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This article reveals that the intensity of search determines whether illiquid currency options trade at premia or at discounts. For options in a standalone search market, illiquidity leads to price premia, as intermediating dealers, who are presumably short in the equilibrium, demand additional compensation. With the presence of listed options at exchanges, illiquidity results in price discounts, as dealers provide concessions for customers' alternative trading opportunities. The presence of substitutes changes the market outcome. Illiquidity premia and discounts coexist in a sufficiently one-sided market.
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Jungkyu Ahn (2024) studied this question.
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