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A stochastic calculus model of continuous trading: Complete markets

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Cited by:

  1. Lian, Yu-Min & Chen, Jun-Home & Liao, Szu-Lang, 2021. "Cojump risks and their impacts on option pricing," The Quarterly Review of Economics and Finance, Elsevier, vol. 79(C), pages 399-410.
  2. Paul McCloud, 2020. "Expectation and Price in Incomplete Markets," Papers 2006.16703, arXiv.org.
  3. Robert Jarrow & Philip Protter & Sergio Pulido, 2015. "The Effect Of Trading Futures On Short Sale Constraints," Mathematical Finance, Wiley Blackwell, vol. 25(2), pages 311-338, April.
  4. Daniel Hern'andez-Hern'andez & Leonel P'erez-Hern'andez, 2012. "Robust utility maximization for L\'evy processes: Penalization and solvability," Papers 1206.0715, arXiv.org.
  5. Altissimo, Filippo & Mele, Antonio, 2005. "Simulated nonparametric estimation of dynamic models with applications to finance," LSE Research Online Documents on Economics 24658, London School of Economics and Political Science, LSE Library.
  6. Lian, Yu-Min & Liao, Szu-Lang & Chen, Jun-Home, 2015. "State-dependent jump risks for American gold futures option pricing," The North American Journal of Economics and Finance, Elsevier, vol. 33(C), pages 115-133.
  7. repec:dau:papers:123456789/5374 is not listed on IDEAS
  8. Girotto, Bruno & Ortu, Fulvio, 1997. "Numeraires, equivalent martingale measures and completeness in finite dimensional securities markets," Journal of Mathematical Economics, Elsevier, vol. 27(3), pages 283-294, April.
  9. Truong, Chi & Trück, Stefan & Mathew, Supriya, 2018. "Managing risks from climate impacted hazards – The value of investment flexibility under uncertainty," European Journal of Operational Research, Elsevier, vol. 269(1), pages 132-145.
  10. Wayne King Ming Chan, 2015. "RAROC-Based Contingent Claim Valuation," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 3-2015.
  11. Hardy Hulley & Thomas A. McWalter, 2015. "Quadratic Hedging of Basis Risk," JRFM, MDPI, vol. 8(1), pages 1-20, February.
  12. Timothy Johnson, 2015. "Reciprocity as a Foundation of Financial Economics," Journal of Business Ethics, Springer, vol. 131(1), pages 43-67, September.
  13. Yang Chang, 2014. "A Consistent Approach to Modelling the Interest Rate Market Anomalies Post the Global Financial Crisis," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 18, July-Dece.
  14. Mingxin Xu, 2006. "Risk measure pricing and hedging in incomplete markets," Annals of Finance, Springer, vol. 2(1), pages 51-71, January.
  15. Wayne King Ming Chan, 2015. "RAROC-Based Contingent Claim Valuation," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 21, July-Dece.
  16. Gabriel Frahm, 2016. "Pricing And Valuation Under The Real-World Measure," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 1-39, February.
  17. Lian, Yu-Min & Chen, Jun-Home, 2022. "Foreign exchange option pricing under regime switching with asymmetrical jumps," Finance Research Letters, Elsevier, vol. 46(PA).
  18. Lian, Yu-Min & Chen, Jun-Home, 2020. "Joint dynamic modeling and option pricing in incomplete derivative-security market," The North American Journal of Economics and Finance, Elsevier, vol. 51(C).
  19. Tak Siu & John Lau & Hailiang Yang, 2007. "On Valuing Participating Life Insurance Contracts with Conditional Heteroscedasticity," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 14(3), pages 255-275, September.
  20. Yang Chang, 2014. "A Consistent Approach to Modelling the Interest Rate Market Anomalies Post the Global Financial Crisis," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2014.
  21. Elyes Jouini, 2020. "Equilibrium pricing and market completion: a counterexample," PSE-Ecole d'économie de Paris (Postprint) halshs-03048797, HAL.
