The Valuation at Origination of Fixed Rate Mortgages with Default and Prepayment PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Valuation at Origination of Fixed Rate Mortgages with Default and Prepayment PDF full book. Access full book title The Valuation at Origination of Fixed Rate Mortgages with Default and Prepayment by James B. Kau. Download full books in PDF and EPUB format.
Author: James B. Kau Publisher: ISBN: Category : Languages : en Pages :
Book Description
This paper develops a model to rationally price fixed rate mortgages, using the arbitrage principles of option pricing theory. The paper incorporates amortization, prepayment and default in valuing the mortgage. Having completely specified the model, numerical procedures value the different features of the mortgage contract under a variety of economic conditions. The necessity of having both the interest rate and the house price as explanatory variables, due to the interaction of default and prepayment, is demonstrated. The numerical solutions presented center around mortgage pricing at origination. Thus, variations in the equilibrium contract rate are examined for differing economic conditions and changes in the contract. Finally, by presenting a complete model, the paper yields insights for the existence of common institutional practices.
Author: James B. Kau Publisher: ISBN: Category : Languages : en Pages :
Book Description
This paper develops a model to rationally price fixed rate mortgages, using the arbitrage principles of option pricing theory. The paper incorporates amortization, prepayment and default in valuing the mortgage. Having completely specified the model, numerical procedures value the different features of the mortgage contract under a variety of economic conditions. The necessity of having both the interest rate and the house price as explanatory variables, due to the interaction of default and prepayment, is demonstrated. The numerical solutions presented center around mortgage pricing at origination. Thus, variations in the equilibrium contract rate are examined for differing economic conditions and changes in the contract. Finally, by presenting a complete model, the paper yields insights for the existence of common institutional practices.
Author: John Krainer Publisher: DIANE Publishing ISBN: 143793384X Category : Law Languages : en Pages : 45
Book Description
The authors develop an equilibrium valuation model that incorporates optimal default to show how mortgage yields and lender recovery rates on defaulted mortgages depend on initial loan-to-value (LTV) ratios. The analysis treats both the frictionless case and the case in which borrowers and lenders incur deadweight costs upon default. The model is calibrated using data on California mortgages. Given reasonable parameter values, the model does a surprisingly good job fitting the risk premium in the data for high LTV mortgages. Thus, from an ex ante perspective, the authors do not find strong evidence of systematic underpricing of default risk in the run-up to the housing market crisis. Charts and tables.
Author: B. W. Ambrose Publisher: Springer ISBN: 0230608914 Category : Business & Economics Languages : en Pages : 293
Book Description
In response to growing interest in household finance, this collection of essays with a foreword by John Y. Campbell, studies household and consumer use of credit instruments. It shows how individual consumers and households utilize various credit alternatives in managing their consumption and savings and suggests areas for future research.
Author: Nick J. Sharp Publisher: ISBN: Category : Languages : en Pages :
Book Description
This paper considers in detail a realistic mortgage valuation model (including the potential for early prepayment and the risk of default), based on stochastic house-price and interest-rate models. As well as the development of a highly accurate numerical scheme to tackle the resulting partial differential equations, this paper also exploits singular perturbation theory (a mathematically rigorous procedure, based on the idea of the smallness of the volatilities), whereby mortgage valuation can be accurately approximated by very simple closed-form solutions. Determination of equilibrium contract rates, previously requiring many computational hours is reduced to just a few seconds, rendering this a highly useful portfolio management tool; these approximations compare favorably with the full numerical solutions. The method is of wide applicability in US or other mortgage markets and is demonstrated for UK fixed-rate mortgages, including insurance and coinsurance.
Author: Frank J. Fabozzi Publisher: John Wiley & Sons ISBN: 1118044711 Category : Business & Economics Languages : en Pages : 302
Book Description
An in-depth look at the latest innovations in mortgage-backed securities The largest sector of the fixed-income market is the mortgage market. Understanding this market is critical for portfolio managers, as well as issuers who must be familiar with how these securities are structured. Mortgage-Backed Securities is a timely guide to the investment characteristics, creation, and analysis of residential real estate-backed securities. Each chapter contains cutting-edge information for investors, traders, and other professionals involved in this market, including discussions of structuring mortgage products-such as agency CMOs and new types of mortgages-and an in-depth explanation of the concept of option-adjusted spreads and other analytical concepts used to assess relative value.
