Creating-a-Credit-Scoring-Model-to-obtain-the-probability-of-default

We have baseline and loan performance information for approximately 6000 loans. The target variable (BAD) is a binary variable indicating whether an applicant eventually defaulted or was seriously delinquent. We have 12 recorded variables for each applicant. Given these information we want to obtain a predictive model which outputs 'probability of default'. Our model should be interpretable and statistically sound so that we can give reasons for rejections.