Volatility in the foreign currency futures market

We examine the volatility implications of around-the-clock foreignexchange trading with transaction data on futures contractsfrom the Chicago Mercantile Exchange and the London InternationalFinancial Futures Exchange. We find higher U.S.-European andU.S.-Japanese exchange-rate volatilities during U.S. tradinghours and higher European cross-rate volatilities during Europeantrading hours. While the disclosure of private information throughtrading may partly explain these volatility patterns, we concludethat the increased volatility is more likely driven by macroeconomicnews announcements. An analysis of inter- and intraday dataalso reveals that volatility increases at times that coincidewith the release of U.S. macroeconomic news.     

Conditional volatility persistence and volatility spillovers in the foreign exchange market

I investigate the magnitudes and determinants of volatility spillovers in the foreign exchange (FX) market, using realized measures of volatility and heterogeneous autoregressive (HAR) models. I confirm both meteor shower effects (i.e., inter-regional volatility spillovers) and heat wave effects (i.e., intra-regional volatility spillovers) in the FX market. Furthermore, I find that conditional volatility persistence is the dominant channel linking the changing market states of each region to future volatility and its spillovers. Market state variables contribute to more than half of the explanatory power in predicting conditional volatility persistence, with the model that calibrates volatility persistence and spillovers conditionally on market states performing statistically and economically better. The utilization of market state variables significantly extends our understanding of the economic mechanisms of volatility persistence and spillovers and sheds new light on econometric techniques for volatility modeling and forecasting.     

Efficiency of the foreign currency options market

This paper provides a new test of the efficiency of the currency option markets for four major currencies — British Pound, Euro, Swiss Frank and Japanese Yen vis-à-vis the U.S. dollar. The approach is to simulate trading strategies to see if the well-accepted no-arbitrage condition of put–call parity (PCP) holds in a trading environment. Augmented Dickey–Fuller and Philips–Perron tests are used to check for the presence of unit roots in the data, followed by a formal econometric analysis. The results indicate that the most currency option prices do not violate the PCP conditions, when transaction costs are allowed for.     

Impact of stock market trading on currency market volatility spillovers

This research aims to detect the volatility linkages among various currencies during operating and non-operating hours of three major stock markets (Tokyo, London and New York) by employing bivariate VAR-BEKK-GARCH model in selected currency pairs. In particular, the aim is to analyze whether the major stock markets have a differential impact on volatility linkages in currency markets. The results indicate that volatility linkages in intraday are far stronger then in daily results. One remarkable result is that rather than major currencies, some minor and exotic currencies play a leading role in volatility transmission during trading hours of major stock markets.     

Information and volatility links in the foreign exchange market

We apply the trading model of Fleming et al (1998 ). to a number of currency markets. The model posits that two markets can have common volatility structures as a result of receiving common information and from cross‐hedging activity where a position in one currency is used to hedge risk in a position taken in another. Our results imply that the model is effective in identifying common information flows and volatility spillovers in the currency markets and that some of these effects are lost when simply examining raw correlations. A series of specification tests of the 21 bivariate systems that are examined provides support for the trading model in the foreign exchange context.     

The use of foreign currency derivatives and firm market value

This article examines the use of foreign currency derivatives(FCDs) in a sample of 720 large U.S. nonfinancial firms between1990 and 1995 and its potential impact on firm value. UsingTobin's Q as a proxy for firm value, we find a positive relationbetween firm value and the use of FCDs. The hedging premiumis statistically and economically significant for firms withexposure to exchange rates and is on average 4.87% of firm value.We also find some evidence consistent with the hypothesis thathedging causes an increase in firm value.     

Arbitrage tests of the efficiency of the foreign currency options market

In this paper the lower boundary, excercise price, and put-call parity conditions for foreign currency options are subjected to empirical testing. The tests are directed towards the examination of the hypothesis that the foreign currency option market is efficient. The evidence in the ex-post tests is inconsistent with this hypothesis since a large number of violations of theoretical conditions are found in the data.     

Put-call parity revisited: intradaily tests in the foreign currency options market

We test exchange-traded (PHLX) German mark options for conformance to put-call parity (PCP). Puts and calls are matched to the nearest minute, and the relative impact of competing spot exchange rate sources (Reuters vs. Telerate) is assessed. We find that PCP usually holds (roughly 96% of put-call pairs), with the exception of a notable incident in the European options pits. In those instances in which PCP is violated, we find sharp intradaily and intraweekly seasonalities for American options, with disproportionate PCP violations occurring during the relatively light trading periods in early evening and on Fridays. We also conclude that the Telerate prices as recorded by the PHLX are not as accurate as the Reuters exchange rates provided by Olsen and Associates, probably because of time lags in the Telerate data.     