  22. Romuald Hervé Momeya & Manuel Morales, 2016. "On the Price of Risk of the Underlying Markov Chain in a Regime-Switching Exponential Lévy Model," Methodology and Computing in Applied Probability, Springer, vol. 18(1), pages 107-135, March.
  23. Robert A. Jarrow & Pierre Patie & Anna Srapionyan & Yixuan Zhao, 2021. "Risk‐neutral pricing techniques and examples," Mathematical Finance, Wiley Blackwell, vol. 31(3), pages 857-884, July.
  24. Lian, Yu-Min & Chen, Jun-Home, 2023. "Valuation of chooser options with state-dependent risks," Finance Research Letters, Elsevier, vol. 52(C).
  25. Shen, Yang & Siu, Tak Kuen, 2013. "Stochastic differential game, Esscher transform and general equilibrium under a Markovian regime-switching Lévy model," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 757-768.
  26. Farzad Fard & Tak Siu, 2013. "Pricing and managing risks of European-style options in a Markovian regime-switching binomial model," Annals of Finance, Springer, vol. 9(3), pages 421-438, August.
  27. Jouini, Elyes, 2001. "Arbitrage and control problems in finance: A presentation," Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 167-183, April.
  28. Siu, Tak Kuen & Yang, Hailiang & Lau, John W., 2008. "Pricing currency options under two-factor Markov-modulated stochastic volatility models," Insurance: Mathematics and Economics, Elsevier, vol. 43(3), pages 295-302, December.
  29. U. Cherubini & M. Esposito, 1995. "Options in and on interest rate futures contracts: results from martingale pricing theory," Applied Mathematical Finance, Taylor & Francis Journals, vol. 2(1), pages 1-16.
  30. Alev Meral, 2019. "Comparison of various risk measures for an optimal portfolio," Papers 1912.09573, arXiv.org.
  31. Elyès Jouini & Clotilde Napp, 2002. "Arbitrage Pricing And Equilibrium Pricing: Compatibility Conditions," World Scientific Book Chapters, in: Marco Avellaneda (ed.), Quantitative Analysis In Financial Markets Collected Papers of the New York University Mathematical Finance Seminar(Volume III), chapter 6, pages 131-158, World Scientific Publishing Co. Pte. Ltd..
  32. Jos'e Manuel Corcuera, 2021. "The Golden Age of the Mathematical Finance," Papers 2102.06693, arXiv.org, revised Mar 2021.
  33. Daniel C. Schwarz, 2015. "Market Completion with Derivative Securities," Papers 1506.00188, arXiv.org.
  34. Gabriel Frahm, 0. "Arbitrage Pricing Theory In Ergodic Markets," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(05), pages 1-28.
  35. Elyès Jouini & Hédi Kallal, 1999. "Viability and Equilibrium in Securities Markets with Frictions," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 275-292, July.
  36. Timothy C. Johnson, 2013. "Reciprocity as the foundation of Financial Economics," Papers 1310.2798, arXiv.org.
  37. Cheng-few Lee & Keshab Shrestha & Robert Welch, 2007. "Relationship between Treasury bills and Eurodollars: Theoretical and Empirical Analyses," Review of Quantitative Finance and Accounting, Springer, vol. 28(2), pages 163-185, February.
  38. Damiano Brigo & Fabio Mercurio, 2008. "Discrete Time vs Continuous Time Stock-price Dynamics and implications for Option Pricing," Papers 0812.4010, arXiv.org.
  39. Munk, Claus, 2015. "Financial Asset Pricing Theory," OUP Catalogue, Oxford University Press, number 9780198716457, Decembrie.
  40. Kogan, Leonid, 2001. "An equilibrium model of irreversible investment," Journal of Financial Economics, Elsevier, vol. 62(2), pages 201-245, November.
  41. Liew, Chuin Ching & Siu, Tak Kuen, 2010. "A hidden Markov regime-switching model for option valuation," Insurance: Mathematics and Economics, Elsevier, vol. 47(3), pages 374-384, December.
