We derive the total variance risk premium for an index in the stochastic environment of Driessen, Maenhout and Vilkov (2009) and correct the previous authors omission of certain components which contribute significantly to index option expected returns. This study provides a mathematically...

VaR_Delta-Normal fails in two counts: subadditivity and potentially producing losses larger than its portfolio value. This paper solves the second inconsistency developing formulas derived from a put option, named PVaR_Delta-Normal and Put_Expected_Shortfall, PSF_Delta-Normal; the latter also...

Movements in prices depend both on innovations to cashflows and changes in discount rates, which can be modelled as fluctuations in the cross-sectional distribution of wealth across an unchanging set of investment objectives. This paper explores the risk that arises when investors do not have...

Many financial instruments are designed with embedded leverage such as options and leveraged exchange traded funds (ETFs). Embedded leverage alleviates investors' leverage constraints and, therefore, we hypothesize that embedded leverage lowers required returns. Consistent with this hypothesis,...

We show that log-dividends (d) and log-prices (p) are cointegrated, but, instead of de facto assuming the stationarity of the classical log dividend–price ratio, we allow the data to reveal the cointegration vector between d and p. We define the modified dividend–price ratio (mdp), as the...

This paper investigates the seasonality patterns within various asset classes. We find that a strategy that buys the assets with the largest same-calendar-month past average returns (up to ten years) and sells the assets with the smallest same-calendar-month past average returns, earns...

A classic result by Merton (1973) is that, except just before expiration or dividend payments, one should never exercise a call option and never convert a convertible bond. We show theoretically that this result is overturned when investors face frictions. Early option exercise can be optimal...

We consider second, third, fourth and fifth order stochastic dominance (SSD, TSD, FOSD and FISD, respectively) as well as decreasing absolute risk aversion (DARA) stochastic dominance (DSD). For comparison with DSD we also consider stochastic dominance (ESD) based on CARA utility functions....

Are options on exchange-traded products (ETPs) and indexes consistently priced internationally? The cross-section of international option returns exhibits a mispricing by sorting on ex-ante volatility returns. In addition, selling international ETP options and buying their corresponding index...