calculating and using second order accurate solutions of discrete time dynamic equilibrium models we describe an algorithm for calculating second order approximations to the solutions to nonlinear stochastic rational expectations models the paper also explains methods for using such an approximate solution to generate forecasts simulated time paths for the model and evaluations of expected welfare differences across different versions of a model the paper gives conditions for local validity of the approximation that allow for disturbance distributions with unbounded support and allow for non stationarity of the solution process

inferring future volatility from the information in implied volatility in eurodollar options a new approach we study the information content of implied volatility from several volatility specifications of the heath jarrow morton 1992 hjm models relative to popular historical volatility models in the eurodollar options market the implied volatility from the hjm models explains much of the variation of realized interest rate volatility over both daily and monthly horizons the implied volatility dominates the garch terms the glosten et al 1993 type asymmetric volatility terms and the interest rate level however it cannot explain that the impact of interest rate shocks on the volatility is lower when interest rates are low than when they are high article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

openness and optimal monetary policy abstract we show that the composition of international trade has important implications for the optimal volatility of the exchange rate above and beyond the size of trade flows using an analytically tractable small open economy model we characterize the impact of the trade composition on the policy trade off and on the role played by the exchange rate in correcting for price misalignments contrary to models where openness can be summarized by the degree of home bias we find that openness can be a poor proxy of the welfare impact of alternative monetary policies using input output data for 25 countries we document substantial differences in the import and non tradable content of final demand components and in the role played by imported inputs in domestic production the estimates are used in a richer small open economy dsge model to quantify the loss from an exchange rate peg relative to the ramsey policy conditional on the composition of imports we find that the main determinant of the losses is the share of non traded goods in final demand

multivariate term structure models with level and heteroskedasticity effects abstract the paper introduces and estimates a multivariate level garch model for the long rate and the term structure spread where the conditional volatility is proportional to the th power of the variable itself level effects and the conditional covariance matrix evolves according to a multivariate garch process heteroskedasticity effects the long rate variance exhibits heteroskedasticity effects and level effects in accordance with the square root model the spread variance exhibits heteroskedasticity effects but no level effects the level garch model is preferred above the garch model and the level model garch effects are more important than level effects the results are robust to the maturity of the interest rates

bivariate garch estimation of the optimal commodity futures hedge six different commodities are examined using daily data over two futures contract periods cash and futures prices for all six commodities are found to be well described as martingales with near integrated garch innovations bivariate garch models of cash and futures prices are estimated for the same six commodities the optimal hedge ratio ohr is then calculated as a ratio of the conditional covariance between cash and futures to the conditional variance of futures the estimated ohrs reveal that the standard assumption of a time invariant ohr is inappropriate for each commodity the estimated ohr path appears non stationary which has important implications for hedging strategies

spurious welfare reversals in international business cycle models several papers have documented spurious welfare reversals incompletemarkets economy produces a higher level of welfare than the completemarkets economy this paper first demonstrates how conventional linearization can generate approximation errors that can result in welfare reversals using a two country production economy we argue that spurious welfare reversals are not only possible but also plausible under reasonable values for model parameters this paper then proposes an approximation method that modifies the conventional linearization by a bias correction this method can be easily implemented and approximates welfare as accurately as a second order perturbation method

prospect theory and market quality abstract we study equilibrium trading strategies and market quality in an economy in which speculators display preferences consistent with prospect theory kahneman and tversky 39 tversky and kahneman 63 i e loss aversion and mild risk seeking in losses loss aversion risk seeking in losses induces speculators to trade less more and less cautiously more aggressively with their private information but also makes them less more inclined to purchase private information when it is costly in order to mitigate enhance their perceived risk of a trading loss we demonstrate that these forces have novel nontrivial state dependent effects on equilibrium market liquidity price volatility trading volume market efficiency and information production

exact likelihood computation for nonlinear dsge models with heteroskedastic innovations abstract phenomena such as the great moderation have increased the attention of macroeconomists towards models where shock processes are not log normal this paper studies a class of discrete time rational expectations models where the variance of exogenous innovations is subject to stochastic regime shifts we first show that up to a second order approximation using perturbation methods regime switching in the variances has an impact only on the intercept coefficients of the decision rules we then demonstrate how to derive the exact model likelihood for the second order approximation of the solution when there are as many shocks as observable variables we illustrate the applicability of the proposed solution and estimation methods in the case of a small dsge model

