An Extended Model of Currency Options Applicable as Policy Tool for Central Banks with Inflation Targeting and Dollarized Economies
Luis-Felipe Arizmendi
GPI Asset Management S.A., Lima, Perú.
DOI: 10.4236/tel.2013.33027   PDF    HTML     5,225 Downloads   7,490 Views   Citations

Abstract

The purpose of this paper is to provide a new set of tools for policy makers at central banks. Based on the Garman-Kohlhagen [1] formula for currency options, this research extends it with the Taylor-rule expression used for inflation targeting, thus obtaining the corresponding Call and Put options and the first and higher-degree partial derivatives known as “Greeks” for key variables such as the policy target domestic interest rate and the output gap.

Share and Cite:

L. Arizmendi, "An Extended Model of Currency Options Applicable as Policy Tool for Central Banks with Inflation Targeting and Dollarized Economies," Theoretical Economics Letters, Vol. 3 No. 3, 2013, pp. 164-167. doi: 10.4236/tel.2013.33027.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] M. B. Garman and S. W. Kohlhagen, “Foreign Currency Options Values,” Journal of International Money and Finance, Vol. 2, No. 3, 1983, pp. 231-237.
[2] R. J. Caballero, “Macroeconomics after the Crisis: Time to Deal with the Pretense-of-Knowlegde Syndrome,” Journal of Economic Perspectives, Vol. 24, No. 4, 2010, pp. 85-102. doi:10.1257/jep.24.4.85
[3] M. Goodfriend, “How the World Achieved Consensus on Monetary Policy,” Journal of Economic Perspectives, Vol. 21, No. 4, 2007, pp. 47-68. doi:10.1257/jep.21.4.47
[4] J. B. Taylor, “The Effectiveness of Central Bank Independence versus Policy Rules,” American Economic Association Annual Meeting San Diego, California, January 2013, 22 p.
[5] J. B. Taylor, “Monetary Policy Rules Works and Discretion Doesn’t: A Tale of Two Eras,” Journal of Money, Credit and Banking, Vol. 44, No. 6, 2012, pp. 1017-1032. doi:10.1111/j.1538-4616.2012.00521.x
[6] M. Woodford, “The Case for Forecast Targeting as a Monetary Policy Strategy,” Journal of Economic Perspectives, Vol. 21, No. 4, 2007, pp. 3-24. doi:10.1257/jep.21.4.3
[7] J. Ostry, A. R. Ghosh and M. Chamon, “Two Targets, Two Instruments: Monetary and Exchange Rate Policies in Emerging Market Economies,” IMF Staff Discussion Note, 29 February 2012, SDN/12/01.
[8] N. Apergis, S. M. Miller, A. Panethimitakis and A. Vamvakidis, “Inflation Targeting and Output Growth: Evidence from Aggregate European Data,” University of Connecticut, Department of Economics, Working Paper Series No. 2005-06, 2005.
[9] D. Salvatore, “Exchange Rate Misalignments and the Present International Monetary System,” Journal of Policy Modeling, Vol. 34, No. 4, 2012, pp. 594-604. doi:10.1016/j.jpolmod.2012.05.008
[10] D. Salvatore, J. W. Dean and T. D. Willett, “The Dollarization Debate,” Oxford University Press, Oxford, 2003. doi:10.1093/0195155351.001.0001
[11] E. Ozsoz, E. W. Rengifo and D. Salvatore, “Dollarization as an Investment Signal in Developing Countries: The Case of Croatia, Czech Republic, Peru, Slovak Republic and Turkey,” Fordham University, Discussion Paper No. 2008-16, 2008.
[12] D. Veestraeten, “Currency Option Pricing in a Credible Exchange Rate Target Zone,” University of Amsterdam, 2012.
[13] D. Archer, “Foreign Exchange Market Intervention: Methods and Tactics,” Foreign Exchange Market Intervention in Emerging Markets: Motives, Techniques and Implications, BIS Papers No. 24, May 2005.
[14] M. del Rosario Bernedo and J. M. Azanero, “La Banca Central y los Derivados Financieros: El caso de las Opciones de Divisas,” Banco Central de Reserva del Perú, Estudios Económicos, 2003, pp. 113-148.
[15] P. Breuer, “Central Bank Participation in Currency Options Markets,” International Monetary Fund, Working Paper WP/99/140, 1999.
[16] G. Keles and T. S. Oncü, “Alternative Tools of Trade for Central Banks and Other Financial Institutions: Foreign Exchange Liquidity Options,” IFC Bulletin No. 31, 2009, pp. 181-196.
[17] O. Mandeng, “Central Bank Foreign Exchange Market Intervention and Option Contract Specification: The Case of Colombia,” International Monetary Fund, Working Paper WP/03/15, 2003.
[18] V. Orellana and P. Rodríguez, “Methodology for Measuring Derivatives at the Central Bank of Chile,” IFC Bulletin, No. 31, 2009, pp. 165-180.
[19] S. H. Lee and A. G. Malliaris, “Currency Markets and International Interest Rate Parity,” In: K. Baker and L. Riddick, Eds., Survey of International Finance, Oxford University Press, Oxford, 2011
[20] J. B. Taylor, “The Role of the Exchange Rate in Monetary-Policy Rules,” American Economic Review, Vol. 91, No. 2, 2001, pp. 263-267. doi:10.1257/aer.91.2.263
[21] J. Uribe and J. Toro, “Foreign Exchange Market Intervention in Colombia,” Foreign Exchange Market Intervention in Emerging Markets: Motives, Techniques and Implications, BIS Papers No. 24, May 2005.
[22] J. B. Taylor, “Discretion versus Policy Rules in Practice,” Carnegie-Rochester Conference Series on Public Policy, Vol. 39, No. 1, 1993, pp. 195-214. doi:10.1016/0167-2231(93)90009-L
[23] T. Molodtsova and D. Papell, “Taylor Rule Exchange Rate Forecasting during The Financial Crisis,” Working Paper 18330, National Bureau of Economic Research, 2012.
[24] D. F. DeRosa, “Options on Foreign Exchange,” 3rd Edition, Wiley Finance, Hoboken, 2008.
[25] E. G. Haug, “The Complete Guide to Option Pricing Formulas,” McGraw-Hill, New York, 2007.
[26] A. Steland, “Financial Statistics and Mathematical Finance. Methods, Models and Applications,” John Willey & Sons, Ltd., Hoboken, 2012. doi:10.1002/9781118316443
[27] L.-F. Arizmendi, “Open and Shadow Currency Options as Policy Tool for Central Banks with Inflation Targeting and Dollarized Economies: The Case for Peru,” Fordham University, Internal Discussion Paper, January 2013.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.