  42. Lau, John W. & Siu, Tak Kuen, 2008. "On option pricing under a completely random measure via a generalized Esscher transform," Insurance: Mathematics and Economics, Elsevier, vol. 43(1), pages 99-107, August.
  43. N. Azevedo & D. Pinheiro & S. Z. Xanthopoulos & A. N. Yannacopoulos, 2018. "Who would invest only in the risk-free asset?," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 5(03), pages 1-14, September.
  44. Stanley R. Pliska, 1984. "A Stochastic Calculus Model of Continuous Trading: Optimal Portfolios," Discussion Papers 608, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  45. Pious Asiimwe & Charles Wilson Mahera & Olivier Menoukeu-Pamen, 2016. "On the Price of Risk Under a Regime Switching CGMY Process," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 23(4), pages 305-335, December.
  46. Gerber, Hans U. & Shiu, Elias S. W., 1996. "Actuarial bridges to dynamic hedging and option pricing," Insurance: Mathematics and Economics, Elsevier, vol. 18(3), pages 183-218, November.
  47. Tomasz Bielecki & Inwon Jang, 2006. "Portfolio optimization with a defaultable security," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 13(2), pages 113-127, June.
  48. Antonella Calzolari & Barbara Torti, 2022. "A Note on the Strong Predictable Representation Property and Enlargement of Filtration," Mathematics, MDPI, vol. 10(10), pages 1-12, May.
  49. Abid, Ilyes & Dhaoui, Abderrazak & Goutte, Stéphane & Guesmi, Khaled, 2019. "Contagion and bond pricing: The case of the ASEAN region," Research in International Business and Finance, Elsevier, vol. 47(C), pages 371-385.
  50. Bo, Lijun & Wang, Yongjin & Yang, Xuewei, 2010. "Markov-modulated jump-diffusions for currency option pricing," Insurance: Mathematics and Economics, Elsevier, vol. 46(3), pages 461-469, June.
  51. Joanna Janczura, 2012. "Pricing electricity derivatives within a Markov regime-switching model," Papers 1203.5442, arXiv.org.
  52. Radu Tunaru, 2015. "Model Risk in Financial Markets:From Financial Engineering to Risk Management," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 9524, January.
  53. Siu, Tak Kuen, 2005. "Fair valuation of participating policies with surrender options and regime switching," Insurance: Mathematics and Economics, Elsevier, vol. 37(3), pages 533-552, December.
  54. Dmitry Kramkov & Silviu Predoiu, 2011. "Integral representation of martingales motivated by the problem of endogenous completeness in financial economics," Papers 1110.3248, arXiv.org, revised Oct 2012.
  55. Elyes Jouini, 2020. "Equilibrium pricing and market completion: a counterexample," Economics Bulletin, AccessEcon, vol. 40(3), pages 1963-1969.
  56. Gianluca Cassese, 2008. "Asset Pricing With No Exogenous Probability Measure," Mathematical Finance, Wiley Blackwell, vol. 18(1), pages 23-54, January.
  57. John Lau & Tak Siu, 2008. "Pricing Risky Debts Under a Markov-modudated Merton Model with Completely Random Measures," Computational Economics, Springer;Society for Computational Economics, vol. 31(3), pages 255-288, April.
  58. Kramkov, Dmitry & Predoiu, Silviu, 2014. "Integral representation of martingales motivated by the problem of endogenous completeness in financial economics," Stochastic Processes and their Applications, Elsevier, vol. 124(1), pages 81-100.
  59. Nuno Azevedo & Diogo Pinheiro & Stylianos Xanthopoulos & Athanasios Yannacopoulos, 2016. "Who would invest only in the risk-free asset?," Papers 1608.02446, arXiv.org.
  60. Wolfgang J. Runggaldier, 2022. "An Italian perspective on the development of financial mathematics from 1992 to 2008," Finance and Stochastics, Springer, vol. 26(1), pages 5-31, January.
