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Author: Robert C Merton
Publisher: Legare Street Press
ISBN: 9781015784017
Category :
Languages : en
Pages : 0
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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.
Author: Robert C Merton
Publisher: Andesite Press
ISBN: 9781296835927
Category :
Languages : en
Pages : 126
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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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. 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.
Author: Bruce D. Grundy
Publisher:
ISBN:
Category :
Languages : en
Pages : 65
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Author: Bruce D. Grundy
Publisher:
ISBN:
Category :
Languages : en
Pages :
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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.
Author: Dan Galai
Publisher: World Scientific Publishing Company
ISBN: 9789814730723
Category : Corporations
Languages : en
Pages : 2036
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Book Description
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).
Author: Robert C. Merton
Publisher: Nabu Press
ISBN: 9781295058112
Category :
Languages : en
Pages : 126
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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.
Author: George M. Constantinides
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Gopinath Kallianpur
Publisher: Springer Science & Business Media
ISBN: 1461205115
Category : Mathematics
Languages : en
Pages : 266
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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.
Author: Menachem Brenner
Publisher: Free Press
ISBN:
Category : Business & Economics
Languages : en
Pages : 264
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Author: Sudipto Bhattacharya
Publisher: World Scientific
ISBN: 9812701028
Category : Business & Economics
Languages : en
Pages : 387
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Book Description
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."
Author: 賴盟坤
Publisher:
ISBN:
Category :
Languages : en
Pages : 70
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