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41	Predicting returns with the Put-Call Ratio Lee Son, Matthew Robert 23 February 2013 (has links) Over 22 billion derivative contracts were traded on different stock exchanges globally during the year 2010 of which almost 50% were futures while the remaining 50% were options. An overall 25% increase in such contracts was registered as compared to those traded in the year 2009 (International Options Market Association (IOMA) Report, 2011).Investors often use a wide array of trading tools, market indicators and market trading strategies to get the best possible returns for the money that was invested. The main objective of this paper is to focus on the use of market sentiment indicators, specifically the Put-Call Ratio (PCR) as a predictor of returns for an investor.The Put-Call Ratio is defined as a ratio of the trading volume of put options to call options. It is called a sentiment indicator because it measures the “feelings” of option traders. Additionally, it has longed been viewed as an indicator of investors’ sentiment in the market (Put-Call Ratio, 2012) and is possibly the most favoured description of market psychology (James, 2011). / Dissertation (MBA)--University of Pretoria, 2012. / Gordon Institute of Business Science (GIBS) / unrestricted UCTD Warrants Single stock futures (ssf) Put options Futures Call options Black scholes model Binomial model Contracts for difference (cfd) Options Put-call ratio (pcr)
42	Numerical Methods for Mathematical Models on Warrant Pricing Londani, Mukhethwa January 2010 (has links) >Magister Scientiae - MSc / 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 motion and an empirical study, Expert System with Applications 36(2) (2009) 3056-3065 where the authors construct equity warrants pricing model under Fractional Brownian motion and deduce the European options pricing formula with a simple method. We study this paper in details in this mini-thesis. We also study some of the mathematical models on warrant pricing using the Black-Scholes framework. The relationship between the price of the warrants and the price of the call accounts for the dilution effect is also studied mathematically. Finally we do some numerical simulations to derive the value of warrants. Warrant pricing Fractional Brownian motion Geometric Brownian motion Black-Scholes model Jump diffusion models Option-pricing model Dilution effects Volatility Mathematical analysis Numerical simulations
43	Hedging Foreign Exchange Exposure in Private Equity Using Financial Derivatives / Hedging av valutaexponering inom private equity med finansiella derivat Kwetczer, Filip, Åkerlind, Carl January 2018 (has links) This thesis sets out to examine if and how private equity funds should hedge foreign exchange exposure. To our knowledge the field of foreign exchange hedging within private equity, from the private equity firms’ point of view, is vastly unexplored scientifically. The subject is important since foreign ex-change risk has a larger impact on private equity returns now than historically due to increased competition, cross-boarder investments and foreign exchange volatility. In order to answer the research question a simulation model is constructed and implemented under different scenarios. Foreign exchange rates are simulated and theoretical private equity funds are investigated and com-pared under different performance measures. The underlying mathematical theory originates from the work of Black and Scholes. The main result of this thesis is that private equity funds cannot achieve a higher internal rate of return on average through hedging of foreign exchange exposure independent of the slope of the foreign exchange forward curve. However, hedging strategies yielding the same mean internal rate of return but performing better in terms of performance measures accounting for volatility of returns have been found. Furthermore, we found that the conclusions are independent of whether the current or forward foreign exchange rate is a better approximation for the future foreign exchange rate. / Uppsatsens syfte är att undersöka om och i sådana fall hur private equity fonder ska hedgea valutaexponering. Ämnet är såvitt vi vet ej tidigare undersökt inom vetenskaplig forskning ur private equity företagens synvinkel. Ämnet är viktigt eftersom valutarisk har fått en större påverkan på private equity företagens avkastning jämfört med hur det har sett ut historiskt på grund av högre konkurrens, mer internationella investeringar samt ökad volatilitet i valutakurser. En simuleringsmodell har konstruerats och implementerats under olika scenarier för att besvara forskningsfrågan. Valutakurser simuleras och teoretiska private equity fonder undersöks samt jämförs