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Stochastic Interest Rate And Stochastic Volatility Models Of Currency Futures Options
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Book Synopsis Stochastic Interest Rate and Stochastic Volatility Models of Currency Futures Options by : Thadavillil Jithendranathan
Download or read book Stochastic Interest Rate and Stochastic Volatility Models of Currency Futures Options written by Thadavillil Jithendranathan and published by . This book was released on 1993 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Currency Derivative and International Term Structure Pricing in a Stochastic Interest Rate, Stochastic Volatility and Stochastic Jump Intensity World by : Shijun Liu
Download or read book Currency Derivative and International Term Structure Pricing in a Stochastic Interest Rate, Stochastic Volatility and Stochastic Jump Intensity World written by Shijun Liu and published by . This book was released on 2007 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: We first derive closed form solutions for currency options, currency futures, future options and the term structures of interest rates in a diffusion-jump model of stochastic interest rate, stochastic volatility and time varying jump intensity in currency price. We demonstrate that the introduction of constant jump intensity in the nominal stochastic discount factor shifts the whole term structure of interest rates vertically but has no influence on its shape. However, when the jump intensity is endogenous (time varying) the shape of the term structure is influenced through the factor sensitivity of interest rates. We also document considerable improvement in currency option pricing precision over alternative models if the true model is diffusion-jump with endogenous intensity in a simulation experiment. We conclude that allowing for multidimensional interaction is of significant qualitative and quantitative importance for the pricing of currency options and for understanding the shape of the term structure.
Book Synopsis Pricing Currency Options Under Stochastic Interest Rates and Jump-Diffusion Processes by : Ako Doffou
Download or read book Pricing Currency Options Under Stochastic Interest Rates and Jump-Diffusion Processes written by Ako Doffou and published by . This book was released on 2007 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: We investigate the effects of stochastic interest rates and jumps in the spot exchange rate on the pricing of currency futures, forwards and futures options. The proposed model extends Bates' model by allowing both the domestic and foreign interest rates to move around randomly, in a generalized Vasicek term-structure framework. Numerical examples show that the model prices of European currency futures options are similar to those given by Bates' and Black's models in the absence of jumps and when the volatilities of the domestic and foreign interest rates and futures price are negligible. Changes in these volatilities affect the futures options prices. bates' and Black's models underprice the European currency futures options in both the presence and the absence of jumps. The mispricing increases with the volatilities of interest rates and futures prices.
Book Synopsis Stochastic Volatility and Jumps in Interest Rates by : Ren-Raw Chen
Download or read book Stochastic Volatility and Jumps in Interest Rates written by Ren-Raw Chen and published by . This book was released on 2010 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we examine possible stochastic volatility and jumps in short-term interest rates for four major countries: US, UK, Germany and Japan. An econometric model with stochastic volatility and jumps in both rates and volatility is derived and fit to the daily data for futures interest rates in four major currencies and the model provides a better fit for the empirical distributions. The distributions for changes in Eurocurrency interest rate futures are leptokurtic with fat tails and an unusually large percentage of observations concentrated at zero. The implied volatilities for at-the-money options on interest rate futures reveal evidence of stochastic volatility, as well as jumps in volatility.
Book Synopsis Currency Option Pricing with Stochastic Interest Rates and Transaction Costs by : Mariusz Tamborski
Download or read book Currency Option Pricing with Stochastic Interest Rates and Transaction Costs written by Mariusz Tamborski and published by . This book was released on 1994 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Currency Options And Exchange Rate Economics by : Zhaohui Chen
Download or read book Currency Options And Exchange Rate Economics written by Zhaohui Chen and published by World Scientific. This book was released on 1998-04-21 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Pricing Long-Maturity Equity and FX Derivatives with Stochastic Interest Rates and Stochastic Volatility by : Alexander van Haastrecht
Download or read book Pricing Long-Maturity Equity and FX Derivatives with Stochastic Interest Rates and Stochastic Volatility written by Alexander van Haastrecht and published by . This book was released on 2011 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we extend the stochastic volatility model of Schouml;bel and Zhu (1999) by including stochastic interest rates. Furthermore we allow all driving model factors to be instantaneously correlated with each other, i.e. we allow for a correlation between the instantaneous interest rates, the volatilities and the underlying stock returns. By deriving the characteristic function of the log-asset price distribution, we are able to price European stock options in closed-form by Fourier inversion. Furthermore we present a Foreign Exchange generalization and show how the pricing of Forward-starting options like cliquets can be performed. Additionally we discuss the practical implementation of these new models.
Book Synopsis Financial Mathematics, Derivatives and Structured Products by : Raymond H. Chan
Download or read book Financial Mathematics, Derivatives and Structured Products written by Raymond H. Chan and published by Springer Nature. This book was released on with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Jumps and Stochastic Volatility by : David S. Bates
Download or read book Jumps and Stochastic Volatility written by David S. Bates and published by . This book was released on 1993 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: An efficient method is developed for pricing American options on combination stochastic volatility/jump-diffusion processes when jump risk and volatility risk are systematic and nondiversifiable, thereby nesting two major option pricing models. The parameters implicit in PHLX-traded Deutschemark options of the stochastic volatility/jump- diffusion model and various submodels are estimated over 1984-91, and are tested for consistency with the $/DM futures process and the implicit volatility sample path. The parameters implicit in options are found to be inconsistent with the time series properties of implicit volatilities, but qualitatively consistent with log- differenced futures prices. No economically significant implicit expectations of exchange rate jumps were found in full-sample estimation, which is consistent with the reduced leptokurtosis of $/DM weekly exchange rate changes over 1984-91 relative to earlier periods.
