How does the diversity of investors’ beliefs affect stock price informativeness?

A growing number of studies have investigated the role of stock prices in aggregating private information and guiding resource reallocation. However, this article may be the first attempt to study how the diversity of beliefs affects stock price informativeness. The framework of the noisy rational expectations model shows that stock informativeness is determined by both the precision and use of private information in trading. If private beliefs about the value are highly diverse, the aggregate average opinion revealed in a stock’s price will be more accurate and, thus, more informative. As the price becomes more informative, however, individual investors will rely less on their private information. When this occurs, less private information will be absorbed in price, which, in turn, reduces price informativeness. Our model shows that the relationship between belief diversity and price informativeness is U-shaped in equilibrium.     

What Collusion? Unilateral Market Power as a Catalyst for Countercyclical Markups

This paper presents and tests a simple model of competitive and unilateral market power regimes that yields countercyclical markups. Following a decrease in demand in the short run, capacity-constrained firms may have a strong incentive not to lower their prices to the new competitive price. Demand shocks may introduce market power into a previously competitive market. Experimental posted offer markets support this conjecture with complete information on the market structure. With only private information, there appears to be a hysteresis effect concerning supracompetitive prices, i.e., markets with a history of supracompetitive pricing continue to generate supracompetitive prices following demand shocks. However, competitive markets also remain competitive following demand shocks when firms only have private information on costs and capacities.     

Competition and confidentiality: Signaling quality in a duopoly when there is universal private information

We model non-cooperative signaling by two firms that compete over a continuum of consumers, assuming each consumer has private information about the intensity of her preferences for the firms' respective products and each firm has private information about its own product's quality. We characterize a symmetric separating equilibrium in which each firm's price reveals its respective product quality. We show that the equilibrium prices, the difference between those prices, the associated outputs, and profits are all increasing functions of the ex ante probability of high safety. If horizontal product differentiation is sufficiently great then equilibrium prices and profits are higher under incomplete information about quality than if quality were commonly known. Thus, while signaling imposes a distortionary loss on a monopolist using price to signal quality, duopolists may benefit from the distortion as it can reduce competition. Finally, average quality is lower since signaling quality redistributes demand towards low-quality firms.     

Informed trade,uninformed trade and stock price delay

The probability of informed trading (PIN), a measure of information-based trading risk, has been broadly applied to empirical studies on asset pricing. However, it is still controversial whether PIN measures exclusively the risk of firm-specific private information or it also captures the private interpretation of market wide public information. This article examines the relevance of PIN to the delayed response of stock prices to market-wide information. We find that PIN significantly explains individual stock price delay even controlling for size, liquidity and risk, and low-PIN stock prices adjust to market information more rapidly not only because of a notably high level of informed trading but also an even much higher level of uninformed trading. Our findings support the notion that PIN also captures the private skilled interpretation of public common factor information by sophisticated investors, and provide new empirical evidence on how information-based trading affects the speed at which stock prices adjust to information.     

Reserve price signaling

In a general auction model in which bidders’ signals are affiliated, we characterize the unique separating equilibrium in which the seller can use reserve prices to credibly signal her private information. When the buyers’ signals are independent, the optimal reserve price is shown to be increasing in the number of bidders under certain conditions. We also demonstrate that the probability that the item is sold at the reserve price can increase as the number of bidders increases, which indicates a more central role for reserve prices than perceived in the standard auction models.     

Portfolio choice, attention allocation, and price comovement

This paper models the attention allocation of portfolio investors. Investors choose the composition of their information subject to an information flow constraint. Given their expected investment strategy in the next period, which is to hold a diversified portfolio, in equilibrium investors choose to observe one linear combination of asset payoffs as a private signal. When investors use this private signal to update information about two assets, changes in one asset affect both asset prices and may lead to asset price comovement. The model also has implications for the transmission of volatility shocks between two assets.     

Energy price shocks and milk price adjustments

Much previous research on energy price transmission sheds light on the relationship between oil prices and aggregate commodity prices, such as for agricultural products, or food price indexes. This letter uses data from 12 U.S. cities between 2001 and 2011 to examine how energy prices are transmitted to fluid milk products at the retail level. Results indicate the existence of an asymmetric energy pass-through (a rise is transmitted faster than a fall in prices) and that private label milk products are more insulated from energy price shocks and adjust at similar rate with national manufacturer brands.     

