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The authors study optimal asset portfolio choice in a two-country search-theoretic model of monetary exchange. They allow assets not only to represent claims on future consumption, but also to serve as means of payment. Assuming foreign assets trade at a cost, they characterize equilibria in which different countries' assets arise as media of exchange in different types of trades. More frequent trading opportunities at home result in agents holding proportionately more domestic over foreign assets. Consequently, agents have larger claims to domestic over foreign consumption goods. Moreover, foreign assets turn over faster than home assets because the former have desirable liquidity properties, but unfavorable returns over time.
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