Optimal fiscal and monetary policy under sticky prices

This paper studies optimal fiscal and monetary policy under sticky product prices. The theoretical framework is a stochastic production economy. The government finances an exogenous stream of purchases by levying distortionary income taxes, printing money, and issuing nominal non-state-contingent bonds. The main findings of the paper are: First, for a miniscule degree of price stickiness (i.e., many times below available empirical estimates) the optimal volatility of inflation is near zero. Second, small deviations from full price flexibility induce near random walk behavior in government debt and tax rates. Finally, price stickiness induces deviation from the Friedman rule.     

A history of European electricity day-ahead prices

In this article, we examine the development of day-ahead prices in five European markets which became more connected over recent years. Where previous studies examined the convergence of price levels over time, we focus on patterns in estimates for the parameters in a switching regimes model. This makes it possible to distinguish between prices under normal market conditions and under non-normal market conditions, those market conditions that can cause extreme price spikes. We expect that increased connectivity yields additional supply in the short-term and therefore will reduce the impact of price spikes. Our results indicate that the impact of price spikes and volatility decreased over time, that prices behave more random, and that the parameter estimates between various connected markets seem to have converged between the Belgian, Dutch, French, German and Nordic day-ahead markets over the years 2003 through 2010. These results can be explained by increased connectivity and improved liquidity.     

Effect of Short‐sale Constraints on Stock Price Manipulation

This paper examines the effect of short‐sale constraints on the stock price manipulation of an insider, who is subject to mandatory disclosure rules. We show that the privately informed insider may manipulate by trading against his or her information when short selling is banned. We find that stock price movement is asymmetric in the sense that prices fall by a larger percentage than they rise. In addition, we prove that removing short‐sale constraints increases price volatility. Finally, we explore the welfare implications of short‐sale constraints.     

Determinants of housing price volatility in Canada: a dynamic analysis

This article tries to identify the determinants of housing price volatility and to examine the dynamic effects of these determinants on volatility using quarterly data for Canada. The Generalized Autoregressive Conditional Heteroskedastic (GARCH) and the Vector Autoregressive (VAR) models have been employed to analyse possible time variation of the housing price volatility and the interactions between the volatility and the key macroeconomic variables. We find the evidence of time varying housing price volatility for Canada. Our VAR, Granger causality and variance decomposition (VDC) analyses demonstrate that housing price volatility is affected significantly by gross domestic product (GDP) growth rate, housing price appreciation rate and inflation. On the other hand, volatility affects GDP growth rate, housing price appreciation and volatility itself. The impulse response analysis reveals the asymmetric of the positive and negative shocks. The findings of this article have important implications, particularly for those seeking to develop derivatives for housing market prices.     

Regulatory Tools and Price Changes in Futures Markets

There is an extant literature investigating the relation between futures price limits and the volatility of futures price changes. An equally impressive number of papers investigates margin levels and their relation with price volatility. Very few papers explicitly model the indirect relation, through volatility, between margins and limits. Brennan's (1986) model is an exception. In his model, price limits help control contract default risk, thereby reducing required margins and ultimately lead to lower transaction costs. The crucial assumption in Brennan's model is the absence of accurate price signals when prices are locked at the limit. The paper extends Brennan's model with more realistic price change distributions that capture the typical characteristics of futures prices such as fat tails and time-varying volatility. It also discusses how learning can occur and how this may affect cost minimising optimality of regulation.     

A study of Shanghai fuel oil futures price volatility based on high frequency data: Long-range dependence,modeling and forecasting

In existing researches, the investigations of oil price volatility are always performed based on daily data and squared daily return is always taken as the proxy of actual volatility. However, it is widely accepted that the popular realized volatility (RV) based on high frequency data is a more robust measure of actual volatility than squared return. Due to this motivation, we investigate dynamics of daily volatility of Shanghai fuel oil futures prices employing 5-minute high frequency data. First, using a nonparametric method, we find that RV displays strong long-range dependence and recent financial crisis can cause a lower degree of long-range dependence. Second, we model daily volatility using RV models and GARCH-class models. Our results indicate that RV models for intraday data overwhelmingly outperform GARCH-class models for daily data in forecasting fuel oil price volatility, regardless the proxy of actual volatility. Finally, we investigate the major source of such volatile prices and found that trader activity has major contribution to fierce variations of fuel oil prices.     

On the Effects of Asset Purchase Programs on Emerging Stock Markets

ABSTRACT

It is well documented that there has been a relationship between stock markets and unconventional monetary policies. However, most research concentrates on developed economies and analyzes the effects of shocks from such polices on stock prices. This paper is different from this research in that we investigate the impact of surprises from the Fed’s and the ECB’s announcements on the stock returns and volatility in Gulf Cooperation Council (GCC) countries using GARCH models. We find that a positive surprise associated with a fall in the U.S. Treasury yield causes an increase in ADX returns. We show significant effects of the ECB’s shocks on price returns. In particular, announcement that induces a decline in yield spreads in Italian sovereign bonds leads to higher stock prices. We also document a significant impact of surprises both by the Fed and ECB on volatility. However, the estimates are mixed. We note that volatility went down in response to the ECB’s policies, while they increased after the Fed’s asset purchases. Finally, when we distinguish surprises by their sign, the GJR-GARCH model estimates indicate that the effect on the volatility which is, perhaps surprisingly, symmetric for both types of news.     

