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Econometric Analysis of Present Value Models When the Discount Factor Is near One

  • Kenneth D. West

This paper develops asymptotic econometric theory to help understand data generated by a present value model with a discount factor near one. A leading application is to exchange rate models. A key assumption of the asymptotic theory is that the discount factor approaches 1 as the sample size grows. The finite sample approximation implied by the asymptotic theory is quantitatively congruent with modest departures from random walk behavior with imprecise estimation of a well-studied regression relating spot and forward exchange rates.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 18247.

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Date of creation: Jul 2012
Date of revision:
Publication status: published as West, Kenneth D., 2012. "Econometric analysis of present value models when the discount factor is near one," Journal of Econometrics, Elsevier, vol. 171(1), pages 86-97.
Handle: RePEc:nbr:nberwo:18247
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  1. Bhar, Ramprasad & Kim, Suk-Joong & Pham, Toan M., 2004. "Exchange rate volatility and its impact on the transaction costs of covered interest rate parity," Japan and the World Economy, Elsevier, vol. 16(4), pages 503-525, December.
  2. Lars Peter Hansen & Thomas J. Sargent, 1981. "A note on Wiener-Kolmogorov prediction formulas for rational expectations models," Staff Report 69, Federal Reserve Bank of Minneapolis.
  3. Adrien Verdelhan, 2005. "A Habit-Based Explanation of the Exchange Rate Risk Premium," Boston University - Department of Economics - Working Papers Series WP2005-032, Boston University - Department of Economics.
  4. Molodtsova, Tanya & Papell, David H., 2009. "Out-of-sample exchange rate predictability with Taylor rule fundamentals," Journal of International Economics, Elsevier, vol. 77(2), pages 167-180, April.
  5. Ivo Welch & Amit Goyal, 2008. "A Comprehensive Look at The Empirical Performance of Equity Premium Prediction," Review of Financial Studies, Society for Financial Studies, vol. 21(4), pages 1455-1508, July.
  6. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
  7. Evans, Martin D D & Lewis, Karen K, 1995. "Do Long-Term Swings in the Dollar Affect Estimates of the Risk Premia?," Review of Financial Studies, Society for Financial Studies, vol. 8(3), pages 709-42.
  8. Robert F. Stambaugh, 1999. "Predictive Regressions," NBER Technical Working Papers 0240, National Bureau of Economic Research, Inc.
  9. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
  10. Frankel, Jeffrey A & Froot, Kenneth A, 1987. "Using Survey Data to Test Standard Propositions Regarding Exchange Rate Expectations," American Economic Review, American Economic Association, vol. 77(1), pages 133-53, March.
  11. Charles Engel & Nelson C. Mark & Kenneth D. West, 2008. "Exchange Rate Models Are Not As Bad As You Think," NBER Chapters, in: NBER Macroeconomics Annual 2007, Volume 22, pages 381-441 National Bureau of Economic Research, Inc.
  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. Bacchetta, Philippe & van Wincoop, Eric, 2003. "Can Information Heterogeneity Explain the Exchange Rate Determination Puzzle?," CEPR Discussion Papers 3808, C.E.P.R. Discussion Papers.
  14. repec:pal:imfstp:v:51:y:2004:i:3:p:409-430 is not listed on IDEAS
  15. Charles Engel & Kenneth D. West, 2004. "Exchange Rates and Fundamentals," NBER Working Papers 10723, National Bureau of Economic Research, Inc.
  16. Bennett T. McCallum, 1992. "A Reconsideration of the Uncovered Interest Parity Relationship," NBER Working Papers 4113, National Bureau of Economic Research, Inc.
  17. Barberis, Nicholas & Thaler, Richard, 2003. "A survey of behavioral finance," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 18, pages 1053-1128 Elsevier.
  18. Marcel Aloy & Mohamed Boutahar & Karine Gente & Anne Peguin-Feissolle, 2010. "Fractional integration and cointegration in stock prices and exchange rates," Working Papers halshs-00536140, HAL.
  19. Meese, Richard A. & Rogoff, Kenneth, 1983. "Empirical exchange rate models of the seventies : Do they fit out of sample?," Journal of International Economics, Elsevier, vol. 14(1-2), pages 3-24, February.
  20. Baillie, Richard T. & Bollerslev, Tim, 2000. "The forward premium anomaly is not as bad as you think," Journal of International Money and Finance, Elsevier, vol. 19(4), pages 471-488, August.
  21. Baillie, Richard T & Bollerslev, Tim, 1994. "The long memory of the forward premium," Journal of International Money and Finance, Elsevier, vol. 13(5), pages 565-571, October.
  22. Jeffrey A. Frankel & Kenneth A. Froot, 1985. "Using Survey Data to Test Some Standard Propositions Regarding Exchange Rate Expectations," NBER Working Papers 1672, National Bureau of Economic Research, Inc.
  23. Robert J. Shiller & John Y. Campbell, 1986. "The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors," Cowles Foundation Discussion Papers 812, Cowles Foundation for Research in Economics, Yale University.
  24. repec:ebl:ecbull:v:30:y:2010:i:1:p:115-129 is not listed on IDEAS
  25. Alex Maynard & Peter C. B. Phillips, 2001. "Rethinking an old empirical puzzle: econometric evidence on the forward discount anomaly," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(6), pages 671-708.
  26. Philippe Bacchetta & Eric van Wincoop, 2010. "Infrequent Portfolio Decisions: A Solution to the Forward Discount Puzzle," American Economic Review, American Economic Association, vol. 100(3), pages 870-904, June.
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