In this paper, we present advanced analytical formulas for SABR model option pricing. The first technical result consists of a new exact formula for the zero correlation case. This closed form is a simple 2D integration of elementary functions, particularly attractive for numerical...

The complexity of the world oil market has increased dramatically in recent years and new approaches are needed to understand, model, and forecast oil prices today. Many models have been explored and most of the papers and modeling projects referenced in this paper identify their own...

This paper presents a mathematical model to evaluate the risks of arbitration in contractual disputes to decide whether or not to raise an arbitration case for a claim. It adds the ingredient of a regret theory approach for taking that decision, if an amicable settlement amount is not agreed....

The fundamental aim of our analysis is to explain the microcredit impact for the exclusion. Otherwise, excluded is an unemployment that needs a job to live. Micro finance considers a market to employ outreach with micro loan product. Then, their beneficiary found a solution to be included in the...

Este artículo tiene como propósito hacer una estimación econométrica del modelo de gasto público y crecimiento económico de Barro (1990). La estimación se realizó mediante el método generalizado de los momentos (GMM) para la economía colombiana durante el período 1950-2010. Los...

We develop a technique of parameter averaging and Markovian projection on a quadratic volatility model based on a term-by-term matching of the asymptotic expansions of option prices in volatilities. In doing so, we revisit the procedure of asymptotic expansion and show that the use of the...

Although typically overlooked, many purchase datasets exhibit a high incidence of products with zero sales. We propose a new estimator for the Random-Coefficients Logit demand system for purchase datasets with zero-valued market shares. The identification of the demand parameters is based on a...

The modeling of tenor basis spreads is of central importance to CVA for tenor basis swaps. Such spreads are typically positive, suggesting a natural lower bound. We introduce a multi- curve Cheyette-style model with lower bounds enforced through level dependence in spread volatilities. The model...

Markovian Projection is an optimal approximation of a complex underlying process with a simpler one, keeping essential properties of the initial process. The Heston process, as the Markovian Projection target, is an example.In this article, we generalize the results of Markovian Projection onto...

We develop a systematic approach to the reduction of dimensionality of smile-enabled models by projecting them onto a displaced version of the two-dimensional Heston process. The projection is the key for deriving efficient, analytical approximations to European option prices in such models....