Download or read book Volatility written by Robert A. Jarrow and published by . This book was released on 1998 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a number of authors, this text is aimed at market practitioners and applies the latest stochastic volatility research findings to the analysis of stock prices. It includes commentary and analysis based on real-life situations.
Book Synopsis Foreign Exchange Option Pricing by : Iain J. Clark
Download or read book Foreign Exchange Option Pricing written by Iain J. Clark and published by John Wiley & Sons. This book was released on 2011-10-20 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Stochastic Interest Rate Modeling With Fixed Income Derivative Pricing (Third Edition) by : Nicolas Privault
Download or read book Stochastic Interest Rate Modeling With Fixed Income Derivative Pricing (Third Edition) written by Nicolas Privault and published by World Scientific. This book was released on 2021-09-02 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the mathematics of stochastic interest rate modeling and the pricing of related derivatives, based on a step-by-step presentation of concepts with a focus on explicit calculations. The types of interest rates considered range from short rates to forward rates such as LIBOR and swap rates, which are presented in the HJM and BGM frameworks. The pricing and hedging of interest rate and fixed income derivatives such as bond options, caps, and swaptions, are treated using forward measure techniques. An introduction to default bond pricing and an outlook on model calibration are also included as additional topics.This third edition represents a significant update on the second edition published by World Scientific in 2012. Most chapters have been reorganized and largely rewritten with additional details and supplementary solved exercises. New graphs and simulations based on market data have been included, together with the corresponding R codes.This new edition also contains 75 exercises and 4 problems with detailed solutions, making it suitable for advanced undergraduate and graduate level students.
Book Synopsis Martingale Methods in Financial Modelling by : Marek Musiela
Download or read book Martingale Methods in Financial Modelling written by Marek Musiela and published by Springer Science & Business Media. This book was released on 2006-01-20 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of a successful, well-established book that provides the reader with a text focused on practical rather than theoretical aspects of financial modelling Includes a new chapter devoted to volatility risk The theme of stochastic volatility reappears systematically and has been revised fundamentally, presenting a much more detailed analyses of interest-rate models
Book Synopsis Currency Derivatives by : David F. DeRosa
Download or read book Currency Derivatives written by David F. DeRosa and published by John Wiley & Sons. This book was released on 1998-09-07 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)
Book Synopsis Testing a Jump-Diffusion Stochastic Interest Rates Model in Currency Options Markets by : Ako Doffou
Download or read book Testing a Jump-Diffusion Stochastic Interest Rates Model in Currency Options Markets written by Ako Doffou and published by . This book was released on 2016 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because the publication of quot;Advances in Futures and Options Researchquot; has been discontinued, a revised version of this paper was published in the Journal of Risk. This paper examines the ability of the jump-diffusion models to explain systematic deviations in implicit distributions from the benchmark assumptions of lognormality. jumps that occur in the spot exchange rate due to supply and demand fluctuations in the currency market impose distributions for spot and futures prices that have degrees of skewness and kurtosis different from those of the lognormal. Merton (1976) model allows for diversifiable jump risk. Bates (1991,1996) model allows the jump exchange risk to be systematic and derives the correct functional form of the market price of risk. Recent transactions data on futures and futures options are used to test the jump-diffusion stochastic interest rates model developed by Doffou and Hilliard (1999a), as well as Bates' (1991,1996) and Black's (1976) models to price out-of-sample options in a British pound, German mark, and Japanese yen futures market. The tests results show that the jump-diffusion stochastic interest rates model performs better than Bates's model which in turn performs better than Black's model.
Book Synopsis On Cross-Currency Models with Stochastic Volatility and Correlated Interest Rates by : Lech A. Grzelak
Download or read book On Cross-Currency Models with Stochastic Volatility and Correlated Interest Rates written by Lech A. Grzelak and published by . This book was released on 2014 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: We construct multi-currency models with stochastic volatility and correlated stochastic interest rates with a full matrix of correlations. We first deal with a foreign exchange (FX) model of Heston-type, in which the domestic and foreign interest rates are generated by the short-rate process of Hull-White [HW96]. We then extend the framework by modeling the interest rate by a stochastic volatility displaced-diffusion Libor Market Model [AA02], which can model an interest rate smile. We provide semi-closed form approximations which lead to efficient calibration of the multi-currency models. Finally, we add a correlated stock to the framework and discuss the construction, model calibration and pricing of equity-FX-interest rate hybrid payoffs.
Book Synopsis Generic Pricing of FX, Inflation and Stock Options Under Stochastic Interest Rates and Stochastic Volatility by : Alexander van Haastrecht
Download or read book Generic Pricing of FX, Inflation and Stock Options Under Stochastic Interest Rates and Stochastic Volatility written by Alexander van Haastrecht and published by . This book was released on 2009 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider the pricing of FX, inflation and stock options under stochastic interest rates and stochastic volatility, for which we use a generic multi-currency framework. We allow for a general correlation structure between the drivers of the volatility, the inflation index, the domestic (nominal) and the foreign (real) rates. Having the flexibility to correlate the underlying FX/Inflation/Stock index with both stochastic volatility and stochastic interest rates yields a realistic model, which is of practical importance for the pricing and hedging of options with a long-term exposure. We derive explicit valuation formulas for various securities, such as vanilla call/put options, forward starting options, inflation-indexed swaps and inflation caps/floors. These vanilla derivatives can be valued in closed-form under Schobel and Zhu (1999) stochastic volatility, whereas we devise an (Monte Carlo) approximation in the form of a very effective control variate for the general Heston (1993) model. Finally, we numerical investigate the quality of this approximation and consider a calibration example to FX market data.
