Yang, Yuankai. "Pricing American and European options under the binomial tree model and its Black-Scholes limit model." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-68264.

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We consider the N step binomial tree model of stocks. Call options and put options of European and American type are computed explicitly. With appropriate scaling in time and jumps, convergence of the stock prices and the option prices are obtained as N-> infinite. The obtained convergence is the Black-Scholes model and, for the particular case of European call option, the Black-Scholes formula is obtained. Furthermore, the Black-Scholes partial differential equation is obtained as a limit from the N step binomial tree model. Pricing of American put option under the Black-Scholes model is

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3

Rich, Don R. "Incorporating default risk into the Black-Scholes model using stochastic barrier option pricing theory." Diss., This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-06062008-171359/.

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4

Saleh, Ali, and Ahmad Al-Kadri. "Option pricing under Black-Scholes model using stochastic Runge-Kutta method." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-53783.

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The purpose of this paper is solving the European option pricing problem under the Black–Scholes model. Our approach is to use the so-called stochastic Runge–Kutta (SRK) numericalscheme to find the corresponding expectation of the functional to the stochastic differentialequation under the Black–Scholes model. Several numerical solutions were made to study howquickly the result converges to the theoretical value. Then, we study the order of convergenceof the SRK method with the help of MATLAB.

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5

Balshaw, Lloyd Stanley. "Model Misspecification and the Hedging of Exotic Options." Master's thesis, University of Cape Town, 2018. http://hdl.handle.net/11427/28437.

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Asset pricing models are well established and have been used extensively by practitioners both for pricing options as well as for hedging them. Though Black-Scholes is the original and most commonly communicated asset pricing model, alternative asset pricing models which incorporate additional features have since been developed. We present three asset pricing models here - the Black-Scholes model, the Heston model and the Merton (1976) model. For each asset pricing model we test the hedge effectiveness of delta hedging, minimum variance hedging and static hedging, where appropriate. The option

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6

Sjödin, Elin. "Option Pricing in Discrete Time and Connections between the Binomial Model and Black-Scholes Model." Thesis, Uppsala universitet, Analys och sannolikhetsteori, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-253765.

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7

Sundvall, Tomas, and David Trång. "Examination of Impact from Different Boundary Conditions on the 2D Black-Scholes Model : Evaluating Pricing of European Call Options." Thesis, Uppsala universitet, Avdelningen för beräkningsvetenskap, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-230866.

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This paper examines different combinations of close-field and far-field boundary conditions for solving the 2D Black-Scholes model using finite difference methods in space. The combinations were also tested for different parameter settings. The research showed that in the area close to the strike price, the error was not particularly affected by the boundary conditions but rather by the characteristics of the problem itself. The main differences in error for the combinations of conditions are located close to the boundaries. However, if the computational domain for some reason has to be reduce

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8

Hu, Junling. "Barrier Option Pricing under SABR Model Using Monte Carlo Methods." Digital WPI, 2013. https://digitalcommons.wpi.edu/etd-theses/655.

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The project investigates the prices of barrier options from the constant underlying volatility in the Black-Scholes model to stochastic volatility model in SABR framework. The constant volatility assumption in derivative pricing is not able to capture the dynamics of volatility. In order to resolve the shortcomings of the Black-Scholes model, it becomes necessary to find a model that reproduces the smile effect of the volatility. To model the volatility more accurately, we look into the recently developed SABR model which is widely used by practitioners in the financial industry. Pricing a bar

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9

Saleemi, Asima Parveen. "Finite Difference Methods for the Black-Scholes Equation." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-48660.

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Financial engineering problems are of great importance in the academic community and BlackScholes equation is a revolutionary concept in the modern financial theory. Financial instruments such as stocks and derivatives can be evaluated using this model. Option evaluation, is extremely important to trade in the stocks. The numerical solutions of the Black-Scholes equation are used to simulate these options. In this thesis, the explicit and the implicit Euler methods are used for the approximation of Black-scholes partial differential equation and a second order finite difference scheme is used

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10

Lee, Chi-ming Simon, and 李志明. "A study of Hong Kong foreign exchange warrants pricing using black-scholes formula." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1992. http://hub.hku.hk/bib/B3126542X.