Author: Glenn M. Schultz Publisher: John Wiley & Sons ISBN: 1119221536 Category : Business & Economics Languages : en Pages : 419
Book Description
A complete guide to investing in and managing a portfolio of mortgage- and asset-backed securities Mortgage- and asset-backed securities are not as complex as they might seem. In fact, all of the information, financial models, and software needed to successfully invest in and manage a portfolio of these securities are available to the investment professional through open source software. Investing in Mortgage and Asset-Backed Securities + Website shows you how to achieve this goal. The book draws entirely on publicly available data and open source software to construct a complete analytic framework for investing in these securities. The analytic models used throughout the book either exist in the quantlib library, as an R package, or are programmed in R and incorporated into the analytic framework used. Examines the valuation of fixed-income securities—metrics, valuation framework, and return analysis Covers residential mortgage-backed securities—security cash flow, mortgage dollar roll, adjustable rate mortgages, and private label MBS Discusses prepayment modeling and the valuation of mortgage credit Presents mortgage-backed securities valuation techniques—pass-through valuation and interest rate models Engaging and informative, this book skillfully shows you how to build, rather than buy, models and proprietary analytical platforms that will allow you to invest in mortgage- and asset-backed securities.
Author: Andrew Davidson Publisher: Oxford University Press ISBN: 0199363684 Category : Business & Economics Languages : en Pages : 465
Book Description
Mortgage-backed securities (MBS) are among the most complex of all financial instruments. Analysis of MBS requires blending empirical analysis of borrower behavior with the mathematical modeling of interest rates and home prices. Over the past 25 years, Andrew Davidson and Alexander Levin have been at the leading edge of MBS valuation and risk analysis. Mortgage Valuation Models: Embedded Options, Risk, and Uncertainty contains a detailed description of the sophisticated theories and advanced methods that the authors employ in real-world analyses of mortgage-backed securities. Issues such as complexity, borrower options, uncertainty, and model risk play a central role in the authors' approach to the valuation of MBS. The coverage spans the range of mortgage products from loans and TBA (to-be-announced) pass-through securities to subordinate tranches of subprime-mortgage securitizations. With reference to the classical CAPM and APT, the book advocates extending the concept of risk-neutrality to modeling home prices and borrower options, well beyond interest rates. It describes valuation methods for both agency and non-agency MBS including pricing new loans; approaches to prudent risk measurement, ranking, and decomposition; and methods for modeling prepayments and defaults of borrowers. The authors also reveal quantitative causes of the 2007-09 financial crisis and provide insight into the future of the U.S. housing finance system and mortgage modeling as this field continues to evolve. This book will serve as a foundation for the future development of models for mortgage-backed securities.
Author: Jimmy E. Hilliard Publisher: ISBN: Category : Languages : en Pages :
Book Description
This paper uses a bivariate binomial options pricing technique to value the prepayment and default options in a fixed-rate mortgage. The American style options are dependent on two stochastic variables: (1) house price, (2) one year spot rate. The paper uses the standard lognormal process for house price and the CIR square-root process for interest rates. By forcing the two underlying state variables to undergo transformations, two new uncorrelated variables with constant volatilities are established. With constant volatilities, a computationally simple bivariate binomial tree is formed which greatly reduces the complexity of working with two state variables and is pedagogicallyuseful. Using this procedure, the price of any real estate contingent claim whose value is dependent on the one year spot rate and house price can be determined. Results are compared with those from a finite difference model.
Author: James B. Kau
Author: James B. Kau
Author: John Krainer
Author: 
Author: B. W. Ambrose
Author: Nick J. Sharp
Author: Frank J. Fabozzi
Author: Glenn M. Schultz
Author: Andrew Davidson
Author: Jimmy E. Hilliard
Author: