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Ambiguous Volatility and Asset Pricing in Continuous Time

Citations

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Cited by:

  1. Gianluca Cassese, 2021. "Complete and competitive financial markets in a complex world," Finance and Stochastics, Springer, vol. 25(4), pages 659-688, October.
  2. Lin, Qian, 2019. "Jensen inequality for superlinear expectations," Statistics & Probability Letters, Elsevier, vol. 151(C), pages 79-83.
  3. Hu, Mingshang & Ji, Shaolin, 2017. "Dynamic programming principle for stochastic recursive optimal control problem driven by a G-Brownian motion," Stochastic Processes and their Applications, Elsevier, vol. 127(1), pages 107-134.
  4. Patrick Beissner & Frank Riedel, 2018. "Non-implementability of Arrow–Debreu equilibria by continuous trading under volatility uncertainty," Finance and Stochastics, Springer, vol. 22(3), pages 603-620, July.
  5. Shuzhen Yang & Wenqing Zhang, 2024. "Asset pricing under model uncertainty with finite time and states," Papers 2408.13048, arXiv.org.
  6. Beißner, Patrick, 2013. "Coherent Price Systems and Uncertainty-Neutral Valuation," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 80010, Verein für Socialpolitik / German Economic Association.
  7. Epstein, Larry G. & Ji, Shaolin, 2014. "Ambiguous volatility, possibility and utility in continuous time," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 269-282.
  8. Patrick Beissner & Frank Riedel, 2014. "Non-Implementability of Arrow-Debreu Equilibria by Continuous Trading under Knightian Uncertainty," Papers 1409.6940, arXiv.org.
  9. Jianjun Miao & Alejandro Rivera, 2016. "Robust Contracts in Continuous Time," Econometrica, Econometric Society, vol. 84, pages 1405-1440, July.
  10. Xu, Yuhong, 2022. "Optimal growth under model uncertainty," The North American Journal of Economics and Finance, Elsevier, vol. 60(C).
  11. Weixuan Xia, 2023. "Optimal Consumption--Investment Problems under Time-Varying Incomplete Preferences," Papers 2312.00266, arXiv.org.
  12. Fadina, Tolulope & Herzberg, Frederik, 2015. "Hyperfinite construction of G-expectation," Center for Mathematical Economics Working Papers 540, Center for Mathematical Economics, Bielefeld University.
  13. Jeleva, Meglena & Tallon, Jean-Marc, 2016. "Ambiguïté, comportements et marchés financiers," L'Actualité Economique, Société Canadienne de Science Economique, vol. 92(1-2), pages 351-383, Mars-Juin.
  14. Huang, Helen Hui & Zhang, Shunming & Zhu, Wei, 2017. "Limited participation under ambiguity of correlation," Journal of Financial Markets, Elsevier, vol. 32(C), pages 97-143.
  15. Thibaut Mastrolia & Dylan Possamai, 2015. "Moral hazard under ambiguity," Papers 1511.03616, arXiv.org, revised Oct 2016.
  16. Hansen, Peter G., 2022. "New formulations of ambiguous volatility with an application to optimal dynamic contracting," Journal of Economic Theory, Elsevier, vol. 199(C).
  17. Hachmi Ben Ameur & Mouna Boujelbène & J. L. Prigent & Emna Triki, 2020. "Optimal Portfolio Positioning on Multiple Assets Under Ambiguity," Computational Economics, Springer;Society for Computational Economics, vol. 56(1), pages 21-57, June.
  18. Thaddeus Neururer, 2020. "Past managerial guidance and returns to variance trading around earnings announcements," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 60(3), pages 2995-3031, September.
  19. Changhong Guo & Shaomei Fang & Yong He, 2023. "Derivation and Application of Some Fractional Black–Scholes Equations Driven by Fractional G-Brownian Motion," Computational Economics, Springer;Society for Computational Economics, vol. 61(4), pages 1681-1705, April.
  20. Yanchu Liu & Chen Liu & Yiyao Chen & Xianming Sun, 2024. "Option‐Implied Ambiguity and Equity Return Predictability," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 44(9), pages 1556-1577, September.
