This article is centred on the volatility of commodity prices. It presents the instruments offering a protection against volatility and shows how they can be employed. The first section exposes these derivative instruments. It distinguishes them in step with the need they respond and the way...

The article focuses on the leverage effect modeling as a form of stochastic processes through the volatility model. It states that leverage effect is characterized by a subsequent stock price dropping and increase in volatility. It mentions that the first model that describes the volatility and...

We propose an evaluation method for financial assets subject to default risk, when investors face imperfect information about the state variable triggering the default. The model we propose generalizes the one by Duffie and Lando (2001) in the following way:(i)it incorporates informational noise...

Portfolio theories are meant to provide a method for managing assets and constructing portfolios. Meanwhile, the mean-variance technique has been heavily criticized by some academics, and its application to real estate portfolio is questionable (Cheng and Liang, 2000). Indeed, the mean-variance...

We consider a multivariate financial market with proportional transaction costs as in Kabanov (1999). We study the problem of contingent claim pricing via utility maximization as in Hodges and Neuberger (1989). Using an exponential utility function, we derive a closed form characterization for...

We consider a financial market with costs as in Kabanov and Last (1999). Given a utility function defined on ${\mathbb R}$, we analyze the problem of maximizing the expected utility of the liquidation value of terminal wealth diminished by some random claim. We prove that, under the Reasonable...

We derive the implications from the absence of arbitrage in dynamic securities markets with bid-ask spreads. The absence of arbitrage is equivalent to the existence of at least an equivalent probability measure that transforms some process between the bid and the ask price processes of traded...

This paper examines how credit derivatives have changed the construction of an efficient portfolio. Credit derivatives provide a way of gaining exposure to credit risk alone, to the exclusion of interest rate risk. They also permit a relatively easy use of leverage. We examine two types of...

The authors examine the advantages of incorporating strategic exposure to equity volatility into the investment opportunity set of a long-term equity investor. They consider two standard volatility investments: implied volatility and volatility risk premium strategies. An analytical framework,...