Asymmetric Price Adjustment in the Small

Analyzing a large weekly retail transaction price dataset, we uncover a surprising regularity—small price increases occur more frequently than small price decreases for price changes of up to about 10 cents, while there is no such asymmetry for larger price changes. The asymmetry holds for the entire sample and for individual categories. We find that while inflation can explain some of the asymmetry, inflation is not the whole story as the asymmetry holds even after excluding inflationary periods from the data, and even for products whose price had not increased over the eight-year period. The findings hold for different measures of inflation and also after allowing for lagged price adjustments. We offer a consumer-based explanation for these findings.Asymmetric Price Adjustment; Price Rigidity; Rational Inattention; Rational Ignorance;

Asymmetric Price Adjustment "in the Small:" An Implication of Rational Inattention

Analyzing scanner price data that cover 27 product categories over an eight-year period from a large Mid-western supermarket chain, we uncover a surprising regularity in the data—small price increases occur more frequently than small price decreases. We find that this asymmetry holds for price changes of up to about 10 cents, on average. The asymmetry disappears for larger price changes. We document this finding for the entire data set, as well as for individual product categories. Further, we find that the asymmetry holds even after excluding from the data the observations pertaining to inflationary periods, and after allowing for various lengths of lagged price adjustment. The findings are insensitive also to the measure of price level used to measure inflation (the PPI or the CPI). To explain these findings, we extend the implications of the literature on rational inattention to individual price dynamics. Specifically, we argue that processing and reacting to price change information is a costly activity. An important implication of rational inattention is that consumers may rationally choose to ignore—and thus not to respond to—small price changes, creating a “range of inattention” along the demand curve. This range of consumer inattention, we argue, gives the retailers incentive for asymmetric price adjustment “in the small.” These incentives, however, disappear for large price changes, because large price changes are processed by consumers and therefore trigger their response. Thus, no asymmetry is observed “in the large.” An additional implication of rational inattention is that the extent of the asymmetry found “in the small” might vary over the business cycle: it might diminish during recessions and strengthen during expansions. We find that the data are indeed consistent with these predictions. An added contribution of the paper is that our theory may offer a possible explanation for the presence of small price changes, which has been a long-standing puzzle in the literature.Asymmetric Price Adjustment, Rational Inattention, Cost and Benefit of Information Acquiring and Processing, Price Rigidity

Price Points and Price Rigidity

We offer new evidence on the link between price points and price rigidity using two datasets. One is a large weekly transaction price dataset, covering 29 product categories over an eight-year period from a large U.S. supermarket chain. The other is from the Internet, and includes daily prices over a two-year period for 474 consumer electronic goods covering ten product categories, from 293 different Internet retailers. Across the two datasets, we find that (i) 9 is the most frequently used price-ending for the penny, dime, dollar and the ten-dollar digits, (ii) the most common price changes are in multiples of dimes, dollars, and ten-dollars, (iii) 9-ending prices are at least 24% (and as much as 73%) less likely to change in comparison to prices ending with other digits, and (iv) the average size of the price change is higher if the price ends with 9 in comparison to non-9-ending prices. This link between price points and price rigidity is robust across a wide range of prices, products, product categories, and retail formats. We offer a behavioral explanation for the findings.Price Point; 9-Ending Price; Price Rigidity; Rational Inattention; E-Commerce

Holiday Price Rigidity and Cost of Price Adjustment

The Thanksgiving-Christmas holiday period is a major sales period for US retailers. Due to higher store traffic, tasks such as restocking shelves, handling customers’ questions and inquiries, running cash registers, cleaning, and bagging, become more urgent during holidays. As a result, the holiday-period opportunity cost of price adjustment may increase dramatically for retail stores, which should lead to greater price rigidity during holidays. We test this prediction using weekly retail scanner price data from a major Midwestern supermarket chain. We find that indeed, prices are more rigid during holiday periods than non-holiday periods. For example, the econometric model we estimate suggests that the probability of a price change is lower during holiday periods, even after accounting for cost changes. Moreover, we find that the probability of a price change increases with the size of the cost change, during both, the holiday as well as non-holiday periods. We argue that these findings are best explained by higher price adjustment costs (menu cost) the retailers face during the holiday periods. Our data provides a natural experiment for studying variation in price rigidity because most aspects of market environment such as market structure, industry concentration, the nature of long-term relationships, contractual arrangements, etc., do not vary between holiday and nonholiday periods. We, therefore, are able to rule out these commonly used alternative explanations for the price rigidity, and conclude that the menu cost theory offers the best explanation for the holiday period price rigidity.

Price Points and Price Rigidity

We study the link between price points and price rigidity, using two datasets: weekly scanner data, and Internet data. We find that: “9” is the most frequent ending for the penny, dime, dollar and ten-dollar digits; the most common price changes are those that keep the price endings at “9”; 9-ending prices are less likely to change than non-9-ending prices; and the average size of price change is larger for 9-ending than non-9-ending prices. We conclude that 9-ending contributes to price rigidity from penny to dollar digits, and across a wide range of product categories, retail formats and retailers.Price Point, 9-Ending Price, Price Rigidity

Price Points and Price Rigidity

We offer new evidence on the link between price points and price rigidity using two datasets. One is a large weekly transaction price dataset, covering 29 product categories over an eight-year period from a large U.S. supermarket chain. The other is from the Internet, and includes daily prices over a two-year period for 474 consumer electronic goods covering ten product categories, from 293 different Internet retailers. Across the two datasets, we find that (i) 9 is the most frequently used price-ending for the penny, dime, dollar and the ten-dollar digits, (ii) the most common price changes are in multiples of dimes, dollars, and ten-dollars, (iii) 9-ending prices are at least 24% (and as much as 73%) less likely to change in comparison to prices ending with other digits, and (iv) the average size of the price change is higher if the price ends with 9 in comparison to non-9-ending prices. This link between price points and price rigidity is robust across a wide range of prices, products, product categories, and retail formats. We offer a behavioral explanation for the findings.

Stuck at Zero: Price Rigidity in a Runaway Inflation

We use micro level retail price data from convenience stores to study the link between 0-ending price points and price rigidity during a period of a runaway inflation, when the annual inflation rate was in the range of 60%–430%. Surprisingly, we find that 0-ending prices are less likely to adjust, and when they do adjust, the average adjustments are larger. These findings suggest that price adjustment barriers associated with round prices are strong enough to cause a systematic delay in price adjustments even in a period of a runaway inflation, when 85 percent of the prices change every month

End of 9-Endings, Price Recall, and Price Perceptions

Prices that end with 9, also known as psychological price points, are common, comprising about 70% of the retail prices. They are also more rigid than other prices. We take advantage of a natural experiment to document an emergence of a new price ending that has the same effects as 9-endings. In January 2014, the Israeli government passed a new regulation prohibiting the use of non 0-ending prices, bringing an end to 9-ending prices. We find that seven months after 9-ending prices have disappeared, 90-ending prices acquired the same status as 9-ending prices had before the new regulation was adopted. Thus, 90-ending prices became the new psychological price points, partially eliminating the regulation’s intended effect

End of 9-Endings and Price Perceptions

We take advantage of a natural experiment to document an emergence of a new price ending that has the same effects as 9-endings. In January 2014, the Israeli parliament has passed a law prohibiting the use of non 0-ending prices. We find that one year after 9-ending prices have disappeared, 90-ending prices acquired the same status as 9-ending prices had before the law was passed. 90-ending prices became the new psychological price points. The retailers and the shoppers both reacted to the regulatory intervention optimally, which has eliminated the regulation’s intended effect