Download or read book The Early Exercise Premium in American Put Option Prices written by Malin Engstrom and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This study estimates the value of the early exercise premium in American put option prices using Swedish equity options data. The value of the premium is found as the deviation of the American put price from European put-call parity, and in addition a theoretical estimate of the premium is computed. The empirically found premium is also used in a modified version of the control variate approach to value American puts. The results indicate a substantial value of the early exercise premium, where the premium derived from put-call parity is higher than the theoretical premium. The premium also increases with moneyness and time left to expiration, while the effect of interest rate and volatility depends on the moneyness of the option. The modified control variate technique works reasonably well relative the theoretical models. In particular, for deep in-the-money options, this technique is superior.

Download or read book The Early Exercise Premium in American Option Prices written by Lindsey McMurray and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The London stock options market trades both European and American style options on the same underlying asset--the FT- SE 100 stock index. This paper exploits this special feature to provide direct empirical evidence on the value of early exercise in American option prices. Significant early exercise premium is found in both calls and puts. The premium is significantly higher than that predicted analytically by the binomial option valuation model. The magnitude of this premium for in-the-money options is also considerably higher than that documented for the U.S. market on the basis of an imperfect proxy. Consistent with theoretical expectations, the premium of calls increases with the degree to which the option is in the money and with the dividends on the last ex-dividend date before option maturity; and the premium for puts is positively related to the degree to which the option is in the money and to the time to maturity, and negatively related to the dividends on the last ex-dividend date prior to expiration. The early exercise premium for calls is sometimes economically significant even when there is no possibility of dividends before maturity. At the same time, the American option often trades at a discount to its European counterpart greater in magnitude than the median bid-ask spread, though this does not necessarily signal economically significant pricing inefficiency.

Download or read book Estimating the Early Exercise Premium of American Put Index Options written by Ako Doffou and published by . This book was released on 2019 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper examines empirically the value of early exercise by testing the ability of two American put valuation models to predict the early exercise premium for the S&P 100 American put options. An accuracy test and a quality test are performed on (1) the MacMillan, Barone-Adesi and Whaley model, and (2) the Carr, Jarrow and Myneni model. The test results show that early exercise premium is significant regardless of moneyness. Moreover, consistent with the theory, the value of early exercise is significantly negatively related to moneyness and interest rates and significantly positively related to time to maturity and to the volatility of the underlying index. Both American put valuation models examined do not fully capture the value of early exercise embedded in American put prices.

Download or read book American Index Put Options Early Exercise Premium Estimation written by Ako Doffou and published by . This book was released on 2008 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper examines empirically the value of early exercise by testing the ability of two American put valuation models to predict the early exercise premium for the Samp;P 100 American put options. An accuracy test and a quality test are performed on (1) the MacMillan (1986) amp; Barone-Adesi and Whaley (1987) model, and (2) the Carr, Jarrow and Myneni(1992) model. The test results show that early exercise premium is significant regardless of moneyness. Moreover, consistent with the theory, the value of early exercise is significantly negatively related to moneyness and interest rates and significantly positively related to time to maturity and to the volatility of the underlying index. Both American put valuation models examined do not fully capture the value of early exercise embedded in American put prices.

Download or read book European Put Call Parity and the Early Exercise Premium for American Currency Options written by Geoffrey Poitras and published by . This book was released on 2016 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The European put-call parity condition is used to estimate the early exercise premium for American currency options traded on the Philadelphia Stock Exchange. Using a sample of 331 pairs of call and put options with the same exercise price and time to expiration, evidence is provided for early exercise premiums that average 5.03% for put options and 4.60% for call options. The premiums for both call and put options are strongly related to the interest rate differential and time to expiration. These results have implications for the use of European option pricing models in the valuation of American options.

Download or read book Hints for an Extension of the Early Exercise Premium Formula for American Options written by Hans-Peter Bermin and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The characterization of the American put option price is still an open issue. From the beginning of the nineties there exists a non-closed formula for this price but nontrivial numerical computations are required to solve it. Strong efforts have been made to propose computational efficient methods but few of them have strong mathematical reasoning to ascertain why these methods work well and how important it is to consider a good approximation to the boundary or to the smooth pasting condition. We present an extension of the American put price aiming to catch weaknesses of the numerical methods given in the literature.

Download or read book American Put Options written by Donna Salopek and published by CRC Press. This book was released on 1997-03-15 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: An American put option gives its owner the right to sell a share of stock at a given specified price on or before a given date. This book provides a detailed comparison of recent works on the American put option from both theoretical and computational approaches.

