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Market Making with Discrete Prices

Review of Financial Studies 1998 11(1), 81-109
Exchange-mandated discrete pricing restrictions create a wedge between the underlying equilibrium price and the observed price. This wedge permits a competitive market maker to realize economic profits that could help recoup fixed costs. The optimal tick size that maximizes the expected profits of the market maker can equal to $1/8 for reasonable parameter values. The optimal tick size is decreasing in the degree of adverse selection. Discreteness per se can cause time-varying bid-ask spreads, asymmetric commissions, and market breakdowns. Discreteness, which imposes additional transaction costs, reduces the value of private information. Liquidity traders can benefit under certain conditions.

Market Making with Discrete Prices

Review of Financial Studies 1998 11(1), 81-109
[Exchange-mandated discrete pricing restrictions create a wedge between the underlying equilibrium price and the observed price. This wedge permits a competitive market maker to realize economic profits that could help recoup fixed costs. The optimal tick size that maximizes the expected profits of the market maker can be equal to $1/8 for reasonable parameter values. The optimal tick size is decreasing in the degree of adverse selection. Discreteness per se can cause time-varying bid-ask spreads, asymmetric commissions, and market breakdowns. Discreteness, which imposes additional transaction costs, reduces the value of private information. Liquidity traders can benefit under certain conditions.]

Ex-Dividend Arbitrage in Option Markets

Review of Financial Studies 2010 23(1), 271-303
[We examine the behavior of call options surrounding the underlying stock's ex-dividend date. The evidence is inconsistent with the predictions of a rational exercise policy; a significant fraction of the open interest remains unexercised, resulting in a windfall gain to option writers. This triggers a sophisticated trading scheme that enables short-term traders to receive a significant fraction of the gains. The trading scheme inflates reported volume and distorts its traditional relations to liquidity. The dramatic increases in the volume of trade on the last cum-dividend day are facilitated by limitations on transaction costs passed by the various option exchanges.]

Ex-dividend Arbitrage in Option Markets

Review of Financial Studies 2010 23(1), 271-303
We examine the behavior of call options surrounding the underlying stock's ex-dividend date. The evidence is inconsistent with the predictions of a rational exercise policy; a significant fraction of the open interest remains unexercised, resulting in a windfall gain to option writers. This triggers a sophisticated trading scheme that enables short-term traders to receive a significant fraction of the gains. The trading scheme inflates reported volume and distorts its traditional relations to liquidity. The dramatic increases in the volume of trade on the last cum-dividend day are facilitated by limitations on transaction costs passed by the various option exchanges.