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Conversion risk on 19th century French consols and embedded options: A simple exercise

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  • Ureche-Rangau, Loredana
  • Vaslin, Jacques-Marie

Abstract

This paper investigates the conversion risk exposure of French government consols on the Paris Stock Exchange market during the 19th century. Using the classic option pricing framework, our results indicate that market investors were able to detect the presence of an embedded conversion option and price it quite accurately almost two centuries ago.

Suggested Citation

  • Ureche-Rangau, Loredana & Vaslin, Jacques-Marie, 2023. "Conversion risk on 19th century French consols and embedded options: A simple exercise," Finance Research Letters, Elsevier, vol. 58(PB).
  • Handle: RePEc:eee:finlet:v:58:y:2023:i:pb:s154461232300747x
    DOI: 10.1016/j.frl.2023.104375
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    1. Dincecco,Mark, 2013. "Political Transformations and Public Finances," Cambridge Books, Cambridge University Press, number 9781107617759, November.
    2. 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..
    3. G.K. Harley, 1976. "Goschens's conversion of the National Debt and the Yield on Consols," Economic History Review, Economic History Society, vol. 29(1), pages 101-106, February.
    4. Bignon, Vincent & Flandreau, Marc, 2018. "The Other Way: A Narrative History of the Bank of France," CEPR Discussion Papers 13138, C.E.P.R. Discussion Papers.
    5. Oosterlinck, Kim & Ureche-Rangau, Loredana & Vaslin, Jacques-Marie, 2014. "Baring, Wellington and the Resurrection of French Public Finances Following Waterloo," The Journal of Economic History, Cambridge University Press, vol. 74(4), pages 1072-1102, December.
    6. Oosterlinck, Kim & Ureche-Rangau, Loredana & Vaslin, Jacques-Marie, 2019. "Aristocratic Privilege. Exploiting “Good†Institutions," CEPR Discussion Papers 14071, C.E.P.R. Discussion Papers.
    7. Longstaff, Francis A, 1992. "Are Negative Option Prices Possible? The Callable U.S. Treasury-Bond Puzzle," The Journal of Business, University of Chicago Press, vol. 65(4), pages 571-592, October.
    8. Peter Carayannopoulos, 1995. "The mispricing of U.S. treasury callable bonds," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 15(8), pages 861-879, December.
    9. Heston, Steven L & Nandi, Saikat, 2000. "A Closed-Form GARCH Option Valuation Model," The Review of Financial Studies, Society for Financial Studies, vol. 13(3), pages 585-625.
    10. Bryan Kelly & Hanno Lustig & Stijn Van Nieuwerburgh, 2016. "Too-Systemic-to-Fail: What Option Markets Imply about Sector-Wide Government Guarantees," American Economic Review, American Economic Association, vol. 106(6), pages 1278-1319, June.
    11. Courtadon, Georges, 1982. "A More Accurate Finite Difference Approximation for the Valuation of Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 17(5), pages 697-703, December.
    12. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    13. Masazumi Hattori & Andreas Schrimpf & Vladyslav Sushko, 2016. "The Response of Tail Risk Perceptions to Unconventional Monetary Policy," American Economic Journal: Macroeconomics, American Economic Association, vol. 8(2), pages 111-136, April.
    14. Frank C. Jen & James E. Wert, 1967. "The Effect Of Call Risk On Corporate Bond Yields," Journal of Finance, American Finance Association, vol. 22(4), pages 637-651, December.
    15. Klovland, Jan Tore, 1994. "Pitfalls in the Estimation of the Yield on British Consols, 1850–1914," The Journal of Economic History, Cambridge University Press, vol. 54(1), pages 164-187, March.
    16. Jobst, Clemens & Ugolini, Stefano, 2014. "The coevolution of money markets and monetary policy, 1815-2008," Working Paper Series 1756, European Central Bank.
    17. Cortes, Gustavo S. & Gao, George P. & Silva, Felipe B.G. & Song, Zhaogang, 2022. "Unconventional monetary policy and disaster risk: Evidence from the subprime and COVID–19 crises," Journal of International Money and Finance, Elsevier, vol. 122(C).
    18. 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.
    19. Anne L. Murphy, 2009. "Trading options before Black‐Scholes: a study of the market in late seventeenth‐century London1," Economic History Review, Economic History Society, vol. 62(s1), pages 8-30, August.
    20. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
    21. Brennan, M J & Schwartz, Eduardo S, 1977. "Convertible Bonds: Valuation and Optimal Strategies for Call and Conversion," Journal of Finance, American Finance Association, vol. 32(5), pages 1699-1715, December.
    22. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
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