  61. Jaime A. Londo~no, 2003. "State Tameness: A New Approach for Credit Constrains," Papers math/0305274, arXiv.org, revised Feb 2004.
  62. Daniel C. Schwarz, 2017. "Market completion with derivative securities," Finance and Stochastics, Springer, vol. 21(1), pages 263-284, January.
  63. Shin-Yun Wang & Ming-Che Chuang & Shih-Kuei Lin & So-De Shyu, 2021. "Option pricing under stock market cycles with jump risks: evidence from the S&P 500 index," Review of Quantitative Finance and Accounting, Springer, vol. 56(1), pages 25-51, January.
  64. Dilip Madan, 2015. "Asset pricing theory for two price economies," Annals of Finance, Springer, vol. 11(1), pages 1-35, February.
  65. Jui‐Jane Chang & Son‐Nan Chen & Ting‐Pin Wu, 2013. "Currency‐Protected Swaps and Swaptions with Nonzero Spreads in a Multicurrency LMM," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 33(9), pages 827-867, September.
  66. Mahayni, Antje & Schoenmakers, John G.M., 2011. "Minimum return guarantees with fund switching rights—An optimal stopping problem," Journal of Economic Dynamics and Control, Elsevier, vol. 35(11), pages 1880-1897.
  67. Robert Brooks & Joshua A. Brooks, 2017. "An Option Valuation Framework Based On Arithmetic Brownian Motion: Justification And Implementation Issues," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 40(3), pages 401-427, September.
  68. Antje Mahayni, 2003. "Effectiveness of Hedging Strategies under Model Misspecification and Trading Restrictions," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 6(05), pages 521-552.
  69. Timo Willershausen & Sascha H. Mölls & Karl-Heinz Schild, 2007. "Unsicherheit und der Wert realer Optionen," Schmalenbach Journal of Business Research, Springer, vol. 59(3), pages 314-332, May.
  70. Noorani, Idin & Mehrdoust, Farshid & Nasroallah, Abdelaziz, 2021. "A generalized antithetic variates Monte-Carlo simulation method for pricing of Asian option in a Markov regime-switching model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 1-15.
  71. Jarrow, Robert & Protter, Philip, 2012. "Discrete versus continuous time models: Local martingales and singular processes in asset pricing theory," Finance Research Letters, Elsevier, vol. 9(2), pages 58-62.
  72. Timothy C. Johnson, 2012. "Ethics and Finance: the role of mathematics," Papers 1210.5390, arXiv.org.
  73. Nuerxiati Abudurexiti & Kai He & Dongdong Hu & Hasanjan Sayit, 2021. "A note on closed-form spread option valuation under log-normal models," Papers 2109.05431, arXiv.org, revised Feb 2024.
  74. Miltersen, Kristian R. & Persson, Svein-Arne, 1999. "Pricing rate of return guarantees in a Heath-Jarrow-Morton framework," Insurance: Mathematics and Economics, Elsevier, vol. 25(3), pages 307-325, December.
  75. Hosam Ki & Byungwook Choi & Kook‐Hyun Chang & Miyoung Lee, 2005. "Option pricing under extended normal distribution," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 25(9), pages 845-871, September.
  76. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
  77. Siu, Tak Kuen, 2008. "A game theoretic approach to option valuation under Markovian regime-switching models," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 1146-1158, June.
  78. Tak Siu, 2006. "Option Pricing Under Autoregressive Random Variance Models," North American Actuarial Journal, Taylor & Francis Journals, vol. 10(2), pages 62-75.
  79. Erik Schlögl, 2002. "A multicurrency extension of the lognormal interest rate Market Models," Finance and Stochastics, Springer, vol. 6(2), pages 173-196.
  80. Martin HERDEGEN & Martin SCHWEIZER, 2016. "Economically Consistent Valuations and Put-Call Parity," Swiss Finance Institute Research Paper Series 16-02, Swiss Finance Institute.