Download or read book The Numerical Solution of the American Option Pricing Problem written by Carl Chiarella and published by World Scientific. This book was released on 2014-10-14 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The early exercise opportunity of an American option makes it challenging to price and an array of approaches have been proposed in the vast literature on this topic. In The Numerical Solution of the American Option Pricing Problem, Carl Chiarella, Boda Kang and Gunter Meyer focus on two numerical approaches that have proved useful for finding all prices, hedge ratios and early exercise boundaries of an American option. One is a finite difference approach which is based on the numerical solution of the partial differential equations with the free boundary problem arising in American option pricing, including the method of lines, the component wise splitting and the finite difference with PSOR. The other approach is the integral transform approach which includes Fourier or Fourier Cosine transforms. Written in a concise and systematic manner, Chiarella, Kang and Meyer explain and demonstrate the advantages and limitations of each of them based on their and their co-workers'' experiences with these approaches over the years. Contents: Introduction; The Merton and Heston Model for a Call; American Call Options under Jump-Diffusion Processes; American Option Prices under Stochastic Volatility and Jump-Diffusion Dynamics OCo The Transform Approach; Representation and Numerical Approximation of American Option Prices under Heston; Fourier Cosine Expansion Approach; A Numerical Approach to Pricing American Call Options under SVJD; Conclusion; Bibliography; Index; About the Authors. Readership: Post-graduates/ Researchers in finance and applied mathematics with interest in numerical methods for American option pricing; mathematicians/physicists doing applied research in option pricing. Key Features: Complete discussion of different numerical methods for American options; Able to handle stochastic volatility and/or jump diffusion dynamics; Able to produce hedge ratios efficiently and accurately"

Download or read book Probabilities and Values of Early Exercise written by James N. Bodurtha and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This article analyzes fundamental differences between American spot and futures options. These options differ in their early exercise probabilities and values, and in option buyers' exercise behavior. We find two key results: one theoretical and one empirical. First, unlike spot options, some futures options' early exercise probabilities and values do not correspond. Specifically, increased volatility raises the early exercise premium for in-the-money futures calls, but lowers the associated early exercise probability. Similarly, increasing the domestic interest rate raises the futures put early exercise premium, while lowering the associated early exercise probability. Second, observed early exercise experience of Philadelphia Stock Exchange spot options and Chicago Mercantile Exchange futures options is consistent with optimal early exercise behavior prescribed by a standard American option pricing model. Both types of option exercise events occur at or near the modeled early exercise boundaries.

Download or read book Numerical Solution Of The American Option Pricing Problem The Finite Difference And Transform Approaches written by Carl Chiarella and published by World Scientific. This book was released on 2014-10-14 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The early exercise opportunity of an American option makes it challenging to price and an array of approaches have been proposed in the vast literature on this topic. In The Numerical Solution of the American Option Pricing Problem, Carl Chiarella, Boda Kang and Gunter Meyer focus on two numerical approaches that have proved useful for finding all prices, hedge ratios and early exercise boundaries of an American option. One is a finite difference approach which is based on the numerical solution of the partial differential equations with the free boundary problem arising in American option pricing, including the method of lines, the component wise splitting and the finite difference with PSOR. The other approach is the integral transform approach which includes Fourier or Fourier Cosine transforms. Written in a concise and systematic manner, Chiarella, Kang and Meyer explain and demonstrate the advantages and limitations of each of them based on their and their co-workers' experiences with these approaches over the years.

Download or read book American Put Index Options Early Exercise Premium Estimation written by Ako Doffou and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper examines empirically the value of early exercise by testing the ability of two American put valuation models to predict the early exercise premium for the S&P100 American put options. An accuracy test and a quality test are performed on (1) the MacMillan (1986) & Barone-Adesi and Whaley (1987) model, and (2) the Carr, Jarrow and Myneni (1992) model. The test results show that early exercise premium is significant regardless of moneyness. Moreover, consistent with the theory, the value of early exercise is significantly negatively related to moneyness and interest rates and significantly positively related to time to maturity and to the volatility of the underlying index. Both American put valuation models examined misprice the early exercise premium embedded in American put prices.

