We design average portfolio insurance (API) strategies with an investment floor and a buffer that is a power of a geometric average of the underlying asset price. We prove that API strategies are optimal for investors with hyperbolic absolute risk aversion who become progressively more risk...

In this paper we study the stochastic behavior of the prices and volatilities of a sample of six of the most important commodity markets and we compare these properties to those of the equity market. We observe a substantial degree of heterogeneity in the behavior of the series. Our findings...

This paper introduces a new class of generalized beta-generated distributions that have very flexible shapes and tractable properties. Their quantiles and moments have a simple closed form and they are maximum entropy distributions under three simple conditions. Two special cases are the...

We model investment opportunities with a single source of uncertainty, i.e. the market price of the investment. Investment cost can be predetermined or perfectly correlated with the market price. The common paradigm for risk-neutral real-option pricing is a special case en- compassed within our...

Most banks employ historical simulation for Value-at-Risk (VaR) calculations, where VaR is computed from a lower quantile of a forecast distribution for the portfolio’s profit and loss (P&L) that is constructed from a single, multivariate historical sample on the portfolio’s risk factors....

Recent research advocates volatility diversification for long equity investors. It can even be justified when short-term expected returns are highly negative, but only when its equilibrium return is ignored. Its advantages during stock market crises are clear but we show that the high...

It is widely accepted that some of the most accurate predictions of aggregated asset returns are based on an appropriately specified GARCH process. As the forecast horizon is greater than the frequency of the GARCH model, such predictions either require time-consuming simulations or they can be...

This study investigates the financial effects of additions to and deletions from two of the most well-known social stock indices: the Calvert social index and the MSCI KLD 400 index. By examining not only short-term abnormal returns but also trading activity, earnings per share and long-term...

This paper examines the ability of twelve different continuous-time two-factor models with mean-reverting stochastic volatility to capture the dynamics of the S&P 500 and three European equity indices. The stochastic volatility models are the square root variance, GARCH, and log volatility...

We study the empirical performance of the classical minimum-variance hedging strategy, comparing several econometric models for estimating hedge ratios of crude oil, gasoline and heating oil crack spreads. Given the great variability and large jumps in both spot and futures prices, great care is...