Assessing the effect of auditing on bank’s financial performance: A panel regression analysis, evidence from Ghana

The paper aimed to find if the internal audit committees and their independence have any significant effect on banks’ financial performance. The data used in our paper is an annual time series data spanning 2014 and 2019. The study conducted a panel data regression analysis after going through the Hausman test to select the Random Effect model for estimation. The paper again used data six banks selected from the PWC-2019 banking survey. The study presents results that showed that there are some statistically insignificant effects of our main regressor thus Audit, bank’s financial performance for selected banks within the period of study. The study rather found bank’s cost-to-income ratio have a significant negative effect on financial performance. This is true because the more efficient a bank is, the more it cuts down on avoidable costs to increase its financial performance. Keywords: Audit Independence, Financial Performance and Reporting, Bank Profitability. DOI: 10.7176/RJFA/12-16-10 Publication date:August 31st 202

Representer Theorems in Banach Spaces: Minimum Norm Interpolation, Regularized Learning and Semi-Discrete Inverse Problems

Learning a function from a finite number of sampled data points (measurements) is a fundamental problem in science and engineering. This is often formulated as a minimum norm interpolation (MNI) problem, a regularized learning problem or, in general, a semi discrete inverse problem (SDIP), in either Hilbert spaces or Banach spaces. The goal of this paper is to systematically study solutions of these problems in Banach spaces. We aim at obtaining explicit representer theorems for their solutions, on which convenient solution methods can then be developed. For the MNI problem, the explicit representer theorems enable us to express the infimum in terms of the norm of the linear combination of the interpolation functionals. For the purpose of developing efficient computational algorithms, we establish the fixed-point equation formulation of solutions of these problems. We reveal that unlike in a Hilbert space, in general, solutions of these problems in a Banach space may not be able to be reduced to truly finite dimensional problems (with certain infinite dimensional components hidden). We demonstrate how this obstacle can be removed, reducing the original problem to a truly finite dimensional one, in the special case when the Banach space is ℓ1(N)