We analyse a portfolio optimization problem for a long-term investor in the presence of stock market crises. A crisis includes a crash of the stock market price, a sharp increase of its volatility and dramatic deterioration of liquidity. We model the stock market illiquidity by means of convex...

It is a well-known anomaly that prices of put options are too high when options are out-of-the-money. This paper presents a simple general equilibrium model of the market where European put options become substantially overpriced when they are out-of-the-money. Overpricing is due to the presence...

A portfolio optimization problem for an investor who trades T-bills and a mean-reverting stock in the presence of proportional and convex transaction costs is considered. The proportional transaction cost represents a bid-ask spread, while the convex transaction cost is used to model delays in...