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Theory Of Rational Option Pricing
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Book Synopsis Theory of Rational Option Pricing by : Robert C Merton
Download or read book Theory of Rational Option Pricing written by Robert C Merton and published by Legare Street Press. This book was released on 2022-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis Theory of Rational Option Pricing by : Bruce D. Grundy
Download or read book Theory of Rational Option Pricing written by Bruce D. Grundy and published by . This book was released on 1995 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Rational Option Pricing by : Bruce D. Grundy
Download or read book Theory of Rational Option Pricing written by Bruce D. Grundy and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The bulk of the option pricing properties established in Merton's Classic Theory when the option price is homogeneous of degree one in the underlying's value and the exercise price, are shown to extend to any Markovian diffusion world. The most important result is that calls are increasing convex functions of the value of the underlying. Still, some caveats are in order: Although an upward shift in the term structure of interest rates will increase a call's value, a decline in the present value of the exercise price can be associated with a decline in the call price; and a call's elasticity need not be everywhere increasing with the passage of time, or everywhere decreasing in the level of the stock price. As a direct implication of convexity, we are able to undertake a comparative static analysis of the effects of shifts in the term structure, in dividend policy, and in the underlying asset's instantaneous volatility function. We provide a new bound on the relative values of calls on otherwise equivalent dividend- and non-dividend- paying assets. With respect to volatility, we present two fascinating results. First, an equivalence between (i) a comparison of two different functional forms for the relation between instantaneous volatility and the contemporaneous stock price and time and (ii) increasing risk in the Rothschild-Stiglitz sense. Second, when the instantaneous volatility is bounded above (below), the call price is bounded above (below) by its Black-Scholes value evaluated at the bounding volatility level, and we can place upper and lower bounds on the stock positions necessary to hedge a given option position. We also show that if we relax either the continuity assumption or the Markovian assumption, then call options can be 'bloating' (not 'wasting') assets, whose value over some range is a decreasing, concave function of the value of the underlying. We argue that when considering the valuation of long-dated options on the stock of a firm, it is both intuitive and correct to view the dynamics of the underlying stock price as Non-Markovian.
Book Synopsis Contingency Approaches to Corporate Finance by : Dan Galai
Download or read book Contingency Approaches to Corporate Finance written by Dan Galai and published by World Scientific Publishing Company. This book was released on 2019-01-30 with total page 2036 pages. Available in PDF, EPUB and Kindle. Book excerpt: Black and Scholes (1973) and Merton (1974) (hereafter referred to as BSM) introduced the contingent claim approach (CCA) to the valuation of corporate debt and equity. The BSM modeling framework is also named the 'structural' approach to risky debt valuation. The CCA approach considers all stakeholders of the corporation as holding contingent claims on the assets of the corporation. Each claim holder has different priorities, maturities and conditions for payouts. It is based on the principle that all the assets belong to all the liability holders.In the structural approach the arrival of the default event relies on economic arguments for why firms default as it is explicitly related to the dynamics of the economic value of the firm. A standard structural model of default timing assumes that a corporation defaults when its assets drop to a sufficiently low level relative to its liabilities.The BSM modeling framework gives the basic fundamental version of the structural model where default is assumed to occur when the net asset value of the firm at the maturity of the pure-discount debt becomes negative, i.e., market value of the assets of the firm falls below the market value of the firm's liabilities. In a regime of limited liability, the shareholders of the firm have the option to default on the firm's debt. Equity can be viewed as a European call option on the firm's assets with a strike price equal to the face value of the firm's debt. Actually, CCA can be used to value all the components of the firm's liabilities. Option pricing models are used to value stocks, bonds, and many other types of corporate claims.Different versions of the model correspond to different assumptions about the conditions when a firm defaults. Merton (1974) assumes that the firm only defaults at the maturity date of the firm's outstanding debt when the net asset value of the firm, in market value terms, is negative. Others introduce other conditions for default. Also, different authors introduce more complicated capital structure with different kinds of bonds (e.g. senior and junior), warrants, corporate taxes, ESOP, and more. Volume 1: Foundations of CCA and Equity ValuationVolume 1 presents the seminal papers of Black and Scholes (1973) and Merton (1973, 1974). This volume also includes papers that specifically price equity as a call option on the corporation. It introduces warrants, convertible bonds and taxation as contingent claims on the corporation. It highlights the strong relationship between the CCA and the Modigliani-Miller (M&M) Theorems, and the relation to the Capital Assets Pricing Model (CAPM). Volume 2: CCA Approach to Corporate Debt ValuationVolume 2 concentrates on corporate bond valuation by introducing various types of bonds with different covenants as well as introducing various conditions that trigger default. While empirical evidence indicates that the simple Merton's model underestimates the credit spreads, additional risk factors like jumps can be used to resolve it. Volume 3: Issues in Corporate Finance with CCA ApproachVolume 3 includes papers that look at issues in corporate finance that can be explained with the CCA approach. These issues include the effect of dividend policy on the valuation of debt and equity, the pricing of employee stock options and many other issues of corporate governance. Volume 4: CCA Approach to Banking and Financial IntermediationVolume 4 focuses on the application of the contingent claim approach to banks and other financial intermediaries. Regulation of the banking industry led to the creation of new financial securities (e.g., CoCos) and new types of stakeholders (e.g., deposit insurers).
Book Synopsis Theory of Rational Option Pricing - Primary Source Edition by : Robert C. Merton
Download or read book Theory of Rational Option Pricing - Primary Source Edition written by Robert C. Merton and published by Nabu Press. This book was released on 2013-10 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Book Synopsis Option Pricing: Real and Risk-Neutral Distributions by : George M. Constantinides
Download or read book Option Pricing: Real and Risk-Neutral Distributions written by George M. Constantinides and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Option Pricing Theory by : Gopinath Kallianpur
Download or read book Introduction to Option Pricing Theory written by Gopinath Kallianpur and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the appearance of seminal works by R. Merton, and F. Black and M. Scholes, stochastic processes have assumed an increasingly important role in the development of the mathematical theory of finance. This work examines, in some detail, that part of stochastic finance pertaining to option pricing theory. Thus the exposition is confined to areas of stochastic finance that are relevant to the theory, omitting such topics as futures and term-structure. This self-contained work begins with five introductory chapters on stochastic analysis, making it accessible to readers with little or no prior knowledge of stochastic processes or stochastic analysis. These chapters cover the essentials of Ito's theory of stochastic integration, integration with respect to semimartingales, Girsanov's Theorem, and a brief introduction to stochastic differential equations. Subsequent chapters treat more specialized topics, including option pricing in discrete time, continuous time trading, arbitrage, complete markets, European options (Black and Scholes Theory), American options, Russian options, discrete approximations, and asset pricing with stochastic volatility. In several chapters, new results are presented. A unique feature of the book is its emphasis on arbitrage, in particular, the relationship between arbitrage and equivalent martingale measures (EMM), and the derivation of necessary and sufficient conditions for no arbitrage (NA). {\it Introduction to Option Pricing Theory} is intended for students and researchers in statistics, applied mathematics, business, or economics, who have a background in measure theory and have completed probability theory at the intermediate level. The work lends itself to self-study, as well as to a one-semester course at the graduate level.
Book Synopsis Option Pricing by : Menachem Brenner
Download or read book Option Pricing written by Menachem Brenner and published by Free Press. This book was released on 1983 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Non-identically Rational Option Pricing and Its Application by : 賴盟坤
Download or read book Non-identically Rational Option Pricing and Its Application written by 賴盟坤 and published by . This book was released on 2007 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Option Pricing Theory by : G. Kallianpur
Download or read book Introduction to Option Pricing Theory written by G. Kallianpur and published by . This book was released on 2000 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Since the appearance of seminal works by R. Merton, and F. Black and M. Scholes, stochastic processes have assumed an increasingly important role in the development of the mathematical theory of finance. This work examines, in some detail, that part of stochastic finance pertaining to option pricing theory. Thus the exposition is confined to areas of stochastic finance that are relevant to the theory, omitting such topics as futures and term-structure." "Introduction to Option Pricing Theory is intended for students and researchers in statistics, applied mathematics, business, or economics, who have a background in measure theory and have completed probability theory at the intermediate level. The work lends itself to self-study, as well as to a one-semester course at the graduate level."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved
Book Synopsis Vinzenz Bronzin's Option Pricing Models by : Wolfgang Hafner
Download or read book Vinzenz Bronzin's Option Pricing Models written by Wolfgang Hafner and published by Springer Science & Business Media. This book was released on 2009-11-18 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1908, Vinzenz Bronzin, a professor of mathematics at the Accademia di Commercio e Nautica in Trieste, published a booklet in German entitled Theorie der Prämiengeschäfte (Theory of Premium Contracts) which is an old type of option contract. Almost like Bachelier’s now famous dissertation (1900), the work seems to have been forgotten shortly after it was published. However, almost every element of modern option pricing can be found in Bronzin’s book. He derives option prices for an illustrative set of distributions, including the Normal. - This volume includes a reprint of the original German text, a translation, as well as an appreciation of Bronzin's work from various perspectives (economics, history of finance, sociology, economic history) including some details about the professional life and circumstances of the author. The book brings Bronzin's early work to light again and adds an almost forgotten piece of research to the theory of option pricing.
Book Synopsis Mathematical Modeling And Methods Of Option Pricing by : Lishang Jiang
Download or read book Mathematical Modeling And Methods Of Option Pricing written by Lishang Jiang and published by World Scientific Publishing Company. This book was released on 2005-07-18 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the unique perspective of partial differential equations (PDE), this self-contained book presents a systematic, advanced introduction to 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. In particular, the qualitative and quantitative analysis of American option pricing is treated based on free boundary problems, and the implied volatility as an inverse problem is solved in the optimal control framework of parabolic equations.
