We study the optimal regulation of a cooperative credit society which has private information on the intrinsic quality of its loan portfolio (adverse selection) and where the cooperative’s choice of effort to improve this quality cannot be observed by the regulator (moral hazard). We...

We analyze the optimal regulation of a MFI that has private information on the intrinsic quality of its loan portfolio (adverse selection) and where the MFI’s choice of effort to improve this quality cannot be observed by the regulator (moral hazard). In designing optimal contracts the...

In this paper, we propose methods of the determination of the rank of matrix. We consider a rank test for an unobserved matrix for which an estimate exists having normal asymptotic distribution of order N1/2 where N is the sample size. The test statistic is based on the smallest estimated...

In this paper, we develop methods of the determination of the rank of random matrix. Using the matrix perturbation theory to construct or find a suitable bases of the kernel (null space) of the matrix and to determine the limiting distribution of the estimator of the smallest singular values. We...