Monopoly Price Dispersion Under Demand Uncertainty

When a monopolist sets its price before its demand is known, then it may set more than one price and limit the availability of its output at lower prices. This article adds demand uncertainty and price rigidities to the standard model of monopoly pricing. When there are two states of demand and the ex post monopoly price is greater when demand is high then the monopolist's optimal ex ante pricing strategy is to set two prices and limit purchases at the lower price.     

An improved framework for approximating option prices with application to option portfolio hedging

As the price of the underlying asset changes over time, delta of the option changes and a gamma hedge is required along with delta hedge to reduce risk. This paper develops an improved framework to compute delta and gamma values with the average of a range of underlying prices rather than at the conventional fixed ‘one point’. We find that models with time-varying volatility price options satisfactorily, and perform remarkably well in combination with the delta and delta-gamma approximations. Significant improvements are achieved for the GARCH model followed by stochastic volatility models. The new approach can ensure significant improvement in modelling option prices leading to better risk-management decision-making.     

The volatility of Australian traded goods’ prices

It is generally accepted that the Australian economy is continually subject to unanticipated shocks, particularly, unexpected swings in the prices of Australia's internationally- traded goods. This article empirically investigates the nature and extent of volatility in import and export prices faced by the Australian production sector. It estimates multivariate GARCH models of the stochastic processes generating the prices of imports and exports, and of important components of exports and imports. This article proposes an index of volatility, which is used to provide a summary measure of the extent of volatility in a multivariate context. The overall conclusion is that the price growth rates for Australia's traded goods exhibit considerable time variation in volatility and that these price growth rates are highly and positively correlated with each other.     

On volatility of prices in arbitrage-free markets

Summary This paper addresses the question of what one can learn about the dynamics of an economy from observing cross-sectional and time series variations in the volatility of prices in an arbitrage-free securities market. We introduce the notions of stochastic derivatives, marginal risk-adjusted growth rates, and marginal risk exposure in a single factor economy. We show that future variations in the state of the economy are due to two independent sources: the marginal risk-adjusted growth rate and the changes in marginal risk exposure. Using the martingale characterization of arbitrage-free prices, together with a martingale representation formula due to Haussmann (1978), we show that cross sectional variations in price volatility of assets with linear payoffs can be used to identify the sum of these two sources. Measurements of price volatility for assets with linear payoffs are not sufficient for complete identification of the independent determinants of possible future variations in the economy. However, using the volatility of prices of options on the state variable, we can identify the stochastic derivative and hence compute the price volatility of any path independent contingent claim.I am grateful to David Kreps and Kenneth Singleton for helpful conversations and to an anonymous referee for useful remarks. Financial support from Stanford Graduate School of Business Faculty Fellowship is gratefully acknowledged.     

Price convergence in the European Union – What has changed?

This paper investigates price convergence in European Union countries using disaggregated price level indices in the period 1999–2016. Our results show that prices of both tradable and nontradable goods had a significantly lower dispersion in 2016 than in 1999. The convergence was faster in the case of countries with price level below the average, which can be interpreted as catching-up. However, further analysis shows that most prices converged only up to 2008. While prices of transport equipment continue to converge across the European Union, several durable consumption categories show price divergence after 2008. We attribute this to the drop in international trade of durable products due to increasing inflation and exchange rates volatility following the global financial crisis. From the monetary policy perspective, the existing price-level gaps, shown in our study, may pose a risk of higher inflation, especially in catching-up economies.     

Financial leverage and market volatility with diverse beliefs

We study a general equilibrium model of asset trading with financial leverage, where the investors can engage in speculative trading with diverse beliefs about the asset??s fundamental value. We show that an increase in the leverage ratio causes the stock price to rise in the current period through a ??leverage effect??, and will result in more borrowing and more stock purchase that pumps the stock price higher in the subsequent period, known as the ??pyramiding effect??. There can also be a ??depyramiding effect?? when the price falls because lenders issue margin calls and force stock sales, contributing to further stock price plummeting. Price changes from depyramiding effect, however, may not take effect when margin calls are not triggered. We demonstrate that, under certain conditions, decreasing leverage ratios leads to lower stock price volatility, measured by the variation of prices caused by an exogenous shock, when the shock is unanticipated. The influences of dispersion of beliefs and available investment funds on the relation between financial leverage and market volatility are also examined. When the shock is anticipated, we demonstrate that reducing leverage ratios may not lower stock price volatility, which poses an important challenge to future studies on this issue.     

