Pricing and Hedging American Barrier Options by a Modified Binomial Method PDF Download
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Author: Marcellino Gaudenzi
Publisher:
ISBN:
Category :
Languages : en
Pages : 19
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Book Description
Author: Marcellino Gaudenzi
Publisher:
ISBN:
Category :
Languages : en
Pages : 19
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Author: Peter H. Ritchken
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Pricing and hedging barrier options using a binomial lattice can be quite delicate. If the barrier is not constant, or if there are multiple barriers, then in all likelihood binomial lattices will produce erroneous answers even when a large number of time steps are used. While in some cases the time partitions of the binomial method can be carefully chosen so as to reduce the bias, for many barrier contracts more efficient procedures exist. This article explains how a very simple and extremely efficient trinomial lattice procedure can be used to price and hedge most types of exotic barriers.
Author: Bin Gao
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
In this paper, we propose an alternative approach for pricing and hedging American barrier options. Specifically, we obtain an analytic representation for the value and hedge parameters of barrier options, using the decomposition technique of separating the European option value from the early exercise premium. This allows us to identify some new put-call quot;symmetryquot; relations and the homogeneity in price parameters of the optimal exercise boundary. These properties can be utilized to increase the computational efficiency of our method in pricing and hedging American options. Our implementation of the obtained solution indicates that the proposed approach is both efficient and accurate in computing option values and option hedge parameters. Our numerical results also demonstrate that the approach dominates the existing lattice methods in both accuracy and efficiency. In particular, the method is free of the difficulty that existing numerical methods have in dealing with spot prices in the proximity of the barrier, the case where the barrier options are most problematic.
Author: Marti G. Subrahmanyam
Publisher:
ISBN:
Category :
Languages : en
Pages : 44
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Book Description
In this paper, we propose an alternative approach for pricing and hedging non-standard American options. In principle, the proposed approach applies to any kind of American-style contract for which the payoff function has a Markovian representation in the state space. Specifically, we obtain an analytic solution for the value and hedge parameters of barrier options, an important example of path-dependent options. The solution includes standard American options as a special case. The analytic formula also allows us to identify and exploit two key properties of the optimal exercise boundary - homogeneity in price parameters and time-invariance - for American options. In addition, some new put-call ``symmetryquot; relations are also derived. These properties suggest a new, efficient and integrated approach to pricing and hedging a variety of standard and non-standard American options. From an implementation perspective, this approach avoids the current practice of repetitive computation of option prices and hedge ratios. Our implementation of the analytic formula for barrier options indicates that the proposed approach is both efficient and accurate in computing option values and option hedge parameters. In some cases, our method is substantially faster than existing numerical methods with equal accuracy. In particular, the method overcomes the difficulty that existing numerical methods have in dealing with prices close to the barrier, the case where the barrier matters most.
Author: Emmanuel Deogratias
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659362316
Category :
Languages : en
Pages : 124
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Book Description
The Black Scholes Model (1973) is used to price and hedge plain vanilla barrier options on a non dividend paying asset. Under this model, Monte Carlo Simulation, Stratified sampling, Simpson's rule, Trapezoidal rule and Antithetic variable techniques have been used to determine the value and hedging portfolio of a plain vanilla barrier option. Also stochastic dynamic programming has been developed so as to determine the price and hedging portfolio of the option. Finally the methods are compared to each other in terms of accuracy. It is found that stratified sampling technique is the best method after comparing with other methods.
Author: Iain Douglas Clayton
Publisher:
ISBN:
Category :
Languages : en
Pages : 176
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Author: Espen Gaarder Haug
Publisher: Professional Finance & Investment
ISBN:
Category : Business & Economics
Languages : en
Pages : 586
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Book Description
Accompanying CD-ROM contains ... "all pricing formulas, with VBA code and ready-to-use Excel spreadsheets and 3D charts for Greeks (or Option Sensitivities)."--Jacket.
Author: British Library of Political and Economic Science Staff
Publisher: Routledge
ISBN: 9780415447171
Category : Business & Economics
Languages : en
Pages : 664
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Book Description
First published in 2007. Routledge is an imprint of Taylor & Francis, an informa company.
Author:
Publisher:
ISBN:
Category : Futures
Languages : en
Pages : 664
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Author: Robert A Jarrow
Publisher: World Scientific
ISBN: 1944659579
Category : Business & Economics
Languages : en
Pages : 772
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Book Description
Written by two of the most distinguished finance scholars in the industry, this introductory textbook on derivatives and risk management is highly accessible in terms of the concepts as well as the mathematics.With its economics perspective, this rewritten and streamlined second edition textbook, is closely connected to real markets, and:Beginning at a level that is comfortable to lower division college students, the book gradually develops the content so that its lessons can be profitably used by business majors, arts, science, and engineering graduates as well as MBAs who would work in the finance industry. Supplementary materials are available to instructors who adopt this textbook for their courses. These include:Solutions Manual with detailed solutions to nearly 500 end-of-chapter questions and problemsPowerPoint slides and a Test Bank for adoptersPRICED! In line with current teaching trends, we have woven spreadsheet applications throughout the text. Our aim is for students to achieve self-sufficiency so that they can generate all the models and graphs in this book via a spreadsheet software, Priced!
