c) A risk-neutral competitive market maker clears the market for trading in a stock after observing the incoming orders from a noise trader and an informed trader (who perfectly knows the true value of the stock). The noise trader buys and sells 1 share of the stock with equal probability, whereas the informed trader buys the stock if the value is $14 (high) and sells the stock if the value is $5 (low). The market maker believes initially that there is a 45% probability of high value and a 55% probability of low value. What profits can the informed trader expect to make in this market?
c) A risk-neutral competitive market maker clears the market for trading in a stock after observing the incoming orders from a noise trader and an informed trader (who perfectly knows the true value of the stock). The noise trader buys and sells 1 share of the stock with equal probability, whereas the informed trader buys the stock if the value is $14 (high) and sells the stock if the value is $5 (low). The market maker believes initially that there is a 45% probability of high value and a 55% probability of low value. What profits can the informed trader expect to make in this market?
Financial Reporting, Financial Statement Analysis and Valuation
8th Edition
ISBN:9781285190907
Author:James M. Wahlen, Stephen P. Baginski, Mark Bradshaw
Publisher:James M. Wahlen, Stephen P. Baginski, Mark Bradshaw
Chapter5: Risk Analysis
Section: Chapter Questions
Problem 11QE: Market equity beta measures the covariability of a firms returns with all shares traded on the...
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(c) A risk-neutral competitive market maker clears the market for trading in a stock after observing the incoming orders from a noise trader and an informed trader (who perfectly knows the true value of the stock). The noise trader buys and sells 1 share of the stock with equal probability, whereas the informed trader buys the stock if the value is $14 (high) and sells the stock if the value is $5 (low). The market maker believes initially that there is a 45% probability of high value and a 55% probability of low value. What profits can the informed trader expect to make in this market?
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