A Multifactor, Nonlinear, Continuous-Time Model of Interest Rate Volatility

44 Pages Posted: 8 Jul 2000 Last revised: 13 Oct 2010

See all articles by Jacob Boudoukh

Jacob Boudoukh

Interdisciplinary Center (IDC) Herzliyah; AQR Capital Management, LLC

Matthew P. Richardson

New York University (NYU) - Department of Finance; National Bureau of Economic Research (NBER); AQR Capital Management, LLC

Richard Stanton

University of California, Berkeley - Haas School of Business

Robert Whitelaw

New York University; National Bureau of Economic Research (NBER)

Multiple version iconThere are 3 versions of this paper

Date Written: July 1999

Abstract

This paper presents a general, nonlinear version of existing multifactor models, such as Longstaff and Schwartz (1992). The novel aspect of our approach is that rather than choosing the model parameterization out of thin air,' our processes are generated from the data using approximation methods for multifactor continuous-time Markov processes. In applying this technique to the short- and long-end of the term structure for a general two-factor diffusion process for interest rates, a major finding is that the volatility of interest rates is increasing in the level of interest rates only for sharply upward sloping term structures. In fact, the slope of the term structure plays a larger role in determining the magnitude of the diffusion coefficient. As an application, we analyze the model's implications for the term structure of term premiums.

Suggested Citation

Boudoukh, Jacob and Richardson, Matthew P. and Stanton, Richard H. and Whitelaw, Robert F., A Multifactor, Nonlinear, Continuous-Time Model of Interest Rate Volatility (July 1999). NBER Working Paper No. w7213. Available at SSRN: https://ssrn.com/abstract=227557

Jacob Boudoukh (Contact Author)

Interdisciplinary Center (IDC) Herzliyah ( email )

P.O. Box 167
Herzliya, 46150
Israel

AQR Capital Management, LLC ( email )

Greenwich, CT
United States

Matthew P. Richardson

New York University (NYU) - Department of Finance ( email )

44 West 4th Street
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National Bureau of Economic Research (NBER)

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AQR Capital Management, LLC ( email )

Greenwich, CT
United States

Richard H. Stanton

University of California, Berkeley - Haas School of Business ( email )

Haas School of Business
545 Student Services Building #1900
Berkeley, CA 94720-1900
United States
(510) 642-7382 (Phone)
(510) 643-1412 (Fax)

Robert F. Whitelaw

New York University ( email )

Stern School of Business
44 West 4th Street
New York, NY 10012-1126
United States
212-998-0338 (Phone)
212-995-4233 (Fax)

National Bureau of Economic Research (NBER)

1050 Massachusetts Avenue
Cambridge, MA 02138
United States

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