An Equilibrium Approach to Pricing Foreign Currency Options PDF Download
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Author: Carsten Sørensen
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
The paper presents a modified version of the Garman-Kohlhagen formula for pricing European currency options. The equilibrium approach deviates from the no-arbitrage approach by allowing domestic and foreign interest rates and their dynamics to be determined endogenously in the model. By using the relations between exchange rate dynamics and the dynamics of interest rates, I provide a new characterization of the relevant volatilities for European currency option pricing, which only depends on parameters describing the variability of the log-exchange rate. The implications of the model for the valuation of American currency options and optimal exercise strategies are examined by applying numerical methods.
Author: Carsten Sørensen
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
The paper presents a modified version of the Garman-Kohlhagen formula for pricing European currency options. The equilibrium approach deviates from the no-arbitrage approach by allowing domestic and foreign interest rates and their dynamics to be determined endogenously in the model. By using the relations between exchange rate dynamics and the dynamics of interest rates, I provide a new characterization of the relevant volatilities for European currency option pricing, which only depends on parameters describing the variability of the log-exchange rate. The implications of the model for the valuation of American currency options and optimal exercise strategies are examined by applying numerical methods.
Author: Carsten Sørensen
Publisher:
ISBN:
Category :
Languages : en
Pages : 22
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Book Description
Author: Carsten Sørensen
Publisher:
ISBN:
Category :
Languages : en
Pages : 24
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Book Description
Author: David W.K. Yeung
Publisher: Hong Kong University Press
ISBN: 9622094546
Category : Business & Economics
Languages : en
Pages : 105
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Book Description
This book develops a new and interesting approach to the valuation of foreign exchange options. The authors synthesise international monetary theory with the Samuelson-Black-Scholes insight that assets prices follow diffusion processes, and obtain a system of stochastic differential equations to model exchange rate dynamics under the influence of purchasing power parity. An exact formula to price foreign currency options is obtained, which incorporates the influence of its purchasing power parity. The book is essential to advanced undergraduate and graduate students who wish to learn about the modern theory of foreign exchange options. Since its results are completely operational, the book will also prove to be invaluable for practitioners in the financial markets.
Author: Iain J. Clark
Publisher: John Wiley & Sons
ISBN: 1119978602
Category : Business & Economics
Languages : en
Pages : 308
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Book Description
This book covers foreign exchange options from the point of view of the finance practitioner. It contains everything a quant or trader working in a bank or hedge fund would need to know about the mathematics of foreign exchange—not just the theoretical mathematics covered in other books but also comprehensive coverage of implementation, pricing and calibration. With content developed with input from traders and with examples using real-world data, this book introduces many of the more commonly requested products from FX options trading desks, together with the models that capture the risk characteristics necessary to price these products accurately. Crucially, this book describes the numerical methods required for calibration of these models – an area often neglected in the literature, which is nevertheless of paramount importance in practice. Thorough treatment is given in one unified text to the following features: Correct market conventions for FX volatility surface construction Adjustment for settlement and delayed delivery of options Pricing of vanillas and barrier options under the volatility smile Barrier bending for limiting barrier discontinuity risk near expiry Industry strength partial differential equations in one and several spatial variables using finite differences on nonuniform grids Fourier transform methods for pricing European options using characteristic functions Stochastic and local volatility models, and a mixed stochastic/local volatility model Three-factor long-dated FX model Numerical calibration techniques for all the models in this work The augmented state variable approach for pricing strongly path-dependent options using either partial differential equations or Monte Carlo simulation Connecting mathematically rigorous theory with practice, this is the essential guide to foreign exchange options in the context of the real financial marketplace.
Author: Zhaohui Chen
Publisher: World Scientific
ISBN: 9789810226190
Category : Business & Economics
Languages : en
Pages : 224
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Book Description
This volume is a collection of classical and recent empirical studies of currency options and their implications for issues of exchange rate economics, such as exchange rate risk premium, volatility, market expectations, and credibility of exchange rate regimes. It contains applications on how to extract useful information from option market data for financial forecasting policy purposes. The subjects are discussed in a self-contained, user-friendly format, with introductory chapters on currency option theory and currency option markets. The book can be used as supplementary reading for graduate finance and international economics courses, as training material for central bank and regulatory authorities, or as a reference book for financial analysts.
