Currency Option Pricing with Mean Reversion and Uncovered Interest Parity PDF Download
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Author: Niklas Ekvall
Publisher:
ISBN:
Category :
Languages : en
Pages : 26
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Book Description
Author: Niklas Ekvall
Publisher:
ISBN:
Category :
Languages : en
Pages : 26
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Book Description
Author: Zhaohui Chen
Publisher: World Scientific
ISBN: 9814499161
Category : Business & Economics
Languages : en
Pages : 218
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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: Cho-Hoi Hui
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Book Description
This paper develops a barrier-option pricing model in which the exchange rate follows a mean-reverting lognormal process. The corresponding closed-form solutions for the barrier options with time-dependent barriers are derived. The numerical results show that barrier option values and the corresponding hedge parameters under the proposed model are different from those based on the Black-Scholes model. For an up-and-out call, the mean-reverting process keeps the exchange rate in a small range around the mean level. When the mean level is below the barrier but above the strike price, the risk of the call to be knocked out is reduced and its option value is enhanced compared with the value under the Black-Scholes model. The parameters of the mean-reverting lognormal process therefore have a material impact on the valuation of currency barrier options and their hedge parameters.
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: Hoi Ying Wong
Publisher:
ISBN:
Category :
Languages : en
Pages : 22
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Book Description
This paper develops a path-dependent currency option pricing framework in which the exchange rate follows a mean-reverting lognormal process. Analytical solutions are derived for barrier options with a constant barrier, lookback options and turbo warrants. As the analytical solutions are obtained in Laplace transform, we show numerically that our solution implemented with a numerical Laplace inversion is efficient and accurate. The pricing behavior of path-dependent options with mean-reversion is contrasted to the Black-Scholes model.
Author: Kaushik I. Amin
Publisher:
ISBN:
Category : International finance
Languages : en
Pages : 58
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Book Description
Author: Mariusz Tamborski
Publisher:
ISBN:
Category : Currency convertibility
Languages : en
Pages : 52
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Book Description
Author: Ranganai Gwati
Publisher:
ISBN:
Category :
Languages : en
Pages : 126
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Book Description
Chapter 1: Historically, the currency derivative pricing literature and the macroeconomics literature on FX determination have progressed separately. In this Chapter I argue the joint study of these two strands of literature and give an overview of FX option pricing concepts and terminology crucial for this interdisciplinary study. I also explain the three sources of information about market expectations and perception of risk that can be extracted from FX option prices and review empirical methods for extracting option-implied densities of future exchange rates. As an illustration, I conclude the Chapter by investigating time series dynamics of option-implied measures of FX risk vis-a-vis market events and US government policy actions during the period January 2007 to December 2008. Chapter 2: This Chapter proposes using foreign exchange (FX) options with different strike prices and maturities to capture both FX expectations and risks. We show that exchange rate movements, which are notoriously difficult to model empirically, are well-explained by the term structures of forward premia and options-based measures of FX expectations and risk. Although this finding is to be expected, expectations and risk have been largely ignored in empirical exchange rate modeling. Using daily options data for six major currency pairs, we first show that the cross section options-implied standard deviation, skewness and kurtosis consistently explain not only the conditional mean but also the entire conditional distribution of subsequent currency excess returns for horizons ranging from one week to twelve months. This robust empirical pattern is consistent with a representative expected utility maximizing investor who, in addition to caring about the mean and variance, also cares about the skewness and kurtosis of the return distribution. Our results highlight the importance of expectations and risk in explaining exchange rate dynamics and suggest that the perennial problems faced by the empirical exchange rate literature are most likely due to overly restrictive auxiliary assumptions inherent in prevailing testing methods. Chapter 3: Standard ordinary least squares (OLS)-based tests of the uncovered interest parity (UIP) condition often make strong auxiliary assumptions beyond the joint hypotheses of rational expectations and risk-neutrality. This paper proposes using prices of foreign exchange (FX) option with different strike prices to test the time-varying risk premia explanation of the UIP puzzle. The options-based testing framework rests on the theoretical result that the forward exchange rate is the theoretical first moment of the option-implied distribution of future spot exchange rate. The framework allows us to test a more general version of FX market efficiency, which is the hypothesis that the option-implied risk-neutral distribution is an unbiased predictor of the future realized distribution of future spot rate. For five currency pairs, I do not reject the null hypothesis of UIP using the options-based approach.
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: Yuanzheng Cao
Publisher: Springer
ISBN: 9811308004
Category : Business & Economics
Languages : en
Pages : 242
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Book Description
This book presents the theoretical framework for the evolution of the international monetary system and the internationalization of the RMB. Combining theoretical research and empirical study, it then provides an in-depth analysis of the relevant issues from multiple perspectives based on this framework. Written by former chief economist at the Bank of China, this book explains the “two-step strategy” from the capital account opening to the full convertibility of the RMB, it also analyzes the status and functions of the HK offshore financial market in internationalizing the RMB.
