Super-Hedging American Options with Semi-Static Trading Strategies Under Model Uncertainty

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Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Super-Hedging American Options with Semi-Static Trading Strategies Under Model Uncertainty by : Erhan Bayraktar

Download or read book Super-Hedging American Options with Semi-Static Trading Strategies Under Model Uncertainty written by Erhan Bayraktar and published by . This book was released on 2016 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider the super-hedging price of an American option in a discrete-time market in which stocks are available for dynamic trading and European options are available for static trading. We show that the super-hedging price is given by the supremum over the prices of the American option under randomized models.

On Hedging American Options Under Model Uncertainty

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Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis On Hedging American Options Under Model Uncertainty by : Erhan Bayraktar

Download or read book On Hedging American Options Under Model Uncertainty written by Erhan Bayraktar and published by . This book was released on 2014 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider as given a discrete time financial market with a risky asset and options written on that asset and determine both the sub- and super-hedging prices of an American option in the model independent framework of ArXiv:1305.6008. We obtain the duality of results for the sub- and super-hedging prices. For the sub-hedging prices we discuss whether the sup and inf in the dual representation can be exchanged (a counter example shows that this is not true in general). For the super-hedging prices we discuss several alternative definitions and argue why our choice is more reasonable. Then assuming that the path space is compact, we construct a discretization of the path space and demonstrate the convergence of the hedging prices at the optimal rate. The latter result would be useful for numerical computation of the hedging prices. Our results generalize those of ArXiv:1304.3574 to the case when static positions in (finitely many) European options can be used in the hedging portfolio.

No-Arbitrage and Hedging with Liquid American Options

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Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis No-Arbitrage and Hedging with Liquid American Options by : Erhan Bayraktar

Download or read book No-Arbitrage and Hedging with Liquid American Options written by Erhan Bayraktar and published by . This book was released on 2016 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since most of the traded options on individual stocks is of American type it is of interest to generalize the results obtained in semi-static trading to the case when one is allowed to statically trade American options. However, this problem has proved to be elusive so far because of the asymmetric nature of the positions of holding versus shorting such options.Here we provide a unified framework and generalize the fundamental theorem of asset pricing (FTAP) and hedging dualities in Bayraktar and Zhou (2015, to appear in Annals of Applied Probability, also available at 'http://ssrn.com/abstract=2569256' http://ssrn.com/abstract=2569256) to the case where the investor can also short American options. Following this earlier work, we assume that the longed American options are divisible. As for the shorted American options, we show that the divisibility plays no role regarding arbitrage property and hedging prices. Then using the method of enlarging probability spaces proposed in Deng and Tan (2016, ArXiv e-prints), we convert the shorted American options to European options, and establish the FTAP and sub- and super-hedging dualities in the enlarged space both with and without model uncertainty.

Robust Static Super-Replication of Barrier Options

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Publisher : Walter de Gruyter
ISBN 13 : 3110208512
Total Pages : 210 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Robust Static Super-Replication of Barrier Options by : Jan H. Maruhn

Download or read book Robust Static Super-Replication of Barrier Options written by Jan H. Maruhn and published by Walter de Gruyter. This book was released on 2009-07-14 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Static hedge portfolios for barrier options are very sensitive with respect to changes of the volatility surface. To prevent potentially significant hedging losses this book develops a static super-replication strategy with market-typical robustness against volatility, skew and liquidity risk as well as model errors. Empirical results and various numerical examples confirm that the static superhedge successfully eliminates the risk of a changing volatility surface. Combined with associated sub-replication strategies this leads to robust price bounds for barrier options which are also relevant in the context of dynamic hedging. The mathematical techniques used to prove appropriate existence, duality and convergence results range from financial mathematics, stochastic and semi-infinite optimization, convex analysis and partial differential equations to semidefinite programming.

