2. Universidad Cardenal Herrera-CEU

In this paper, we explore two of the most relevant theories that explain financial policy in small and medium enterprises (SMEs): pecking order theory and trade-off theory. Panel data methodology is used to test the empirical hypotheses over a sample of 6482 Spanish SMEs during the five-year period 1994–1998. The results suggest that both theoretical approaches contribute to explain capital structure in SMEs. However, while we find evidence that SMEs attempt to achieve a target or optimum leverage (trade-off model), there is less support for the view that SMEs adjust their leverage level to their financing requirements (pecking order model).

The principal aim of this paper is to test how firm characteristics affect Small and Medium Enterprise (SME) capital structure. We carry out an empirical analysis over a panel data of 6482 non–financial Spanish SMEs along the five-year period 1994–1998, modelling the leverage ratio as a function of firm specific attributes hypothesized by capital structure theory. Our results suggest that non–debt tax shields and profitability are both negatively related to SME leverage, while size, growth options and asset structure influence positively on SME capital structure; they also confirm a maturity matching behaviour in this firm group.

This paper analyzes the performance of various asset classes traded in the Spanish Capital Market. We compare the relative behavior of stock and corporate bond market indices, risk factors, and option-based expected market risk premia of the IBEX-35 at alternative horizons. We finally discuss the spillover volatility connections between the stock market portfolio, the general index of corporate bonds, the long-term government bond, and risk-neutral volatility and skewness. The stock market index is a net sender of volatility to the rest of asset classes, especially during the Great Recession and the Eurozone debt crises. The government bond is a net sender of volatility to corporate bonds and risk-neutral volatility and skewness. In fact, during stressed periods, the returns of the government bond have a positive exposure to the market stock return, which suggests that the Spanish long-term bond is a risky asset rather than being a hedging asset. This fact, together with the strong counter-cyclical behavior of the expected market risk premium at any horizon, suggests that the Spanish corporations are badly affected during recessions with a negative impact on investment and output growth. It is not surprising how rapidly the Spanish economy deteriorates at the beginning of recessions. Note that the ultimate objective is to learn about the Spanish real economy through the lens of financial markets

This paper analyzes the factor structure and cross-sectional variability of a set of expected excess returns extracted from option prices and a non-parametric and out-of-sample stochastic discount factor. We argue that the existing potential segmentation between the equity and option markets makes advisable to avoid using only option prices to extract expected equity risk premia. This set of expected risk premia forecast significantly future realized returns, and the first two principal components explain 94.1% of the variability of expected returns. A multi-factor model with the market, quality, funding illiquidity, the default premium and the market-wide variance risk premium as factors explain significantly the cross-sectional variability of expected excess returns. The (asymptotically) different from zero adjusted cross-sectional R-squared statistic is 83.6%.

This paper studies the joint behavior of equity (VIX) and Treasury (MOVE) risk-neutral volatilities to understand the total and directional connectedness between both option-based implied volatilities, as well as their economic and monetary drivers. Moreover, we analyze whether risk aversion and financial, macroeconomic and policy uncertainty affect connectedness dynamics. Most of the time, but especially during bad economic times, we find significant net spillovers from Treasury to equity risk-neutral volatility. Future and contemporaneous good times increase the spillovers from VIX to MOVE, while bad economic times increase the directional connectedness from MOVE to VIX.

The main goal of this paper is to study the geometric structures associated with the representation of tensors in subspace based formats. To do this we use a property of the so-called minimal subspaces which allows us to describe the tensor representation by means of a rooted tree. By using the tree structure and the dimensions of the associated minimal subspaces, we introduce, in the underlying algebraic tensor space, the set of tensors in a tree-based format with either bounded or fixed tree-based rank. This class contains the Tucker format and the Hierarchical Tucker format (including the Tensor Train format). In particular, we show that the set of tensors in the tree-based format with bounded (respectively, fixed) tree-based rank of an algebraic tensor product of normed vector spaces is an analytic Banach manifold. Indeed, the manifold geometry for the set of tensors with fixed tree-based rank is induced by a fibre bundle structure and the manifold geometry for the set of tensors with bounded tree-based rank is given by a finite union of connected components where each of them is a manifold of tensors in the tree-based format with a fixed tree-based rank. The local chart representation of these manifolds is often crucial for an algorithmic treatment of high-dimensional PDEs and minimization problems. In order to describe the relationship between these manifolds and the natural ambient space, we introduce the definition of topological tensor spaces in the tree-based format. We prove under natural conditions that any tensor of the topological tensor space under consideration admits best approximations in the manifold of tensors in the tree-based format with bounded tree-based rank. In this framework, we also show that the tangent (Banach) space at a given tensor is a complemented subspace in the natural ambient tensor Banach space and hence the set of tensors in the tree-based format with bounded (respectively, fixed) tree-based rank is an immersed submanifold. This fact allows us to extend the Dirac-Frenkel variational principle in the bodywork of topological tensor spaces.