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11

Paulin, Carl, and Maja Lindström. "Option pricing models: A comparison between models with constant and stochastic volatilities as well as discontinuity jumps." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-172226.

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The purpose of this thesis is to compare option pricing models. We have investigated the constant volatility models Black-Scholes-Merton (BSM) and Merton’s Jump Diffusion (MJD) as well as the stochastic volatility models Heston and Bates. The data used were option prices from Microsoft, Advanced Micro Devices Inc, Walt Disney Company, and the S&P 500 index. The data was then divided into training and testing sets, where the training data was used for parameter calibration for each model, and the testing data was used for testing the model prices against prices observed on the market. Calib

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12

Sushko, Stepan. "Pricing of European type options for Levy and conditionally Levy type models." Thesis, Halmstad University, School of Information Science, Computer and Electrical Engineering (IDE), 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-2205.

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<p>In this thesis we consider two models for the computation of option prices. The first one is a generalization of the Black-Scholes model. In this generalization the volatility Sigma is not a constant. In the simplest case it changes at once at a certain time moment Tau. In some sense this is the conditionally Levy model. For this generalized Black-Scholes model have been theoretically obtained formulas for vanilla Call/Put option prices. Under the assumption of a good prediction of the parameter Sigma the obtained numerical results fit the real dara better than standard Black-Scholes model.

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13

Angeli, Andrea, and Cornelius Bonz. "Changes in the creditability of the Black-Scholes option pricing model due to financial turbulences." Thesis, Umeå University, Umeå School of Business, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-34873.

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<p>This study examines whether the performance of the Black-Scholes model to price stock index options is influenced by the general conditions of the financial markets. For this purpose we calculated the theoretical values of 5814 options (3366 put option price observations and 2448 call option price observations) under the Black-Scholes assumptions. We compared these theoretical values with the real market prices in order to put the degree of deviations in two different time windows built around the bankruptcy of Lehman Brothers (September 15th 2008) to the test. We find clear evidences to st

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14

Mboussa, Anga Gael. "Calibration and Model Risk in the Pricing of Exotic Options Under Pure-Jump Lévy Dynamics." Thesis, Stellenbosch : Stellenbosch University, 2015. http://hdl.handle.net/10019.1/98030.

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Thesis (MSc)--Stellenbosch University, 2015<br>AFRIKAANSE OPSOMMING : Die groeiende belangstelling in kalibrering en modelrisiko is ’n redelik resente ontwikkeling in finansiële wiskunde. Hierdie proefskrif fokusseer op hierdie sake, veral in verband met die prysbepaling van vanielje-en eksotiese opsies, en vergelyk die prestasie van verskeie Lévy modelle. ’n Nuwe metode om modelrisiko te meet word ook voorgestel (hoofstuk 6). Ons kalibreer eers verskeie Lévy modelle aan die log-opbrengs van die S&P500 indeks. Statistiese toetse en grafieke voorstellings toon albei aan dat suiwer sprongm

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15

Gamerov, Steven. "An investigation into the use of the Black-Scholes model for pricing long term options, for the purpose of costing maturity guarantees." Master's thesis, University of Cape Town, 1995. http://hdl.handle.net/11427/17475.

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Bibliography: pages 117-[124].<br>This thesis investigates the use of the Black-Scholes option pricing model for long term options for the purposes of costing long term maturity guarantees. The maturity guarantees concerned are typically given on endowment policies issued by life offices. These endowment policies have terms usually in excess of five years. The thesis investigates whether the assumptions underlying the Black-Scholes model, which was developed for pricing short term traded options, are still acceptable when applied to long term options, and if not, what adjustments need to be ma

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16

Mello, Alexandre Andrade de. "Formação do preço de opções: utilização de um modelo alternativo para a formação do preço de opção sobre futuro de dólar e comparação com o modelo de Black." Universidade de São Paulo, 2005. http://www.teses.usp.br/teses/disponiveis/12/12139/tde-23072006-034932/.

