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The Potential Approach to Bond and Currency Pricing

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Author Info

  • Markus Leippold

    (University of St.Gallen)

  • Liuren Wu

    (Fordham University New York)

Abstract

In this paper, we begin the modeling of bond and currency prices from the modeling of the state-price density satisfying basic properties of a potential. We provide extensive examples and show their implications on bond and currency pricing. Most classic short rate models are special cases of this general approach. We also investigate the connection to the Heath, Jarrow, and Morton model. One advantage of the potential approach resides in its ease in simultaneously modeling the yield curves of many countries and their exchange rates. The properties of exchange rates under each example are derived and we illustrate their possibility in explaining the forward premium puzzle.

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Bibliographic Info

Paper provided by EconWPA in its series Finance with number 9903004.

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Length: 50 pages
Date of creation: 15 Mar 1999
Date of revision:
Handle: RePEc:wpa:wuwpfi:9903004

Note: Type of Document - LaTex; prepared on IBM PC - PC-TEX; to print on HP/PostScript; pages: 50; figures: none. none
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Web page: http://128.118.178.162

Related research

Keywords: Potential approach; Interest Rate; Currency; International Term Structure Models; Heath-Jarrow-Morton; Forward Premium Puzzle;

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References

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  1. Amin, Kaushik I. & Jarrow, Robert A., 1991. "Pricing foreign currency options under stochastic interest rates," Journal of International Money and Finance, Elsevier, vol. 10(3), pages 310-329, September.
  2. Backus, David & Foresi, Silverio & Mozumdar, Abon & Wu, Liuren, 2001. "Predictable changes in yields and forward rates," Journal of Financial Economics, Elsevier, vol. 59(3), pages 281-311, March.
  3. Sommer, Daniel, 1994. "Continuous-Time Limits in the Generalized Ho-Lee Framework under the Forward Measure," Discussion Paper Serie B 276, University of Bonn, Germany, revised Jul 1996.
  4. Robert E. Cumby & Maurice Obstfeld, 1982. "International Interest-Rate and Price-Level Linkages Under Flexible Exchange Rates: A Review of Recent Evidence," NBER Working Papers 0921, National Bureau of Economic Research, Inc.
  5. David Backus & Silverio Foresi & Chris Telmer, 1998. "Discrete-Time Models of Bond Pricing," NBER Working Papers 6736, National Bureau of Economic Research, Inc.
  6. L. C. G. Rogers, 1997. "The Potential Approach to the Term Structure of Interest Rates and Foreign Exchange Rates," Mathematical Finance, Wiley Blackwell, vol. 7(2), pages 157-176.
  7. David Backus & Silverio Foresi & Chris Telmer, 1996. "Affine Models of Currency Pricing," New York University, Leonard N. Stern School Finance Department Working Paper Seires 96-9, New York University, Leonard N. Stern School of Business-.
  8. Ho, Thomas S Y & Lee, Sang-bin, 1986. " Term Structure Movements and Pricing Interest Rate Contingent Claims," Journal of Finance, American Finance Association, vol. 41(5), pages 1011-29, December.
  9. Geert Bekaert & Robert J. Hodrick, 1991. "Characterizing Predictable Components in Excess Returns on Equity and Foreign Exchange Markets," NBER Working Papers 3790, National Bureau of Economic Research, Inc.
  10. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-92.
  11. Heath, David & Jarrow, Robert & Morton, Andrew, 1992. "Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation," Econometrica, Econometric Society, vol. 60(1), pages 77-105, January.
  12. Lars Peter Hansen & Robert J. Hodrick, 1983. "Risk Averse Speculation in the Forward Foreign Exchange Market: An Econometric Analysis of Linear Models," NBER Chapters, in: Exchange Rates and International Macroeconomics, pages 113-152 National Bureau of Economic Research, Inc.
  13. Brennan, Michael J. & Schwartz, Eduardo S., 1979. "A continuous time approach to the pricing of bonds," Journal of Banking & Finance, Elsevier, vol. 3(2), pages 133-155, July.
  14. Robert J. Hodrick & Sanjay Srivastava, 1985. "The Covariation of Risk Premiums and Expected Future Spot Exchange Rates," NBER Working Papers 1749, National Bureau of Economic Research, Inc.
  15. Richard, Scott F., 1978. "An arbitrage model of the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 6(1), pages 33-57, March.
  16. Constantinides, George M, 1992. "A Theory of the Nominal Term Structure of Interest Rates," Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 531-52.
  17. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  18. Longstaff, Francis A., 1989. "A nonlinear general equilibrium model of the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 23(2), pages 195-224, August.
  19. Qiang Dai & Kenneth J. Singleton, 1997. "Specification Analysis of Affine Term Structure Models," NBER Working Papers 6128, National Bureau of Economic Research, Inc.
  20. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March.
  21. Hsieh, David A., 1984. "Tests of rational expectations and no risk premium in forward exchange markets," Journal of International Economics, Elsevier, vol. 17(1-2), pages 173-184, August.
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Cited by:
  1. Markus Leippold & Liuren Wu, 2002. "Asset Pricing Under The Quadratic Class," Finance 0207015, EconWPA.
  2. Markus Leippold & Liuren Wu, 2002. "Design and Estimation of Quadratic Term Structure Models," Finance 0207014, EconWPA.

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