We remove the technical assumption $\gamma>0$ imposed by Dai et. al. who consider the optimal investment and consumption decision of a CRRA investor facing proportional transaction costs and finite time horizon. As a by-product, we obtain an estimate on the optimal consumption

We consider the optimal consumption and investment with transaction costs on multiple assets, where the prices of risky assets jointly follow a multi-dimensional geometric Brownian motion. We characterize the optimal investment strategy and in particular prove by rigorous mathematical analysis...

This paper concerns continuous-time optimal investment and consumption decision of a CRRA investor who faces proportional transaction costs and finite time horizon. In the no consumption case, it has been studied by Liu and Loewenstein (2002) and Dai and Yi (2006). Mathematically, it is a...

Extant theories on the disposition effect are largely silent on most of the related trading patterns, including the V-shape results for probabilities of buying and selling against unrealized profit. On the other hand, portfolio rebalancing and learning have been shown to be important, even for...

Banks' assets are opaque, and therefore, we model their true accounting asset values as partially observed variables. We derive a stochastic control model to optimize banks' dividend and recapitalization policies in this situation, and calibrate that to a sample of U.S. banks. By the calibrated...

We consider a long-term portfolio choice problem with two illiquid and correlated assets and formulate it as an eigenvalue problem in the form of a variational inequality. The eigenvalue is associated with the portfolio’s optimal long-term growth rate, and the free boundaries implied by the...

In contrast to traditional financial advising, robo-advising needs to elicit investors’ risk profile via several simple online questions and provide advice consistent with conventional investment wisdom, e.g., rich and young people should invest more in risky assets. To meet the two...

We develop a model where a realization-utility investor (Barberis and Xiong, 2009, 2012; Ingersoll and Jin, 2013) optimally targets her liquid-illiquid wealth ratio at a constant w∗. By saving in the risk-free asset (w∗ 0), she makes smaller bets in the illiquid asset and realizes gains/losses...

The large amount of leverage used by institutional investors and retail investors, corporations and households, is frequently cited as a major contributor of the current financial crisis. Recent events highlight the importance of leverage management, and the painful decision to de-leverage,...

Many finance problems can be formulated as a singular stochastic control problem, where the associated Hamilton-Jacobi-Bellman (HJB) equation takes the form of variational inequality and its penalty approximation equation is linked to a regular control problem. The penalty method, as a finite...