Skip to main content

Trading Volume in Models of Financial Derivatives

  • Conference paper
  • 500 Accesses

Part of the book series: Mathematics in Industry ((TECMI,volume 1))

Abstract

This paper develops a subordinated stochastic process model for asset prices, where the directing process is identified as information. Motivated by recent empirical and theoretical work, we make use of the under-used market statistic of transaction count as a suitable proxy for the information flow. An option pricing formula is derived, and comparisons with stochastic volatility models are drawn.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Beckers, S. (1980) The constant elasticity of variance model and its implications for option pricing. Journal of Finance, 35, no. 3, p. 661–673.

    Article  Google Scholar 

  2. Bouchaud, J.P. and Potters, M. (2000) Theory of financial risks. Cambridge University Press.

    Google Scholar 

  3. Clark, P.K. (1973) A subordinated stochastic process model with finite variance for speculative prices. Econometica, 41, no. 1, p. 135–155.

    Article  MATH  Google Scholar 

  4. Eberlein, E. and Keller, U. (1995) Hyperbolic distributions in finance. Bernoulli, 1 (1995), p. 281–299.

    Article  MATH  Google Scholar 

  5. Feller, W (1966) An introduction to probability theory and its applications. vol. II, John Wiley and Sons.

    Google Scholar 

  6. Fougue, J.P., Papanicolaou, G. and Sircar, K.R. (2000) Derivatives in financial markets with stochastic volatility. Cambridge University Press.

    Google Scholar 

  7. Hélyette Geman and Thierry Ané (1996) Stochastic subordination. Risk Magazine, 9, p. 145–149.

    Google Scholar 

  8. Hélyette Geman and Thierry Ané (2000) Order flow, transaction clock, and normality of asset returns. The Journal of Finance 55, no. 5, p. 2259–2284.

    Article  Google Scholar 

  9. Howison, S and Lamper, D. (2000) Trading volume in models of financial derivatives. OCIAM / MFG Working Paper.

    Google Scholar 

  10. Lewis, A.L. (2000) Option valuation under stochastic volatility: with Mathematica code. Finance Press.

    Google Scholar 

  11. Andrew Matacz, Financial modelling and option theory with the truncated Levy distribution,International Journal of Theoretical and Applied Finance 3 (2000), no. 1, 143–160.

    Google Scholar 

  12. O’Hara, M. (1995) Market microstructure theory. Blackwell.

    Google Scholar 

  13. Rebonato, R. (1999) Volatility and correlation. John Wiley.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Howison, S., Lamper, D. (2002). Trading Volume in Models of Financial Derivatives. In: Anile, A.M., Capasso, V., Greco, A. (eds) Progress in Industrial Mathematics at ECMI 2000. Mathematics in Industry, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04784-2_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-04784-2_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07647-3

  • Online ISBN: 978-3-662-04784-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics