We study a search and bargaining model of an asset market, where investors' heterogeneous valuations for the asset are drawn from an arbitrary distribution. Our solution technique makes the model fully tractable and allows us to provide a full characterization of the unique equilibrium, in closed-form, both in and out of steady-state. Using this characterization, we first establish that the model generates aggregate trading patterns that are consistent with those observed in many over-the-counter asset markets. Then, we show that the model can replicate empirical regularities reported from micro-level data sets, including the relationships between the length of the intermediation chains through which assets are reallocated, the network centrality of the dealers involved in these chains, and the markup charged on the asset being passed along the chain. Finally, we show that heterogeneity magnifies the price impact of search frictions, and that this impact is more pronounced on price levels than on price dispersion. Hence, using observed price dispersion to quantify the effect of search frictions on price discounts or premia can be misleading.
Julien Hugonnier Ecole Polytechnnique Fédérale de LausanneQuartier UNIL Dorigny Extranef #212 1015 Lausanne Switzerland and Swiss Finance Institute price discounts or premia can be misleading: price dispersion can essentially vanish while price levels are still far from their frictionless counterpart.Our model, which we formally describe in Section 2, starts with the basic building blocks of DGP. There is a measure one of investors who can hold either zero or one share of an asset in fixed supply. Investors have stochastic, time-varying utility types that generate heterogenous valuations for the asset. Each investor is periodically and randomly matched with another, and a transaction ensues if there are gains from trade, with prices being determined by Nash bargaining. Our point of departure from DGP is that we allow utility types to be drawn from an arbitrary distribution.Allowing for more than two types changes the nature of the analysis significantly, as it implies that individual investors now face ex ante uncertainty about the utility types of potential trading partners, and hence about the terms of trade. More precisely, the relevant state variable in our model is an infinite-dimensional object: the distributions of the utility types among investors that hold zero and one asset, respectively, over time.Despite this greater complexity, we show in Section 3 that the model remains fully tractable. In particular, we characterize the equilibrium, in closed form, both in and out of the steady state. This requires deriving explicit solutions for the joint distributions of asset holdings and utility types, and for investors' reservation values; both of these derivations are new to the literature. Moreover, in contrast to the usual guess-and-verify approach, we establish several elementary properties of reservation values directly-without making a priori assumptions on the direc...