This paper develops a model for valuing options on a currency which is maintained within a band. The starting point of our model is the well known Krugman model for exchange-rate behavior within a target zone. Results from model runs provide insight into evidence reported by other authors of mispricing of currency options by extensions of the Black-Scholes model.

This paper extends the Krugman target zone model by including a realignment mechanism. Various properties of that realignment mechanism are discussed. The movement of the exchange rate is governed both by a Wiener process on fundamental and by a Poisson jump process with endogenous realignment size. The realignment mechanism is such that (except in cases where a speculative attack occurs) no jump in fundamental is needed to accompany the jump in the exchange rate. A risk neutral valuation of currency options is constructed. Some properties of option values under realignment risk are illustrated by numerical results.

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.

This paper develops a model for valuing options on a currency which is maintained within a band. The starting point of our model is the well known Krugman model for exchange-rate behavior within a target zone. Results from model runs provide insight into evidence reported by other authors of mispricing of currency options by extensions of the Black-Scholes model.

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. Contents:Learning from Currency Option Markets: An Overview (Z-H Chen)An Introduction to Option Pricing Theory (P G Zhang)An Introduction to Currency Option Markets (A M Malz)The Implied Volatility in Prices of Foreign Currency Options (L O Scott)Learning from the Term Structure of Implied Volatility in Foreign Exchange Options (J M Campa & P H K Chang)Options and the Currency Risk Premium (R K Lyons)Option Prices and the Probability Distribution of Exchange Rates (A M Malz)The ERM Realignment Probabilities: Estimates Using Option Prices (A M Malz)Options on Exchange Rates in Target Zones (J M Campa & P H K Chang)Inferring Market Expectations Using Currency Option Price and Volume Data (Z-H Chen & C A E Goodhart) Readership: Graduate students in economics & finance, academic researchers, central bank staff and private industry financiers. keywords:

This paper analyzes whether and how central banks can use currency options to lower exchange rate volatility and maintain (implicit) target zones in foreign exchange markets. It argues that selling rather than buying options will result in market makers dynamically hedging their long option exposure in a stabilizing manner, consistent with the first objective. Selling a “strangle” allows a central bank to increase the credibility of its commitment to a target zone, and could have a lower expected cost than spot market interventions. However, this strategy also exposes the central bank to an unlimited loss potential.

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.