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An analytic valuation formula for unprotected American call options on stocks with known dividends

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Cited by:

  1. Grace Phang & Rob Brown, 2011. "Rational early exercise of call options: Australian evidence," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 51(3), pages 732-744, September.
  2. John B. Broughton & Don M. Chance & David M. Smith, 1995. "The impact of equity option expirations on the prices of non‐expiring options," Review of Financial Economics, John Wiley & Sons, vol. 4(2), pages 109-123, March.
  3. Daniel Sevcovic, 2007. "An iterative algorithm for evaluating approximations to the optimal exercise boundary for a nonlinear Black-Scholes equation," Papers 0710.5301, arXiv.org.
  4. Paul Brockman & Mustafa Chowdhury, 1997. "Deterministic versus stochastic volatility: implications for option pricing models," Applied Financial Economics, Taylor & Francis Journals, vol. 7(5), pages 499-505.
  5. Cosma, Antonio & Galluccio, Stefano & Scaillet, Olivier, 2012. "Valuing American options using fast recursive projections," Working Papers unige:41856, University of Geneva, Geneva School of Economics and Management.
  6. Gukhal, C.R.Chandrasekhar Reddy, 2004. "The compound option approach to American options on jump-diffusions," Journal of Economic Dynamics and Control, Elsevier, vol. 28(10), pages 2055-2074, September.
  7. Kung, James J. & Lee, Lung-Sheng, 2009. "Option pricing under the Merton model of the short rate," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(2), pages 378-386.
  8. Martina Nardon & Paolo Pianca, 2012. "Extracting information on implied volatilities and discrete dividends from American options prices," Working Papers 2012_25, Department of Economics, University of Venice "Ca' Foscari".
  9. L. Sereno, 2006. "The Valuation of New Ventures," Working Papers 554, Dipartimento Scienze Economiche, Universita' di Bologna.
  10. 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.
  11. Broughton, John B. & Chance, Don M. & Smith, David M., 1995. "The impact of equity option expirations on the prices of non-expiring options," Review of Financial Economics, Elsevier, vol. 4(2), pages 109-123.
  12. Christoffersen, Peter & Jacobs, Kris & Chang, Bo Young, 2013. "Forecasting with Option-Implied Information," Handbook of Economic Forecasting, in: G. Elliott & C. Granger & A. Timmermann (ed.), Handbook of Economic Forecasting, edition 1, volume 2, chapter 0, pages 581-656, Elsevier.
  13. J. Austin Murphy, 1990. "A Modification and Re-Examination of the Bachelier Option Pricing Model," The American Economist, Sage Publications, vol. 34(2), pages 34-41, October.
  14. Liu, Yu-hong & Jiang, I-Ming & Hsu, Wei-tze, 2018. "Compound option pricing under a double exponential Jump-diffusion model," The North American Journal of Economics and Finance, Elsevier, vol. 43(C), pages 30-53.
  15. Raymond King, 1986. "Convertible Bond Valuation: An Empirical Test," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 9(1), pages 53-69, March.
  16. Tian-Shyr Dai & Yuh-Dauh Lyuu, 2009. "Accurate approximation formulas for stock options with discrete dividends," Applied Economics Letters, Taylor & Francis Journals, vol. 16(16), pages 1657-1663.
  17. Karen Alpert & Warren James Knight, 2007. "Effects of taxation for option writers: an Australian perspective," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 47(1), pages 23-45, March.
  18. Mark Broadie & Jérôme Detemple, 1996. "American Options on Dividend-Paying Assets," CIRANO Working Papers 96s-16, CIRANO.
  19. M. H. Vellekoop & J. W. Nieuwenhuis, 2006. "Efficient Pricing of Derivatives on Assets with Discrete Dividends," Applied Mathematical Finance, Taylor & Francis Journals, vol. 13(3), pages 265-284.
  20. Veld, C.H., 1991. "Warrant pricing : A review of theoretical and empirical research," Other publications TiSEM ac252bad-d1c0-45d6-832a-f, Tilburg University, School of Economics and Management.
  21. Pool, Veronika Krepely & Stoll, Hans R. & Whaley, Robert E., 2008. "Failure to exercise call options: An anomaly and a trading game," Journal of Financial Markets, Elsevier, vol. 11(1), pages 1-35, February.
  22. Lars Nielsen, 2007. "Dividends in the theory of derivative securities pricing," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 447-471, June.
  23. Chung, Y. Peter & Johnson, Herb, 2011. "Extendible options: The general case," Finance Research Letters, Elsevier, vol. 8(1), pages 15-20, March.
  24. Linda S. Klein & David R. Peterson, 1988. "Investor Expectations Of Volatility Increases Around Large Stock Splits As Implied In Call Option Premia," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 11(1), pages 71-80, March.
  25. Manuel Moreno & Javier Navas, 2003. "On the Robustness of Least-Squares Monte Carlo (LSM) for Pricing American Derivatives," Review of Derivatives Research, Springer, vol. 6(2), pages 107-128, May.
  26. Gunther Capelle-Blancard & Séverine Vandelanoite, 2000. "Intraday relations between CAC 40 cash index and CAC 40 index options [Relations intrajournalières entre l'indice CAC 40 et les options sur indice. Quel est le marché préféré des investisseurs info," Post-Print halshs-03727911, HAL.
  27. Tian-Shyr Dai, 2009. "Efficient option pricing on stocks paying discrete or path-dependent dividends with the stair tree," Quantitative Finance, Taylor & Francis Journals, vol. 9(7), pages 827-838.
  28. Yu-Fu Chen & Gylfi Zoega, 2007. "Aging and Job Security," Dundee Discussion Papers in Economics 206, Economic Studies, University of Dundee.
  29. Ostermark, Ralf & Hernesniemi, Hannu, 1995. "The impact of information timeliness on the predictability of stock and futures returns: An application of vector models," European Journal of Operational Research, Elsevier, vol. 85(1), pages 111-131, August.
  30. Roland Mallier & Ghada Alobaidi, 2000. "Laplace transforms and American options," Applied Mathematical Finance, Taylor & Francis Journals, vol. 7(4), pages 241-256.
  31. 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.
  32. Robert L. Brown & Dominique Achour, 1984. "The Pricing of Land Options," Urban Studies, Urban Studies Journal Limited, vol. 21(3), pages 317-323, August.
  33. 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.
  34. Tian-Shyr Dai & Chun-Yuan Chiu, 2013. "Pricing barrier stock options with discrete dividends by approximating analytical formulae," Quantitative Finance, Taylor & Francis Journals, vol. 14(8), pages 1367-1382, October.
  35. Martina Nardon & Paolo Pianca, 2008. "An efficient binomial approach to the pricing of options on stocks with cash dividends," Working Papers 178, Department of Applied Mathematics, Università Ca' Foscari Venezia.
  36. Belssing Taruvinga, 2019. "Solving Selected Problems on American Option Pricing with the Method of Lines," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 4-2019.
  37. Mondher Bellalah, 2009. "Derivatives, Risk Management & Value," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 7175.
  38. Debaditya Mohanti & P. K. Priyan, 2014. "An Empirical Test of Market Efficiency of Indian Index Options Market Using the Black–Scholes Model and Dynamic Hedging Strategy," Paradigm, , vol. 18(2), pages 221-237, December.
  39. Delianedis, Gordon & Geske, Robert, 2001. "The Components of Corporate Credit Spreads: Default, Recovery, Tax, Jumps, Liquidity, and Market Factors," University of California at Los Angeles, Anderson Graduate School of Management qt32x284q3, Anderson Graduate School of Management, UCLA.
  40. Ma, Jingtang & Fan, Jiacheng, 2016. "Convergence rates of recombining trees for pricing options on stocks under GBM and regime-switching models with known cash dividends," The North American Journal of Economics and Finance, Elsevier, vol. 37(C), pages 128-147.
