Evaluating Interest Rate Covariance Models Within a Value-at-Risk Framework

A key component of managing international interest rate portfoliosis forecasts of the covariances between national interest ratesand accompanying exchange rates. How should portfolio managerschoose among the large number of covariance forecasting modelsavailable? We find that covariance matrix forecasts generatedby models incorporating interest-rate level volatility effectsperform best with respect to statistical loss functions. However,within a value-at-risk (VaR) framework, the relative performanceof the covariance matrix forecasts depends greatly on the VaRdistributional assumption, and forecasts based just on weightedaverages of past observations perform best. In addition, portfoliovariance forecasts that ignore the covariance matrix generatethe lowest regulatory capital charge, a key economic decisionvariable for commercial banks. Our results provide empiricalsupport for the commonly used VaR models based on simple covariancematrix forecasts and distributional assumptions.     

Optimal informed trading in the foreign exchange market

We formulate a market microstructure model of exchange determination that we employ to investigate the impact of informed trading on exchange rates and on foreign exchange (FX) market conditions. With our formulation, we show how strategic informed agents influence exchange rates via both the portfolio-balance and information effects. We outline the connection which exists between the private value of information, market efficiency, liquidity and exchange rate volatility. Our model is also consistent with recent empirical research on the micro-structure of FX markets.     

An Examination of Uncovered Interest Rate Parity in Segmented International Commodity Markets

We examine the effect of segmented commodity markets on the relation between forward and future spot exchange rates in a dynamic economy. We calculate the slope coefficient in our theoretical economy from regressing exchange rate changes on forward premia. With reasonable parameter values, the slope coefficient is less than unity. However, even for extreme parameters the slope is not less than zero, as found in the data. A negative slope coefficient in a nominal version of the model requires the covariance between monetary shocks and relative output shocks to be significantly negative, in contrast to the covariance in the data.     

A discrete and a continuous-time model based on a technical trading rule

In this article we propose a model in discrete and continuoustime that incorporates explicitly a technical trading rule inthe specification of the volatility. The proposed discrete-timemodel is an alternative to GARCH-type processes. We derive conditionsfor the covariance and strict stationarity of the discrete-timeprocess and we study the estimation and inference problems.We also analyze the conditions under which the discrete-timeprocess converges in distribution to a diffusion process. Toillustrate the proposed model and compare it with the GARCHspecification, we analyze the daily closing stock prices oftwo major U.S. companies (Microsoft and Oracle), two stock indices(DAX and NASDAQ) and two U.S. Dollar exchange rates (Euro andSterling)     

Pricing currency risk in the stock market: Evidence from Finland and Sweden 1970-2009

We investigate the role of currency risk on stock markets in two interlinked Nordic countries exhibiting a gradual move from fixed to floating exchange rates. We apply the Ding and Engle (2001) covariance stationary specification in a multivariate GARCH-M setup to test a conditional international asset pricing model. Using a sample period from 1970 to 2009, we find that the currency risk is priced in both stock markets, and that the price and the risk premium are lower after the floatation of the currencies, especially for Finland. We also find the cross-country exchange rate shock from Finland to affect the price of currency risk in Sweden, but not vice versa. Finally, we discuss some of the potential issues in applying multivariate GARCH-M specifications in tests of asset pricing models.     

The anticipated and concurring effects of the EMU: exchange rate volatility, institutions and growth

Reduced exchange rate volatility and higher and less heterogeneous quality of institutional rules and macroeconomic policies are two of the main (anticipated and concurring) effects expected from a currency union.In this paper, we measure the magnitude of these two effects for the Eurozone countries looking at real effective exchange rates (REER) and at different indicators of quality of institutional rules and macroeconomic policies (QIRMP). We find that the first effect is much stronger than the second when we compare relative changes for Eurozone countries and the rest of the world in the relevant period.We further evaluate the impact of both effects on economic growth on a larger sample of countries. Our findings show that both have significant impact on levels (more robust) and on rates of growth (weaker) of per capita GDP.     

Price and volatility spillovers between interest rate and exchange value of the US dollar

In this paper, the dynamic relationships between interest rate and exchange value of the US dollar are studied via a multivariate Exponential Generalised Autoregressive Conditional Heteroskedasticity (EGARCH) model. In terms of price changes, movements of interest rates have positive effects on movements of exchange rates. However, changes in exchange rates do not explain changes in interest rates. Nevertheless, there exists volatility spillovers between the two markets, indicating that their second moments are related. Overall evidence suggests that these two markets have short-term dynamic interactions. The existence of volatility spillovers also suggests that the relationships between these two economic variables are not necessarily linear.     

Was It Real? The Exchange Rate-Interest Differential Relation over the Modern Floating-Rate Period

In this paper, we explore the relationship between real exchange rates and real interest rate differentials in the United States, Germany, Japan, and the United Kingdom. Contrary to theories based on the joint hypothesis that domestic prices are sticky and monetary disturbances are predominant, we find little evidence of a stable relationship between real interest rates and real exchange rates. We consider both in-sample and out-of-sample tests. One hypothesis that is consistent with our findings is that real disturbances (such as productivity shocks) may be a major source of exchange rate volatility.     

