This paper provides a novel five-component decomposition of optimal dynamic portfolio choice. It reveals the simultaneous impacts from market incompleteness and wealth-dependent utilities. The decomposition leads to implementation via either closed-form solutions or Monte Carlo simulations. With...

This paper reviews contributions to portfolio theory and practice by William T. Ziemba and his colleagues. The paper covers static and dynamic portfolio and capital growth theory along with real applications to asset and asset-liability management and various types of trading and prediction and...

The Kelly Capital Growth Investment Strategy (KCGIS) is to maximize the expected utility of nal wealth with a logarithmic utility function. This approach dates to Bernoulli's 1738 suggestion of log as the utility function arguing that marginal utility was proportional to the reciprocal of...

We develop and implement methods for determining whether introducing new securities or relaxing investment constraints improves the investment opportunity set for prospect investors. We formulate a new testing procedure for prospect spanning for two nested portfolio sets based on subsampling and...

Using properties of the cdf of a random variable defined as a saddle-type point of a real valued continuous stochastic process, we derive first-order asymptotic properties of tests for stochastic spanning w.r.t. a stochastic dominance relation. First, we define the concept of Markowitz...

We explore how the demand for a risky asset can be decomposed into an investment effect and a hedging effect by all risk-averse investors. This question has been shown to be complex when considered outside of the mean-variance framework. We restrict dependence among returns on the risky assets...

This paper provides an axiomatic foundation of the measurement of diversification in a one-period portfolio theory under the assumption that the investor has complete information about the joint distribution of asset returns. Four categories of portfolio diversification measures can be...

We examine the portfolio-choice puzzle posed by Canner, Mankiw, and Weil (1997). The idea is to test a conclusion reached by Elton and Gruber (2000), stating that a bonds/stocks ratio which decreases in relation to risk tolerance does not necessarily mean a contradiction of modern...

It is widely believed that the 1/n portfolio provides a good ex-post performance. Several studies have compared the 1/n portfolio with respect to a set of optimal mean-variance policies to prove or disprove the superiority of the 1/n portfolio. However, this approach is not likely to yield a...

This paper provides an axiomatic foundation of the measurement of diversification in a one-period portfolio theory under the assumption that the investor has complete information about the joint distribution of asset returns. Four categories of portfolio diversification measures can be...