A variant of the Glosten-Milgrom model. The underlying stock can take on one of three values: V < V ∗ < V . with probabilities δV , δV ∗ and δV = 1 − δV − δV ∗ respectively. • The informed trader can decide whether to buy, sell or make no transaction. • In the event that a trade would yield zero or negative profit, the informed trader will not trade. • The uninformed traders always trade. • The model is dynamic, that is, traders are repeatedly drawn and are given the opportunity to trade with the dealer. • The dealer is a monopolist. 1.1 What is the optimal strategy of the informed trader? 1.2 What is the optimal pricing scheme of the dealer? 1.3 If the dealer executes trader with many traders over time, what happens to the bid and ask prices?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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A variant of the Glosten-Milgrom model. The underlying stock can take on one of three values: V < V ∗ < V . with probabilities δV , δV ∗ and δV = 1 − δV − δV ∗ respectively. • The informed trader can decide whether to buy, sell or make no transaction. • In the event that a trade would yield zero or negative profit, the informed trader will not trade. • The uninformed traders always trade. • The model is dynamic, that is, traders are repeatedly drawn and are given the opportunity to trade with the dealer. • The dealer is a monopolist. 1.1 What is the optimal strategy of the informed trader? 1.2 What is the optimal pricing scheme of the dealer? 1.3 If the dealer executes trader with many traders over time, what happens to the bid and ask prices?
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