Speculative dynamics

We develop a method for solving for equilibrium outcomes in stationary strategic settings in which speculators are informationally large and understand how their actions affect the information content of prices. This allows us to characterize speculation by institutional investors who receive private long-lived information on a recurring basis, and trade strategically. When the underlying asset value process has a stationary autoregressive structure, we develop a contraction mapping argument to solve for the stationary linear equilibrium. We derive analytically and numerically how the characteristics of private information—its quantity, persistence and correlation, and division among speculators—affect trading profits, pricing and trading strategies. Our central finding is that what matters for equilibrium outcomes are the most recent signals that speculators receive. Speculators trade so much more aggressively on new information than old that the bulk of their profits come from their two or three most recent private signals. Trading on past prices drops off faster yet; effectively only the most recent price matters.     

Sunk costs and fairness in incomplete information bargaining

We study a bilateral trading relationship in which one agent, the seller, can make a nonrecoverable investment in order to generate potential gains from trade. Afterwards, the seller makes a price offer that the buyer can either accept or reject. If agents are fairminded, sellers who are known by the buyer to have high investment costs are predicted to charge higher prices. If the investment cost is private information, low-cost sellers should price more aggressively and high-cost sellers less aggressively than under complete information, giving rise to disagreement and/or underinvestment. Our experiment support these predictions.     

Prices, Delay, and the Dynamics of Trade

We characterize the dynamics of trading patterns and market composition when trade is bilateral, finding a trading partner is costly, prices are determined by bargaining, and preferences are private information. We show that equilibrium is inefficient and exhibits delay as sellers price discriminate between buyers with different values. As frictions vanish, transaction prices are asymptotically competitive and the welfare loss of inefficient trading approaches zero, even though the trading patterns continue to be inefficient and delay persists. Journal of Economic Literature Classification Numbers: D40, D50.     

Price and output responsiveness to nominal changes under differential information

The paper considers how changes in nominal income are transmitted into price and output changes within a setting where the traditional assumption of instantaneous market clearing (costless coordination) is given up in favour of a more realistic setting where price decisions are made by numerous agents (firms) acting independently on their private (decentralized) information. The responsiveness of firm-specific prices is considered, and it is shown how absolute or nominal price rigidity can be explained. Building this into a theory of the general price level it is proved that heterogenously perceived nominal changes affect the price level less than proportionally. Moreover it is shown how a Phillips-curve relation between inflation and output can be rationalized within the model. Finally, the issue of relative price variability is considered and related to misallocation of economic resources under differential information.     

Imperfect common knowledge and the information value of prices

Summary. When economic agents have diverse private information on the fundamentals of the economy, prices may serve as a poor aggregator of this private information. We examine the information value of prices in a monopolistic competition setting that has become standard in the New Keynesian macroeconomics literature. We show that public information has a disproportionate effect on agents’ decisions, crowds out private information, and thereby has the potential to degrade the information value of prices. This effect is strongest in an economy with keen price competition. Monetary policy must rely on less informative signals of the underlying cost conditions.Received: 6 November 2003, Revised: 19 November 2004 JEL Classification Numbers: E31, E32, E58.This paper supersedes the discussion in the first half of our longer paper that circulated under the title “Public and Private Information in Monetary Policy Models”. We thank Andy Filardo, Marvin Goodfriend, Nobu Kiyotaki, John Moore, Stephen Morris and Lars Svensson for advice and comments at various stages of the project, and to Herakles Polemarchakis, Roko Aliprantis and an anonymous referee for their helpful comments and guidance. The views are those of the authors and do not necessarily represent those of the BIS. The second author acknowledges support from the U.K. ESRC under grant RES 000220450. Correspondence to: H.S. Shin     

Search, Bargaining, Money, and Prices Under Private Information

This paper presents a model of money and search where bargaining determines prices and the quality of goods is private information. It studies how a lemons problem affects the purchasing power of money. There are multiple, Pareto-ranked equilibria. The superior equilibrium, where no lemons are produced, exists even if information about quality is relatively scarce. In other equilibria, there is price dispersion, and uninformed buyers pay higher prices than informed buyers for all goods. Taxing money balances (a proxy for inflation) makes buyers less selective, thus reducing the average quality of supply and the premium paid for known quality.     

Rational expectations,difference of opinions and asset pricing

This article applies the concept of relative overconfidence (the measure of how heavily investors depend on others’ information) to combine the rational expectations equilibrium (REE) and difference of opinions (DO) models. And we discuss the effects of relative overconfidence on asset price efficiency and trading volume. We find that when investors hold assets to maturity, relative overconfidence has no effect on price efficiency and trading volume; however, when investors speculate, relative overconfidence reduces price informativeness and trading volume, because investors will reckon asset prices as more noisy and find it meaningless to speculate on capital gains based on their private information. Our results highlight the role of speculation in differentiating REE and DO models and influencing the effects of overconfidence.     