  81. Henryk Gzyl, 2000. "Maxentropic construction of risk neutral measures: discrete market models," Applied Mathematical Finance, Taylor & Francis Journals, vol. 7(4), pages 229-239.
  82. Badescu, Alex & Elliott, Robert J. & Siu, Tak Kuen, 2009. "Esscher transforms and consumption-based models," Insurance: Mathematics and Economics, Elsevier, vol. 45(3), pages 337-347, December.
  83. Svetlozar Rachev & Stoyan Stoyanov & Frank J. Fabozzi, 2017. "Behavioral Finance Option Pricing Formulas Consistent with Rational Dynamic Asset Pricing," Papers 1710.03205, arXiv.org.
  84. Schlögl, Erik, 2013. "Option pricing where the underlying assets follow a Gram/Charlier density of arbitrary order," Journal of Economic Dynamics and Control, Elsevier, vol. 37(3), pages 611-632.
  85. Claus Munk, 1997. "No-Arbitrage Bounds on Contingent Claims Prices with Convex Constraints on the Dollar Investments of the Hedge Portfolio," Finance 9712006, University Library of Munich, Germany.
  86. Robert A. Jarrow, 2009. "The Term Structure of Interest Rates," Annual Review of Financial Economics, Annual Reviews, vol. 1(1), pages 69-96, November.
  87. Yuan Hu & W. Brent Lindquist & Svetlozar T. Rachev & Frank J. Fabozzi, 2023. "Option pricing using a skew random walk pricing tree," Papers 2303.17014, arXiv.org.
  88. Pio Zanzotto, 1995. "Some applications of stochastic analysis in financial economics: An outline," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 18(2), pages 181-198, September.
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  90. Martin Herdegen & Martin Schweizer, 2018. "Semi‐efficient valuations and put‐call parity," Mathematical Finance, Wiley Blackwell, vol. 28(4), pages 1061-1106, October.
  91. Musiela, Marek, 1995. "General framework for pricing derivative securities," Stochastic Processes and their Applications, Elsevier, vol. 55(2), pages 227-251, February.
  92. Gabriel Frahm & Alexander Jonen & Rainer Schüssler, 2019. "The Fundamental Theorems Of Asset Pricing And The Closed-End Fund Puzzle," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(05), pages 1-31, August.
  93. Robert J. Elliott & Tak Kuen Siu, 2016. "Pricing regime-switching risk in an HJM interest rate environment," Quantitative Finance, Taylor & Francis Journals, vol. 16(12), pages 1791-1800, December.
  94. Robert J. Elliott & Leunglung Chan & Tak Kuen Siu, 2005. "Option pricing and Esscher transform under regime switching," Annals of Finance, Springer, vol. 1(4), pages 423-432, October.
  95. Kourouvakalis, Stylianos, 2008. "Méthodes numériques pour la valorisation d'options swings et autres problèmes sur les matières premières," Economics Thesis from University Paris Dauphine, Paris Dauphine University, number 123456789/116 edited by Geman, Hélyette.
  96. Berg, Tobias & Mölls, Sascha H. & Willershausen, Timo, 2009. "(Real-)options, uncertainty and comparative statics: Are Black and Scholes mistaken?," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 645, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  97. Guo, Zhi Jun, 2008. "A note on the CIR process and the existence of equivalent martingale measures," Statistics & Probability Letters, Elsevier, vol. 78(5), pages 481-487, April.
  98. Tang, Mei-Ling & Chen, Son-Nan & Lai, Gene C. & Wu, Ting-Pin, 2018. "Asset allocation for a DC pension fund under stochastic interest rates and inflation-protected guarantee," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 87-104.
  99. Bacinello, Anna Rita, 2000. "Valuation of contingent-claims characterising particular pension schemes," Insurance: Mathematics and Economics, Elsevier, vol. 27(2), pages 177-188, October.
  100. David Liu, 2020. "Markov modulated jump-diffusions for currency options when regime switching risk is priced," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 6(04), pages 1-26, February.
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