utefter olika nyckeltal. Den underliggande matematiska modelleringen härstammar från Black och Scholes forskning. Uppsatsens viktigaste resultat är att private equity fonder inte kan uppnå en högre avkastning genom att hedgea valutaexponering oavsett lutningen av den förväntade valutautvecklingskurvan. Vi har dock funnit att det existerar hedgingstrategier som ger samma avkastning med lägre volatilitet. Vidare är slutsatserna oberoende av om nuvarande eller förväntad framtida valutakurs är den bästa approximationen av den framtida valutakursen. Private Equity Foreign Exchange Exposure Hedging Black-Scholes Model Financial Derivatives Private Equity Valutaexponering Hedging Black-Scholes Modell Finansiella Derivat Computational Mathematics Beräkningsmatematik
44	Stochastic Runge–Kutta Lawson Schemes for European and Asian Call Options Under the Heston Model Kuiper, Nicolas, Westberg, Martin January 2023 (has links) This thesis investigated Stochastic Runge–Kutta Lawson (SRKL) schemes and their application to the Heston model. Two distinct SRKL discretization methods were used to simulate a single asset’s dynamics under the Heston model, notably the Euler–Maruyama and Midpoint schemes. Additionally, standard Monte Carlo and variance reduction techniques were implemented. European and Asian option prices were estimated and compared with a benchmark value regarding accuracy, effectiveness, and computational complexity. Findings showed that the SRKL Euler–Maruyama schemes exhibited promise in enhancing the price for simple and path-dependent options. Consequently, integrating SRKL numerical methods into option valuation provides notable advantages by addressing challenges posed by the Heston model’s SDEs. Given the limited scope of this research topic, it is imperative to conduct further studies to understand the use of SRKL schemes within other models. Mathematics Matematik
45	Accounting for employee share options : a critical analysis Sacho, Zwi Yosef 30 November 2003 (has links) The main goal of this dissertation was to obtain an understanding as to the true economic nature of employee share options and the problems surrounding the accounting thereof. The main conclusion of this study is that employee share options should be expensed in the income statement as and when the employee's services are performed. The reason is that employee share options are valuable financial instruments which the employer has used to compensate the employee for his services. It was also concluded that exercise date accounting and classification of outstanding employee share options as liabilities on the balance sheet is the most appropriate accounting treatment. Such accounting treatment trues up the accounting of employee share options with that of cash-settled share appreciation rights, which are economically equivalent transactions. The measurement of employee share options should be based on their fair value using an option-pricing model adapted for the specific features of employee share options. / Accounting / Thesis (M. Com. (Accounting Science)) Employee share options Option-pricing models Black-Scholes model Cox-Ross-Rubenstein binomial model Agency problem Moral hazard Equity-based compensation Vesting conditions Liabilities Financial instrument Employee stock options Accounting
46	Stochastické modely ve finanční matematice / Stochastic Models in Financial Mathematics Waczulík, Oliver January 2016 (has links) Title: Stochastic Models in Financial Mathematics Author: Bc. Oliver Waczulík Department: Department of Probability and Mathematical Statistics Supervisor: doc. RNDr. Jan Hurt, CSc., Department of Probability and Mathe- matical Statistics Abstract: This thesis looks into the problems of ordinary stochastic models used in financial mathematics, which are often influenced by unrealistic assumptions of Brownian motion. The thesis deals with and suggests more sophisticated alternatives to Brownian motion models. By applying the fractional Brownian motion we derive a modification of the Black-Scholes pricing formula for a mixed fractional Bro- wnian motion. We use Lévy processes to introduce subordinated stable process of Ornstein-Uhlenbeck type serving for modeling interest rates. We present the calibration procedures for these models along with a simulation study for estima- tion of Hurst parameter. To illustrate the practical use of the models introduced in the paper we have used real financial data and custom procedures program- med in the system Wolfram Mathematica. We have achieved almost 90% decline in the value of Kolmogorov-Smirnov statistics by the application of subordinated stable process of Ornstein-Uhlenbeck type for the historical values of the monthly PRIBOR (Prague Interbank Offered Rate) rates in...