Arbitrage, Hedging and Utility Maximization Using Semi-Static Trading Strategies with American Options

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Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Arbitrage, Hedging and Utility Maximization Using Semi-Static Trading Strategies with American Options by : Erhan Bayraktar

Download or read book Arbitrage, Hedging and Utility Maximization Using Semi-Static Trading Strategies with American Options written by Erhan Bayraktar and published by . This book was released on 2015 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider a financial model where stocks are available for dynamic trading, and European and American options are available for static trading (semi-static trading strategies). We assume that the American options are infinitely divisible, and can only be bought but not sold. We first get the fundamental theorem of asset pricing (FTAP) using semi-static trading strategies. Using the FTAP result, we further get the dualities for the hedging prices of European and American options. Based on the hedging dualities, we also get the duality for the utility maximization involving semi-static trading strategies.

Advanced Options Trading

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Publisher : McGraw Hill Professional
ISBN 13 : 9781557385529
Total Pages : 356 pages
Book Rating : 4.3/5 (855 download)

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Book Synopsis Advanced Options Trading by : Robert T. Daigler

Download or read book Advanced Options Trading written by Robert T. Daigler and published by McGraw Hill Professional. This book was released on 1994 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book thoroughly explains the options markets. Moreover, the work contains several unique features, including computer codes to calculate changes in options properties and a historic evaluation of options strategies and pricing theories. As a result, traders learn what works and what doesn't wor

The Option Trader's Hedge Fund

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Publisher : FT Press
ISBN 13 : 0132823403
Total Pages : 240 pages
Book Rating : 4.1/5 (328 download)

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Book Synopsis The Option Trader's Hedge Fund by : Dennis A. Chen

Download or read book The Option Trader's Hedge Fund written by Dennis A. Chen and published by FT Press. This book was released on 2012 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, a hedge fund manager and an option trading coach show you how to earn steady, reliable income selling options by managing your option trades and running your option portfolio as a real business with consistent, steady returns. Packed with real-world examples, the authors show you how to manage your own "one man" hedge fund and make consistent profits from selling options by applying the basic framework and fundamental business model and principles of an "insurance company". This framework helps you to apply your option trading strategy to a solid, predictable, business model with consistent returns. For someone who has some knowledge of trading options and wants to become a consistent income earner. The authors provide a complete "operations manual" for setting up your business. Gain pearls of wisdom from both a professional options trader and coach, and from a hedge fund manager focused on managing an options based portfolio.

Static Hedging and Pricing American Options

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Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis Static Hedging and Pricing American Options by : San-Lin Chung

Download or read book Static Hedging and Pricing American Options written by San-Lin Chung and published by . This book was released on 2008 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper utilizes the static portfolio approach of Derman, Ergener, and Kani (1995) and Carr, Ellis, and Gupta (1998) to hedge and price American options under the Black-Scholes (1973) model and the constant elasticity of variance (CEV) model of Cox (1975). The static hedge portfolio (SHP) of an American option is formulated by applying the value-matching and smooth-pasting conditions at the early exercise boundaries. The numerical results indicate that the pricing efficiency of our static hedging approach is comparable to some recent advanced numerical methods such as Broadie and Detemple's (1996) binomial Black-Scholes method with Richardson extrapolation (BBSR). Furthermore, our static hedging approach provides simple and intuitive derivations of the early exercise boundaries near expiration.

Option Volatility & Pricing: Advanced Trading Strategies and Techniques

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Publisher : McGraw Hill Professional
ISBN 13 : 155738486X
Total Pages : 485 pages
Book Rating : 4.5/5 (573 download)

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Book Synopsis Option Volatility & Pricing: Advanced Trading Strategies and Techniques by : Sheldon Natenberg

Download or read book Option Volatility & Pricing: Advanced Trading Strategies and Techniques written by Sheldon Natenberg and published by McGraw Hill Professional. This book was released on 1994-08 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a thorough discussion of volatility, the most important aspect of options trading. Shows how to identify mispriced options and to construct volatility and "delta neutral" spreads.

American Options Under Proportional Transaction Costs

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Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis American Options Under Proportional Transaction Costs by : Tomasz Zastawniak

Download or read book American Options Under Proportional Transaction Costs written by Tomasz Zastawniak and published by . This book was released on 2007 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: American options are priced and hedged in a general discrete market in the presence of arbitrary proportional transaction costs inherent in trading the underlying asset, modelled as bid-ask spreads. Pricing, hedging and optimal stopping algorithms are established for a short position (seller's position) in an American option with an arbitrary payoff settled by physical delivery. The seller's price representation as the expectation of the stopped payoff under an approximate martingale measure is also considered. The algorithms cover and extend the various special cases considered in the literature to-date. Any specific restrictions that were imposed on the form of the payoff, the magnitude of transaction costs or the discrete market model itself are relaxed. The pricing algorithm under transaction costs can be viewed as a natural generalisation of the iterative Snell envelope construction.