  21. David C. Ling & Andy Naranjo & Benjamin Scheick, 2016. "Credit Availability and Asset Pricing Dynamics in Illiquid Markets: Evidence from Commercial Real Estate Markets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 48(7), pages 1321-1362, October.
  22. Falei Wang & Guoqiang Zheng, 2021. "Backward Stochastic Differential Equations Driven by G-Brownian Motion with Uniformly Continuous Generators," Journal of Theoretical Probability, Springer, vol. 34(2), pages 660-681, June.
  23. Julian Holzermann, 2018. "The Hull-White Model under Volatility Uncertainty," Papers 1808.03463, arXiv.org, revised Jan 2021.
  24. Amine Ismail & Huy^en Pham, 2016. "Robust Markowitz mean-variance portfolio selection under ambiguous covariance matrix ," Papers 1610.06805, arXiv.org, revised Mar 2017.
  25. Qian Lin & Frank Riedel, 2021. "Optimal consumption and portfolio choice with ambiguous interest rates and volatility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1189-1202, April.
  26. Feng, Felix Zhiyu & Westerfield, Mark M., 2021. "Dynamic resource allocation with hidden volatility," Journal of Financial Economics, Elsevier, vol. 140(2), pages 560-581.
  27. Bingyan Han & Chi Seng Pun & Hoi Ying Wong, 2021. "Robust state-dependent mean–variance portfolio selection: a closed-loop approach," Finance and Stochastics, Springer, vol. 25(3), pages 529-561, July.
  28. Shige Peng & Huilin Zhang, 2022. "Wong–Zakai Approximation for Stochastic Differential Equations Driven by G-Brownian Motion," Journal of Theoretical Probability, Springer, vol. 35(1), pages 410-425, March.
  29. Kostopoulos, Dimitrios & Meyer, Steffen & Uhr, Charline, 2020. "Ambiguity and investor behavior," SAFE Working Paper Series 297, Leibniz Institute for Financial Research SAFE.
  30. Frank Riedel, 2015. "Financial economics without probabilistic prior assumptions," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 38(1), pages 75-91, April.
  31. Hölzermann, Julian & Lin, Qian, 2019. "Term Structure Modeling under Volatility Uncertainty: A Forward Rate Model driven by G-Brownian Motion," Center for Mathematical Economics Working Papers 613, Center for Mathematical Economics, Bielefeld University.
  32. Jaeyoung Sung, 2022. "Optimal contracting under mean-volatility joint ambiguity uncertainties," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(2), pages 593-642, September.
  33. Changhong Guo & Shaomei Fang & Yong He, 2023. "A Generalized Stochastic Process: Fractional G-Brownian Motion," Methodology and Computing in Applied Probability, Springer, vol. 25(1), pages 1-34, March.
  34. Zhang, Jian & Kong, Dongmin & Liu, Hening & Wu, Ji, 2019. "Asset pricing with time varying pessimism and rare disasters," International Review of Economics & Finance, Elsevier, vol. 60(C), pages 165-175.
  35. Marcel Nutz, 2014. "Superreplication under model uncertainty in discrete time," Finance and Stochastics, Springer, vol. 18(4), pages 791-803, October.
  36. Izhakian, Yehuda, 2020. "A theoretical foundation of ambiguity measurement," Journal of Economic Theory, Elsevier, vol. 187(C).
  37. Jiang, Julia & Liu, Jun & Tian, Weidong & Zeng, Xudong, 2022. "Portfolio concentration, portfolio inertia, and ambiguous correlation," Journal of Economic Theory, Elsevier, vol. 203(C).
  38. Li, Wenhui & Ockenfels, Peter & Wilde, Christian, 2021. "The effect of ambiguity on price formation and trading behavior in financial markets," SAFE Working Paper Series 326, Leibniz Institute for Financial Research SAFE.
  39. Shige Peng & Shuzhen Yang, 2020. "Distributional uncertainty of the financial time series measured by G-expectation," Papers 2011.09226, arXiv.org, revised Jul 2021.
  40. Meyer, Steffen & Uhr, Charline, 2024. "Ambiguity and private investors’ behavior after forced fund liquidations," Journal of Financial Economics, Elsevier, vol. 156(C).
