Abstract

A mortgage borrower has several options once a foreclosure proceedings is initiated, mainly default and prepayment. Using a sample of FHA mortgage loans, we develop a dependent competing risks framework to examine the determinants of time to default and time to prepayment once the foreclosure proceedings is initiated. More importantly, we examine the interdependence between default and prepayment, through both the correlation of the unobserved heterogeneity terms and the preventive behavior of the individual mortgage borrowers. We find that time to default and time to prepayment are affected by several factors, such as the Loan-To-Value ratio (LTV), FICO score and unemployment rate. In addition, we find strong evidence that supports the existence of interdependence between the default and prepayment hazards through both the correlation of the unobserved heterogeneity terms and the preventive behavior of individual mortgage borrowers. We show that neglecting the interdependence through the preventive behavior of the individual mortgage borrowers can lead to biased estimates and misleading inference.

Highlights

  • A mortgage borrower is technically delinquent once a monthly mortgage payment due date is missed

  • We specify a dependent competing risks framework to examine the interdependence between the default and prepayment hazards through both the correlation of the unobserved heterogeneity terms associated with each risk and the preventive behavior of individual mortgage borrowers

  • Using a panel data of Federal Housing Administration (FHA) mortgage loans, we specify a dependent competing risks framework to examine the determinants of the default and prepayment hazards once the foreclosure proceedings is initiated

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Summary

Introduction

A mortgage borrower is technically delinquent once a monthly mortgage payment due date is missed. The works in Deng et al (2000) and Pennington-Cross (2006) use a competing risks model, where they account for one possible type of interdependence between the default and prepayment hazards This was through the correlation of associated unobserved heterogeneity terms for the purpose of capturing the unobservable loan-specific characteristics (such as the effect of borrowers’ intentions and strategies) that affect both default and prepayment hazards. We specify a dependent competing risks framework to examine the interdependence between the default and prepayment hazards through both the correlation of the unobserved heterogeneity terms associated with each risk and the preventive behavior of individual mortgage borrowers.

Data Description and Summary Statistics
Econometric Methodology
Model Specification
The Likelihood Function We derive the likelihood function as follows:
Empirical Analysis
Findings
Conclusions

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