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Author: Jun Deng
Publisher:
ISBN:
Category : Arbitrage
Languages : en
Pages : 266
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Book Description
This thesis develops three major essays on Arbitrage Theory, Market's Viability and Informational Markets. The first essay (Chapter 3) elaborates the exact connections among the No-Unbounded-Profit-with-Bounded-Risk (called NUPBR hereafter) condition, the existence of the numeraire portfolio, and market's weak/local viability. These tight relationships together with the financial crisis become our principal financial/economic leitmotif for the development of the next essay. In the second essay (Chapter 4 - Chapter 6), we focus on quantifying with extreme precision the effect of some additional information/uncertainty on the non-arbitrage concepts. As a result, we describe the interplay of this extra information and the market's parameters for these non-arbitrage concepts to be preserved. Herein, we focus on the classical no-arbitrage and the NUPBR condition. This study contains two main parts. In the first part of this essay (Chapter 4), we analyze practical examples of market models and extra information/uncertainty, for which we construct explicit "classical" arbitrage opportunities generated by the extra infor- mation/uncertainty. These examples are built in Brownian filtration and in Poisson filtration as well. The second part (Chapters 5 and 6) addresses the NUPBR condition in two different directions. On the one hand, we describe the pairs of market model and random time for which the resulting informational market model fulfills the NUPBR condition. On the other hand, we characterize the random time models that preserve the NUPBR condition. These results are elaborated for general market models with special attention to practical models such as discrete-time and Levy market models. The last essay (Chapter 7) investigates the effect of additional information on the Structure Conditions. These conditions are the alternatives to the non-arbitrage and viability assumption in the Markowitz settings.
Author: Jun Deng
Publisher:
ISBN:
Category : Arbitrage
Languages : en
Pages : 266
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Book Description
This thesis develops three major essays on Arbitrage Theory, Market's Viability and Informational Markets. The first essay (Chapter 3) elaborates the exact connections among the No-Unbounded-Profit-with-Bounded-Risk (called NUPBR hereafter) condition, the existence of the numeraire portfolio, and market's weak/local viability. These tight relationships together with the financial crisis become our principal financial/economic leitmotif for the development of the next essay. In the second essay (Chapter 4 - Chapter 6), we focus on quantifying with extreme precision the effect of some additional information/uncertainty on the non-arbitrage concepts. As a result, we describe the interplay of this extra information and the market's parameters for these non-arbitrage concepts to be preserved. Herein, we focus on the classical no-arbitrage and the NUPBR condition. This study contains two main parts. In the first part of this essay (Chapter 4), we analyze practical examples of market models and extra information/uncertainty, for which we construct explicit "classical" arbitrage opportunities generated by the extra infor- mation/uncertainty. These examples are built in Brownian filtration and in Poisson filtration as well. The second part (Chapters 5 and 6) addresses the NUPBR condition in two different directions. On the one hand, we describe the pairs of market model and random time for which the resulting informational market model fulfills the NUPBR condition. On the other hand, we characterize the random time models that preserve the NUPBR condition. These results are elaborated for general market models with special attention to practical models such as discrete-time and Levy market models. The last essay (Chapter 7) investigates the effect of additional information on the Structure Conditions. These conditions are the alternatives to the non-arbitrage and viability assumption in the Markowitz settings.
Author: Pablo Koch-Medina
Publisher: Springer Nature
ISBN: 3030397246
Category : Mathematics
Languages : en
Pages : 448
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Book Description
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.
Author: Christian Koch
Publisher: GRIN Verlag
ISBN: 3640277856
Category : Business & Economics
Languages : en
Pages : 81
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Book Description
Diploma Thesis from the year 1996 in the subject Business economics - Banking, Stock Exchanges, Insurance, Accounting, grade: 1,3, European Business School - International University Schlo Reichartshausen Oestrich-Winkel, 160 entries in the bibliography, 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 br
Author: George Koutoulas
Publisher:
ISBN:
Category : Arbitrage
Languages : en
Pages : 0
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This thesis uses the APT to explain the market anomalies and the apparent excess variability of stock returns. It also aims to modify the APT, to test if the Canadian and global North American equity markets are integrated or segmented.
Author: Jozef Rudy
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: John Halvard Noer
Publisher:
ISBN:
Category : Arbitrage
Languages : en
Pages : 296
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Author: Jochen Wilhelm
Publisher: Springer
ISBN:
Category : Arbitrage
Languages : en
Pages : 132
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Author: Felix Stang
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Author: José S. Fajardo Barbachan
Publisher:
ISBN:
Category :
Languages : en
Pages : 93
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Author: Davide Tomio
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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