Volatility spill-overs in commodity spot prices: New empirical results

The classical rational expectations model of commodity markets implies that expected spot price risk is an explanatory variable in spot price regressions; and also that inventory carryover, which is reduced by a larger price variance, creates autoregressive conditional heteroscedastic processes in spot prices. In order to falsify/verify this theory, it has typically been assumed that the square root of the conditional variance of spot prices, a proxy for spot price risk, enters the conditional mean function of spot prices. Based on this simple representation, a typical but counter intuitive outcome has been that spot price risk has an insignificant impact on spot prices, see, e.g., Beck (Beck, S., 1993. A Rational Expectations Model of Time Varying Risk Premia in Commodities Futures Markets: Theory and Evidence. International Economic Review 34, 149–168, Beck, S., 2001. Autoregressive Conditional Heteroskedasticity in Commodity Spot Prices. Journal of Applied Econometrics 16, 115–132). In this paper, we propose an alternative functional relationship (from GARCH(1,1) to GARCH(1,1)-AR(m)) between spot price risk and spot prices that is fully supported by the classical rational expectations model, and based on this new representation we are able to provide stronger empirical support for Muth's rational expectation theory.     

Non‐Linear Pricing and Price Indexes: Evidence and Implications from Scanner Data

Non‐linear pricing, the fact that prices do not necessarily change in proportion to size, is a ubiquitous phenomenon. However, it has been neither particularly well understood nor well measured. Non‐linear pricing is of practical importance for statistical agencies who, in constructing price indexes, are often required to compare the relative price of a product‐variety of two different sizes. It is usually assumed that prices change one‐for‐one with package and pack size (e.g. a 1‐liter cola costs half as much as a 2‐liter bottle). We question the wisdom of such an assumption and outline a model to flexibly estimate the price‐size function. Applying our model to a large U.S. scanner dataset for carbonated beverages, at a disaggregated level, we find very significant discounts for larger‐sized products. This highlights the need to pursue methods such as those advocated in this paper.     

A new estimator for trade costs and its small sample properties

This paper discusses the estimation of parameters of a traditional transportation model, as it is typically present in so-called Takayama–Judge type spatial price equilibrium models. In contrast to previously used estimation methods, observations of regional prices as well as of trade costs are used in a direct estimation of the first order conditions. The proposed method uses bi-level programming techniques to minimize a weighted least squares criterion under the restriction that the estimated parameters satisfy the Kuhn–Tucker conditions for an optimal solution of the transport model. A penalty function and a smooth reformulation are used to iteratively approximate the complementary slackness conditions. Monte-Carlo simulations are used to trace out some properties of the estimator and compare it with a traditional calibration method. The analysis shows that the proposed technique estimates prices as well as trade costs more precisely than the traditional calibration method. It is suggested to apply the same method to a range of linear and quadratic models.     

Pre‐sale information and hammer prices for Australian Indigenous art

Using sales data from 1987–2011 we investigate the role that pre‐sale price information plays in determining hammer prices for Australian Indigenous artworks. Importantly, we control for the degree of market concentration as this might influence buyers’ perceptions of fairness in relation to price estimates which are provided by auction houses. Auction houses therefore act as important intermediaries between art sellers and art buyers. The results suggest that pre‐sale estimates and market concentration have a differential impact on hammer prices, depending on the point in the conditional realised price distribution under examination.     

The futures price of a commodity in fixed supply

This letter shows that in a general equilibrium model of homogeneous population with production risk, the futures price of a commodity which is in fixed supply is always below the expected futures spot price (e.g., normal backwardation). It also shows that the difference between the futures price and the expected spot price increases as the representative individual's risk aversion rises. An important application of this model is to the housing market since houses are in fixed supply in the short run and buying a house is like holding a long position in a forward contract. Therefore, if population is homogeneous, houses are not a good consumption hedge and the prices of houses are below their expected rental prices.     

Invariance, price indices and estimation in almost ideal demand systems

Two issues are addressed in this paper. First, we explore the issue of price index invariance in the linearized Almost Ideal demand system. We establish that the Stone index, which lacks invariance, and the recently proposed invariant Laspeyres, Paasche and Tornqvist indices all generate biased and inconsistent estimators. Monte Carlo evidence shows that invariance does not necessarily lead to better estimates of price and income elasticities insofar as the Stone and Paasche indices are unambiguously inferior to the Laspeyres and Tornqvist indices, especially if prices are not strongly positively correlated. Second, we examine the merits of the widely used conditional ML estimator of the non-linear Almost Ideal system in which a prior value is chosen for the “subsistence” parameter. We find that the bias and trace mean square error increases induced by conditional estimation are modest. The choice between the linearized and the non-linear models favors the latter although in some cases linear methods are as good as non-linear. First Version Received: January 1999 / Final Version Received: March 2000     

