A aleatoriedade do passeio na BOVESPA: testando a eficiência do mercado acionário brasileira

Este artigo investiga versões do modelo de passeio aleatório dos preços de ativos em diversos horizontes de tempo, para carteiras diversificadas de ações no mercado brasileiro. Evidências contrárias a tal modelo são observadas nos horizontes diário e semanal, caracterizados por persistência. As evidências são mais fracas em períodos mais recentes. Encontramos também sazonalidades diárias, incluindo o efeito segunda-feira, e mensais. Adicionalmente, um padrão de assimetria de autocorrelações cruzadas de primeira ordem entre os retornos de carteiras de firmas agrupadas segundo seu tamanho também é observado, indicando no caso de retornos diários e semanais que retornos de firmas grandes ajudam a prever retornos de firmas pequenas. Evidências de não linearidades nos retornos são observadas em diversos horizontes de tempo.

Bias from ignoring price dispersion in demand estimation

Consumers often pay different prices for the same product bought in the same store at the same time. However, the demand estimation literature has ignored that fact using, instead, aggregate measures such as the “list” or average price. In this paper we show that this will lead to biased price coefficients. Furthermore, we perform simple comparative statics simulation exercises for the logit and random coefficient models. In the “list” price case we find that the bias is larger when discounts are higher, proportion of consumers facing discount prices is higher and when consumers are more unwilling to buy the product so that they almost only do it when facing discount. In the average price case we find that the bias is larger when discounts are higher, proportion of consumers that have access to discount are similar to the ones that do not have access and when consumers willingness to buy is very dependent on idiosyncratic shocks. Also bias is less problematic in the average price case in markets with a lot of bargain deals, so that prices are as good as individual. We conclude by proposing ways that the econometrician can reduce this bias using different information that he may have available.

Estimation of random coefficients logit demand models: an application to the Brazilian fixed income fund market

Estimation of demand and supply in differentiated products markets is a central issue in Empirical Industrial Organization and has been used to study the effects of taxes, merges, introduction of new goods, market power, among others. Logit and Random Coefficients Logit are examples of demand models used to study these effects. For the supply side it is generally supposed a Nash equilibrium in prices. This work presents a detailed discussion of these models of demand and supply as well as the procedure for estimation. Lastly, is made an application to the Brazilian fixed income fund market.