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Eurasian Economic Review

, Volume 2, Issue 1, pp 1–31 | Cite as

A Quantitative Mirror on the Euribor Market Using Implied Probability Density Functions

  • Josep Maria Puigvert-Gutiérrez
  • Rupert de Vincent-Humphreys
Article

Abstract

This paper presents a set of probability density functions for EURIBOR outturns in three months’ time, estimated from the prices of options on EURIBOR futures. It is the first official and freely available dataset to span the complete history of EURIBOR futures options, thus comprising over ten years of daily data, from 13 January 1999 onwards. Time series of the statistical moments of these option-implied probability density functions are documented until April 2010. Particular attention is given to how these probability density functions, and their associated summary statistics, reacted to the unfolding financial crisis between 2007 and 2009. The latter shows how option-implied probability density functions can be used as an uncertainty measure for monetary policy and financial stability analysis purposes.

Keywords

Financial Market Probability Density Functions Options Financial Crisis 

JEL Classification

C13 C14 G12 G13 

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References

  1. Alonso, F., Blanco, R., and Rubio, G., 2009. Option-implied preferences adjustments, density forecasts and the equity risk premium. Spanish Economic Review, 11(2), pp.141–164.CrossRefGoogle Scholar
  2. Andersen, A.B. and Wagener, T., 2002. Extracting risk neutral probability densities by fitting implied volatility smiles: some methodological points and an application to the 3m EURIBOR futures option prices. ECB Working Paper Series, 198.Google Scholar
  3. Bank of England, 2009. An indicative decomposition of the option- implied probability distribution for Libor. Quarterly Bulletin, 49(3), pp.158–159.Google Scholar
  4. Bates, D.S., 2000. Post-’87 crash fears in the S&P 500 futures option market. Journal of Econometrics, 94(1–2), pp.181–238.CrossRefGoogle Scholar
  5. Bahra, B., 1996. Probability distributions of future asset prices implied by option prices. Bank of England Quarterly Bulletin, 36(3), pp.299–311.Google Scholar
  6. Bahra, B., 1997. Implied risk-neutral probability density functions from option prices: theory and application. Bank of England Working Paper, 66.Google Scholar
  7. BIS, 1999. Estimating and interpreting probability density functions, Proceedings of the workshop on implied PDFs held at the BIS on 14 June 1999. Bank for International Settlements, Basel.Google Scholar
  8. Black F., 1976. The pricing of commodity contracts. Journal of Financial Economics, 3(1–2), pp.167–179.CrossRefGoogle Scholar
  9. Bliss, R., and Panigirtzoglou, N., 2002. Testing the stability of implied probability density functions. Journal of Banking and Finance, 26(2–3), pp.381–422.CrossRefGoogle Scholar
  10. Bliss, R. and Panigirtzoglou, N., 2004. Option-implied risk aversion estimates. Journal of Finance, 59(1), pp.407–446.CrossRefGoogle Scholar
  11. Breeden, D.T. and Litzenberger, R.H., 1978. Prices of state-contingent claims implicit in option prices. Journal of Business, 51(4), pp.621–51.CrossRefGoogle Scholar
  12. Campa, J.M., Chang, P.H.K., and Reider, R.L., 1997. Implied exchange rate distributions: evidence from OTC option markets. NBER Working Paper, 6179.Google Scholar
  13. Clews, R., Panigirtzoglou, N., and Proudman, J., 2000. Recent developments in extracting information from option markets. Bank of England Quarterly Bulletin, 40(1), pp.50–60.Google Scholar
  14. Cooper, N., 1999. Testing techniques for estimating implied RNDs from the prices of European-Style options. Proceedings of the workshop on implied PDFs held at the BIS on 14 June 1999. Bank of International Settlements, Basel.Google Scholar
  15. Coutant, S., Jondeau, E., and Rockinger, M., 1999. Reading interest rate and bond futures options smiles: How PIBOR and notational operators appreciated the 1997 French snap election. Banque de France Working Paper NER, 54.Google Scholar
  16. Cox, J.C. and Ross, S.A., 1976. The valuation of options for alternative stochastic processes. Journal of Financial Economics, 3(1–2), pp.145–166.CrossRefGoogle Scholar
  17. De Boor, C., 2001. A practical guide to splines. Revised Edition. New York: Springer-Verlag.Google Scholar
  18. ECB, 2011. The information content of option prices during the financial crisis. ECB Monthly Bulletin, February, pp.87–99.Google Scholar
  19. Fackler, P.L. and King, R.P., 1990. Calibration of option-based probability assessments in agricultural commodity markets. American Journal of Agricultural Economics, 72(1), pp.73–83.CrossRefGoogle Scholar
  20. Hull J., 2000. Options, futures, and other derivatives. 4th edition. New Jersey: Prentice Hall.Google Scholar
  21. Lynch, D.P.G. and Panigirtzoglou, N., 2004. Using option prices to measure financial market views about balances of risk to future asset prices. Bank of England Quarterly Bulletin, 44(4), pp.442–454.Google Scholar
  22. Liu, X., Shackleton, M.B., Taylor, S.J., and Xu, X., 2007. Closed-form transformations from risk-neutral to real-world distributions. Journal of Banking and Finance, 31(5), pp.1501–1520.CrossRefGoogle Scholar
  23. Malz, A.M., 1997. Estimating the probability distribution of the future exchange rate from option prices. Journal of Derivatives, 5(2), pp.18–36.CrossRefGoogle Scholar
  24. Melick, W.R. and Thomas, C.P., 1997. Recovering an asset’s implied PDF from option prices: an application to crude oil during the Gulf crisis. Journal of Financial and Quantitative Analysis, 32(1), pp.91–115.CrossRefGoogle Scholar
  25. Melick, W.R. and Thomas, C.P., 1998. Confidence intervals and constant maturity series for probability measures extracted from option prices. Proceedings of the Bank of Canada Conference on ‘Information Contained in Prices of Financial Assets’.Google Scholar
  26. Neuhaus, H., 1995. The information content of derivatives for monetary policy-implied volatilities and probabilities. Economic Research Group of Deutsche Bundesbank Discussion Paper, 3/95.Google Scholar
  27. Shimko, D.C., 1993. Bounds of probability. Risk, 6(4), pp.33–37.Google Scholar
  28. Soderlind, P. and Svensson, L.E.O., 1997. New techniques to extract market expectations from financial instruments. Journal of Monetary Economics, 40(2), pp.383–429.CrossRefGoogle Scholar
  29. White, A., 1973. Pricing options with futures-style margining: A genetic adaptive neural network approach (Financial sector of the American economy). New York: Garland Publishing.Google Scholar

Copyright information

© Eurasia Business and Economics Society 2012

Authors and Affiliations

  • Josep Maria Puigvert-Gutiérrez
    • 1
  • Rupert de Vincent-Humphreys
    • 2
  1. 1.European Central BankGermany
  2. 2.Bank of EnglandLondonUK

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