Biases in option prices : Evidence from the foreign currency option market

This paper examines a European call model of option pricing over a data set which does not suffer from the early exercise problems that have plagued earlier studies of call options on common stocks. We specifically examine a data set of American call prices on spot foreign exchange for which it is plausible to apply an adjusted version of the Garman-Kohlhagen (1983) and Grabbe (1983) European call option model. We make adjustments for interest rate risk and find that the model is nearly unbiased in the valuation of foreign currency options. We conclude that the Geske-Roll (1984) conjecture about dividend uncertainty creating biases in stock option prices holds analogously in the foreign currency option market. Interest rate differential risk (analogous to risky dividends) thus appears to be an important element in the valuation of foreign currency options.     

A multivariate stochastic volatility model with applications in the foreign exchange market

The main objective of this paper is to study the behavior of a daily calibration of a multivariate stochastic volatility model, namely the principal component stochastic volatility (PCSV) model, to market data of plain vanilla options on foreign exchange rates. To this end, a general setting describing a foreign exchange market is introduced. Two adequate models—PCSV and a simpler multivariate Heston model—are adjusted to suit the foreign exchange setting. For both models, characteristic functions are found which allow for an almost instantaneous calculation of option prices using Fourier techniques. After presenting the general calibration procedure, both the multivariate Heston and the PCSV models are calibrated to a time series of option data on three exchange rates—USD-SEK, EUR-SEK, and EUR-USD—spanning more than 11 years. Finally, the benefits of the PCSV model which we find to be superior to the multivariate extension of the Heston model in replicating the dynamics of these options are highlighted.     

An analysis of asymmetry in foreign currency exposure of the Australian equities market

Using both daily and monthly data, the authors: (a) analyse the extra-market component of foreign exchange exposure of the Australian equities market using the Australian/US exchange rate factor return in an augmented market model; and (b) use a dummy variable specification to model the potential asymmetric effect induced by non-linear hedging strategies, such as using currency options, for the period 1988–1996. Overall, the results are mixed. The following are found: (i) stronger evidence of foreign exchange exposure in the analysis employing daily data; (ii) when using daily data, a stronger lagged response than a contemporaneous response is observed; (iii) some evidence of asymmetry; and (iv) evidence of significant exchange rate exposures of the predicted sign in several industries. Further, the findings using monthly data are less significant than those using daily data.     

The dynamic relationship of volatility,volume, and market depth in currency futures markets

This study examines the dynamic interactions among return volatilities, volume, and market depth for five currency futures markets. We use vector autoregressive analysis (VAR) to identify not only the nature of these relations but also the direction and speed of the information flow between variables. We find that return volatility is subject to strong reversal effects from trading volume and market depth. The results also indicate that the volatility appears to have predictive power on volume but not on market depth. Furthermore, this study finds that volume and depth are not endogenously determined, as their lead–lag relationship is asymmetrical. We also observe an increasing trend of integration between offshore and domestic information that affects the movement of currency futures prices.     

Local volatility of volatility for the VIX market

Following a trend of sustained and accelerated growth, the VIX futures and options market has become a closely followed, active and liquid market. The standard stochastic volatility models—which focus on the modeling of instantaneous variance—are unable to fit the entire term structure of VIX futures as well as the entire VIX options surface. In contrast, we propose to model directly the VIX index, in a mean-reverting local volatility-of-volatility model, which will provide a global fit to the VIX market. We then show how to construct the local volatility-of-volatility surface by adapting the ideas in Carr (Local variance gamma. Bloomberg Quant Research, New York, 2008) and Andreasen and Huge (Risk Mag 76–79, 2011) to a mean-reverting process.     

Public information releases, private information arrival and volatility in the foreign exchange market

This paper estimates the impact of market activity and news on the volatility of returns in the exchange market for Japanese Yen and US dollars. We examine the effects of news on volatility before, during and after news arrival, using three categories of news. Market activity is proxied by quote arrival, separated into a predictable seasonal component and an unexpected component. Results indicate that both components of market activity, as well as news releases, affect volatility levels. We conclude that both private information and news effects are important determinants of exchange rate volatility. Our finding that unexpected quote arrival positively impacts foreign exchange rate volatility is consistent with the interpretation that unexpected quote arrival serves as a measure of informed trading. Corroborating this interpretation is regression analysis, which indicates that spreads increase in the surprise component of the quote arrival rate, but not in the expected component. The estimated impact of a unit increase in unexpected quote arrival and the range of values observed for this variable imply an important volatility conditioning role for informed trading.     

