[PDF] Novel No Arbitrage Conditions For Options Written On Defaultable Assets eBook
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Based on the result of Orosi (2014), we derive an improved lower bound for European-style put options written on defaultable assets. Furthermore, we establish two additional no-arbitrage conditions, one for European-style puts and one for calls, which are tighter than the ones commonly reported in current literature. All of our results are based on static arbitrage arguments and have important implications for constructing arbitrage-free call or put option surfaces. In particular, we point out that the commonly stated conditions required for a call option surface are not always sufficient to generate an arbitrage-free call option surface.
This work presents invited contributions from the second "International Conference on Mathematics and Statistics" jointly organized by the AUS (American University of Sharjah) and the AMS (American Mathematical Society). Addressing several research fields across the mathematical sciences, all of the papers were prepared by faculty members at universities in the Gulf region or prominent international researchers. The current volume is the first of its kind in the UAE and is intended to set new standards of excellence for collaboration and scholarship in the region.
We consider an option c which is contingent on an underlying (tilde S) that is not a traded asset. This situation typically arises in the context of real options. We investigate the situation when there is a "surrogate" traded asset S whose price process is highly correlated with that of (tilde S). An illustration would be the cases where S and (tilde S) model two different brands of crude oil. The main result of the paper shows that in this case one cannot draw any non-trivial conclusions on the price of the option by only using no arbitrage arguments. In a second step we try to isolate hedging strategies on the traded asset S which minimize the variance of the hedging error. We show in particular, that the naive strategy of simply replacing (tilde S) by S fails to be optimal and we are able to quantify how far it is from being optimal. (author's abstract).
This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.
Author : P. C. G. Vassiliou Publisher : John Wiley & Sons Page : 296 pages File Size : 44,74 MB Release : 2013-03-01 Category : Mathematics ISBN : 1118618661
Stochastic finance and financial engineering have been rapidly expanding fields of science over the past four decades, mainly due to the success of sophisticated quantitative methodologies in helping professionals manage financial risks. In recent years, we have witnessed a tremendous acceleration in research efforts aimed at better comprehending, modeling and hedging this kind of risk. These two volumes aim to provide a foundation course on applied stochastic finance. They are designed for three groups of readers: firstly, students of various backgrounds seeking a core knowledge on the subject of stochastic finance; secondly financial analysts and practitioners in the investment, banking and insurance industries; and finally other professionals who are interested in learning advanced mathematical and stochastic methods, which are basic knowledge in many areas, through finance. Volume 1 starts with the introduction of the basic financial instruments and the fundamental principles of financial modeling and arbitrage valuation of derivatives. Next, we use the discrete-time binomial model to introduce all relevant concepts. The mathematical simplicity of the binomial model also provides us with the opportunity to introduce and discuss in depth concepts such as conditional expectations and martingales in discrete time. However, we do not expand beyond the needs of the stochastic finance framework. Numerous examples, each highlighted and isolated from the text for easy reference and identification, are included. The book concludes with the use of the binomial model to introduce interest rate models and the use of the Markov chain model to introduce credit risk. This volume is designed in such a way that, among other uses, makes it useful as an undergraduate course.
Irwin Library of Investment and Finance Pricing Derivatives provides investors with a clear understanding of derivative pricing models by first focusing on the underlying mathematics and financial concepts upon which the models were originally built. Trading consultant Professor Ambar Sengupta uses short, to-the-point chapters to examine the relation between price and probability as well as pricing structures of all major derivative instruments. Other topics covered include foundations of stochastic models of pricing, along with methods for establishing optimal prices in terms of the max-min principles that underlie game theory.
An Arbitrage Guide to Financial Markets is the first book to explicitly show the linkages of markets for equities, currencies, fixed income and commodities. Using a unique structural approach, it dissects all markets the same way: into spot, forward and contingent dimensions, bringing out the simplicity and the commonalities of all markets. The book shuns stochastic calculus in favor of cash flow details of arbitrage trades. All math is simple, but there is lots of it. The book reflects the relative value mentality of an institutional trader seeking profit from misalignments of various market segments. The book is aimed at entrants into investment banking and dealing businesses, existing personnel in non-trading jobs, and people outside of the financial services industry trying to gain a view into what drives dealers in today’s highly integrated marketplace. A committed reader is guaranteed to leave with a deep understanding of all current issues. "This is an excellent introduction to the financial markets by an author with a strong academic approach and practical insights from trading experience. At a time when the proliferation of financial instruments and the increased use of sophisticated mathematics in their analysis, makes an introduction to financial markets intimidating to most, this book is very useful. It provides an insight into the core concepts across markets and uses mathematics at an accessible level. It equips readers to understand the fundamentals of markets, valuation and trading. I would highly recommend it to anyone looking to understand the essentials of successfully trading, structuring or using the entire range of financial instruments available today." —Varun Gosain, Principal, Constellation Capital Management, New York "Robert Dubil, drawing from his extensive prior trading experience, has made a significant contribution by writing an easy to understand book about the complex world of today’s financial markets, using basic mathematical concepts. The book is filled with insights and real life examples about how traders approach the market and is required reading for anyone with an interest in understanding markets or a career in trading." —George Handjinicolaou, Partner, Etolian Capital, New York "This book provides an excellent guide to the current state of the financial markets. It combines academic rigour with the author’s practical experience of the financial sector, giving both students and practitioners an insight into the arbitrage pricing mechanism." —Zenji Nakamura, Managing Director, Europe Fixed Income Division, Nomura International plc, London