This chapter surveys theoretical research on the long-term performance of fixed-mix investment strategies. These self-financing strategies rebalance the portfolio over time so as to keep constant the proportions of wealth invested in various assets. The main result is that wealth can be grown...

We examine the interplay between event risk, transaction costs and predictability on the dynamic asset allocation of an investor with discrete trading opportunities. The model is calibrated to the U.S. stock market and a Gauss-Hermite quadrature approach is used to solve the investor's dynamic...

Two major financial market complexities are transaction costs and uncertain volatility, and we analyze their joint impact on the problem of portfolio optimization. When volatility is constant, the transaction costs optimal investment problem has a long history, especially in the use of...

The expected returns have to be converged to the single rate in the same equity market through arbitrage as the return difference provides an arbitrage opportunity, which recurs to narrow any differentials. The beta is eventually unnecessary as a composition of the equity cost computation...

Compared to using the variance of index returns, managing investment by the average of the variance of index components (AV) produces significant return and ratio performance improvements. AV managed investment in the market index takes less extreme leverage making it more practical and cheaper...

S&P 500 Index option-based volatility indexes have untenable risk-return profiles. These volatility indexes are not designed with consideration of important real-world risk characteristics of options and fail to represent volatility as a differentiated asset-class with relevance to the long-term...

Three concepts: stochastic discount factors, multi-beta pricing and mean-variance efficiency, are at the core of modern empirical asset pricing. This chapter reviews these paradigms and the relations among them, concentrating on conditional asset-pricing models where lagged variables serve as...

In this note we prove a simple formula to compute the Incremental Volatility, i.e. the change in the portfolio volatility due to the removal of one asset from the portfolio. The common practice adopted in the literature and in the industry is to avoid the full recalculation of the portfolio...

The low degree of stock market participation (SMP) is one of the big puzzles in finance. Numerous determinants have been proposed. We put these determinants into a structure that is derived from a standard static portfolio model. Then we discuss arguments put forward regarding specific SMP...