Contrasts in the basins of attraction of structurally identical iterative root finding methods

A numerical comparison is performed between three methods of third order with the same structure, namely BSC, Halley’s and Euler–Chebyshev’s methods. As the behavior of an iterative method applied to a nonlinear equation can be highly sensitive to the starting points, the numerical comparison is carried out, allowing for complex starting points and for complex roots, on the basins of attraction in the complex plane. Several examples of algebraic and transcendental equations are presented.

Performance of european socially responsible funds during market crises: evidence from France

This paper investigates the performance, investment styles andmanagerial abilities of French socially responsible investment (SRI) funds investing in Europe during crisis and non-crisis periods. Our results show that SRI funds significantly underperformcharacteristics-matched conventional funds during non-crisis periods, but match the performance of their peers duringmarket downturns. The underperformance of SRI funds during good economic states is driven by funds that use negative screens, since funds that use only positive screens performsimilarly to conventional funds across differentmarket conditions. SRI and conventional funds showsignificant differences in risk exposures during non-crisis periods but exhibit much more similar investment styles during crises. Furthermore,we find little evidence of significant differences inmanagerial abilities during bad economic states. Yet, during non-crisis periods, SRI and conventional fund managers exhibit significantly different style-timing abilities and these differences are also related to screening strategies.