  41. Moisa Altar & Judita Samuel, 2008. "Pricing American Options in a Mild Stochastic Environment," Advances in Economic and Financial Research - DOFIN Working Paper Series 11, Bucharest University of Economics, Center for Advanced Research in Finance and Banking - CARFIB.
  42. Jo~ao Amaro de Matos & Rui Dil~ao & Bruno Ferreira, 2006. "The Exact Value for European Options on a Stock Paying a Discrete Dividend," Papers math/0609212, arXiv.org.
  43. Aleš Berk & Robert Kaše, 2010. "Establishing the Value of Flexibility Created by Training: Applying Real Options Methodology to a Single HR Practice," Organization Science, INFORMS, vol. 21(3), pages 765-780, June.
  44. Claudio Fontana & Markus Pelger & Eckhard Platen, 2017. "Sure Profits via Flash Strategies and the Impossibility of Predictable Jumps," Research Paper Series 385, Quantitative Finance Research Centre, University of Technology, Sydney.
  45. Da Dong & Qingfu Liu & Pingping Tao & Zhiliang Ying, 2021. "The pricing mechanism between ETF option and spot markets in China," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 41(8), pages 1286-1300, August.
  46. Carpenter, Jennifer N. & Stanton, Richard & Wallace, Nancy, 2010. "Optimal exercise of executive stock options and implications for firm cost," Journal of Financial Economics, Elsevier, vol. 98(2), pages 315-337, November.
  47. Gunther Capelle-Blancard & Séverine Vandelanoite, 2002. "Relations intrajournalières entre l'indice CAC 40 et les options sur indice : Quel est le marché préféré des investisseurs informés ?," Annals of Economics and Statistics, GENES, issue 66, pages 143-177.
  48. Chen, Yu-Fu & Zoega, Gylfi, 2010. "An essay on the generational effect of employment protection," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 349-359, May.
  49. Jonathan Ziveyi, 2011. "The Evaluation of Early Exercise Exotic Options," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 12, July-Dece.
  50. Dan W. French & Edwin D. Maberly, 1992. "Early Exercise Of American Index Options," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 15(2), pages 127-137, June.
  51. Battauz, A. & Pratelli, M., 2004. "Optimal stopping and American options with discrete dividends and exogenous risk," Insurance: Mathematics and Economics, Elsevier, vol. 35(2), pages 255-265, October.
  52. Claudio Fontana & Markus Pelger & Eckhard Platen, 2017. "On the existence of sure profits via flash strategies," Papers 1708.03099, arXiv.org, revised Jul 2019.
  53. Cassimon, D. & Engelen, P.J. & Thomassen, L. & Van Wouwe, M., 2007. "Closed-form valuation of American call options on stocks paying multiple dividends," Finance Research Letters, Elsevier, vol. 4(1), pages 33-48, March.
  54. Andrew Ziogas, 2005. "Pricing American Options Using Fourier Analysis," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2005.
  55. Cristina Viegas & José Azevedo-Pereira, 2020. "A Quasi-Closed-Form Solution for the Valuation of American Put Options," IJFS, MDPI, vol. 8(4), pages 1-16, October.
  56. Rodrigo Hernández & Wayne Lee & Pu Liu & Tian-Shyr Dai, 2013. "Outperformance Certificates: analysis, pricing, interpretation, and performance," Review of Quantitative Finance and Accounting, Springer, vol. 40(4), pages 691-713, May.
  57. Cosma, Antonio & Galluccio, Stefano & Pederzoli, Paola & Scaillet, Olivier, 2020. "Early Exercise Decision in American Options with Dividends, Stochastic Volatility, and Jumps," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 55(1), pages 331-356, February.
  58. Perrakis, Stylianos & Lefoll, Jean, 2000. "Option pricing and replication with transaction costs and dividends," Journal of Economic Dynamics and Control, Elsevier, vol. 24(11-12), pages 1527-1561, October.
  59. Gary Trennepohl, 1981. "A Comparison Of Listed Option Premiums And Black And Scholes Model Prices: 1973–1979," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 4(1), pages 11-20, March.
