Beyond cash-additive risk measures: when changing the numéraire fails

We discuss risk measures representing the minimum amount of capital a financial institution needs to raise and invest in a pre-specified eligible asset to ensure it is adequately capitalized. Most of the literature has focused on cash-additive risk measures, for which the eligible asset is a risk-free bond, on the grounds that the general case can be reduced to the cash-additive case by a change of numéraire. However, discounting does not work in all financially relevant situations, especially when the eligible asset is a defaultable bond. In this paper, we fill this gap by allowing general eligible assets. We provide a variety of finiteness and continuity results for the corresponding risk measures and apply them to risk measures based on value-at-risk and tail value-at-risk on L ^p spaces, as well as to shortfall risk measures on Orlicz spaces. We pay special attention to the property of cash subadditivity, which has been recently proposed as an alternative to cash additivity to deal with defaultable bonds. For important examples, we provide characterizations of cash subadditivity and show that when the eligible asset is a defaultable bond, cash subadditivity is the exception rather than the rule. Finally, we consider the situation where the eligible asset is not liquidly traded and the pricing rule is no longer linear. We establish when the resulting risk measures are quasiconvex and show that cash subadditivity is only compatible with continuous pricing rules.     

Trade openness reduces growth volatility when countries are well diversified

This paper addresses the mechanisms by which trade openness affects growth volatility. Using a diverse set of export concentration measures, we present strong evidence pointing to an important role for export diversification in conditioning the effect of trade openness on growth volatility. Indeed, the effect of openness on volatility is shown to be negative for a significant proportion of countries with relatively diversified export baskets.     

Fiscal Sustainability in the EU

We assessed the sustainability of fiscal policy in the 28 European Union countries over the 1980-2015 years. Panel unit root tests in the presence of cross-sectional dependence showed that government revenues, expenditures, the primary balance, and debt were non-stationary series. However, cointegration tests reveled that a long-run relationship exists between government revenues and expenditures as well as between government primary deficit and debt. The results of causality tests were in line with the neutrality hypothesis: government revenues do not cause the expenditures, and vice versa. Furthermore, mixture models analyses indicated the presence of three homogeneous clusters, one of which included Portugal, Ireland, Italy, Greece, and Spain (PIIGS), whose coefficient of 0.68 indicates the absence of sustainability, since government expenditures grow faster than revenues.     

Capital requirements and claims recovery: A new perspective on solvency regulation

Protection of creditors is a key objective of financial regulation. Where the protection needs are high, that is, in banking and insurance, regulatory solvency requirements are an instrument to prevent that creditors incur losses on their claims. The current regulatory requirements based on value at risk (V@R) and average value at risk (AV@R) limit the probability of default of financial institutions, but they fail to control the size of recovery on creditors' claims in the case of default. We resolve this failure by developing a novel risk measure, recovery V@R. Our conceptual approach is flexible and allows the construction of general recovery risk measures for various risk management purposes. We provide detailed case studies and applications. We show that recovery risk measures can be used for performance-based management of business divisions of firms and discuss how to calibrate recovery risk measures to historical regulatory standards. Finally, we analyze how recovery risk measures react to the joint distributions of assets and liabilities on firms' balance sheets and compare the corresponding capital requirements with the current regulatory benchmarks based on V@R and AV@R.