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A utilização do modelo de Black-Scholes e suas extensões na precificação de opções é bastante difundida tanto na academia quanto no mercado financeiro. O objetivo deste trabalho foi avaliar o desempenho de um modelo alternativo de precificação de opções em relação ao do modelo de Black na precificação de opções sobre futuro de dólar. Mais especificamente, a partir de hipóteses sobre o comportamento agregado da economia, da trajetória de preços de ativos e das preferências a risco dos agentes econômicos, é possível reconciliar uma condição de equilíbrio parcial, necessária para a precificação d

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17

Krämer, Romy, and Matthias Richter. "A Generalized Bivariate Ornstein-Uhlenbeck Model for Financial Assets." Universitätsbibliothek Chemnitz, 2008. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200800572.

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In this paper, we study mathematical properties of a generalized bivariate Ornstein-Uhlenbeck model for financial assets. Originally introduced by Lo and Wang, this model possesses a stochastic drift term which influences the statistical properties of the asset in the real (observable) world. Furthermore, we generali- ze the model with respect to a time-dependent (but still non-random) volatility function. Although it is well-known, that drift terms - under weak regularity conditions - do not affect the behaviour of the asset in the risk-neutral world and consequently the Black-Scholes option

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18

Berta, Abaynesh. "Option Pricing using the Fast Fourier Transform Method." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-51058.

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The fast Fourier transform (FFT), even though it has been widely applicable in Physics and Engineering, it has become attractive in Finance as well for it’s enhancement of computational speed. Carr and Madan succeeded in implementing the FFT for pricing of an option. This project, inspired by Carr and Madan’s paper, attempts to elaborate and connect the various mathematical and theoretical concepts that are helpful in understanding of the derivation. Further, we derive the characteristic function of the risk neutral probability for the logarithmic terminal stock price. The Black-Scholes-Merton

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19

Arotiba, Gbenga Joseph. "Pricing American Style Employee Stock Options having GARCH Effects." Thesis, University of the Western Cape, 2010. http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_3057_1298615964.

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<p>We investigate some simulation-based approaches for the valuing of the employee stock options. The mathematical models that deal with valuation of such options include the work of Jennergren and Naeslund [L.P Jennergren and B. Naeslund, A comment on valuation of executive stock options and the FASB proposal, Accounting Review 68 (1993) 179-183]. They used the Black and Scholes [F. Black and M. Scholes, The pricing of options and corporate liabilities, Journal of Political Economy 81(1973) 637-659] and extended partial differential equation for an option that includes the early exercise. Som

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20

Šitavanc, Jan. "Exotické opce a jejich možné využití v investiční praxi." Master's thesis, Vysoké učení technické v Brně. Fakulta podnikatelská, 2010. http://www.nusl.cz/ntk/nusl-222738.

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Diplomová práce primárně řeší zda jsou exotické opce vhodné pro zajištění kurzových rizik a přináší návrh vhodné aplikace exotických opcí. Práce je zaměřena na úzkou skupinu exotických opcí, tzv. Path-Dependent opce. Tři často používané typy těchto opcí jsou analyzovány a testovány jak mezi sebou tak pro lepší porovnání i s klasickou vanilla opcí. Hlavním výstupem diplomové práce je návrh vhodného využití testovaných exotických opcí.

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21

Bartoň, Ľuboš. "Oceňovanie opcií so stochastickou volatilitou." Master's thesis, Vysoká škola ekonomická v Praze, 2010. http://www.nusl.cz/ntk/nusl-77823.

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This diploma thesis deals with problem of option pricing with stochastic volatility. At first, the Black-Scholes model is derived and then its biases are discussed. We explain shortly the concept of volatility. Further, we introduce three pricing models with stochastic volatility- Hull-White model, Heston model and Stein-Stein model. At the end, these models are reviewed.

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22

Londani, Mukhethwa. "Numerical Methods for Mathematical Models on Warrant Pricing." University of the Western Cape, 2010. http://hdl.handle.net/11394/8210.

