Several studies incorporating estimated volatilities into option pricing formulas have appeared in the literature. However, the models described in these studies tend to perform quite poorly in out-of-sample tests. In particular, significant departures from the observed prices can be seen for...

We consider the behavior of the price of a continuously stored commodity, for which discounted price is a non-constant martingale, and thus not-predictable. We prove that the discounted price realization is within any given neighborhood of zero, with any given probability less than 1, beyond a...

This article analyzes the specifications of option pricing models based on time-changed Levy processes. We classify option pricing models based on (i) the structure of the jump component in the underlying return process, (ii) the source of stochastic volatility, and (iii) the specification of...

The aim of this work is to study the pricing problem for derivatives depending on two stocks driven by a bidimensional Lévy process. The main idea is to apply Girsanov's Theorem for Lévy processes, in order to reduce the posed problem to the pricing of a one Lévy driven stock in an auxiliary...

In this paper we investigate portfolio coskewness using a quadratic market model as return generating process. It is shown that portfolios of small (large) firms have negative (positive) coskewness with market. An asset pricing model including coskewness is tested through the restrictions it...

We study how heterogeneous beliefs affect returns and examine whether heterogeneous beliefs are a priced factor in traditional asset pricing models. To accomplish this task, we suggest new empirical measures based on the disagreement among analysts about expected (short-term and long-term)...

Most investors purchase securities knowing they will resell those securities in the future. Uncertainty about the preferences of future trading counter-parties causes randomness in future resale prices that we call liquidity risk. It is natural to suppose that investors are asymmetrically...

Implied volatility generated from observed option prices reflects market expectations of future volatility. This paper determines whether or not, implied volatilities, and hence market expectations, contain any genuinely forward looking information not already captured by historical information....

The fact that the expected payoffs on assets and call options are infinite under most log-stable distributions led Paul Samuelson and Robert Merton to conjecture that assets and derivatives could not be reasonably priced under these distributions, despite their many other attractive features....

We provide an analytical and flexible framework to evaluate incentive options. Our model not only considers vesting periods and trading and hedging restrictions on the holders, but also specifically includes provisions of reloading and resetting to capture the fact that firms tend to grant more...