A First Assessment of Some Measures of Core Inflation for the Euro Area

Abstract. Core inflation plays an important role in the deliberations of monetary policy-makers. In this paper we evaluate a number of measures of core inflation constructed using euro-area data. In addition to the traditional exclusion-type core measures, we examine two newer ones, documenting their properties and evaluating their performance in terms of their ability to track underlying or trend inflation in real time. We focus on core measures derived from the Harmonized Index of Consumer Prices (HICP) as the European Central Bank has chosen to define its mandate for price stability in terms of this index, and because this is the only index of consumer prices that is compiled in a comparable manner across all members of the European Union. We document significant excess kurtosis in the cross-section distribution of price changes in the euro area, and show that several categories of prices are more volatile than those typically excluded from traditional measures of core inflation. Contrary to what one might expect, traditional measures of core inflation are not significantly less volatile than headline measures. We document the superior performance of alternative measures of core inflation in tracking trend inflation on average, but show that none of the various measures of core gave significant advance warning of the pickup in trend inflation at the beginning of 1999.     

A Hausman test for non-ignorability

Using an empirical likelihood approach, we show that generalized linear models can still be consistently estimated even if dependent variables are not missing at random, and derive a Hausman test by comparing this estimator to the standard one.     

Regime switching and the (in)stability of the price–rent relationship: evidence from the US

Present value models of house prices assert that in the absence of self-fulfilling bubbles, a house price is equal to the present discount value of all future rents, which implies a linear relationship between house price and rent, and hence a stable price-to-rent ratio. Using a Markov switching error correction model, we re-examine this relationship in the US housing market and find two distinctive regimes: one with a long-run relation between house price and rent predicted by the present value models and the other in which the relation is nonlinear. Furthermore, we find evidence that deviations of house prices from the present value models’ predictions are caused by the overreaction of house prices to movements in rents rather than speculative bubbles attributable to extraneous factors.     

Product Downsizing and Hidden Price Increases: Evidence from Japan's Deflationary Period

In this paper, we empirically examine the extent to which product downsizing occurred during the deflationary period in Japan, as well as the effects of product downsizing on prices and quantities sold. Using scanner data on prices and quantities for all products sold at about 200 supermarkets over the last 10 years, we find that about one third of product replacements were accompanied by a size/weight reduction. We also find that a 1‐percentage point larger size/weight reduction is associated with a 0.45‐percentage point larger price decline, resulting in an effective price increase. Finally, we show that the quantities sold decline with product downsizing, and that the responsiveness of the quantity sold to size/weight changes is almost the same as the price elasticity, indicating that consumers are as sensitive to size/weight changes as they are to price changes. Our results suggest that the Japanese consumer price index may be downwardly biased rather than upwardly biased.     

Coalition-proof supply function equilibria in oligopoly

In an industry where firms compete via supply functions, the set of equilibrium outcomes is large. If decreasing supply functions are ruled out, this set is reduced significantly, but remains large. Specifically, the set of prices that can be sustained by supply function equilibria is the interval between the competitive price and the Cournot price. In sharp contrast, when the number of firms is above a threshold we identify (e.g., three if demand is linear), only the Cournot outcome can be sustained by a coalition-proof supply function equilibrium.     

Estimating Housing Prices: A Proposal with Spatially Correlated Data

The price of housing per square meter and the trend observed over the last few years is one of the issues that most concerns Spanish citizens and subsequently their political and economic representatives. However, in spite of the importance of space in the real estate market, official averages do not take into account the spatial correlation of housing prices. In order to solve this handicap, we propose the kriging the mean method to estimate mean housing prices. This method provides the best unbiased linear estimation taking into account spatially correlated data.     

THE TREATMENT OF “HOME OWNERSHIP” IN THE CPI*

This paper explores the imputed service price approach to the pricing of the services of consumer-owned-and-used durables in the construction of the consumer price index, using the services of owner-occupied housing as an illustration. A theoretical framework for analyzing this question is first developed. Certain practical problems are then discussed. The conceptual difficulty of constructing an appropriate rate of return on the basis of available data on interest rates and house prices, in the context of inflation, is explored. Two arguments are advanced that statistical agencies ought not to follow the imputed service price approach in pricing the services of owner-occupied dwellings and other consumer durables. On the one hand, nominal interest rates will, in any short period, reflect monetary policy and not any change in the money “rental” of owner-occupied houses. Second, movements in nominal interest rates will also reflect changes in the money price of pure consumption goods, as well as changes in the money price of houses. The argument is extended to other consumer durables and, in the limiting case, to monetary balances, and it is concluded that in all but trivial cases the application of the service price approach leads to price movements of little or no meaning.     