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>Magister Scientiae - MSc<br>Warrant pricing has become very crucial in the present market scenario. See, for example, M. Hanke and K. Potzelberger, Consistent pricing of warrants and traded options, Review Financial Economics 11(1) (2002) 63-77 where the authors indicate that warrants issuance affects the stock price process of the issuing company. This change in the stock price process leads to subsequent changes in the prices of options written on the issuing company's stocks. Another notable work is W.G. Zhang, W.L. Xiao and C.X. He, Equity warrant pricing model under Fractional Brownian m

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23

Canafoglia, Fabio. "An Introduction to Credit Risk and Asset Pricing." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2016. http://amslaurea.unibo.it/12321/.

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Into the Thesis, the author will try to give the basis of risk management and asset pricing. Both of them are fundamental elements to understand how the financial models work; this topic is judged important in the perspective of successive studies in financial math: having clear the starting point makes things easier. From the title it is clear that modern and more complex models will be only touched upon. We decide to divide the dissertation in two different parts because, in our opinion, it is more evident that two different ways to approach at credit risk exist: on one side we try to quant

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24

Яременко, Наталія Сергіївна, Наталья Сергеевна Яременко, Nataliia Serhiivna Yaremenko та С. О. Хайлук. "Сучасні моделі оцінки вартості банку і можливість їх застосування в Україні". Thesis, ВД «ІНЖЕК», 2010. http://essuir.sumdu.edu.ua/handle/123456789/59575.

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Krebs, Daniel. "Pricing a basket option when volatility is capped using affinejump-diffusion models." Thesis, KTH, Matematisk statistik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-123395.

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This thesis considers the price and characteristics of an exotic option called the Volatility-Cap-Target-Level(VCTL) option. The payoff function is a simple European option style but the underlying value is a dynamic portfolio which is comprised of two components: A risky asset and a non-risky asset. The non-risky asset is a bond and the risky asset can be a fund or an index related to any asset category such as equities, commodities, real estate, etc. The main purpose of using a dynamic portfolio is to keep the realized volatility of the portfolio under control and preferably below a certain

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Kheirollah, Amir. "Monte Carlo Simulation of Heston Model in MATLAB GUI." Thesis, Mälardalen University, Mälardalen University, Department of Mathematics and Physics, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-4253.

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<p>In the Black-Scholes model, the volatility considered being deterministic and it causes some</p><p>inefficiencies and trends in pricing options. It has been proposed by many authors that the</p><p>volatility should be modelled by a stochastic process. Heston Model is one solution to this</p><p>problem. To simulate the Heston Model we should be able to overcome the correlation</p><p>between asset price and the stochastic volatility. This paper considers a solution to this issue.</p><p>A review of the Heston Model presented in this paper and after modelling some investigations</p><p>are done

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Gříšek, Lukáš. "Cena volatility finančních proměnných." Master's thesis, Vysoká škola ekonomická v Praze, 2011. http://www.nusl.cz/ntk/nusl-113803.

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This diploma thesis describes problem of change-points in volatility of the time-series and their impact on price of nancial assets. Those change-points are estimated by using statistical methods and tests. Change-point estimation was tested on simulated datas and real world driven datas. Simulation helped to discover signi cant characteristics of change-point test, those data were simulated with using stochastic calculus. Google share prices and prices of call options were chosen to analyse impact of volatility change on those prices. Also implied volatility and its impact to call option pric

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Moravec, Radek. "Oceňování opcí a variance gama proces." Master's thesis, Vysoká škola ekonomická v Praze, 2010. http://www.nusl.cz/ntk/nusl-18707.

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The submitted work deals with option pricing. Mathematical approach is immediately followed by an economic interpretation. The main problem is to model the underlying uncertainities driving the stock price. Using two well-known valuation models, binomial model and Black-Scholes model, we explain basic principles, especially risk neutral pricing. Due to the empirical biases new models have been developped, based on pure jump process. Variance gamma process and its special symmetric case are presented.

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Karlén, Anne, and Hossein Nohrouzian. "Lattice approximations for Black-Scholes type models in Option Pricing." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-21951.

