Optimal Securitization with Heterogeneous Investors

Semyon Malamud, Huaxia Rui and Andrew B. Whinston
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Semyon Malamud: Ecole Polytechnique Federale de Lausanne; Centre for Economic Policy Research (CEPR); Swiss Finance Institute
Huaxia Rui: University of Rochester - Simon Business School
Andrew B. Whinston: Andrew B. Whinston

No 10-10, Swiss Finance Institute Research Paper Series from Swiss Finance Institute

Abstract: We solve the problem of optimal securitization for an issuer facing heterogeneous investors with arbitrary time and risk preferences. We show that the optimal securitization is characterized by multiple nonlinear tranches, and each investor gets a portfolio of these tranches. In particular, when all agents have CARA utilities, the linear tranching is optimal, with the number of tranches being less than or equal to the number of investors. To the best of our knowledge, this is the first model in the literature that explains the appearance of multiple tranches in the security design and the relation of the tranche thresholds to microeconomic characteristics. We show that the boundaries of the tranches can be efficiently calculated through a fixed point of a contraction mapping, and we develop new powerful techniques that are generally applicable for numerical calculation of constrained Pareto-efficient allocations. We use these contraction mapping techniques to derive a number of comparative static results for optimal securitization. The model generates theoretical predictions and numerical simulations that agree with several recent empirical findings concerning the CDO structure.

Keywords: securitization; tranching; heterogeneity; mortgage backed securities; asset backed securities (search for similar items in EconPapers)
JEL-codes: G21 G24 G32 (search for similar items in EconPapers)
Pages: 66 pages
Date: 2010-03
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:chf:rpseri:rp1010

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