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On the evaluation of European continuous-istallment options


  • Pierangelo Ciurlia


This paper is concerned with the valuation of European continuous-installment options where the aim is to determine the initial premium given a constant installment payment plan. The distinctive feature of this pricing problem is the determination, along with the initial premium, of an optimal stopping boundary since the option holder has the right to stop making installment payments at any time before maturity. Given that the initial premium function of this option is governed by an inhomogeneous Black-Scholes partial di erential equation, we can obtain two alternative characterizations of the European continuous-installment option pricing problem, for which no closed-form solution is available. Firstly, we formulate the pricing problem as a free boundary problem and using the integral representation method we derive integral expressions for both the initial premium and the optimal stopping boundary. Secondly, we use the linear complementarity formulation of the pricing problem for determining the initial premium and the early stopping curve implicitly with a finite di erence scheme. Finally, the pricing problem is posed as an optimal stopping problem and then implemented by a Monte Carlo approach

Suggested Citation

  • Pierangelo Ciurlia, 2010. "On the evaluation of European continuous-istallment options," Departmental Working Papers of Economics - University 'Roma Tre' 0113, Department of Economics - University Roma Tre.
  • Handle: RePEc:rtr:wpaper:0113

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    References listed on IDEAS

    1. Rose, Andrew K., 2004. "Do WTO members have more liberal trade policy?," Journal of International Economics, Elsevier, vol. 63(2), pages 209-235, July.
    2. Nasiruddin Ahmed, 2000. "Export response to trade liberalization in Bangladesh: a cointegration analysis," Applied Economics, Taylor & Francis Journals, vol. 32(8), pages 1077-1084.
    3. James E. Anderson & Eric van Wincoop, 2003. "Gravity with Gravitas: A Solution to the Border Puzzle," American Economic Review, American Economic Association, vol. 93(1), pages 170-192, March.
    4. Andrew K. Rose, 2004. "Do We Really Know That the WTO Increases Trade?," American Economic Review, American Economic Association, vol. 94(1), pages 98-114, March.
    5. Bela Balassa, 1965. "Tariff Protection in Industrial Countries: An Evaluation," Journal of Political Economy, University of Chicago Press, vol. 73, pages 573-573.
    6. Kevin H. O'Rourke, 2002. "Globalization and Inequality: Historical Trends," Aussenwirtschaft, University of St. Gallen, School of Economics and Political Science, Swiss Institute for International Economics and Applied Economics Research, vol. 57(01), pages 65-104, March.
    7. Feenstra, Robert C., 1995. "Estimating the effects of trade policy," Handbook of International Economics,in: G. M. Grossman & K. Rogoff (ed.), Handbook of International Economics, edition 1, volume 3, chapter 30, pages 1553-1595 Elsevier.
    8. Richard E. Baldwin & Philippe Martin, 1999. "Two Waves of Globalisation: Superficial Similarities, Fundamental Differences," NBER Working Papers 6904, National Bureau of Economic Research, Inc.
    9. John H. Coatsworth & Jeffrey G. Williamson, 2002. "The Roots of Latin American Protectionism: Looking Before the Great Depression," NBER Working Papers 8999, National Bureau of Economic Research, Inc.
    10. O'Rourke, Kevin H, 2000. "Tariffs and Growth in the Late 19th Century," Economic Journal, Royal Economic Society, vol. 110(463), pages 456-483, April.
    11. Andrew Rose, 2005. "Does the WTO Make Trade More Stable?," Open Economies Review, Springer, vol. 16(1), pages 7-22, January.
    12. Subramanian, Arvind & Wei, Shang-Jin, 2007. "The WTO promotes trade, strongly but unevenly," Journal of International Economics, Elsevier, vol. 72(1), pages 151-175, May.
    13. Douglas A. Irwin, 1993. "The GATT's contribution to economic recovery in post-war Western Europe," International Finance Discussion Papers 442, Board of Governors of the Federal Reserve System (U.S.).
    14. Harrigan, James, 1993. "OECD imports and trade barriers in 1983," Journal of International Economics, Elsevier, vol. 35(1-2), pages 91-111, August.
    15. Michael A. Clemens & Jeffrey G. Williamson, 2001. "A Tariff-Growth Paradox? Protection's Impact the World Around 1875-1997," NBER Working Papers 8459, National Bureau of Economic Research, Inc.
    16. Jakob B. Madsen, 2001. "Trade Barriers and the Collapse of World Trade During the Great Depression," Southern Economic Journal, Southern Economic Association, vol. 67(4), pages 848-868, April.
    17. Amelia Santos-Paulino & A. P. Thirlwall, 2004. "The impact of trade liberalisation on exports, imports and the balance of payments of developing countries," Economic Journal, Royal Economic Society, vol. 114(493), pages 50-72, February.
    18. Edward E. Leamer, 1992. "Testing Trade Theory," NBER Working Papers 3957, National Bureau of Economic Research, Inc.
    19. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 39(3), pages 106-135.
    20. Goldstein, Morris & Khan, Mohsin S., 1985. "Income and price effects in foreign trade," Handbook of International Economics,in: R. W. Jones & P. B. Kenen (ed.), Handbook of International Economics, edition 1, volume 2, chapter 20, pages 1041-1105 Elsevier.
    21. Nenci Silvia & Pietrobelli Carlo, 2008. "Does Tariff Liberalization Promote Trade? Latin American Countries in the Long-Run (1900-2000)," Global Economy Journal, De Gruyter, vol. 8(4), pages 1-30, December.
    22. Leith, James Clark & Reuber, Grant L, 1969. "The Impact of the Industrial Countries' Tariff Structure on Their Imports of Manufactures from Less-Developed Areas: A Comment," Economica, London School of Economics and Political Science, vol. 36(141), pages 75-80, February.
    23. Ostry, Jonathan D. & Rose, Andrew K., 1992. "An empirical evaluation of the macroeconomic effects of tarrifs," Journal of International Money and Finance, Elsevier, vol. 11(1), pages 63-79, February.
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    More about this item


    Installment option; free boundary problem; integral representation method;

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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