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Loan pricing under estimation risk

  • Richard Neuberg EMAIL logo and Lauren Hannah
Published/Copyright: May 12, 2017
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Abstract

Financial product prices often depend on unknown parameters. Their estimation introduces the risk that a better informed counterparty may strategically pick mispriced products. Understanding estimation risk, and how to properly price it, is essential. We discuss how total estimation risk can be minimized by selecting a probability model of appropriate complexity. We show that conditional estimation risk can be measured only if the probability model predictions have little bias. We illustrate how a premium for conditional estimation risk may be determined when one counterparty is better informed than the other, but a market collapse is to be avoided, using a simple example from pricing regime credit scoring. We empirically examine the approach on a panel data set from a German credit bureau, where we also study dynamic dependencies such as prior rating migrations and defaults.

MSC 2010: 91; 62

Acknowledgements

The authors thank Paul Glasserman for many valuable comments, and Ji Zhu for sharing his implementation of kernelized logistic regression in R.

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Received: 2016-3-22
Revised: 2017-3-18
Accepted: 2017-3-20
Published Online: 2017-5-12
Published in Print: 2017-6-1

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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