The tractable "quadratic" class of growth and interest rate processes
By: Xavier Gabaix
Contributors: Massachusetts Institute of Technology. Dept. of Economics
Series: Working paper series / Massachusetts Institute of Technology, Dept. of Economics -- working paper 06-17; Working paper (Massachusetts Institute of Technology. Dept. of Economics) -- no. 06-17.
Publisher: Massachusetts Institute of Technology, Dept. of Economics
Published: 2006
Place of publication: Cambridge, MA
Language: eng
Number of pages: 30
Description: We propose a new class of growth and interest rate processes with appealing properties for the paper-and-pencil theorist. It yields simple closed-form solutions for stocks, bonds, and perpetuities, and can accommodate an arbitrary number of factors. Expressions are linear in the state variables, such as the interest rate, the equity premium and the stock's growth rate. Surprisingly, one can change the volatility of the process, or force the interest rate to be positive, without changing bond prices. The process generalizes to discrete-time settings, and has a number of economic modeling applications. These include (i) macroeconomic situations with changing trend growth rates, (ii) asset pricing with time-varying risk premia or time-varying dividend growth rates, and (iii) yield curve analysis that allows flexibility and transparency. Keywords: Long term risk, Growth rate risk, Perpetuity, Modified Gordon growth model, Yield curve, Interest rate processes, Stochastic Discount Factor, Quadratic processes. JEL Classifications: G12, G13.
Notes: "June 12, 2006."

Includes bibliographical references (p. 28-30).

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