Housing prices and crime perception

In this article, we combine data from the housing market with data from a victimization survey to estimate the effect of crime perception on housing prices in the City of Barcelona from 2004 to 2006. Using dwelling data and a hedonic price model (using both OLS and quantile regressions), in the first stage, we estimate the shadow price of the location of dwellings. In the second stage, we analyse the impact of crime perception, after controlling for other district characteristics such as local public spending and immigration, on this locational valuation. After accounting for the possible endogeneity of crime and housing prices, our findings suggest that crime exerts relevant costs beyond its direct costs. Indeed, a one standard deviation increase in perceived security is associated with a 0.57 % increase in the valuation of districts. Moreover, in districts perceived as being less safe than the average for the City of Barcelona, houses are highly discounted. Less safe districts have on average a valuation that is 1.27 % lower.     

收入、游资与近代上海房地产价格

近代上海房地产价格呈长期上涨趋势。当时的房地产消费结构体现了移民城市流动性大的特征,也与当时的房屋建筑结构相关。租房消费是主流。绝大多数人按收入状况的不同租住不同地段不同等级的房子,居住状况呈两极分化趋势。近代上海房地产价格与国内外资金在上海的汇聚状况密切相关,近代史上几次房地产价格的超常大涨都是游资在起推波助澜的作用。     

Mixed linear-nonlinear pricing with bundling

The practice of setting marginal prices below marginal costs is so common in telecommunications offerings that it can justifiably be labeled a stylized fact. In this paper, we present a stylized model that establishes conditions under which this practice is economically efficient and profit-maximizing. A multiproduct monopolist who sells some of his goods according to a nonlinear price schedule, while selling the remaining goods at linear prices, is said to use a mixed price structure. We develop a simple model to characterize welfare- and profit-maximizing mixed prices. It is shown that standard results obtained separately for linear and nonlinear prices do not hold when mixed prices are used. In particular, the marginal price facing the largest buyer can be above or below marginal cost. The result is shown to depend on whether the goods are substitutes or complements. Implications of these results for telecommunications prices are derived, and the intuition underlying our stylized fact is developed.     

Estimation of hedonic price functions via additive nonparametric regression

We model a hedonic price function for housing as an additive nonparametric regression. Estimation is done via a backfitting procedure in combination with a local polynomial estimator. It avoids the pitfalls of an unrestricted nonparametric estimator, such as slow convergence rates and the curse of dimensionality. Bandwidths are chosen using a novel plug in method that minimizes the asymptotic mean average squared error (AMASE) of the regression. We compare our results to alternative parametric models and find evidence of the superiority of our nonparametric model. From an empirical perspective our study is interesting in that the effects on housing prices of a series of environmental characteristics are modeled in the regression. We find these characteristics to be important in the determination of housing prices.First version received: October 2002/Final version received: October 2003We thank B. Baltagi and two anonymous referees for their comments. The authors retain responsibility for any remaining errors.     

Long-Run Links among Money, Prices and Output: Worldwide Evidence

Abstract. Starting from the quantity theory of money we analyse the dynamic relationships between money, real output and prices for an unbalanced panel of 110 economies. Complementary to trivariate analyses we also adopt a P-star model explaining inflation via an equilibrium price level (P-star), which in turn depends on potential output and money. A key issue of the paper is the cross-sectional stability of estimation and inference results. We find cointegration among the considered variables. Particularly for high inflation countries homogeneity between prices and money cannot be rejected. Given homogeneity we find evidence for an error-correction mechanism linking current price changes and the lagged price gap. Parameter estimates indicating the adjustment towards the price equilibrium are larger in absolute value for high inflation countries. The latter results indicate that central banks, even in high inflation countries, can improve price stability by controlling monetary growth.     

Competitive prices as optimal cartel prices

In a linear oligopoly model with antitrust enforcement, the optimal cartel price converges to the competitive equilibrium price. The set of sustainable cartel prices does not shrink to the competitive price. We identify necessary conditions for this counter-intuitive convergence result.     

The forward pricing function of industrial metal futures – evidence from cointegration and smooth transition regression analysis

The prices of internationally traded metals have experienced wild swings and increased volatility in recent years. The relationship between spot and futures prices is an important topic in this context, as the current period’s price of a futures contract should be an unbiased estimator of next period’s spot price under the joint assumption of risk neutrality and rationality. Taking as a basis data from the Dow Jones UBS Commodity Index, which uses metals traded on the London Metal Exchange and US exchanges, this study adopts nonlinear smooth transition models to analyze whether the forward spread is a leading indicator of future spot price movements. Our findings suggest that such a price discovery function can in most cases only be identified in periods of low volatility or small previous spreads. Moreover, the underlying dynamics are captured best by the use of a logistic transition function.