Author: Jin-Chuan Duan
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
This paper generalizes the GARCH option pricing methodology in Duan (1995, Mathematical Finance) to a two-country setting. Specifically, we assume a bivariate nonlinear GARCH system for the exchange rate and the foreign asset price, and generalize the local risk-neutral valuation relationship in Duan (1995). We derive the equilibrium GARCH processes for the exchange rate and the foreign asset price in the two-country economy. Foreign currency options and cross-currency options can then be valued using the well-known risk-neutral valuation technique. Our setup allows rich empirical regularities such as stochastic volatility, fat tails, and the so-called leverage effect. We also run simulations to price quanto options and find that when the true environment is GARCH a constant variance model is not reliable in most cases. The proposed equilibrium valuation framework to price foreign currency and cross-currency options is the first of its kind in the literature.
Author: Christian Pierdzioch
Publisher: Springer Science & Business Media
ISBN: 9783540427452
Category : Business & Economics
Languages : en
Pages : 232
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Book Description
A flexible instrument to insure against adverse exchange rate movements are options on foreign currency. Often a relatively simple foreign currency option valuation model is used to address issues related to the pricing and hedging of such options. The results of many empirical studies document that real-world foreign currency option premia deviate from those predicted by the baseline model. In the first part of the book, it is shown that a noise trader model can help to explain the observed mispricing of the baseline foreign currency option pricing model. In the second part of the book, it is studied how policymakers can exploit the pricing errors of the baseline model. In particular, it is examined how option pricing theory can be applied to assess the effectiveness of central bank interventions in the foreign exchange market. To this end, a model is constructed to analyze the effectiveness of the interventions conducted by the Deutsche Bundesbank during the Louvre period.
Author: Prakash Apte
Publisher:
ISBN:
Category : Foreign exchange rates
Languages : en
Pages : 56
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Book Description
We characterize the equilibrium exchange rate in a general equilibrium economy without imposing strong restrictions on the output processes, preferences, or commodity market imperfections. The nominal exchange rate is determined by differences in initial wealths the currencies of richer countries tend to be overvalued by PPP standards and by differences of marginal indirect utilities of total nominal spending. Changes in the exchange rate mirror differences in growth rates of real spending weighted by relative risk-aversion (which can be time-varying and can differ across countries), and in the case of non-homothetic utility functions, differences in inflation rates computed from marginal spending weights. Thus, standard regression or cointegration tests of PPP suffer from missing-variables biases and ignore variations in risk aversions across countries and over time. We also present cointegration tests of the version of the model with constant relative risk aversion (CRRA) and homothetic preferences. When nominal spending is given an independent role (next to prices) in the short-term dynamics, both PPP and the CRRA model become acceptable.
Author: David F. DeRosa
Publisher: John Wiley & Sons
ISBN: 9780471252672
Category : Business & Economics
Languages : en
Pages : 414
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Book Description
Mit über einer Billion US Dollar Umsatz stellt der Devisenhandel weltweit den größten Markt dar. In diesem Markt sind Währungsderivate zu einem bevorzugten Handelsinstrument geworden, das von Großbanken, Brokerhäusern, Hedge Funds (spekulativ ausgerichteter Fonds, der mit Hilfe von Derivaten seine Gewinne zu optimieren versucht) und Handelsberatern eingesetzt wird. Zwar sind diese Instrumente heute komplexer denn je, aber sie sind ein unverzichtbares Mittel des Risikomanagements im Devisenhandel. Herausgegeben von führenden Devisenhändlern und Analysten, ist dieses Buch Basislektüre für jeden, der sich in diesem Bereich bewegt. Eine Sammlung der 20 besten und meist zitierten Beiträge zu Währungsderivaten, Preistheorie und Anwendungen von Hedging-Methoden (10/98)