  60. Wesseler, J. & Weichert, M., 1999. "Der Wert zusätzlicher Informationen bei Investitionsentscheidungen mit einem hohen Grad an Irreversibilität," Proceedings “Schriften der Gesellschaft für Wirtschafts- und Sozialwissenschaften des Landbaues e.V.”, German Association of Agricultural Economists (GEWISOLA), vol. 35.
  61. Martin Wallmeier, 2024. "Quality issues of implied volatilities of index and stock options in the OptionMetrics IvyDB database," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 44(5), pages 854-875, May.
  62. Yang, Xiaofeng & Yu, Jinping & Xu, Mengna & Fan, Wenjing, 2018. "Convertible bond pricing with partial integro-differential equation model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 152(C), pages 35-50.
  63. Burcu Aydoğan & Ümit Aksoy & Ömür Uğur, 2018. "On the methods of pricing American options: case study," Annals of Operations Research, Springer, vol. 260(1), pages 79-94, January.
  64. Wang, Chou-Wen & Wu, Chin-Wen & Tzang, Shyh-Weir, 2012. "Implementing option pricing models when asset returns follow an autoregressive moving average process," International Review of Economics & Finance, Elsevier, vol. 24(C), pages 8-25.
  65. German Bernhart & Jan-Frederik Mai, 2016. "On the impact of a scrip dividend on an equity forward," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 3(04), pages 1-16, December.
  66. Barraclough, Kathryn & Stoll, Hans R. & Whaley, Robert E., 2012. "Stock option contract adjustments: The case of special dividends," Journal of Financial Markets, Elsevier, vol. 15(2), pages 233-257.
  67. Karen Alpert, 2010. "Taxation and the Early Exercise of Call Options," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 37(5-6), pages 715-736.
  68. Don Chance & Raman Kumar & Don Rich, 2000. "Dividend Forecast Biases in Index Option Valuation," Review of Derivatives Research, Springer, vol. 4(3), pages 285-303, October.
  69. Gong, Pu & He, Zhiwei & Zhu, Song-Ping, 2006. "Pricing convertible bonds based on a multi-stage compound-option model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 449-462.
  70. Chan, Chia-Ying & de Peretti, Christian & Qiao, Zhuo & Wong, Wing-Keung, 2012. "Empirical test of the efficiency of the UK covered warrants market: Stochastic dominance and likelihood ratio test approach," Journal of Empirical Finance, Elsevier, vol. 19(1), pages 162-174.
  71. Pier Giuseppe Giribone & Simone Ligato, 2016. "Flexible-forward pricing through Leisen–Reimer trees: Implementation and performance comparison with traditional Markov chains," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 3(02), pages 1-21, June.
  72. L. Sereno, 2006. "Valuing R & D Investments With A Jump-Diffusion Process," Working Papers 569, Dipartimento Scienze Economiche, Universita' di Bologna.
  73. Paolo Angelis & Roberto Marchis & Antonio L. Martire & Emilio Russo, 2022. "A flexible lattice framework for valuing options on assets paying discrete dividends and variable annuities embedding GMWB riders," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 45(1), pages 415-446, June.
  74. Karen Alpert, 2010. "Taxation and the Early Exercise of Call Options," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 37(5‐6), pages 715-736, June.
  75. Andrew Ziogas, 2005. "Pricing American Options Using Fourier Analysis," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 29, July-Dece.
  76. Francesc Llerena-Garrés, 2000. "Una nota sobre valoración de opciones americanas y arbitraje," Investigaciones Economicas, Fundación SEPI, vol. 24(1), pages 207-218, January.
  77. Jonathan Ziveyi, 2011. "The Evaluation of Early Exercise Exotic Options," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2011.
  78. Mark Broadie & Jérôme Detemple, 1996. "Recent Advances in Numerical Methods for Pricing Derivative Securities," CIRANO Working Papers 96s-17, CIRANO.
  79. Foad Shokrollahi, 2017. "Pricing compound and extendible options under mixed fractional Brownian motion with jumps," Papers 1708.04829, arXiv.org.
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