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This thesis studies binomial and trinomial lattice approximations in Black-Scholes type option pricing models. Also, it covers the basics of these models, derivations of model parameters by several methods under different kinds of distributions. Furthermore, the convergence of binomial model to normal distribution, Geometric Brownian Motion and Black-Scholes model isdiscussed. Finally, the connections and interrelations between discrete random variables under the Lattice approach and continuous random variables under models which follow Geometric Brownian Motion are discussed, compared and con

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Lundberg, Robin. "En undersökning av kvantiloptioners egenskaper." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-138949.

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Optioner säljs och köps idag flitigt av många olika anledningar. En av dessa kan vara spekulation kring framtida händelser för aktiepriser där optioner har fördelar jämfört med aktier i form av en hävstångseffekt. En annan anledning för optionshandel är för att hedga (säkra) risker vilket ställer krav på att innehavet av optionen ska kompensera den negativa effekt som riskerna bidrar till. Med andra ord, om det finns en risk för ett negativt framtida scenario som man inte vill riskera att utsätta sig för så kan optioner vara rätt verktyg att använda sig av. Risker finns idag överallt, i olik

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Nohrouzian, Hossein, and Anne Karlén. "Lattice Approximations for Black-Scholes type models in Option Pricing." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-23511.

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This thesis studies binomial and trinomial lattice approximations in Black-Scholes type option pricing models. Also, it covers the basics of these models, derivations of model parameters by several methods under different kinds of distributions. Furthermore, the convergence of the binomial model to normal distribution, Geometric Brownian Motion and Black-Scholes model is discussed. Finally, the connections and interrelations between discrete random variables under the Lattice approach and continuous random variables under models which follow Geometric Brownian Motion are discussed, compared an

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RUSSO, Vincenzo. "Pricing and managing life insurance risks." Doctoral thesis, Università degli studi di Bergamo, 2012. http://hdl.handle.net/10446/26710.

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The aim of this thesis is to investigate about the quantitative models used for pricing and managing life insurance risks. It was done analyzing the existing literature about methods and models used in the insurance field in order to developing (1) new stochastic models for longevity and mortality risks and (2) new pricing functions for life insurance policies and options embedded in such contracts. The motivations for this research are to be searched essentially in: (1) a new risk-based solvency framework for the insurance industry, the so-called Solvency II project, that will becomes effect

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Menes, Matheus Dorival Leonardo Bombonato. "Versão discreta do modelo de elasticidade constante da variância." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-16042013-151325/.

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Neste trabalho propomos um modelo de mercado através de uma discretização aleatória do movimento browniano proposta por Leão & Ohashi (2010). Com este modelo, dada uma função payoff, vamos desenvolver uma estratégia de hedging e uma metodologia para precificação de opções<br>In this work we propose a market model using a discretization scheme of the random Brownian motion proposed by Leão & Ohashi (2010). With this model, for any given payoff function, we develop a hedging strategy and a methodology to option pricing

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Coelho, Afonso Valente Ricardo de Seabra. "American options and the Black-Scholes Model." Master's thesis, Instituto Superior de Economia e Gestão, 2020. http://hdl.handle.net/10400.5/20735.

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Mestrado em Mathematical Finance<br>Os problemas de apreçamento de opções têm sido um dos principais assuntos de em Matemática Financeira, desde a criação desse conceito nos anos 70. Mais especificamente, as opções americanas são de grande interesse nesta área do conhecimento porque são matematicamente muito mais complexas do que as opções europeias padrão e o modelo de Black-Scholes não fornece, na maioria dos casos, uma fórmula explícita para a determinação do preço deste tipo de opções. Nesta dissertação, mostramos como o estudo de opções americanas conduz à análise de problemas de frontei

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Pagliarani, Stefano. "Portfolio optimization and option pricing under defaultable Lévy driven models." Doctoral thesis, Università degli studi di Padova, 2014. http://hdl.handle.net/11577/3423519.

