IDEAS home Printed from https://ideas.repec.org/a/taf/eurjfi/v7y2001i3p231-246.html
   My bibliography  Save this article

Implied volatilities, stochastic interest rates, and currency futures options valuation: an empirical investigation

Author

Listed:
  • Vivek Bhargava
  • Robert Brooks
  • D. K. Malhotra

Abstract

Different models of pricing currency call and put options on futures are empirically tested. Option prices are determined using different models and compared to actual market prices. Option prices are determined using historical as well as implied volatility. The different models tested include both constant and stochastic interest rate models. To determine if the model prices are different from the market prices, regression analysis and paired t-tests are performed. To see which model misprices the least, root mean square errors are determined. It is found that better results are obtained when implied volatility is used. Stochastic interest rate models perform better than constant interest rate models.

Suggested Citation

  • Vivek Bhargava & Robert Brooks & D. K. Malhotra, 2001. "Implied volatilities, stochastic interest rates, and currency futures options valuation: an empirical investigation," The European Journal of Finance, Taylor & Francis Journals, vol. 7(3), pages 231-246.
  • Handle: RePEc:taf:eurjfi:v:7:y:2001:i:3:p:231-246
    DOI: 10.1080/13518470121944
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/13518470121944
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/13518470121944?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Melino, Angelo & Turnbull, Stuart M., 1990. "Pricing foreign currency options with stochastic volatility," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 239-265.
    2. Shastri, Kuldeep & Tandon, Kishore, 1986. "Valuation of Foreign Currency Options: Some Empirical Tests," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 21(2), pages 145-160, June.
    3. Roll, Richard, 1977. "An analytic valuation formula for unprotected American call options on stocks with known dividends," Journal of Financial Economics, Elsevier, vol. 5(2), pages 251-258, November.
    4. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    5. Shastri, Kuldeep & Tandon, Kishore, 1987. "Valuation of American options on foreign currency," Journal of Banking & Finance, Elsevier, vol. 11(2), pages 245-269, June.
    6. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    7. Orlin Grabbe, J., 1983. "The pricing of call and put options on foreign exchange," Journal of International Money and Finance, Elsevier, vol. 2(3), pages 239-253, December.
    8. Adams, Paul D. & Wyatt, Steve B., 1987. "On the pricing of European and American foreign currency call options," Journal of International Money and Finance, Elsevier, vol. 6(3), pages 315-338, September.
    9. Kuldeep Shastri & Kishore Tandon, 1986. "On the use of European models to price American options on foreign currency," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 6(1), pages 93-108, March.
    10. Angelo Melino & Stuart M. Turnbull, 1991. "The Pricing of Foreign Currency Options," Canadian Journal of Economics, Canadian Economics Association, vol. 24(2), pages 251-281, May.
    11. Geske, Robert & Shastri, Kuldeep, 1985. "The early exercise of American puts," Journal of Banking & Finance, Elsevier, vol. 9(2), pages 207-219, June.
    12. Orlin J. Grabbe, "undated". "The Pricing of Call and Put Options on Foreign Exchange," Rodney L. White Center for Financial Research Working Papers 6-83, Wharton School Rodney L. White Center for Financial Research.
    13. Hilliard, Jimmy E. & Madura, Jeff & Tucker, Alan L., 1991. "Currency Option Pricing with Stochastic Domestic and Foreign Interest Rates," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 26(2), pages 139-151, June.
    14. Orlin J. Grabbe, "undated". "The Pricing of Call and Put Options on Foreign Exchange," Rodney L. White Center for Financial Research Working Papers 06-83, Wharton School Rodney L. White Center for Financial Research.
    15. Geske, Robert & Johnson, Herb E, 1984. "The American Put Option Valued Analytically," Journal of Finance, American Finance Association, vol. 39(5), pages 1511-1524, December.
