This paper extends Merton’s continuous time (instantaneous) mean-varianceanalysis and the mutual fund separation theory. Given the existence of a Marko-vian state price density process, the optimal portfolios from concave utility max-imization are instantaneously mean-variance efficient...

This paper considers the problem of investment of capital in risky assets in adynamic capital market in continuous time. The problem addressed is the control of risk, and in particular the risk associated with errors in the estimation of returns on assets. The framework for investment risk is a...

This paper explores the structure of optimal investment strategies using stochastic programming and duality theory in investment portfolios containing options for a hedge fund manager who attempts to beat a benchmark. Explicit optimal conditions for option investments are obtained for several...

This paper presents a theoretical study of how incentives affect hedge fund risk and returns and an empirical study of the performance of a large group of operating hedge funds. Most hedge fund managers receive a flat fee plus a share of the returns above a certain benchmark. We investigate how...

This paper derives fundemental arbitrage pricing results in finite dimensions in a simple unified framework using Tucker's theorem of the alternative. Frictionless results plus those with dividends, periodic interest payments, transaction costs, different interest rates for lending and...