Trading Up

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Publisher : Portfolio Trade
ISBN 13 : 9781591840701
Total Pages : 300 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Trading Up by : Michael J. Silverstein

Download or read book Trading Up written by Michael J. Silverstein and published by Portfolio Trade. This book was released on 2008 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study on middle-class consumerism finds that today's customers are seeking higher levels of quality, taste, and aspiration, in a revised edition of the best-seller that draws on new research to explore the trading up phenomenon to reveal how entrepreneurs, innovators, managers, and marketers can make the most out of related opportunities. Reprint.

Applied Conic Finance

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Publisher : Cambridge University Press
ISBN 13 : 1316776778
Total Pages : 205 pages
Book Rating : 4.3/5 (167 download)

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Book Synopsis Applied Conic Finance by : Dilip Madan

Download or read book Applied Conic Finance written by Dilip Madan and published by Cambridge University Press. This book was released on 2016-10-13 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive introduction to the brand new theory of conic finance, also referred to as the two-price theory, which determines bid and ask prices in a consistent and fundamentally motivated manner. Whilst theories of one price classically eliminate all risk, the concept of acceptable risks is critical to the foundations of the two-price theory which sees risk elimination as typically unattainable in a modern financial economy. Practical examples and case studies provide the reader with a comprehensive introduction to the fundamentals of the theory, a variety of advanced quantitative models, and numerous real-world applications, including portfolio theory, option positioning, hedging, and trading contexts. This book offers a quantitative and practical approach for readers familiar with the basics of mathematical finance to allow them to boldly go where no quant has gone before.

Commodities and Commodity Derivatives

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Publisher : John Wiley & Sons
ISBN 13 : 0470687738
Total Pages : 479 pages
Book Rating : 4.4/5 (76 download)

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Book Synopsis Commodities and Commodity Derivatives by : Helyette Geman

Download or read book Commodities and Commodity Derivatives written by Helyette Geman and published by John Wiley & Sons. This book was released on 2009-09-24 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last few years have been a watershed for the commodities, cash and derivatives industry. New regulations and products have led to an explosion in the commodities markets, creating a new asset for investors that includes hedge funds as well as University endowments, and has resulted in a spectacular growth in spot and derivative trading. This book covers hard and soft commodities (energy, agriculture and metals) and analyses: Economic and geopolitical issues in commodities markets Commodity price and volume risk Stochastic modelling of commodity spot prices and forward curves Real options valuation and hedging of physical assets in the energy industry It is required reading for energy companies and utilities practitioners, commodity cash and derivatives traders in investment banks, the Agrifood business, Commodity Trading Advisors (CTAs) and Hedge Funds. In Commodities and Commodity Derivatives, Hélyette Geman shows her powerful command of the subject by combining a rigorous development of its mathematical modelling with a compact institutional presentation of the arcane characteristics of commodities that makes the complex analysis of commodities derivative securities accessible to both the academic and practitioner who wants a deep foundation and a breadth of different market applications. It is destined to be a "must have" on the subject.” —Robert Merton, Professor, Harvard Business School "A marvelously comprehensive book of interest to academics and practitioners alike, by one of the world's foremost experts in the field." —Oldrich Vasicek, founder, KMV

How I Became a Quant

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Publisher : John Wiley & Sons
ISBN 13 : 1118044754
Total Pages : 406 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis How I Became a Quant by : Richard R. Lindsey

