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A two-stage stochastic integer programming approach

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Author Info
Laureano F. Escudero Bueno () (Centro de I.O. (Universidad Miguel Hernández), Elche, Alicante)
María Araceli Garín Martín () (Dpto. Economía Aplicada III (UPV/EHU), Bilbao)
María Merino Maestre () (Dpto. Matemátca Aplicada, Estadística e I.O. ( UPV/EHU), Leioa, Bizkaia)
Gloria Pérez Sainz de Rozas () (Dpto. Matemática Aplicada, Estadística e I.O. (UPV/EHU))

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Abstract

We present an algorithmic approach for solving two-stage stochastic mixed 0-1 problems. The first stage constraints of the Deterministic Equivalent Model have 0--1 variables and continuous variables. The approach uses the Twin Node Family (TNF) concept within the algorithmic framework so-called {Branch-and-Fix Coordination} for satisfying the {nonanticipativity} constraints, jointly with a Benders Decomposition scheme for solving a given {LP} model at each {TNF} integer set. As an illustrative case, the structuring of a portfolio of Mortgage-Backed Securities under uncertainty in the interest rate path along a given time horizon is used. Some computational experience is reported.

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Paper provided by Universidad del País Vasco - Departamento de Economía Aplicada III (Econometría y Estadística) in its series BILTOKI with number 200501.

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Date of creation: 07 Feb 2005
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Handle: RePEc:ehu:biltok:200501

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Postal: Dpto. de Econometría y Estadística, Facultad de CC. Económicas y Empresariales, Universidad del País Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain
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Related research
Keywords: Two stage programming; Benders decomposition; branch-and-fix coordination;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Yongheng Deng & John M. Quigley & Robert Van Order, . "Mortgage Terminations, Heterogeneity and the Exercise of Mortgage Options," Zell/Lurie Center Working Papers 322, Wharton School Samuel Zell and Robert Lurie Real Estate Center, University of Pennsylvania. [Downloadable!] (restricted)
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  2. Dunn, Kenneth B & McConnell, John J, 1981. "Valuation of GNMA Mortgage-Backed Securities," Journal of Finance, American Finance Association, vol. 36(3), pages 599-616, June. [Downloadable!] (restricted)
  3. Schwartz, Eduardo S & Torous, Walter N, 1989. " Prepayment and the Valuation of Mortgage-Backed Securities," Journal of Finance, American Finance Association, vol. 44(2), pages 375-92, June. [Downloadable!] (restricted)
  4. Stanton, Richard, 1995. "Rational Prepayment and the Valuation Mortgage-Backed Securities," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 8(3), pages 677-708. [Downloadable!] (restricted)
  5. Francis A. Longstaff, 2004. "Optimal Recursive Refinancing and the Valuation of Mortgage-Backed Securities," NBER Working Papers 10422, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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