New Methods for the Arbitrage Pricing Theory and the Present Value Model

New Methods for the Arbitrage Pricing Theory and the Present Value Model

Author: Jianping Mei

Publisher: World Scientific

Published: 1994

Total Pages: 132

ISBN-13: 9789810218393

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This book consists of two essays on new approaches for the Arbitrage Pricing Theory and the Present Value Model, and one essay on cross-sectional correlations in panel data. The new approaches are designed to study a large number of securities over time. They can be employed by security analysts to discover market anomalies without assuming observable factors or constant risk premium. The book shows how these two approaches can be used to determine how many systematic factors affect the U.S. stock market.


The Arbitrage Pricing Theory as an Approach to Capital Asset Valuation

The Arbitrage Pricing Theory as an Approach to Capital Asset Valuation

Author: Christian Koch

Publisher: GRIN Verlag

Published: 2009-02-27

Total Pages: 76

ISBN-13: 364027718X

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Diploma Thesis from the year 1996 in the subject Business economics - Banking, Stock Exchanges, Insurance, Accounting, grade: 1,3, European Business School - International University Schloß Reichartshausen Oestrich-Winkel, language: English, abstract: A “few surprises” could be the trivial answer of the Arbitrage Pricing Theory if asked for the major determinants of stock returns. The APT was developed as a traceable framework of the main principles of capital asset pricing in financial markets. It investigates the causes underlying one of the most important fields in financial economics, namely the relationship between risk and return. The APT provides a thorough understanding of the nature and origins of risk inherent in financial assets and how capital markets reward an investor for bearing risk. Its fundamental intuition is the absence of arbitrage which is, indeed, central to finance and which has been used in virtually all areas of financial study. Since its introduction two decades ago, the APT has been subject to extensive theoretical as well as empirical research. By now, the arbitrage theory is well established in both respects and has enlightened our perception of capital markets. This paper aims to present the APT as an appropriate instrument of capital asset pricing and to link its principles to the valuation of risky income streams. The objective is also to provide an overview of the state of art of APT in the context of alternative capital market theories. For this purpose, Section 2 describes the basic concepts of the traditional asset pricing model, the CAPM, and indicates differences to arbitrage theory. Section 3 constitutes the main part of this paper introducing a derivation of the APT. Emphasis is laid on principles rather than on rigorous proof. The intuition of the pricing formula and its consistency with the state space preference theory are discussed. Important contributions to the APT are classified and briefly reviewed, the question of APT’s empirical evidence and of its risk factors is attempted to be answered. In Section 4, arbitrage theory is linked to traditional as well as to innovative valuation methods. It includes a discussion of the DCF method, arbitrage valuation and previews an option pricing approach to security valuation. Finally, Section 5 concludes the paper with some practical considerations from the investment community.


Rational Pricing

Rational Pricing

Author: Fouad Sabry

Publisher: One Billion Knowledgeable

Published: 2024-02-04

Total Pages: 388

ISBN-13:

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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.


Asset Pricing Theory

Asset Pricing Theory

Author: Costis Skiadas

Publisher: Princeton University Press

Published: 2009-02-09

Total Pages: 363

ISBN-13: 1400830141

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Asset Pricing Theory is an advanced textbook for doctoral students and researchers that offers a modern introduction to the theoretical and methodological foundations of competitive asset pricing. Costis Skiadas develops in depth the fundamentals of arbitrage pricing, mean-variance analysis, equilibrium pricing, and optimal consumption/portfolio choice in discrete settings, but with emphasis on geometric and martingale methods that facilitate an effortless transition to the more advanced continuous-time theory. Among the book's many innovations are its use of recursive utility as the benchmark representation of dynamic preferences, and an associated theory of equilibrium pricing and optimal portfolio choice that goes beyond the existing literature. Asset Pricing Theory is complete with extensive exercises at the end of every chapter and comprehensive mathematical appendixes, making this book a self-contained resource for graduate students and academic researchers, as well as mathematically sophisticated practitioners seeking a deeper understanding of concepts and methods on which practical models are built. Covers in depth the modern theoretical foundations of competitive asset pricing and consumption/portfolio choice Uses recursive utility as the benchmark preference representation in dynamic settings Sets the foundations for advanced modeling using geometric arguments and martingale methodology Features self-contained mathematical appendixes Includes extensive end-of-chapter exercises


Arbitrage Theory

Arbitrage Theory

Author: Jochen E.M. Wilhelm

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 124

ISBN-13: 3642500943

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The present 'Introductory Lectures on Arbitrage-based Financial Asset Pricing' are a first attempt to give a comprehensive presentation of Arbitrage Theory in a discrete time framework (by the way: all the re sults given in these lectures apply to a continuous time framework but, probably, in continuous time we could achieve stronger results - of course at the price of stronger assumptions). It has been turned out in the last few years that capital market theory as derived and evolved from the capital asset pricing model (CAPM) in the middle sixties, can, to an astonishing extent, be based on arbitrage arguments only, rather than on mean-variance preferences of investors. On the other hand, ar bitrage arguments provided access to a wider range of results which could not be obtained by standard CAPM-methods, e. g. the valuation of contingent claims (derivative assets) Dr the_ investigation of futures prices. To some extent the presentation will loosely follow historical lines. A selected set of capital asset pricing models will be derived according to their historical progress and their increasing complexity as well. It will be seen that they all share common structural properties. After having made this observation the presentation will become an axiomatical one: it will be stated in precise terms what arbitrage is about and what the consequences are if markets do not allow for risk-free arbitrage opportunities. The presentation will partly be accompanied by an illus trating example: two-state option pricing.


Market-Consistent Prices

Market-Consistent Prices

Author: Pablo Koch-Medina

Publisher: Springer Nature

Published: 2020-07-16

Total Pages: 448

ISBN-13: 3030397246

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Arbitrage Theory provides the foundation for the pricing of financial derivatives and has become indispensable in both financial theory and financial practice. This textbook offers a rigorous and comprehensive introduction to the mathematics of arbitrage pricing in a discrete-time, finite-state economy in which a finite number of securities are traded. In a first step, various versions of the Fundamental Theorem of Asset Pricing, i.e., characterizations of when a market does not admit arbitrage opportunities, are proved. The book then focuses on incomplete markets where the main concern is to obtain a precise description of the set of “market-consistent” prices for nontraded financial contracts, i.e. the set of prices at which such contracts could be transacted between rational agents. Both European-type and American-type contracts are considered. A distinguishing feature of this book is its emphasis on market-consistent prices and a systematic description of pricing rules, also at intermediate dates. The benefits of this approach are most evident in the treatment of American options, which is novel in terms of both the presentation and the scope, while also presenting new results. The focus on discrete-time, finite-state models makes it possible to cover all relevant topics while requiring only a moderate mathematical background on the part of the reader. The book will appeal to mathematical finance and financial economics students seeking an elementary but rigorous introduction to the subject; mathematics and physics students looking for an opportunity to get acquainted with a modern applied topic; and mathematicians, physicists and quantitatively inclined economists working or planning to work in the financial industry.


Real Estate Valuation Theory

Real Estate Valuation Theory

Author: Ko Wang

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 441

ISBN-13: 1461509092

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Real Estate Valuation Theory is organized around five categories of intellectual contribution to the whole-appraiser decision making and valuation accuracy, application of nontraditional appraisal techniques such as regression and the minimum-variance grid method, appraising contaminated property, ad valorem tax assessment, and new perspectives on traditional appraisal methods. One common thread is that all of the papers are exceptionally well written and thought provoking.


Asset Pricing

Asset Pricing

Author: John H. Cochrane

Publisher: Princeton University Press

Published: 2009-04-11

Total Pages: 560

ISBN-13: 1400829135

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Winner of the prestigious Paul A. Samuelson Award for scholarly writing on lifelong financial security, John Cochrane's Asset Pricing now appears in a revised edition that unifies and brings the science of asset pricing up to date for advanced students and professionals. Cochrane traces the pricing of all assets back to a single idea--price equals expected discounted payoff--that captures the macro-economic risks underlying each security's value. By using a single, stochastic discount factor rather than a separate set of tricks for each asset class, Cochrane builds a unified account of modern asset pricing. He presents applications to stocks, bonds, and options. Each model--consumption based, CAPM, multifactor, term structure, and option pricing--is derived as a different specification of the discounted factor. The discount factor framework also leads to a state-space geometry for mean-variance frontiers and asset pricing models. It puts payoffs in different states of nature on the axes rather than mean and variance of return, leading to a new and conveniently linear geometrical representation of asset pricing ideas. Cochrane approaches empirical work with the Generalized Method of Moments, which studies sample average prices and discounted payoffs to determine whether price does equal expected discounted payoff. He translates between the discount factor, GMM, and state-space language and the beta, mean-variance, and regression language common in empirical work and earlier theory. The book also includes a review of recent empirical work on return predictability, value and other puzzles in the cross section, and equity premium puzzles and their resolution. Written to be a summary for academics and professionals as well as a textbook, this book condenses and advances recent scholarship in financial economics.