Download or read book How I Became a Quant written by Richard R. Lindsey and published by John Wiley & Sons. This book was released on 2011-01-11 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for How I Became a Quant "Led by two top-notch quants, Richard R. Lindsey and Barry Schachter, How I Became a Quant details the quirky world of quantitative analysis through stories told by some of today's most successful quants. For anyone who might have thought otherwise, there are engaging personalities behind all that number crunching!" --Ira Kawaller, Kawaller & Co. and the Kawaller Fund "A fun and fascinating read. This book tells the story of how academics, physicists, mathematicians, and other scientists became professional investors managing billions." --David A. Krell, President and CEO, International Securities Exchange "How I Became a Quant should be must reading for all students with a quantitative aptitude. It provides fascinating examples of the dynamic career opportunities potentially open to anyone with the skills and passion for quantitative analysis." --Roy D. Henriksson, Chief Investment Officer, Advanced Portfolio Management "Quants"--those who design and implement mathematical models for the pricing of derivatives, assessment of risk, or prediction of market movements--are the backbone of today's investment industry. As the greater volatility of current financial markets has driven investors to seek shelter from increasing uncertainty, the quant revolution has given people the opportunity to avoid unwanted financial risk by literally trading it away, or more specifically, paying someone else to take on the unwanted risk. How I Became a Quant reveals the faces behind the quant revolution, offering you?the?chance to learn firsthand what it's like to be a?quant today. In this fascinating collection of Wall Street war stories, more than two dozen quants detail their roots, roles, and contributions, explaining what they do and how they do it, as well as outlining the sometimes unexpected paths they have followed from the halls of academia to the front lines of an investment revolution.

Dynamic Asset Pricing Theory

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Publisher : Princeton University Press
ISBN 13 : 1400829208
Total Pages : 488 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Dynamic Asset Pricing Theory by : Darrell Duffie

Download or read book Dynamic Asset Pricing Theory written by Darrell Duffie and published by Princeton University Press. This book was released on 2010-01-27 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a thoroughly updated edition of Dynamic Asset Pricing Theory, the standard text for doctoral students and researchers on the theory of asset pricing and portfolio selection in multiperiod settings under uncertainty. The asset pricing results are based on the three increasingly restrictive assumptions: absence of arbitrage, single-agent optimality, and equilibrium. These results are unified with two key concepts, state prices and martingales. Technicalities are given relatively little emphasis, so as to draw connections between these concepts and to make plain the similarities between discrete and continuous-time models. Readers will be particularly intrigued by this latest edition's most significant new feature: a chapter on corporate securities that offers alternative approaches to the valuation of corporate debt. Also, while much of the continuous-time portion of the theory is based on Brownian motion, this third edition introduces jumps--for example, those associated with Poisson arrivals--in order to accommodate surprise events such as bond defaults. Applications include term-structure models, derivative valuation, and hedging methods. Numerical methods covered include Monte Carlo simulation and finite-difference solutions for partial differential equations. Each chapter provides extensive problem exercises and notes to the literature. A system of appendixes reviews the necessary mathematical concepts. And references have been updated throughout. With this new edition, Dynamic Asset Pricing Theory remains at the head of the field.

International Convergence of Capital Measurement and Capital Standards

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Publisher : Lulu.com
ISBN 13 : 9291316695
Total Pages : 294 pages
Book Rating : 4.2/5 (913 download)

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Book Synopsis International Convergence of Capital Measurement and Capital Standards by :

Download or read book International Convergence of Capital Measurement and Capital Standards written by and published by Lulu.com. This book was released on 2004 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mean Field Games

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Publisher : Springer Nature
ISBN 13 : 3030598373
Total Pages : 316 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Mean Field Games by : Yves Achdou

Download or read book Mean Field Games written by Yves Achdou and published by Springer Nature. This book was released on 2021-01-19 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an introduction to the theory of Mean Field Games, suggested by J.-M. Lasry and P.-L. Lions in 2006 as a mean-field model for Nash equilibria in the strategic interaction of a large number of agents. Besides giving an accessible presentation of the main features of mean-field game theory, the volume offers an overview of recent developments which explore several important directions: from partial differential equations to stochastic analysis, from the calculus of variations to modeling and aspects related to numerical methods. Arising from the CIME Summer School "Mean Field Games" held in Cetraro in 2019, this book collects together lecture notes prepared by Y. Achdou (with M. Laurière), P. Cardaliaguet, F. Delarue, A. Porretta and F. Santambrogio. These notes will be valuable for researchers and advanced graduate students who wish to approach this theory and explore its connections with several different fields in mathematics.