TY - JOUR AU - Korteweg,Arthur AU - Sorensen,Morten TI - Estimating Loan-to-Value and Foreclosure Behavior JF - National Bureau of Economic Research Working Paper Series VL - No. 17882 PY - 2012 Y2 - March 2012 UR - http://www.nber.org/papers/w17882 L1 - http://www.nber.org/papers/w17882.pdf N1 - Author contact info: Arthur Korteweg Graduate School of Business Stanford University 518 Memorial Way Stanford, CA 94305-5015 Tel: 650/498-6993 Fax: 650/725-7979 E-Mail: korteweg@stanford.edu Morten Sorensen Columbia University Columbia Business School Uris Hall 802 3022 Broadway New York, NY 10027 Tel: 212/851-2446 E-Mail: ms3814@columbia.edu AB - We develop and estimate a unified model of house prices, loan-to-value ratios (LTVs), and trade and foreclosure behavior. House prices are only observed for traded properties, and trades are endogenous, creating sample-selection problems for traditional estimators. We develop a Bayesian filtering procedure to recover the price path for each individual property and produce selection-corrected estimates of historical LTVs and foreclosure behavior, both showing large unprecedented changes since 2007. Our model reduces the index revision problem by nearly half, and has applications in economics and finance (e.g., pricing mortgage-backed securities). ER -