Optimization problem for a portfolio with an illiquid asset: Lie group analysis

Optimal allocation-consumption problem for a portfolio with an illiquid asset

Portfolio Claustrophobia: Asset Pricing in Markets with Illiquid Assets

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Portfolio Choice with Illiquid Assets

We investigate how the inability to continuously trade an asset affects portfolio choice. We extend the standard Merton model to include an illiquid asset that can only be traded at infrequent, stochastic intervals. Because consumption is financed through liquid wealth only, the presence of illiquidity leads to increased and state-dependent risk aversion. Illiquidity leads to under-investment i...

An Algorithm for Portfolio Optimization Problem

Portfolio optimization is to find the stock portfolio minimizing the risk for a required return or maximizing the return for a given risk level. The seminal work in this field is the meanvariance model formulated as a quadratic programming problem. Since it is not computationally practical to solve the original model directly, a number of alternative models have been proposed. In this paper, am...

Option Pricing with an Illiquid Underlying Asset Market∗

We examine how price impact in the underlying asset market affects the replication of a European contingent claim. We obtain a generalized Black-Scholes pricing PDE and establish the existence and uniqueness of a classical solution to this PDE. We show that unlike the case with transaction costs, replication in the presence of price impact is always cheaper than superreplication. This model imp...