Estimating the bid-ask spread in a heteroskedastic market: The case of foreign currency futures

Because the bid-ask spread often defies direct measurement, a serial covariance-based approach is frequently used to estimate it. We develop a new serial covariance estimator that exploits the relation of time-varying volatility to trading activity to obtain more precise estimates. The performance of Roll's (1984) estimator and the new estimator are compared using intraday data for four foreign currency futures. The new estimator finds currency futures spreads to be of economic significance—usually two to three ticks, or $25.00 to $37.50 per contract. A distinct maturity effect is present, with the lowest spreads occurring one to three months from expiration. While no evidence is found that the intraday spread changes near closing, the spread is larger near opening for some contracts four to six months from expiration.The University of Texas at Austin. We appreciate the comments of Katherine Daigle, Scott Irwin, Dan Quan, Barry Schachter, workshop participants at the University of Houston, and three anonymous referees. Part of this work was completed while Laux was visiting the Commodity Futures Trading Commission, and the support of the Commission is appreciated.     

The effects of trading activity on market volatility

The paper re-examines the question of excessive implied persistence of volatility estimates when GARCH type models are used. Ten actively traded US stocks are considered and as already established in the literature, when volume traded is inserted in the GARCH (1, 1) or (EGARCH 1, 1) models for returns, the estimated persistence is decreased. Since volume is affected also by within-the-day price movements and hence is not weakly exogenous relative to returns, alternative proxies for trading activities are suggested. It is concluded that the difference between the opening price and the closing price of the previous day accounts also for most of the persistence in the autoregressive conditional heteroskedasticity.     

FX volatility forecasts and the informational content of market data for volatility

The paper examines the medium-term forecasting ability of several alternative models of currency volatility. The data period covers more than eight years of daily observations, January 1991 to March 1999, for the spot exchange rate, 1- and 3-month volatility of the DEM/JPY, GBP/DEM, GBP/USD, USD/CHF, USD/DEM and USD/JPY. Comparing with the results of ‘pure’ time series models, the reported work investigates whether market implied volatility data can add value in terms of medium-term forecasting accuracy. This is done using data directly available from the marketplace in order to avoid the potential biases arising from ‘backing out’ volatility from a specific option pricing model. On the basis of the over 34 000 out-of-sample forecasts produced, evidence tends to indicate that, although no single volatility model emerges as an overall winner in terms of forecasting accuracy, the ‘mixed’ models incorporating market data for currency volatility perform best most of the time.     

Pricing currency options in the presence of time-varying volatility and non-normalities

A new framework is developed for pricing currency options in the case where the distribution of exchange rate returns exhibits time-varying volatility and non-normalities. A forward-looking volatility structure is adopted whereby volatility is expressed as a function of currency returns over the life of the contract. Time to maturity and moneyness effects in volatility are also modelled. An analytical solution for the option price is obtained up to a one-dimensional integral in the real plane, enabling option prices to be computed efficiently and accurately. The proposed modelling framework is applied to European currency call options for the UK pound written on the US dollar, over the period October 1997–June 1998. The results show that pricing higher order moments improves both within-sample fit and out-of-sample prediction of observed option prices, as well as having important implications for constructing hedged portfolios and managing risk.     

Herding and market volatility

In this paper, we explore the impact of investor herding behavior on stock market volatility. We adopt a direct herding measure based on the variation of cross-sectional stock betas. The measure can be readily separated into positive and adverse components, whereby investors herd towards and away from the market portfolio, respectively. Using A-shares listed in the Chinese equity market from August 2005 to March 2021, we show that the market volatility is Granger caused by the measure, and that there exists an asymmetric effect between positive and adverse herding on volatility. Furthermore, we provide robust evidence that the information contained in the herding measure helps generate significantly improved volatility forecasts and add economic value to investors. Our paper not only contributes to the volatility forecasting literature but also advances our understanding of herding in the equity market.     

Day of the week effect on foreign exchange market volatility: Evidence from Turkey

This paper assesses the day of the week effect of the daily depreciation of the Turkish lira (TL) against the US dollar (USD) and its volatility. The empirical evidence from Turkey presented here suggests that Thursdays are associated with higher and Mondays with lower depreciation rates compared to those of Wednesdays. Moreover, Mondays and Tuesdays are associated with higher volatility than Wednesdays.