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In this thesis we study some portfolio optimization and option pricing problems in market models where the dynamics of one or more risky assets are driven by Lévy processes, and it is divided in four independent parts. In the first part we study the portfolio optimization problem, for the logarithmic terminal utility and the logarithmic consumption utility, in a multi-defaultable Lévy driven model. In the second part we introduce a novel technique to price European defaultable claims when the pre-defaultable dynamics of the underlying asset follows an exponential Lévy process. In the third

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Duan, Fangjing. "Option pricing models and volatility surfaces." St. Gallen, 2005. http://www.biblio.unisg.ch/org/biblio/edoc.nsf/wwwDisplayIdentifier/03607991001/$FILE/03607991001.pdf.

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Jönsson, Ola. "Option pricing and Bayesian learning /." Lund: Univ., Dep. of Economics, 2007. http://www.gbv.de/dms/zbw/541563130.pdf.

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Романко, Олексій Ростиславович. "Фрактальні моделі економічних процесів". Master's thesis, Київ, 2018. https://ela.kpi.ua/handle/123456789/23562.

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Магістерська дисертація: 94 с., 10 рис., 31 табл., 3 додатки, 21 джерело. В роботі розглядається процеси побудови математичних моделей для прогнозування ціни опціонів на економічні індекси. У роботі обговорюються три типи моделей – фрактальна модель Блека - Шоулза, класична модель Блека - Шоулза, модель Stochastic Alpha, Betha, Rho. Актуальність даної дисертації полягає у висвітленні нового підходу до моделювання опціонного ціноутворення, який ще недостатньо досліджений на практиці. Об’єктом дослідження є фрактальні моделі економічних процесів – моделювання фінансових процесів,що описуютьс

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Doshi, Ankit. "Seasonal volatility models with applications in option pricing." Gowas Publishing House, 2011. http://hdl.handle.net/1993/8889.

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GARCH models have been widely used in finance to model volatility ever since the introduction of the ARCH model and its extension to the generalized ARCH (GARCH) model. Lately, there has been growing interest in modelling seasonal volatility, most recently with the introduction of the multiplicative seasonal GARCH models. As an application of the multiplicative seasonal GARCH model with real data, call prices from the major stock market index of India are calculated using estimated parameter values. It is shown that a multiplicative seasonal GARCH option pricing model outperforms the Black-

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Au, Chi Yan. "Numerical methods for solving Markov chain driven Black-Scholes model." HKBU Institutional Repository, 2010. http://repository.hkbu.edu.hk/etd_ra/1154.

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Прозур, Віталій Олександрович. "Максимізація прибутковості фінансового інструмента шляхом знаходження оптимального моменту зупинки". Master's thesis, КПІ ім. Ігоря Сікорського, 2020. https://ela.kpi.ua/handle/123456789/40437.

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Магістерська дисертація: 86 с., 23 табл., 18 рис., 40 джерел. Об’єкт дослідження – дохідність ринкових опціонів. Предметом дослідження є фінансові інструменти, та задачі пошуку моме- нту зупинки. Актуальність дисертації полягає в тому що на даний момент фінансовий ринок в Україні все ще розвивається. Опціони нині ще не стали широко викори- стовуватись, проте їм знаходять застосування у всьому світі та й з формуванням фінансового ринку вони стануть часто вживаними. Завданням є розгляд різних ринкових моделей та пошук моментів зупинки в які власник опціонів американського типу

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Lee, Chi-ming Simon. "A study of Hong Kong foreign exchange warrants pricing using black-scholes formula /." [Hong Kong] : University of Hong Kong, 1992. http://sunzi.lib.hku.hk/hkuto/record.jsp?B13302838.

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周煒強 and Wai-keung Chow. "The pricing of Hong Kong wattants: an empirical study of the performance of the Kassouf, Black-Scholes andconstant elasticity variance option pricing models." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1993. http://hub.hku.hk/bib/B31977297.

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Ribeiro, André Manuel da Silva. "Option pricing and optimal trading strategies for holding firms." Master's thesis, Instituto Superior de Economia e Gestão, 2010. http://hdl.handle.net/10400.5/2445.

