Sales and Consumer Inventory

Temporary price reductions (sales) are common for many goods and naturally result in large increase in the quantity sold. We explore whether the data support the hypothesis that these increases are, at least partly, due to dynamic consumer behavior: at low prices consumers stockpile for future consumption. This effect, if present, renders standard static demand estimates misleading, which has broad economic implications. We construct a dynamic model of consumer choice, use it to derive testable predictions and test these predictions using two years of scanner data on the purchasing behavior of a panel of households. The results support the existence of household stockpiling behavior and suggest that static demand estimates, which neglect dynamics, may overestimate price sensitiveness by up to a factor of 2 to 6.

Measuring the Implications of Sales and Consumer Inventory Behavior

Temporary price reductions (sales) are common for many goods and naturally result in large increases in the quantity sold. Demand estimation based on temporary price reductions may mis-measure the long run responsiveness to prices. In this paper we quantify the extent of the problem and assess its economic implications. We structurally estimate a dynamic model of consumer choice using two years of scanner data on the purchasing behavior of a panel of households. The results suggest that static demand estimates, which neglect dynamics: (i) overestimate own price elasticities by 30 percent; (ii) underestimate cross-price elasticities to other products by up to a factor of 5; and (iii) overestimate the substitution to the no purchase, or outside option, by over 200 percent.

Educational Opportunity and Income Inequality

Affordable higher education is, and has been, a key element of social policy in the United States with broad bipartisan support. Financial aid has substantially increased the number of people who complete university - generally thought to be a good thing. We show, however, that making education more affordable can increase income inequality. The mechanism that drives our results is a combination of credit constraints and the `signaling' role of education first explored by Spence (1973). When borrowing for education is difficult, lack of a college education could mean that one is either of low ability or of high ability but with low financial resources. When government programs make borrowing or lower tuition more affordable, high-ability persons become educated and leave the uneducated pool, driving down the wage for unskilled workers and raising the skill premium.

Efficient Sorting in a Dynamic Adverse Selection Model: The Hot Potato

We study the possibility of achieving efficiency in a dynamic adverse selection market for durable goods. The idea is to use the number of times a car has been traded (``vintage'') as a signal of its quality. Higher-valuation consumers experiment with younger vintages. We first exhibit an impossibility result: no choice of (re)sale prices can induce consumers to follow this experimentation policy. We then show that modified leasing contracts can be constructed so as to achieve efficiency if consumers are patient.

The Role of Leasing under Adverse Selection

Leasing contracts specify a rental rate and an option price at which the used good can be bought at the termination of the lease. This option price cannot be controlled when the car is sold. We show that in a world with symmetric information this additional control variable is useless; equilibrium allocations and profits to lessors are unaffected by the option prices. In contrast, under adverse selection, leasing contracts affect equilibrium allocations in a way that matches observed behavior in the car market. We show that a social planner can use leasing contracts to improve welfare but they are imperfect tools; they cannot generally achieve first best while other mechanisms can. We also show that a producer with market power can benefit from leasing contracts for two reasons: better pricing of the option of keeping the used good, and market segmentation. Moreover, despite the fact that lessors could structure contracts to prevent adverse selection (by raising the option price so high that no lessee keeps the used good) we show that this is not in their interest; a keeping option will always be included in some contracts.

Intertemporal Price Discrimination in Storable Goods Markets

We study intertemporal price discrimination when consumers can store for future consumption needs. To make the problem tractable we offer a simple model of demand dynamics, which we estimate using market level data. Optimal pricing involves temporary price reductions that enable sellers to discriminate between price sensitive consumers, who anticipate future needs, and less price-sensitive consumers. We empirically quantify the impact of intertemporal price discrimination on profits and welfare. We find that sales: (1) capture 25-30% of the profit gap between non-discriminatory and third degree price discrimination profits, and (2) increase total welfare.

Estimating Multiple-Discrete Choice Models: An Application to Computeri-zzation Returns

This paper develops a multiple-discrete choice model for the analysis of demand of differentiated products. Users maximize profits by choosing the number of units of each brand they purchase. Multiple-unit as well as multiple-brand purchases are allowed. These two features distinguish this model from classical discrete choice models which consider only a single choice among mutually exclusive alternatives. Model parameters are estimated using the simulated method of moments technique. Both requirements - microfoundations and estimability -are imposed in order to exploit the available micro level data on personal computer purchases. The estimated demand structure is used to assess welfare gains from computerization and technological innovation in peripherals industries. The estimated return on investment in computers is 90%. Moreover, a 10% increase in the performance to price ratio of microprocessors leads to a 4% gain in the estimated end user surplus.

Adverse Selection in Durable Goods Markets

An undesirable feature of Akerlof style models of adverse selection is that ownership of" used cars is independent of preferences and is therefore ad hoc. We present a dynamic model" that incorporates the market for new goods. Consumers self-select into buying new or used" goods making ownership of used goods endogenous. We show that, in contrast with Akerlof and" in agreement with reality, the used market never shuts down and that the volume of trade can be" quite substantial even in cases with severe informational asymmetries. By incorporating the" market for new goods, the model lends itself to a study of the effects of adverse selection on" manufacturers' incentives. We find that manufacturers may gain from adverse selection. We" also give an example in which the market allocation under adverse selection is socially optimal. " An extension of the model to a world with many brands that differ in reliability leads to testable" predictions of the effects of adverse selection. We show that unreliable car brands have steeper" price declines and lower volumes of trade.

The Welfare Effects of Long-Term Health Insurance Contracts

Reclassification risk is a major concern in health insurance where contracts are typically one year in length but health shocks often persist for much longer. We use rich individual-level medical information from the Utah all-payer claims database to empirically study one possible solution: long-term insurance contracts. We characterize optimal long-term contracts with one-sided commitment theoretically, derive the contracts that are optimal for consumers in Utah, and assess the welfare level that a full implementation of these contracts could achieve relative to several key benchmarks. We find that dynamic contracts perform very well for the majority of the population, for example, eliminating over 94% of the welfare loss from reclassification risk for individuals who arrive on the market at age 25 in good health. However, dynamic contracts instead provide very little benefit to the worst pre-age-25 health risks. Their value is also substantially lower for consumers whose income growth with age is relatively high. With pre-age-25 insurance in place, consumers with flat net income prefer dynamic contracts to an ACA-like environment, but consumers with steeper income profiles prefer the ACA-like environment. Overall, we show that there are scenarios in which dynamic contracts can provide substantial welfare benefits, but that complementary policies are crucial for unlocking these benefits

Optimal Long-Term Health Insurance Contracts: Characterization, Computation, and Welfare Effects

Reclassification risk is a major concern in health insurance where contracts are typically one year in length but health shocks often persist for much longer. We theoretically characterize optimal long-term insurance contracts with one-sided commitment, and use our characterization to provide a simple computation algorithm for computing optimal contracts from primitives. We apply this method to derive empirically-based optimal long-term health insurance contracts using all-payers claims data from Utah, and then evaluate the potential welfare performance of these contracts. We find that optimal long-term health insurance contracts that start at age 25 can eliminate over 94% of the welfare loss from reclassification risk for individuals who arrive on the market in good health, but are of little benefit to the worst age-25 health risks. As a result, their ex ante value depends significantly on whether pre-age-25 health risk is otherwise insured. Their value also depends on individuals’ expected income growth