    16. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    2. David S. Bates, 1995. "Testing Option Pricing Models," NBER Working Papers 5129, National Bureau of Economic Research, Inc.
    3. Kuldeep Shastri & Kulpatra Wethyavivorn, 1987. "The Valuation Of Currency Options For Alternate Stochastic Processes," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 10(4), pages 283-293, December.
    4. Chang, Chuang-Chang, 2001. "Efficient procedures for the valuation and hedging of American currency options with stochastic interest rates," Journal of Multinational Financial Management, Elsevier, vol. 11(3), pages 241-268, July.
    5. Lyons, Richard K., 1988. "Tests of the foreign exchange risk premium using the expected second moments implied by option pricing," Journal of International Money and Finance, Elsevier, vol. 7(1), pages 91-108, March.
    6. Sanjay K. Nawalkha & Xiaoyang Zhuo, 2022. "A Theory of Equivalent Expectation Measures for Contingent Claim Returns," Journal of Finance, American Finance Association, vol. 77(5), pages 2853-2906, October.
    7. Mark Broadie & Jerome B. Detemple, 2004. "ANNIVERSARY ARTICLE: Option Pricing: Valuation Models and Applications," Management Science, INFORMS, vol. 50(9), pages 1145-1177, September.
    8. Akihiko Takahashi & Kohta Takehara, 2007. "An Asymptotic Expansion Approach to Currency Options with a Market Model of Interest Rates under Stochastic Volatility Processes of Spot Exchange Rates," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 14(1), pages 69-121, March.
    9. Melino, Angelo & Turnbull, Stuart M., 1995. "Misspecification and the pricing and hedging of long-term foreign currency options," Journal of International Money and Finance, Elsevier, vol. 14(3), pages 373-393, June.
    10. Marcos Escobar & Christoph Gschnaidtner, 2018. "A multivariate stochastic volatility model with applications in the foreign exchange market," Review of Derivatives Research, Springer, vol. 21(1), pages 1-43, April.
    11. Akihiko Takahashi & Kohta Takehara, 2009. "Asymptotic Expansion Approaches in Finance: Applications to Currency Options," CARF F-Series CARF-F-165, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    12. El-Mekkaoui, Mazen & Flood, Mark D., 1998. "Put-call parity revisited: intradaily tests in the foreign currency options market," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 8(3-4), pages 357-376, December.
    13. Lieu, Derming, 1997. "Estimation of empirical pricing equations for foreign-currency options: Econometric models vs. arbitrage-free models," International Review of Economics & Finance, Elsevier, vol. 6(3), pages 259-286.
    14. Mark Broadie & Jérôme Detemple, 1996. "American Options on Dividend-Paying Assets," CIRANO Working Papers 96s-16, CIRANO.
    15. Akihiko Takahashi & Kohta Takehara, 2009. "Asymptotic Expansion Approaches in Finance: Applications to Currency Options," CIRJE F-Series CIRJE-F-654, CIRJE, Faculty of Economics, University of Tokyo.
    16. Raymond Chiang & John Okunev & Mark Tippett, 1997. "Stochastic interest rates, transaction costs, and immunizing foreign currency risk," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 17(5), pages 579-598, August.
    17. Gomes, Frederico Pechir & Takami, Marcelo Yoshio & Brandi, Vinicius Ratton, 2008. "Investigating Unusual Changes in Real-Dollar Exchange Rate," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 62(2), October.
    18. Ghosh, Dilip K. & Ghosh, Dipasri, 2005. "Covered arbitrage with currency options: A theoretical analysis," Global Finance Journal, Elsevier, vol. 16(1), pages 86-98, August.
    19. Mondher Bellalah, 2009. "Derivatives, Risk Management & Value," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 7175.
    20. Anatoliy Swishchuk & Maksym Tertychnyi & Robert Elliott, 2014. "Pricing Currency Derivatives with Markov-modulated Levy Dynamics," Papers 1402.1953, arXiv.org.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:eurjfi:v:7:y:2001:i:3:p:231-246. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/REJF20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.