An approximation approach to Constant Maturity Swaps (CMS) pricing in the separable one-factor Gaussian LLM and HJM models is presented. The approximation used is a Taylor expansion on the swap rate as a function of a random variable which is intuitively similar to a (short) rate. This approach...

An explicit pricing formula for inflation bond options is proposed in the Jarrow-Yildirim model. The formula resembles that for coupon bond options in the HJM model.

Even if the name futures indicates a simple instrument, bond futures are complex. Several special features are embedded in the instrument. In particular the future is not written on one specific bond but on a basket of bonds, from which the short side can deliver the cheapest. This paper focuses...

A simple exotic option (floor on rolled deposit) is studied in the shifted log-normal Libor Market (LMM) and Gaussian HJM models. The shifted log-normal LMM exhibits a controllable volatility skew. An explicit approach is used for both models. Using approximations the price in the LMM is...

Bond futures are liquid but complex instruments. Here they are analysed in a one-factor Gaussian HJM model. The in-the-model delta and out-of-the-model delta and gamma are studied. An explicit formula is provided for in-the-model delta. The out-of-the-model delta and gamma are equivalent to...

By drawing on neurological and psychological theories of learning, our study introduces a new conceptual framework to analyse the role learning plays in knowledge and skill acquisition. Learning is modelled through four mechanisms defined as individuals' participation in formal, non-formal, and...

Assume that two players have strict rankings over an even number of indivisible items. We propose algorithms to find allocations of these items that are maximin—maximize the minimum rank of the items that the players receive—and are envy-free and Pareto-optimal if such allocations exist. We...

In January 1999, Hugo Chavez was sworn like the president of the Republic of Venezuela. In the late 1999 was approved the Bolivarian Constitution and was the beginning of the V Republic. Currently, after 14 years, Venezuela is governed by his politic party. This article starts a research work to...

This paper intends to explore the utilization of entropy through football, generalizing the interpretation of entropy. We consider it as a measure of competitiveness of football leagues and relate it to the UEFA ranking, which ranks yearly the performance of countries in European Cups. We expect...

In this paper we investigate how the different characteristics of European multinational firms affect their decision to locate in different foreign markets. Considering the existence of n geographically separated markets with different attributes, in terms of entry or fixed costs, variable...