  41. Hölzermann, Julian, 2018. "Bond Pricing under Knightian Uncertainty. A Short Rate Model with Drift and Volatility Uncertainty," Center for Mathematical Economics Working Papers 582, Center for Mathematical Economics, Bielefeld University.
  42. Julian Holzermann, 2019. "Term Structure Modeling under Volatility Uncertainty," Papers 1904.02930, arXiv.org, revised Sep 2021.
  43. Peter G. Hansen, 2021. "New Formulations of Ambiguous Volatility with an Application to Optimal Dynamic Contracting," Papers 2101.12306, arXiv.org.
  44. Lin, Qian & Sun, Xianming & Zhou, Chao, 2020. "Horizon-unbiased investment with ambiguity," Journal of Economic Dynamics and Control, Elsevier, vol. 114(C).
  45. Cheng, Bingqian & Wang, Hao & Zhang, Lihong, 2024. "Robust investment for insurers with correlation ambiguity," The Quarterly Review of Economics and Finance, Elsevier, vol. 93(C), pages 247-257.
  46. Geoffrey Poitras & John Heaney, 2015. "Classical Ergodicity and Modern Portfolio Theory," Post-Print hal-03680380, HAL.
  47. Ariel Neufeld & Antonis Papapantoleon & Qikun Xiang, 2023. "Model-Free Bounds for Multi-Asset Options Using Option-Implied Information and Their Exact Computation," Management Science, INFORMS, vol. 69(4), pages 2051-2068, April.
  48. Johannes Muhle‐Karbe & Marcel Nutz & Xiaowei Tan, 2020. "Asset pricing with heterogeneous beliefs and illiquidity," Mathematical Finance, Wiley Blackwell, vol. 30(4), pages 1392-1421, October.
  49. Jakša Cvitanić & Dylan Possamaï & Nizar Touzi, 2017. "Moral Hazard in Dynamic Risk Management," Management Science, INFORMS, vol. 63(10), pages 3328-3346, October.
  50. Patrick Beissner, 2019. "Coherent-Price Systems and Uncertainty-Neutral Valuation," Risks, MDPI, vol. 7(3), pages 1-18, September.
  51. Mingshang Hu & Shaolin Ji, 2013. "A note on pricing of contingent claims under G-expectation," Papers 1303.4274, arXiv.org.
  52. Martin Larsson, 2013. "Non-Equivalent Beliefs and Subjective Equilibrium Bubbles," Papers 1306.5082, arXiv.org.
  53. Yuhong Xu, 2014. "Robust valuation and risk measurement under model uncertainty," Papers 1407.8024, arXiv.org.
  54. Qian Lin & Xianming Sun & Chao Zhou, 2019. "Horizon-unbiased Investment with Ambiguity," Papers 1904.09379, arXiv.org.
  55. Shaolin Ji & Xiaomin Shi, 2016. "Recursive utility optimization with concave coefficients," Papers 1607.00721, arXiv.org.
  56. Patrick Beissner, 2017. "Equilibrium prices and trade under ambiguous volatility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(2), pages 213-238, August.
  57. Zhao, Guihai, 2017. "Confidence, bond risks, and equity returns," Journal of Financial Economics, Elsevier, vol. 126(3), pages 668-688.
  58. Vorbrink, Jörg, 2014. "Financial markets with volatility uncertainty," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 64-78.
  59. Hanwu Li & Falei Wang, 2019. "Stochastic Optimal Control Problem with Obstacle Constraints in Sublinear Expectation Framework," Journal of Optimization Theory and Applications, Springer, vol. 183(2), pages 422-439, November.
  60. Kostopoulos, Dimitrios & Meyer, Steffen & Uhr, Charline, 2022. "Ambiguity about volatility and investor behavior," Journal of Financial Economics, Elsevier, vol. 145(1), pages 277-296.
  61. Mao, Jie & Shen, Guanxiong & Yan, Jingzhou, 2023. "A continuous-time macro-finance model with Knightian uncertainty," Pacific-Basin Finance Journal, Elsevier, vol. 77(C).
  62. Lin, Qian & Luo, Yulei & Sun, Xianming, 2022. "Robust investment strategies with two risky assets," Journal of Economic Dynamics and Control, Elsevier, vol. 134(C).
