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Loan origination decisions using a multinomial scorecard

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Abstract

This paper explores the case of a consumer loan portfolio manager incorporating the output of a multinomial classifier in the acquisition decision process. We suppose the portfolio manager has access to a pool of applicants and is required to make an accept/reject decision on each applicant. We assume each applicant’s characteristics are used as inputs into the classifier with the output score used to aid in the decision making. Past literature on consumer lending decisions considered the case of a portfolio manager with access to a binomial classifier. For the case of a portfolio manager with a multinomial classifier, we show an efficient policy may be achieved through transforming the score and applying a single cutoff-score strategy on the new score.

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Acknowledgments

This work is based on the research supported in part by the National Research Foundation of South Africa for the Grant No. 93649. Any opinion, finding and conclusion or recommendation expressed in this material is that of the author(s) and the NRF does not accept any liability in this regard.

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Correspondence to Kanshukan Rajaratnam.

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Gao, L., Rajaratnam, K. & Beling, P. Loan origination decisions using a multinomial scorecard. Ann Oper Res 243, 199–210 (2016). https://doi.org/10.1007/s10479-015-1799-3

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