Download or read book Understanding Options written by Rob Quail and published by John Wiley & Sons. This book was released on 1995-02-28 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: It's not hard to understand why options trading continues to growin popularity, especially among sophisticated investors with largestock portfolios. Options are a cheaper and therefore, inherentlyless risky way of speculating on the price movements of stocks orother under-lying goods, yet, due to their volatility, they providemore price action per dollar than do stocks. And, when traded inconjunction with stock portfolios, options can significantlyenhance an investor's ability to manipulate the risk and returncharacteristics of their entire investment. Yet, despite these andother advantages of options, many investors shy away from thishighly lucrative type of speculation because of the seemingimpenetrability of many of its underlying concepts and technicalprinciples. Now in a book that demystifies options for financial professionals,Professor Robert W. Kolb, one of the nation's leading authoritieson the subject, provides readers with a solid grounding in theprinciples and practices of options trading. An excellent resourcefor investors who need to quickly get up to speed in options,Understanding Options offers a balanced presentation that buildsswiftly from the most basic concepts and terms to advanced tradingstrategies and techniques. Written in plain English and filled withreal-life examples and case studies, it schools readers in: * All essential terms, concepts, principles, and practices * Popular trading techniques and their payoffs * Option strategies * Option hedging * Formal trading models, including the Binomial and Merton models * Options on stock indexes, foreign currency, and futures * Option pricing in both the American and European markets * The options approach to corporate securities * And much more Concise yet comprehensive, authoritative yet highly accessible,Understanding Options gives you everything you need to feel rightat home in the lucrative world of options. Comprehensive, practical, authoritative--the fastest, mostaccessible route to the lucrative world of options From the basics of what an option is to advanced techniques forprofiting from options in a variety of markets, UnderstandingOptions covers all the bases. Written by a leading internationalauthority on options trading, this practical, hands-on guide offersdetailed, step-by-step coverage of option trading techniques andtheir payoffs, option strategies, European and American optionpricing, option hedging, and much more. It also explores options onstock indexes, foreign currency, and futures, and takes a closelook at the options approach to corporate securities. A concise, yet comprehensive, introduction to options for financialprofessionals * Gets you quickly up and running with all the essential knowledgeyou need to break into the options markets * Featuring a balanced presentation that moves swiftly from basicterms and concepts to advanced trading models * Packed with easy-to-follow examples and case studies that lucidlyillustrate all points covered

Download or read book Mathematical Models of Financial Derivatives written by Yue-Kuen Kwok and published by Springer Science & Business Media. This book was released on 2008-07-10 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition, now featuring new material, focuses on the valuation principles that are common to most derivative securities. A wide range of financial derivatives commonly traded in the equity and fixed income markets are analysed, emphasising aspects of pricing, hedging and practical usage. This second edition features additional emphasis on the discussion of Ito calculus and Girsanovs Theorem, and the risk-neutral measure and equivalent martingale pricing approach. A new chapter on credit risk models and pricing of credit derivatives has been added. Up-to-date research results are provided by many useful exercises.

Download or read book Put Call Parity and the Early Exercise Premium for Currency Options written by Chris Veld and published by . This book was released on 2005 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Put-call parity is used to study the early exercise premium for currency options traded on the Philadelphia Stock Exchange. Using 564 pairs of call and put options evidence is provided that the early exercise premia is on average 5.71% for put options and 6.88% for call options. The premiums for both call and put options are strongly related to time to maturity and the interest rate differential. These results are important when using a European option pricing model for the valuation of American options.

Download or read book Valuation Empirical Analysis and Optimal Exercise of Open End Turbo Certificates written by Sebastian Paik and published by University of Bamberg Press. This book was released on 2014 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Modeling and Methods of Option Pricing written by Lishang Jiang and published by World Scientific. This book was released on 2005 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the perspective of partial differential equations (PDE), this book introduces the Black-Scholes-Merton's option pricing theory. A unified approach is used to model various types of option pricing as PDE problems, to derive pricing formulas as their solutions, and to design efficient algorithms from the numerical calculation of PDEs.

Download or read book Risk Management Speculation and Derivative Securities written by Geoffrey Poitras and published by Elsevier. This book was released on 2002-07-12 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: Its unified treatment of derivative security applications to both risk management and speculative trading separates this book from others. Presenting an integrated explanation of speculative trading and risk management from the practitioner's point of view, Risk Management, Speculation, and Derivative Securities is the only standard text on financial risk management that departs from the perspective of an agent whose main concerns are pricing and hedging derivatives. After offering a general framework for risk management and speculation using derivative securities, it explores specific applications to forward contracts and options. Not intended as a comprehensive introduction to derivative securities, Risk Management, Speculation, and Derivative Securities is the innovative, useful approach that addresses new developments in derivatives and risk management. *The only standard text on financial risk management that departs from the perspective of an agent whose main concerns are pricing and hedging derivatives*Examines speculative trading and risk management from the practitioner's point of view*Provides an innovative, useful approach that addresses new developments in derivatives and risk management