Abstract

We study risk-sharing equilibria with trading subject to small proportional transaction costs. We show that the frictionless prices also form an asymptotic equilibrium in the small-cost limit. To wit, there exist asymptotically optimal policies for all agents and a split of the trading cost according to their risk aversions for which the frictionless prices still clear the market. Starting from a frictionless equilibrium, this allows to study the interplay of volatility, liquidity, and trading volume.

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