47	Accounting for employee share options : a critical analysis Sacho, Zwi Yosef 30 November 2003 (has links) The main goal of this dissertation was to obtain an understanding as to the true economic nature of employee share options and the problems surrounding the accounting thereof. The main conclusion of this study is that employee share options should be expensed in the income statement as and when the employee's services are performed. The reason is that employee share options are valuable financial instruments which the employer has used to compensate the employee for his services. It was also concluded that exercise date accounting and classification of outstanding employee share options as liabilities on the balance sheet is the most appropriate accounting treatment. Such accounting treatment trues up the accounting of employee share options with that of cash-settled share appreciation rights, which are economically equivalent transactions. The measurement of employee share options should be based on their fair value using an option-pricing model adapted for the specific features of employee share options. / Accounting / Thesis (M. Com. (Accounting Science)) Employee share options Option-pricing models Black-Scholes model Cox-Ross-Rubenstein binomial model Agency problem Moral hazard Equity-based compensation Vesting conditions Liabilities Financial instrument Employee stock options Accounting
48	Oceňování opcí a variance gama proces / Option Pricing and Variance Gamma Process Moravec, Radek January 2010 (has links) 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.
49	Pricing a basket option when volatility is capped using affinejump-diffusion models Krebs, Daniel January 2013 (has links) 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 maximum level, denoted as the Volatility-Cap-Target-Level (VCTL). This is attained by a variable allocation between the risky asset and the non-risky asset during the maturity of the VCTL-option. The allocation is reviewed and if necessary adjusted every 15th day. Adjustment depends entirely upon the realized historical volatility of the risky asset. Moreover, it is assumed that the risky asset is governed by a certain group of stochastic differential equations called affine jump-diffusion models. All models will be calibrated using out-of-the money European call options based on the Deutsche-Aktien-Index(DAX). The numerical implementation of the portfolio diffusions and the use of Monte Carlo methods will result in different VCTL-option prices. Thus, to price a nonstandard product and to comply with good risk management, it is advocated that the financial institution use several research models such as the SVSJ- and the Seppmodel in addition to the Black-Scholes model. Keywords: Exotic option, basket option, risk management, greeks, affine jumpdiffusions, the Black-Scholes model, the Heston model, Bates model with lognormal jumps, the Bates model with log-asymmetric double exponential jumps, the Stochastic-Volatility-Simultaneous-Jumps(SVSJ)-model, the Sepp-model. Exotic option basket option risk management greeks affine jumpdiffusions the Black-Scholes model the Heston model Bates model with lognormal jumps the Sepp-model Probability Theory and Statistics Sannolikhetsteori och statistik
50	Studies on two specific inverse problems from imaging and finance Rückert, Nadja 20 July 2012 (has links) (PDF) This thesis deals with regularization parameter selection methods in the context of Tikhonov-type regularization with Poisson distributed data, in particular the reconstruction of images, as well as with the identiﬁcation of the volatility surface from observed option prices. In Part I we examine the choice of the regularization parameter when reconstructing an image, which is disturbed by Poisson noise, with Tikhonov-type regularization. This type of regularization is a generalization of the classical Tikhonov regularization in the Banach space setting and often called variational regularization. After a general consideration of Tikhonov-type regularization for data corrupted by Poisson noise, we examine the methods for choosing the regularization parameter numerically on the basis of two test images and real PET data. In Part II we consider the estimation of the volatility function from observed call option prices with the explicit formula which has been derived by Dupire using the Black-Scholes partial diﬀerential equation. The option prices are only available as discrete noisy observations so that the main diﬃculty is the ill-posedness of the numerical diﬀerentiation. Finite diﬀerence schemes, as regularization by discretization of the inverse and ill-posed problem, do not overcome these diﬃculties when they are used to evaluate the partial derivatives. Therefore we construct an alternative algorithm based on the weak formulation of the dual Black-Scholes partial diﬀerential equation and evaluate the performance of the ﬁnite diﬀerence schemes and the new algorithm for synthetic and real option prices. Tikhonov-Regularisierung Kullback-Leibler Totale Variation Poissonverteilte Daten Bildverarbeitung Wahl des Regularisierungsparameters Diskrepanzprinzip L-Kurve Quasi-Optimalitätskriterium PET Black-Scholes-Modell Volatilität Dupire Call-Option Regularisierung durch Diskretisierung Parameter Identifikationsalgorithmus Tikhonov-Regularization Kullback-Leibler Total Variation Poisson distributed data discrepancy principle L-curve method quasi-optimality criterion PET Black-Scholes model volatility Dupire call option regularization by discretization imaging finance ddc:515 ddc:519 Tichonov-Regularisierung Black-Scholes-Modell Volatilität Regularisierungsverfahren Poisson-Verteilung Bildverarbeitung Call-Option Parameter <Mathematik>

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