Futures basis,inventory and commodity price volatility: An empirical analysis

We employ a large dataset of physical inventory data on 21 different commodities for the period 1993–2011 to empirically analyze the behavior of commodity prices and their volatility as predicted by the theory of storage. We examine two main issues. First, we analyze the relationship between inventory and the shape of the forward curve. Low (high) inventory is associated with forward curves in backwardation (contango), as the theory of storage predicts. Second, we show that price volatility is a decreasing function of inventory for the majority of commodities in our sample. This effect is more pronounced in backwardated markets. Our findings are robust with respect to alternative inventory measures and over the recent commodity price boom.     

Soviet agricultural procurement pricing: A study in perversity

The relationship between Soviet agricultural procurement prices and quantities is examined in the light of the existence of bonuses for above-trend sales (BATS) and zonal price differentiation (ZPD). That BATS leads to a positive relationship between prices and quantities as harvest conditions vary is shown to hold for the individual farm. Planners are apt, however, to be more concerned with the “average” price of a crop, which is closely related to the subsidy bill. This price is more likely to be “perverse” under ZPD than BATS, although neither guarantees perversity. Data suggest that such perversity is a common occurrence. J. Comp. Econ., March 1985, 9(1), pp. 24–45. Illinois State University, Normal, Illinois 61761.     

Behaviour-based price discrimination with cross-group externalities

Two platforms compete for heterogeneous firms and consumers. Platforms are allowed to discriminate prices on the consumers’ side according to their past purchase behaviour. The findings of the paper depend on two dimensions: the relative cross-side externalities and the consumer discounting relative to platform discounting. Price competition is strengthened in the poaching phase compared to the case where a uniform price is charged in both sides, whereas the early price competition is relaxed if firms exhibit weaker externalities than consumers and if the latter discount sufficiently the future. The overall effect on inter-temporal profits of platforms is negative, but consumers might be harmed by BBPD when they discount sufficiently the future. Finally, depending on consumers’ discounting, total welfare may increase or decrease going from the uniform pricing to the discriminatory pricing.     

Coordination and correlation in Markov rational belief equilibria

Summary This paper studies the effect of correlation in the rational beliefs of agents on the volatility of asset prices. We use the technique of generating variables to study stable and non-stationary processes needed to characterize rational beliefs. We then examine how the stochastic interaction among such variables affects the behavior of a wide class of Rational Belief Equilibria (RBE). The paper demonstrates how to construct a consistent price state space and then shows the existence of RBE for any economy for which such price state space is constructed. Next, the results are used to study the volatility of asset prices via numerical simulation of a two agents model. If beliefs of agents are uniformly dispersed and independent, we would expect heterogeneity of beliefs to have a limited impact on the fluctuations of asset prices. On the other hand, our results show that correlation across agents can have a complex and dramatic effect on the volatility of prices and thus can be the dominant factor in the fluctuation of asset prices. The mechanism generating this effect works through the clustering of beliefs in states of different levels of agreement. In states of agreement the conditional forecasts of the agents tend to fluctuatetogether inducing more volatile asset prices. In states of disagreement the conditional forecasts fluctuatein diverse directions tending to cancel each other's effect on market demand and resulting in reduced price volatility.This research was supported, in part, by the Fondazione Eni Enrico Mattei of Milan, Italy, and by the Research Incentive Fund of Stanford University. The authors thank Carsten K. Nielsen and Ho-Mou Wu for valuable discussions on an earlier draft. Carsten K. Nielsen also made an important contribution to the development of Section 3.     

油价冲击、货币政策调整与产出波动——基于中国的经验证据

本文基于我国2001-2010年宏观经济月度数据,采用SVAR模型分析了国际油价波动时,央行货币政策在排除回应油价干扰与未排除干扰下的反应差异及油价波动对产出的影响。研究发现,在排除货币政策回应油价波动干扰后,通过脉冲响应函数反映的油价波动对产出的短期负面影响消失。方差分解结果显示,长期内产出波动由油价冲击和货币政策解释的比例分别为5716%和32480%,比排除干扰前分别下降了2569%和4560%。这说明我国油价冲击带来的经济衰退主要是因为货币政策及其回应油价冲击紧缩所致。此外,面对油价的短期冲击,CPI指数并未随着生产者购进价格指数上升而上升,产出也未发生明显的衰减;但在较长时间内,油价上升会因为相对价格的改变,而影响CPI水平和货币政策,从而对产出产生显著的负面影响。     

Price bounds on bond options,swaptions, caps,and floors assuming only nonnegative interest rates

This paper derives bounds on the prices of European and American bond options, caps, floors, and European swaptions assuming only absence of arbitrage and nonnegative interest rates. The bounds are considerably tighter than Merton's bounds on stock option prices, especially for options on short-term bonds or swaps and short-term caps and floors. For American bond options, it is important to distinguish between options on the quoted (“clean”) bond price and options on the actual (“dirty”) bond price. For example, it is shown that it may be optimal to exercise an American call on the quoted bond price early even if the underlying bond makes no payments in the remaining life of the option.