1. CBA, Florida International University, Miami, FL 33199, USA;2. Statistical Laboratory, CMS, Cambridge University, Cambridge CB3 0WB, UK;3. School of Management, University of Texas at Dallas, Richardson, TX 75080, USA
Abstract:
We extend the theory of asymmetric information in mispricing models for stocks following geometric Brownian motion to constant relative risk averse investors. Mispricing follows a continuous mean-reverting Ornstein–Uhlenbeck process. Optimal portfolios and maximum expected log-linear utilities from terminal wealth for informed and uninformed investors are derived. We obtain analogous but more general results which nests those of Guasoni (2006) as a special case of the relative risk aversion approaching one.