  63. Izhakian, Yehuda, 2017. "Expected utility with uncertain probabilities theory," Journal of Mathematical Economics, Elsevier, vol. 69(C), pages 91-103.
  64. Shaolin Ji & Xiaomin Shi, 2016. "Recursive utility maximization under partial information," Papers 1605.05802, arXiv.org.
  65. Tolulope Fadina & Ariel Neufeld & Thorsten Schmidt, 2018. "Affine processes under parameter uncertainty," Papers 1806.02912, arXiv.org, revised Mar 2019.
  66. Marcel Nutz & José A. Scheinkman, 2020. "Shorting in Speculative Markets," Journal of Finance, American Finance Association, vol. 75(2), pages 995-1036, April.
  67. Matteo Burzoni & Frank Riedel & H. Mete Soner, 2021. "Viability and Arbitrage Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 89(3), pages 1207-1234, May.
  68. Shuzhen Yang, 2021. "Compensatory model for quantile estimation and application to VaR," Papers 2112.07278, arXiv.org.
  69. Tian, Dejian & Tian, Weidong, 2014. "Optimal risk-sharing under mutually singular beliefs," Mathematical Social Sciences, Elsevier, vol. 72(C), pages 41-49.
  70. Qian Lin, 2015. "Dynamic indifference pricing via the G-expectation," Papers 1503.08628, arXiv.org, revised Sep 2020.
  71. Müller, Janis & Posch, Peter N., 2019. "Consumption volatility ambiguity and risk premium’s time-variation," Finance Research Letters, Elsevier, vol. 29(C), pages 336-339.
  72. Arnon Archankul & Giorgio Ferrari & Tobias Hellmann & Jacco J. J. Thijssen, 2023. "Singular Control in a Cash Management Model with Ambiguity," Papers 2309.12014, arXiv.org.
  73. Luo, Qin & Bu, Jinfeng & Xu, Weiju & Huang, Dengshi, 2023. "Stock market volatility prediction: Evidence from a new bagging model," International Review of Economics & Finance, Elsevier, vol. 87(C), pages 445-456.
  74. Wang, Jiqian & Huang, Yisu & Ma, Feng & Chevallier, Julien, 2020. "Does high-frequency crude oil futures data contain useful information for predicting volatility in the US stock market? New evidence," Energy Economics, Elsevier, vol. 91(C).
  75. Yuki Shigeta, 2017. "Portfolio selections under mean-variance preference with multiple priors for means and variances," Annals of Finance, Springer, vol. 13(1), pages 97-124, February.
  76. Nendel, Max & Röckner, Michael, 2019. "Upper Envelopes of Families of Feller Semigroups and Viscosity Solutions to a Class of Nonlinear Cauchy Problems," Center for Mathematical Economics Working Papers 618, Center for Mathematical Economics, Bielefeld University.
  77. Milo Bianchi & Jean-Marc Tallon, 2019. "Ambiguity Preferences and Portfolio Choices: Evidence from the Field," Management Science, INFORMS, vol. 65(4), pages 1486-1501, April.
  78. Seokwoo Lee & Alejandro Rivera, 2021. "Extrapolation Bias and Robust Dynamic Liquidity Management," Management Science, INFORMS, vol. 67(10), pages 6421-6442, October.
  79. Ariel Neufeld & Antonis Papapantoleon & Qikun Xiang, 2020. "Model-free bounds for multi-asset options using option-implied information and their exact computation," Papers 2006.14288, arXiv.org, revised Jan 2022.
  80. Julian Holzermann, 2023. "Optimal Investment with Stochastic Interest Rates and Ambiguity," Papers 2306.13343, arXiv.org, revised Oct 2023.
  81. Weidong Tian & Junya Jiang & Weidong Tian, 2017. "Model Uncertainty Effect on Asset Prices," International Review of Finance, International Review of Finance Ltd., vol. 17(2), pages 205-233, June.
  82. Xinpeng Li & Yiqing Lin, 2017. "Generalized Wasserstein Distance and Weak Convergence of Sublinear Expectations," Journal of Theoretical Probability, Springer, vol. 30(2), pages 581-593, June.
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