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Valuation of Mortgage Servicing Rights with Foreclosure Delay and Forbearance Allowed
Authors:Che-Chun Lin  Ting-Heng Chu  Larry J Prather
Institution:(1) Department of Quantitative Finance, National Tsing Hua University, Hsin Chu, Taiwan, 30013;(2) Department of Economics, Finance, and Urban Studies, East Tennessee State University, Box 70686 Johnson City, TN, 37614
Abstract:We develop a bivariate binomial model to price Mortgage Servicing Rights (MSRs). Our model is an improvement over previous MSR pricing models by explicitly incorporating the realistic assumptions that there are additional costs involved in servicing delinquent loans. In addition to the Hilliard et al. mortgage-pricing tree, we extend additional sub-branches to model the borrower's decision of prepayment, cure, and foreclosure after a loan becomes delinquent. We then investigate how the value of the Mortgage Servicing Right varies with interest rate volatility, house price volatility, delinquency options, deficiency judgments, default penalties, forbearance periods, and speed of adjustments factors. JEL Classification: C15, G21
Keywords:mortgage servicing right  prepayment  default
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