PRICE SETTING PRACTICES IN GREECE: EVIDENCE FROM A SMALL‐SCALE FIRM‐LEVEL SURVEY

The paper documents the price setting practices followed by some 400 or so firms operating in Greece. Survey replies reveal a low percentage of firms changing prices with frequency higher than annual and staggering of price changes during the year. As to firms’ reactions to unexpected shocks, prices appear to adjust sluggishly to cost shocks with asymmetries in price adjustment across positive and negative shocks. Adjustments to increases in costs appear speedier than those to reductions in demand. The data confirm a result found for other countries: the existence of cross‐sectional variations in price setting strategies and in the extent to which prices are adjusted in reaction to unexpected shocks. The results suggest a positive association between, on the one hand, product market competition and, on the other hand, state‐dependent pricing, frequent price changes and the likelihood of a price adjustment following an adverse demand shock.     

An equilibrium analysis of information aggregation and fluctuations in markets with discrete decisions

This paper shows how the interaction between decentralized information gathering and discreteness of investment decisions at the individual level can generate random fluctuations in aggregate investment that involve occasionally large allocation errors. This interaction is illustrated in a model in which private information is costly to acquire and prices reveal information. The unique rational expectations equilibrium outcome of the model is shown to always be noisy and characterized by investment levels which may be high simply because uninformed investors are buying under the impression that the high price is a signal of good investment opportunities.     

When do better schools raise housing prices? Evidence from Paris public and private schools

In this paper, we investigate how housing prices react to the quality of education offered by neighboring public and private schools. The organization of secondary schooling in the city of Paris, which combines residence-based assignment to public schools with a well-developed and almost entirely publicly funded private school system, offers a valuable empirical context for analyzing how private schools affect the capitalization of public school performance in housing prices. Using comprehensive data on both schools and real estate transactions over the period 1997–2004, we develop a matching framework to carefully compare sales across school attendance boundaries. We find that a standard deviation increase in public school performance raises housing prices by 1.4 to 2.4%. Moreover, we show that the capitalization of public school performance in the price of real estate shrinks as the availability of private schools increases in the neighborhood. Our results confirm the predictions of general equilibrium models of school choice that private schools, by providing an advantageous outside option to parents, tend to mitigate the impact of public school performance on housing prices.     

Offshoring,Sourcing Substitution Bias,and the Measurement of Growth in U.S. Gross Domestic Product and Productivity

The decade before the financial crisis of 2008 was a time of large changes in sourcing patterns for manufactured goods, particularly after China's entry into the WTO in 2001. Sourcing substitution reduced the prices paid by wholesale level buyers of these goods, but these price reductions were mostly not captured in the U.S. import price indexes and the U.S. GDP deflator. To find plausible values for sourcing bias we first use data on changes in sourcing patterns over 1997–2007 to predict the effect of the reported price discount from the new emerging market suppliers. Next, we compare adjusted import price indexes for products used for household consumption with consumer price indexes. In the GDP deflator for apparel imports, sourcing bias is found to average 0.6 percent per year, and for durable goods it averages 1 percent per year. During the decade of rapidly changing sourcing patterns, a tenth of the reported speedup in multifactor productivity growth of the U.S. private business sector may have come from sourcing bias in the deflators for imports.     

Relative importance of sticky prices and sticky information in price setting

The relative importance of price and information stickiness in price setting to model and explain inflation dynamics is investigated in this study. A structural model of inflation is developed and used which combines two different models of price setting behavior: the sticky price model of the New Keynesian literature and the sticky information model of Mankiw and Reis. In a framework similar to the Calvo model, I assume that there are two types of firms. One type of firm chooses its prices optimally through forward-looking behavior—as assumed in the sticky price model. It uses all available information when deciding on prices. The other type of firm sets its prices under the constraint that the information it uses is “sticky”—as assumed in the sticky information model. It collects and processes the information necessary to choose its optimal prices with a delay. This leads to the sticky price–sticky information (SP/SI) Phillips curve that nests the standard sticky price and sticky information models. Estimations of this structural model show that both sticky price and sticky information models are statistically and quantitatively important for price setting. However, the sticky price firms make up the majority of the firms in the economy. The results are robust to alternative sub-samples and estimation methods.     

Estimation of hedonic price functions with incomplete information

Existence of persistent price dispersion suggests that some buyers find lower prices through search and information acquisition, while some sellers charge higher prices by gathering information on potential buyers. If buyers are not fully informed of the lowest price available in the market they end up paying a price higher than if they had full information. Similarly, if sellers are not fully informed about the highest price they could charge, they too suffer by receiving a price lower than had they had full information. This paper develops a hedonic price model that incorporates the effects of incomplete information on both sides of the market and obtains estimates of the discrepancies between market prices and buyers’ maximum willingness to pay and sellers’ minimum willingness to accept. Correlates of such price discrepancies are also explored. We apply the technique to a data set constructed from the American Housing Survey, and find that incomplete information has had a significant impact on housing prices.