Keep on smiling? The pricing of Quanto options when all covariances are stochastic

The paper introduces a model for the joint dynamics of asset prices which can capture both a stochastic correlation between stock returns as well as between stock returns and volatilities (stochastic leverage). By relying on two factors for stochastic volatility, the model allows for stochastic leverage and is thus able to explain time-varying slopes of the smiles. The use of Wishart processes for the covariance matrix of returns enables the model to also capture stochastic correlations between the assets. Our model offers an integrated pricing approach for both Quanto and plain-vanilla options on the stock as well as the foreign exchange rate. We derive semi-closed form solutions for option prices and analyze the impact of state variables. Quanto options offer a significant exposure to the stochastic covariance between stock prices and exchange rates. In contrast to standard models, the smile of stock options, the smile of currency options, and the price differences between Quanto options and plain-vanilla options can change independently of each other.     

An empirical study of portfolio-balance and information effects of order flow on exchange rates

We propose a simple structural model of exchange rate determination which is inspired by the analytical framework recently forward by Bacchetta and van Wincoop (2006) and allows us to disentangle the portfolio-balance and information effects of order flow on exchange rates. We estimate this model employing an innovative transaction data-set that covers all indirect foreign exchange transactions completed in the USD/EUR market via EBS and Reuters between August 2000 and January 2001. Our results indicate that the strong contemporaneous correlation between order flow and exchange rates is largely due to portfolio-balance effects. This result also appears to carry through the four FX intervention events that appear in our sample.     

Expected returns, risk premia, and volatility surfaces implicit in option market prices

This article presents a pure exchange economy that extends Rubinstein (1976) to show how the jump-diffusion option pricing model of Merton (1976) is altered when jumps are correlated with diffusive risks. A non-zero correlation between jumps and diffusive risks is necessary in order to resolve the positively sloped implied volatility term structure inherent in traditional jump diffusion models. Our evidence is consistent with a negative covariance, producing a non-monotonic term structure. For the proposed market structure, we present a closed form asset pricing model that depends on the factors of the traditional jump-diffusion models, and on both the covariance of the diffusive pricing kernel with price jumps and the covariance of the jumps of the pricing kernel with the diffusive price. We present statistical evidence that these covariances are positive. For our model the expected stock return, jump and diffusive risk premiums are non-linear functions of time.     

Asymmetry in the effects of economic fundamentals on rising and falling exchange rates

Empirical research provides evidence for exchange rates overreaction to changes in economic fundamentals over a short run, but convergence in a long run. In this research we use statistical method developed by Cox [Cox, D.R., “Regression models and life-tables,” Journal of the Royal Statistical Society. Series B (Methodological), Vol. 34, Iss. 2 (1972), 187-220.] to examine the differences in the effects of local economic fundamentals on the probability of occurrence of extreme fluctuations in exchange rates over time periods of rising and falling exchange rates. We identify an extreme fluctuation as a 10% decrease or increase in exchange rate over a three month period and 20% over a one year period. We find asymmetry in the effects of economic fundamentals on exchange rates (eight countries' exchange rates quoted as f/$) during time periods of rising and falling exchange rates: the probability of extreme fluctuation is greater during time periods of rising exchange rates as compared to falling.     

Threshold cointegration,nonlinearity, and frequency domain causality relationship between stock price and Turkish Lira

Modelling complex asymmetric effects and non-linear relationships between exchange rate and stock prices has challenged classical econometric methods. This study contributes to the relative literature in the following distinct ways. First, we follow a variety of econometric approaches in order to characterize the complex dynamic co-movements between Turkish stock market and exchange rate from January 2003 to December 2018. Secondly, we show that the evidence for asymmetric threshold cointegration in Turkey’s financial market can be hidden by following linear time series methodologies. Thirdly, it is also worth noting that the real effective exchange rate, USD-Turkish lira exchange rates, money supply and interest rates have large predictive power for stock price fluctuations at various frequencies. Building on these insights, we claim that asymmetry (nonlinearity) is particularly important in Turkey’s financial market because it shows the need for a new pattern of policy measures to prevent financial market crisis risk in Turkey.     

