Pricing Mortgage-Backed Securities in a Multifactor Interest Rate Environment: A Multivariate Density Estimation Approach

Multivariate density estimation (MDE) suggests that mortgage-backed security (MBS) prices can be well described as a function of the level and slope of the term structure. We analyze bow this function varies across MBSs with different coupons. An important finding is that the interest rate level proxies for the moneyness of the option, the expected level of prepayments, and the average life of the cash flows, while the term structure slope controls for the average rate at which these cash flows should be discounted. Though the origination and prepayment behavior of mortgages differ substantially across coupons, there remains an unexplained common factor in MBS prices. This factor does not seem to be related to the usual suspects and therefore presents a puzzle to financial economists. Coauthors are Robert F. Whitelaw, Matthew Richardson, and Richard Stanton. Article published by Oxford University Press on behalf of the Society for Financial Studies in its journal, The Review of Financial Studies.

[1]  V. A. Epanechnikov.  Non-Parametric Estimation of a Multivariate Probability Density , 1969 .

[2]  T. Cover.  A HIERARCHY OF PROBABILITY DENSITY FUNCTION ESTIMATES , 1972 .

[3]  L. Breiman,et al.  Variable Kernel Estimates of Multivariate Densities , 1977 .

[4]  Eduardo S. Schwartz,et al.  A continuous time approach to the pricing of bonds , 1979 .

[5]  John J. McConnell,et al.  Valuation of GNMA Mortgage-Backed Securities , 1981 .

[6]  A. Gallant,et al.  On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form , 1981 .

[7]  A. Gallant,et al.  Unbiased determination of production technologies , 1982 .

[8]  F. Fabozzi.  The Handbook of Mortgage-Backed Securities , 1985 .

[9]  S. Ross,et al.  AN INTERTEMPORAL GENERAL EQUILIBRIUM MODEL OF ASSET PRICES , 1985 .

[10]  Eduardo S. Schwartz,et al.  Determinants of GNMA Mortgage Prices , 1985 .

[11]  Chester Spatt,et al.  An Analysis of Mortgage Contracting: Prepayment Penalties and the Due-on-Sale Clause , 1985 .

[12]  Y. Hong,et al.  Non-Parametric Estimation and the Risk Premium , 1988 .

[13]  R. Stambaugh.  The information in forward rates: Implications for models of the term structure , 1988 .

[14]  Valuing mortgage loan servicing , 1988 .

[15]  Eduardo S. Schwartz,et al.  Prepayment and the Valuation of Mortgage-Backed Securities , 1989 .

[16]  Richard Roll,et al.  Prepayments on fixed-rate mortgage-backed securities , 1989 .

[17]  Sheridan Titman,et al.  Valuing Commercial Mortgages: An Empirical Investigation of the Contingent‐Claims Approach to Pricing Risky Debt , 1989 .

[18]  William W. Bartlett,et al.  Mortgage-Backed Securities: Products, Analysis, Trading , 1989 .

[19]  Darrell Duffie,et al.  Theory of Valuation: Frontiers of Modern Financial Theory , 1989 .

[20]  George Tauchen,et al.  Quadrature-Based Methods for Obtaining Approximate Solutions to Nonlinear Asset Pricing Models , 1991 .

[21]  George G. Pennacchi.  Identifying the Dynamics of Real Interest Rates and Inflation: Evidence Using Survey Data , 1991 .

[22]  Risk, Return, and Hedging of Fixed-Rate Mortgages , 1991 .

[23]  A. Ronald Gallant,et al.  On the asymptotic normality of Fourier flexible form estimates , 1991 .

[24]  Robert B. Litterman,et al.  Common Factors Affecting Bond Returns , 1991 .

[25]  David W. Scott,et al.  Multivariate Density Estimation: Theory, Practice, and Visualization , 1992, Wiley Series in Probability and Statistics.

[26]  J. Kau,et al.  A Generalized Valuation Model for Fixed-Rate Residential Mortgages , 1992 .

[27]  D. W. Scott,et al.  Multivariate Density Estimation, Theory, Practice and Visualization , 1992 .

[28]  Ren-Raw Chen,et al.  Pricing Interest Rate Options in a Two-Factor Cox–Ingersoll–Ross model of the Term Structure , 1992 .

[29]  Richard Stanton,et al.  A New Strategy for Dynamically Hedging Mortgage-Backed Securities , 1995 .

[30]  Yacine Aït-Sahalia.  Nonparametric Pricing of Interest Rate Derivative Securities , 1995 .

[31]  Richard Stanton.  Rational Prepayment and the Valuation of Mortgage-Backed Securities , 1995 .

[32]  D. Duffie,et al.  A YIELD-FACTOR MODEL OF INTEREST RATES , 1996 .

[33]  Yacine Aït-Sahalia.  Nonparametric Pricing of Interest Rate Derivative Securities , 1996 .