Analysis of the implicit upwind finite volume scheme with rough coefficients

We study the implicit upwind finite volume scheme for numerically approximating the linear continuity equation in the low regularity DiPerna-Lions setting. That is, we are concerned with advecting velocity fields that are spatially Sobolev regular and data that are merely integrable. We prove that on unstructured regular meshes the rate of convergence of approximate solutions generated by the upwind scheme towards the unique distributional solution of the continuous model is at least 1/2. The numerical error is estimated in terms of logarithmic Kantorovich-Rubinstein distances and provides thus a bound on the rate of weak convergence.Comment: 27 pages. To appear in Numerische Mathemati

Hidden gems and borrowers with dirty little secrets: investment in soft information, borrower self-selection and competition

This paper empirically examines the role of soft information in the competitive interaction between relationship and transaction banks. Soft information can be interpreted as a private signal about the quality of a firm that is observable to a relationship bank, but not to a transaction bank. We show that borrowers self-select to relationship banks depending on whether their privately observed soft information is positive or negative. Competition affects the investment in learning the private signal from firms by relationship banks and transaction banks asymmetrically. Relationship banks invest more; transaction banks invest less in soft information, exacerbating the selection effect. Finally, we show that firms where soft information was important in the lending decision were no more likely to default compared to firms where only financial information was used

Dividend policy, corporate control and tax clienteles : the case of Germany

This paper studies the impact of the concentration of control, the type of controlling shareholder and the dividend tax preference of the controlling shareholder on dividend policy for a panel of 220 German firms over 1984-2005. While the concentration of control does not have an effect on the dividend payout, there is strong evidence that the type of controlling shareholder matters as family controlled firms have high dividend payouts whereas bank controlled firms have low dividend payouts. However, there is no evidence that the dividend preference of the large shareholder has an impact on the dividend decision. JEL Classification: G32, G35 Keywords: Dividend Policy, Payout Policy, Lintner Dividend Model, Tax Clientele Effects, Corporate Governanc

Do Managers Reciprocate? Field Experimental Evidence From a Competitive Market

A substantive amount of lab experimental evidence suggests that the norm of reciprocity has important economic consequences. However, it is unclear whether the norm of reciprocity survives in a natural and competitive environment with experienced agents. For this purpose we analyze data from a natural field experiment conducted with sales representatives who were instructed to randomly distribute product samples as gifts to their business partners. We find that distributing gifts to store managers boosts sales revenue substantially, which is consistent with the notion of reciprocity. However, the results underline that the nature of the relationship between market participants crucially affects the prevalence of reciprocal behavior.reciprocity, gift exchange, field experiment