Asset pricing and foreign exchange risk

According to the International Capital Asset Pricing Model (ICAPM), the covariance of assets with foreign exchange currency returns should be a risk factor that must be priced when the purchasing power parity is violated. The goal of this study is to re-examine the relationship between stock returns and foreign exchange risk. The novelties of this work are: (a) a data set that makes use of daily observations for the measurement of the foreign exchange exposure and volatility of the sample firms and (b) data from a Eurozone country.The methodology we make use in reference to the estimation of the sensitivity of each stock to exchange rate movements is that it allows regressing stock returns against factors controlling for market risk, size, value, momentum, foreign exchange exposure and foreign exchange volatility. Stocks are then classified according to their foreign exchange sensitivity portfolios and the return of a hedge (zero-investment) portfolio is calculated. Next, the abnormal returns of the hedge portfolio are regressed against the return of the factors. Finally, we construct a foreign exchange risk factor in such manner as to obtain a monotonic relation between foreign exchange risk and expected returns.The empirical findings show that the foreign exchange risk is priced in the cross section of the German stock returns over the period 2000-2008. Furthermore, they show that the relationship between returns and foreign exchange sensitivity is nonlinear, but it takes an inverse U-shape and that foreign exchange sensitivity is larger for small size firms and value stocks.     

Using simulated currency rainbow options to evaluate covariance matrix forecasts

In the literature one can find a number of different methods to evaluate covariance matrix forecasts, and in choosing among these one has to consider what the actual purpose of the forecasts is. In this paper we look at portfolios of currency rainbow options and how simulated trading of such options portfolios can be used as a preference free evaluation measure for the forecasted covariance matrix. The main advantage of using portfolios instead of single options, in addition to making it possible to study multivariate problems of arbitrary size, is the possibility it gives to rely on shorter data series. We apply the methodology to a system of four US dollar exchange rates and compare the relative performance of different forecasting models, among them the fairly new Orthogonal GARCH model.     

Clustering and psychological barriers in exchange rates

Contemporary press frequently attaches significance with specific numerical values in exchange rates. This research empirically tests for the presence of clustering and “psychological barriers” (transgressional effects) on various exchange rates involving the Australian dollar. Overall, we find a widespread clustering effect, which accordingly means there is partial information content in the actual numbers of the exchange rates themselves. Furthermore, there is some, but not strong, evidence that perceived “psychological barriers” do exist. Surprisingly, the location and form of both the clustering and transgressional effects and hence the information content differ across different exchange rates and in most instances, they are not in the expected direction.     

Does oil price have similar effects on the exchange rates of BRICS?

Motivated by the crucial status of oil price and exchange rates in world finance and economy, we apply daily data from August 2005 to February 2019 to investigate the impact of oil price shocks on the exchange rate of BRICS countries. This paper first adopts a new framework and EEMD method to decompose oil shocks and exchange rate series, respectively. With these econometric methods, the final research variables in this paper are constructed, including two types of oil shocks and three kinds of exchange rate series. The ARDL approach and VAR model are then employed to detect the influence of oil shocks on exchange rates in different frequencies, corresponding to the stationarity of series. The evidence, based on the original exchange rate series reveals that two oil price shocks can produce different effects on net oil-importing countries and net oil-exporting countries, while the results from different frequencies show that exchange rates will have a significant response to oil shocks only at a high frequency. It is worth noting that China is a unique case in BRICS, the relations between its exchange rate and oil price shocks is far insignificant than that of the other countries.     

Financial factors in foreign direct investments: A dynamic analysis of international data

In contrast to existing empirical foreign direct investment (FDI) studies that examine the static effects of strategic or real economic variables, this paper focuses on the impacts of financial variables on FDI outflows for four largest industrial countries using dynamic time series methods. The results show that FDI outflows are non-stationary but have a long-run cointegrating relationship with real exchange rates. In addition, there are causal effects of exchange rates on direct investments in the short run. Multivariate cointegration analysis shows the significance of financial channels such as cost of capital and real wealth through which the real exchange rate effects operate. The effects of financial channels are comparable to those of the real wage rate channel. Overall, the present paper provides significant and methodologically consistent international evidence for dynamic interactions between FDIs and financial variables.     

US exports and time-varying volatility of real exchange rate

The effect of exchange rate volatility on trade is a controversial issue in international economics. Despite a widespread view that an increase in exchange rates volatility reduces trade, there is no real consensus on the direction or the size of the exchange rate volatility–trade level linkages. This paper investigates the relationship between US trade volume and exchange rate volatility using cointegration and error-correction models. We use conditional variances of the real effective exchange rate (REER) series modeled as a generalized autoregressive conditional heteroskedastic (GARCH) process to measure the exchange rate volatility. The cointegration results indicate a significant negative relationship between US export volume and exchange rate volatility. The short-run dynamics of the relationship, however, show that the effects of both real exchange rates and exchange rate volatility are insignificant.     

Foreign exchange intervention and equilibrium real exchange rates

Monetary authorities intervene in the currency markets in order to pursue a monetary rule and/or to smooth exchange rate volatility caused by speculative attacks. In the present paper we investigate for possible intervention effects on the volatility of nominal exchange rates and the estimated equilibrium behaviour of real exchange rates. The main argument of the paper is that omission of intervention effects – when they are significant – would bias the ability to detect any PPP-based behaviour of the real exchange rates in the long run. Positive evidence for this argument comes from the experience of six Central and Eastern European economies, whose exchange markets are characterised by frequent interventions.