Z-Transform and preconditioning techniques for option pricing

In the present paper, we convert the usual n-step backward recursion that arises in option pricing into a set of independent integral equations by using a z-transform approach. In order to solve these equations, we consider different quadrature procedures that transform the integral equation into a linear system that we solve by iterative algorithms and we study the benefits of suitable preconditioning techniques. We show the relevance of our procedure in pricing options (such as plain vanilla, lookback, single and double barrier options) when the underlying evolves according to an exponential Lévy process.     

Migration and Regional Trade Agreements: A (New) Gravity Estimation

This paper investigates the role of regional trade agreements (RTAs) on bilateral international migration. Building on a gravity model for migration, our econometric strategy controls for the multilateral resistance to migration and solves the zero migration flows problem by using a censored quantile regression approach. Further, the endogeneity problem of RTAs in migration settlement is addressed by using instrumental variable censored quantile regression. Our results suggest that the presence of a RTA stimulates the migration stocks among member countries. The pro‐migration effect of RTAs is magnified if the agreement includes also provisions easing bureaucratic procedures for visa and asylum among member countries. Finally, we find an asymmetric effect of RTAs across the quantiles of the distribution of migration settlements.     

Is inequality the price to pay for higher growth in middle-income countries?

An evolutionary two-sector model is used to study the impact of skill-biased technological change on the growth and inequality paths of a middle-income developing economy. We present four scenarios resulting from changes in a country’s structural conditions and the characteristics of the shock. We show that wage inequality is neither a necessary nor a sufficient condition for growth. A Kuznets dynamic may emerge in the long run in the case of successful catching-up to the high-growth steady state. However, this only happens if adjustment costs significantly hamper the process of skill upgrade. The business cycle and the process of structural change may give rise to sizeable rises in wage inequality in the short term, even when the economy does not break out from the low-growth steady state.     

Studying co-movements in large multivariate data prior to multivariate modelling

For non-stationary vector autoregressive models (VAR hereafter, or VAR with moving average, VARMA hereafter), we show that the presence of common cyclical features or cointegration leads to a reduction of the order of the implied univariate autoregressive-integrated-moving average (ARIMA hereafter) models. This finding can explain why we identify parsimonious univariate ARIMA models in applied research although VAR models of typical order and dimension used in macroeconometrics imply non-parsimonious univariate ARIMA representations.     

Price Signaling and Return Chasing: International Evidence from Maturing REIT Markets

This article examines the liquidity of international real estate securities across 10 markets over the period 1990–2015. We apply and compare results for four different measures of liquidity, and find that while liquidity has increased consistently, wide variations still exist across markets, with the United States and Japan in the lead. Our results also suggest that the introduction of local REIT regimes did not have any pervasive effects on stock liquidity. When we study the relationship between liquidity and returns, we document new and consistent evidence for international return chasing behavior, whose pattern is a function of local market efficiency, listed real estate market maturity and stock ownership dispersion. The introduction of REIT regimes seems to weaken the importance of extra performance over and above general equity returns as investors tend to allocate funds to real estate securities within real estate rather than equity portfolios.     

Modelling Intra-Group Relationships

Within a group of companies, a model is given for management of the relationships between the parent company and its subsidiaries. This is particularly relevant for groups originating from mergers and takeovers, because firms acquired often differ substantially in organizational structure from each other and from the parent company. The model provides a means of harmonizing the organizational structures of parent company and subsidiaries, so as to provide a complete coverage of necessary activities without duplication, and a means of identifying which activities should, in economic terms, be centralized by the parent company, and which should be delegated to the subsidiary. Finally, there is an empirical application of the model to one of the principal Italian banking groups.     

A Reduced Rank Regression Approach to Coincident and Leading Indexes Building*

This paper proposes a reduced rank regression framework for constructing a coincident index (CI) and a leading index (LI). Based on a formal definition that requires that the first differences of the LI are the best linear predictor of the first differences of the CI, it is shown that the notion of polynomial serial correlation common features can be used to build these composite variables. Concepts and methods are illustrated by an empirical investigation of the US business cycle indicators.