Author :Alexander D. Kolesnik Publisher :Springer Science & Business Media ISBN 13 :3642405266 Total Pages :138 pages Book Rating :4.6/5 (424 download)
Book Synopsis Telegraph Processes and Option Pricing by : Alexander D. Kolesnik
Download or read book Telegraph Processes and Option Pricing written by Alexander D. Kolesnik and published by Springer Science & Business Media. This book was released on 2013-10-18 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: The telegraph process is a useful mathematical model for describing the stochastic motion of a particle that moves with finite speed on the real line and alternates between two possible directions of motion at random time instants. That is why it can be considered as the finite-velocity counterpart of the classical Einstein-Smoluchowski's model of the Brownian motion in which the infinite speed of motion and the infinite intensity of the alternating directions are assumed. The book will be interesting to specialists in the area of diffusion processes with finite speed of propagation and in financial modelling. It will also be useful for students and postgraduates who are taking their first steps in these intriguing and attractive fields.
Book Synopsis Rational Theory of International Politics by : Charles L. Glaser
Download or read book Rational Theory of International Politics written by Charles L. Glaser and published by Princeton University Press. This book was released on 2010-04-26 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the realist school of international relations, a prevailing view holds that the anarchic structure of the international system invariably forces the great powers to seek security at one another's expense, dooming even peaceful nations to an unrelenting struggle for power and dominance. Rational Theory of International Politics offers a more nuanced alternative to this view, one that provides answers to the most fundamental and pressing questions of international relations. Why do states sometimes compete and wage war while at other times they cooperate and pursue peace? Does competition reflect pressures generated by the anarchic international system or rather states' own expansionist goals? Are the United States and China on a collision course to war, or is continued coexistence possible? Is peace in the Middle East even feasible? Charles Glaser puts forward a major new theory of international politics that identifies three kinds of variables that influence a state's strategy: the state's motives, specifically whether it is motivated by security concerns or "greed"; material variables, which determine its military capabilities; and information variables, most importantly what the state knows about its adversary's motives. Rational Theory of International Politics demonstrates that variation in motives can be key to the choice of strategy; that the international environment sometimes favors cooperation over competition; and that information variables can be as important as material variables in determining the strategy a state should choose.
Download or read book Rational Pricing written by Fouad Sabry and published by One Billion Knowledgeable. This book was released on 2024-02-04 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is Rational Pricing The assumption that asset prices, and consequently asset pricing models, will represent the arbitrage-free price of the asset is known as rational pricing. This assumption is based on the fact that any departure from this price will be "arbitraged away" throughout the process of rational pricing. In addition to being an essential component in the pricing of derivative instruments, this assumption is helpful in determining the value of fixed income securities, notably bonds. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Rational pricing Chapter 2: Arbitrage Chapter 3: Derivative (finance) Chapter 4: Financial economics Chapter 5: Black-Scholes model Chapter 6: Real options valuation Chapter 7: Forward contract Chapter 8: Binomial options pricing model Chapter 9: Convertible bond Chapter 10: Valuation (finance) Chapter 11: Risk-neutral measure Chapter 12: Swap (finance) Chapter 13: Bond valuation Chapter 14: Arbitrage pricing theory Chapter 15: Fixed income arbitrage Chapter 16: Business valuation Chapter 17: Asset pricing Chapter 18: Lattice model (finance) Chapter 19: Real business-cycle theory Chapter 20: Bootstrapping (finance) Chapter 21: Replicating portfolio (II) Answering the public top questions about rational pricing. (III) Real world examples for the usage of rational pricing in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Rational Pricing.
Book Synopsis Theory of Valuation by : Sudipto Bhattacharya
Download or read book Theory of Valuation written by Sudipto Bhattacharya and published by World Scientific. This book was released on 2005 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of Theory of Valuation is a collection of important papers in the field of theoretical financial economics published from 1973 to 1986, and original accompanying essays contributed by eminent researchers including Robert C Merton, Edward C Prescott, Stephen A Ross, and Joseph E Stiglitz. Since then, with the perspective of major theoretical strides in the field, the book has more than fulfilled its original expectations. The realization that it remains today a compendium of classic articles and a must-read for any serious student in theoretical financial economics, has prompted the publication of a new edition. This second edition presents a summary statement of significant research in theoretical financial economics for both the specialist and non-specialist financial economist. It also provides material for PhD-level courses covering valuation theory, and elective reading for advanced MasterOCOs and undergraduate courses. In addition to reproducing the original contributions, this edition includes the seminal paper by Edward C Prescott and Rajnish Mehra, OC Recursive Competitive Equilibrium: The Case of Homogeneous Households, OCO originally published in Econometrica in 1980."
Book Synopsis An Introduction to Exotic Option Pricing by : Peter Buchen
Download or read book An Introduction to Exotic Option Pricing written by Peter Buchen and published by CRC Press. This book was released on 2012-02-03 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an easy-to-understand, nontechnical yet mathematically elegant manner, An Introduction to Exotic Option Pricing shows how to price exotic options, including complex ones, without performing complicated integrations or formally solving partial differential equations (PDEs). The author incorporates much of his own unpublished work, including ideas