country portfolio dynamics this paper presents a general approximation method for characterizing timevarying equilibrium portfolios in a two country dynamic general equilibrium model the method can be easily adapted to most dynamic general equilibrium models it applies to environments in which markets are complete or incomplete and it can be used for models of any dimension moreover the approximation provides simple easily interpretable closed form solutions for the dynamics of equilibrium portfolios

modeling oil price us stock nexus a varma bekk agarch approach abstract this study adds to the existing literature on oil price us stock nexus in three ways first it employs the varma agarch model developed by mcaleer et al 2009 within the context of bekk framework using west texas intermediate wti and brent as proxies for oil market and s p stocks as a proxy for us stock market secondly it modifies the model to include endogenously determined structural break using the general structure for analyzing breaks with unit roots in perron 2006 third it uses the adopted model to compute optimal portfolio weight and hedge ratios between oil price and us stocks using different sample data based on the break date on average our empirical evidence suggests a significant positive return spillover from us stock market to oil market and bi directional shock spillovers between the two markets in addition there is significant own asymmetric shock effect in both markets while volatility spillover from oil market to stock market became pronounced after the break which coincides with the period of global economic slowdown similarly the results of portfolio management differ across the sample data more importantly we find that ignoring structural break when it exists may exaggerate hedging effectiveness

hedging with futures does anything beat the naive hedging strategy this paper investigates out of sample performance of the naive hedging strategy relative to that of the minimum variance hedging strategy in which the covariance parameters are estimated from 18 e

euro area inflation persistence in an estimated nonlinear dsge model abstract we estimate the approximate non linear solution of a small dsge model on euro area data using the conditional particle filter to compute the model likelihood our results are consistent with previous findings based on simulated data suggesting that this approach delivers sharper inference compared to the estimation of the linearised model we also show that the non linear model can account for richer economic dynamics the impulse responses to structural shocks vary depending on initial conditions selected within our estimation sample

computing second order accurate solutions for rational expectation models using linear solution methods this paper shows how to compute a second order accurate solution of a non linear rational expectation model using algorithms developed for the solution of linear rational expectation models the result is a state space representation for the realized values of the variables of the model this statespace representation can easily be used to compute impulse responses as well as conditional and unconditional forecasts

the asymmetric effects of uncertainty on inflation and output growth we study the effects of growth volatility and inflation volatility on average rates of output growth and inflation for post war us data our results suggest that increased growth uncertainty is associated with significantly lower average growth while higher inflation uncertainty is significantly negatively correlated with lower output growth and lower average inflation both inflation and growth display evidence of significant asymmetric response to positive and negative shocks of equal magnitude copyright 2004 john wiley sons ltd

optimal inflation with corporate taxation and financial constraints abstract how does inflation affect the investment decisions of financially constrained firms in the presence of corporate taxation inflation interacts with corporate taxation via the deductibility of i capital expenditures and ii interest payments on debt through the first channel inflation increases firms taxable profits and further distorts their investment decisions through the second expected inflation affects the effective real interest rate and stimulates investment when debt is collateralized the second effect dominates therefore present a tax advantage to debt financing positive long run inflation enhances welfare by mitigating or even eliminating the investment distortion

asymmetric predictability of conditional variances we show that there is an asymmetry in the predictability of the volatilities of large versus small firms using both univariate and multivariate arma garch m parameterizations we find that volatility surprises to large market value firms are important to the future dynamics of their own returns as well as the returns of smaller firms conversely however shocks to smaller firms have no impact on the behavior of either the mean or the variance of the returns of larger capitalization companies article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

stock prices and volume the authors undertake a comprehensive investigation of price and volume co movement using daily new york stock exchange data from 1928 to 1987 they adjust the data to take into account well known calendar effects and long run trends to describe the process they use a seminonparametric estimate of the joint density of current price change and volume conditional on past price changes and volume four empirical regularities are found 1 positive correlation between conditional volatility and volume 2 large price movements are followed by high volume 3 conditioning on lagged volume substantially attenuates the leverage effect and 4 after conditioning on lagged volume there is a positive risk return relation article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

