Stochastic house appreciation and optimal mortgage lending

Tomasz Piskorski, Alexei Tchistyi

Research output: Contribution to journalArticlepeer-review

Abstract

We characterize the optimal mortgage contract in a continuous-time setting with stochastic growth in house price and income, costly foreclosure, and a risky borrower who requires incentives to repay his debt. We show that many features of subprime loans can be consistent with properties of the optimal contract and that, when house prices decline, mortgage modification can create value for borrowers and lenders. Our model provides a number of empirical predictions that relate the features of mortgage contracts originated in a housing boom and the extent of their modification in a slump to location and borrowers' characteristics.

Original languageEnglish (US)
Pages (from-to)1407-1446
Number of pages40
JournalReview of Financial Studies
Volume24
Issue number5
DOIs
StatePublished - May 2011
Externally publishedYes

ASJC Scopus subject areas

  • Accounting
  • Finance
  • Economics and Econometrics

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