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Mestrado em Matemática Financeira<br>In the corporate sector it is frequent to observe firms acquiring equity stakes in other firms. This phenomenon has an impact on the observed correlation between the return of the stocks of the two firms and on the suitable stochastic model to describe the behavior of the return of the holding company, which may not be described by a normal distribution anymore. This work aims to explore the implications of this fact on option pricing valuation and in the execution of optimal trading strategies. Concerning option pricing valuation, several methodologies, us

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De, Ponte Candice Natasha. "Pricing barrier options with numerical methods / Candice Natasha de Ponte." Thesis, North-West University, 2013. http://hdl.handle.net/10394/8672.

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Barrier options are becoming more popular, mainly due to the reduced cost to hold a barrier option when compared to holding a standard call/put options, but exotic options are difficult to price since the payoff functions depend on the whole path of the underlying process, rather than on its value at a specific time instant. It is a path dependent option, which implies that the payoff depends on the path followed by the price of the underlying asset, meaning that barrier options prices are especially sensitive to volatility. For basic exchange traded options, analytical prices, based on the Bl

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Dyakopu, Neliswa B. "Discrete time methods of pricing Asian options." Thesis, University of Western Cape, 2014. http://hdl.handle.net/11394/3341.

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>Magister Scientiae - MSc<br>This dissertation studies the computation methods of pricing of Asian options. Asian options are options in which the underlying variable is the average price over a period of time. Because of this, Asian options have a lower volatility and this render them cheaper relative to their European counterparts. Asian options belong to the so-called path-dependent derivatives; they are among the most difficult to price and hedge both analytically and numerically. In practice, it is only discrete Asian options that are traded, however continuous Asian options are used for

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Chow, Wai-keung. "The pricing of Hong Kong wattants : an empirical study of the performance of the Kassouf, Black-Scholes and constant elasticity variance option pricing models /." [Hong Kong] : University of Hong Kong, 1993. http://sunzi.lib.hku.hk/hkuto/record.jsp?B13787184.

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Nilsson, Martin, and Gustaf Kristiansson. "Options Based on CO2 Emissions : A Comparison with Traditional Options." Thesis, Högskolan i Halmstad, Sektionen för ekonomi och teknik (SET), 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-3615.

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Abstract Title: Options Based on CO2 Emissions: A Comparison with Traditional Options Seminar date: 2009-06-17 Course: Bachelor thesis in business administration, 15 ECTS Authors: Gustaf Kristiansson, Martin Nilsson Instructor: Bengt Kjellgren Key words: Black & Scholes, Certified Emission Reductions, emission markets, European Union Allowances, options, pricing Purpose: This study intends to compare traditional options with the CO2 based instruments EUAs and CERs options in the fields of pricing, cap and trade, political influence, economical effects and market function. Methodology: A co

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Huhta, T. (Tommi). "Performance of the Black-Scholes option pricing model:empirical evidence on S&P 500 call options in 2014." Master's thesis, University of Oulu, 2017. http://urn.fi/URN:NBN:fi:oulu-201711083066.

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This paper evaluates performance of the Black-Scholes option pricing model on European call options that are written on U.S. S&P 500 equity index in year 2014. Main purpose is to show empirical evidence about false assumptions contained in the model and complete it by relaxing unconditional restrictions. Analysis consists of investigating biasedness and heteroscedasticity properties by complementing the Black-Scholes model with GARCH(1,1) method based on maximum likelihood estimations. Varying volatility is studied also through implicit volatility surface. Depending on their characteristics,

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Tuček, Jan. "Modelování cen aktiv." Master's thesis, Vysoká škola ekonomická v Praze, 2009. http://www.nusl.cz/ntk/nusl-15544.

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Diploma thesis deals with models of asset pricing. We investigated in detail three classical models: binomial, Black-Scholes and Merton model. These models are widely used to date, although they were first published a few decades ago. It is because they are relatively simple and easy-to-use. The models were originally derived for option pricing however they can be used for the wide range of financial instruments. The theoretical part of the thesis includes an introduction to options and models derivation. The practical part consists of the sensitivity analyst and empirical test of the models.

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