analyzing and forecasting volatility spillovers asymmetries and hedging in major oil markets crude oil price volatility has been analyzed extensively for organized spot forward and futures markets for well over a decade and is crucial for forecasting volatility and value at risk var there are four major benchmarks in the international oil market namely west texas intermediate usa brent north sea dubai oman middle east and tapis asia pacific which are likely to be highly correlated this paper analyses the volatility spillover and asymmetric effects across and within the four markets using three multivariate garch models namely the constant conditional correlation ccc vector arma garch varma garch and vector arma asymmetric garch varma agarch models a rolling window approach is used to forecast the 1 day ahead conditional correlations the paper presents evidence of volatility spillovers and asymmetric effects on the conditional variances for most pairs of series in addition the forecast conditional correlations between pairs of crude oil returns have both positive and negative trends moreover the optimal hedge ratios and optimal portfolio weights of crude oil across different assets and market portfolios are evaluated in order to provide important policy implications for risk management in crude oil markets

temporal aggregation of univariate and multivariate time series models a survey abstract we present a unified and up to date overview of temporal aggregation techniques for univariate and multivariate time series models explaining in detail although intuitively the technical machinery behind the results some empirical applications illustrate the main issues

a wavelet analysis of mean and volatility spillovers between oil and brics stock markets this paper investigates the spillover effects of volatility and shocks between oil prices and the brics stock markets using multivariate approach and wavelet analysis at different time horizons hence we combine a multivariate arma garch model and wavelet multiresolution analysis to study this phenomenon a bivariate arma 1 1 garch 1 1 cdcc student t model was joined with modwt filter to capture a broad range of possible spillover effects in mean and variances of level prices at various time horizons generally empirical results provide strong evidence of time varying volatility in all markets under study however our proposed approach shows that oil price and stock market prices are directly affected by their own news and volatilities and indirectly affected by the volatilities of other prices and wavelet scale the results show also that mean and volatility spillover effects was decomposed into many sub spillovers on different time scales according to heterogeneous investors and market participants the practical implications of this study are critical innovative and useful for the local and international investors and also for the portfolio managers they can utilize this study to formulate the optimal oil bricks stock portfolios as well as lead to more accurate predictions of volatility spillovers patterns also in developing their hedging strategies

the pricing of systematic liquidity risk empirical evidence from the us stock market abstract in this study we examine whether aggregate market liquidity risk is priced in the us stock market we define a bivariate garch 1 1 in mean specification for the market portfolio excess returns and the changes in the standardized number of shares in the s p 500 index the aggregate market liquidity proxy the findings based on monthly data suggest that systematic liquidity risk is priced in the us over the period january 1973 december 1997 the liquidity premium represents a non negligible negative and time varying component of the total market risk premium whose magnitude is not influenced by the october 87 crash

international capital flows abstract the surge in international asset trade since the early 1990s has lead to renewed interest in models with international portfolio choice we develop the implications of portfolio choice for both gross and net international capital flows in the context of a simple two country dynamic stochastic general equilibrium dsge model we focus on the time variation in portfolio allocation following shocks and resulting capital flows endogenous time variation in expected returns and risk which are the key determinants of portfolio choice affect capital flows in often subtle ways the model is consistent with a broad range of empirical evidence an additional contribution of the paper is to overcome the technical difficulty of solving dsge models with portfolio choice by developing a broadly applicable solution method

time varying co movements between energy market and global financial markets implication for portfolio diversification and hedging strategies abstract this study explores the time patterns of volatility spillovers between energy market and stock prices of seven major global financial markets including clean energy energy information technology corporations equity markets and united states economic policy index over the period vary from december 28 2000 to december 31 2018 we employ a time domain connectedness measures of diebold and yilmaz dy 2009 2012 and 2014 to examine spillover mechanism of volatility shocks across future markets optimal weights and hedge ratios are calculated for portfolio diversification and risk management the main findings of the study conclude that oil shocks are exogenous and contribution of oil market volatility to global financial markets is insignificant the returns of world stock index and world energy index are major transmitters of volatility to clean energy market moreover the impact of energy market become strong in global financial market when data is divided into pre during and post financial crisis periods finally the hedge ratios are volatile over time and their maximum value is observed during the financial crisis period of 2008 09 the optimal portfolio between energy and stock prices are heavily weighted to the stock markets

