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Intermediated Quantities and Returns

Staff Report 405 | Revised September 1, 2008

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Authors

Rajnish Mehra

Facundo Piguillem

Intermediated Quantities and Returns

Abstract

The difference between average borrowing and lending rates in the United States is over 2 percent. In spite of this large difference, there is over 1.7 times GNP in 2007 of intermediated borrowing and lending between households. In this paper a model is developed consistent with these facts. The only difference within an age cohort is preferences for bequests. Individuals with little or no bequest motive are lenders, while individuals with strong bequest motive are borrowers and owners of productive capital. Given no aggregate uncertainty, the return on equity is the same as the household borrowing rate. The government can borrow at the household lending rate, so there is a 2 percent equity premium in our world with no aggregate uncertainty. We examine the distribution and life cycle patterns of asset holding and consumption and find there is large dispersion in asset holdings and little in consumption.

This paper was subsequently published as Working Paper 685 under the title "Costly Financial Intermediation in Neoclassical Growth Theory."