downward wage rigidities and optimal monetary policy in a monetary union this paper analyses the implications of heterogeneity in the type of downward wage rigidity nominal or real for optimal monetary policy in a monetary union with asymmetric wage adjustment costs indexation in one region of the union reduces optimal grease inflation in the presence of common productivity shocks large common shocks may have sizeable and persistent effects on the intra union terms of trade whereby the region characterized by downward real wage rigidity adjusts with a persistent loss of competitiveness in response to asymmetric productivity shocks there is no role for grease inflation because relative price changes facilitating the real wage changes dominate the adjustment mechanism

optimal dynamic hedging portfolios and the currency composition of external debt abstract we present a model which shows that the currency composition of a country s external debt can serve as a hedging instrument against changes in exchange rates and commodity prices because our model permits the second moments to change through time we get a sequence of optimal dynamic hedging portfolios which can be estimated with a multivariate generalized autoregressive conditional heteroskedasticity garch model to illustrate the usefulness of the technique we apply it to indonesia and it is found as expected that indonesia s optimal debt portfolio consists of a much larger proportion of us dollars and a much smaller proportion of japanese yen than they have in their current debt portoflio

another look at models of the short term interest rate the short term rate of interest is fundamental to much of theoretical and empirical finance yet no consensus has emerged on the dynamics of its volatility we show that models which parameterize volatility only as a function of interest rate levels tend to over emphasize the sensitivity of volatility to levels and fail to model adequately the serial correlation in condi tional variances on the other hand serial correlation based models like garch models fail to capture adequately the relationship between interest rate levels and volatility we introduce and test a new class of models for the dynamics of short term interest rate volatility which allows volatility to depend on both interest rate levels and information shocks two important conclusions emerge first the sensitivity of interest rate volatility to interest rate levels has been overstated in the literature while this relationship is important adequately modeling volatility as a function of unexpected information shocks is also important sec ond we conclude that the volatility processes in many existing theoretical models of interest rates are misspecified and suggest new paths toward improving the theory

modeling asymmetric comovements of asset returns existing time varying covariance models usually impose strong restrictions on how past shocks affect the forecasted covariance matrix in this article we compare the restrictions imposed by the four most popular multivariate garch models and introduce a set of robust conditional moment tests to detect misspecification we demonstrate that the choice of a multivariate volatility model can lead to substantially different conclusions in any application that involves forecasting dynamic covariance matrices like estimating the optimal hedge ratio or deriving the risk minimizing portfolio we therefore introduce a general model which nests these four models and their natural asymmetric extensions the new model is applied to study the dynamic relation between large and small firm returns article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

ideology economic interests and congressional roll call voting partisan instability and bank of the united states legislation 1811 1816 we introduce a wrinkle into the study of congressional roll call voting by focusing on a period of partisan instability in american history the era of good feelings during deviations from normal periods of two party rule the dominant model of voting behavior the ideological model loses precision in correctly classifying individual votes we contend that a pooled voting model comprised of both ideological and economic variables performs better than the basic ideological model during these unstable periods when party mechanisms no longer constrain or structure actions we believe the electoral connection is especially important and thus economic based constituency factors must be included in models of vote choice to explore this belief we focus on a particularly contentious issue the rechartering of the bank of the united states bus which was dealt with before and after a partisan decomposition occurred in the house using measures developed by poole and rosenthal 1985 1997 we find that the vote on the first bus in 1811 during a stable partisan period is organized along ideological lines by 1816 the two party system collapsed and we do not find the vote on the second bus to exhibit much ideological structure conversely we find that our pooled model predicts the vote on the second bus quite well providing a substantial improvement in fit over the basic ideological classification