Implied parameter estimation for jump diffusion option pricing models: Pricing accuracy and the role of loss and evaluation functions
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DOI: 10.1016/j.jcomm.2024.100408
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- Bruno Biais & Christophe Bisière & Matthieu Bouvard & Catherine Casamatta & Albert J. Menkveld, 2023.
"Equilibrium Bitcoin Pricing,"
Journal of Finance, American Finance Association, vol. 78(2), pages 967-1014, April.
- Biais, Bruno & Bisière, Christophe & Bouvard, Matthieu & Casamatta, Catherine & Menkveld, Albert J., 2018. "Equilibrium Bitcoin Pricing," TSE Working Papers 18-973, Toulouse School of Economics (TSE), revised Feb 2022.
- Bruno Biais & Christophe Bisière & Matthieu Bouvard & Catherine Casamatta & Albert J. Menkveld, 2020. "Equilibrium Bitcoin Pricing," EconPol Working Paper 48, ifo Institute - Leibniz Institute for Economic Research at the University of Munich.
- Bruno Biais & Albert Menkveld & Catherine Casamatta & Christophe Bisière & Matthieu Bouvard, 2019. "Equilibrium Bitcoin Pricing," 2019 Meeting Papers 360, Society for Economic Dynamics.
- Bruno Biais & Christophe Bisière & Matthieu Bouvard & Catherine Casamatta & Albert J. Menkveld, 2023. "Equilibrium bitcoin pricing," Post-Print hal-04067665, HAL.
- Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 1997.
"Empirical Performance of Alternative Option Pricing Models,"
Journal of Finance, American Finance Association, vol. 52(5), pages 2003-2049, December.
- Charles Quanwei Cao & Gurdip S. Bakshi & Zhiwu Chen, 1997. "Empirical Performance of Alternative Option Pricing Models," Yale School of Management Working Papers ysm54, Yale School of Management.
- Charles Quanwei Cao & Gurdip S. Bakshi & Zhiwu Chen, 1997. "Empirical Performance of Alternative Option Pricing Models," Yale School of Management Working Papers ysm65, Yale School of Management.
- 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..
- Robert C. Merton, 1973. "Theory of Rational Option Pricing," Bell Journal of Economics, The RAND Corporation, vol. 4(1), pages 141-183, Spring.
- Christoffersen, Peter & Jacobs, Kris, 2004.
"The importance of the loss function in option valuation,"
Journal of Financial Economics, Elsevier, vol. 72(2), pages 291-318, May.
- Peter Christoffersen & Kris Jacobs, 2003. "The Importance of the Loss Function in Option Valuation," CIRANO Working Papers 2003s-52, CIRANO.
- Bates, David S, 1996. "Jumps and Stochastic Volatility: Exchange Rate Processes Implicit in Deutsche Mark Options," The Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 69-107.
- Jinghong Wu & Ke Xu & Xinwei Zheng & Jian Chen, 2021. "Fractional cointegration in bitcoin spot and futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 41(9), pages 1478-1494, September.
- Jaime Casassus & Pierre Collin‐Dufresne, 2005. "Stochastic Convenience Yield Implied from Commodity Futures and Interest Rates," Journal of Finance, American Finance Association, vol. 60(5), pages 2283-2331, October.
- Merton, Robert C., 1976.
"Option pricing when underlying stock returns are discontinuous,"
Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
- Merton, Robert C., 1975. "Option pricing when underlying stock returns are discontinuous," Working papers 787-75., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Beckers, Stan, 1981. "A Note on Estimating the Parameters of the Diffusion-Jump Model of Stock Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(1), pages 127-140, March.
- Ball, Clifford A & Torous, Walter N, 1985. "On Jumps in Common Stock Prices and Their Impact on Call Option Pricing," Journal of Finance, American Finance Association, vol. 40(1), pages 155-173, March.
- David S. Bates, "undated". "Pricing Options Under Jump-Diffusion Processes," Rodney L. White Center for Financial Research Working Papers 37-88, Wharton School Rodney L. White Center for Financial Research.
- Bates, David S, 1991. "The Crash of '87: Was It Expected? The Evidence from Options Markets," Journal of Finance, American Finance Association, vol. 46(3), pages 1009-1044, July.
- Rubinstein, Mark, 1985. "Nonparametric Tests of Alternative Option Pricing Models Using All Reported Trades and Quotes on the 30 Most Active CBOE Option Classes from August 23, 1976 through August 31, 1978," Journal of Finance, American Finance Association, vol. 40(2), pages 455-480, June.
- Darrell Duffie & Jun Pan & Kenneth Singleton, 2000.
"Transform Analysis and Asset Pricing for Affine Jump-Diffusions,"
Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
- Darrell Duffie & Jun Pan & Kenneth Singleton, 1999. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," NBER Working Papers 7105, National Bureau of Economic Research, Inc.
- Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
- Gibson, Rajna & Schwartz, Eduardo S, 1990. "Stochastic Convenience Yield and the Pricing of Oil Contingent Claims," Journal of Finance, American Finance Association, vol. 45(3), pages 959-976, July.
- Philippe Jorion, 1988. "On Jump Processes in the Foreign Exchange and Stock Markets," The Review of Financial Studies, Society for Financial Studies, vol. 1(4), pages 427-445.
- Miltersen, Kristian R. & Schwartz, Eduardo S., 1998. "Pricing of Options on Commodity Futures with Stochastic Term Structures of Convenience Yields and Interest Rates," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 33(1), pages 33-59, March.
- Jimmy E. Hilliard & Julie T. D. Ngo, 2022. "Bitcoin: jumps, convenience yields, and option prices," Quantitative Finance, Taylor & Francis Journals, vol. 22(11), pages 2079-2091, November.
- Bjørn Eraker & Michael Johannes & Nicholas Polson, 2003. "The Impact of Jumps in Volatility and Returns," Journal of Finance, American Finance Association, vol. 58(3), pages 1269-1300, June.
- Rainer Böhme & Nicolas Christin & Benjamin Edelman & Tyler Moore, 2015. "Bitcoin: Economics, Technology, and Governance," Journal of Economic Perspectives, American Economic Association, vol. 29(2), pages 213-238, Spring.
- Athey, Susan & Parashkevov, Ivo & Sarukkai, Vishnu & Xia, Jing, 2016. "Bitcoin Pricing, Adoption, and Usage: Theory and Evidence," Research Papers 3469, Stanford University, Graduate School of Business.
- Cortazar, Gonzalo & Schwartz, Eduardo S., 2003. "Implementing a stochastic model for oil futures prices," Energy Economics, Elsevier, vol. 25(3), pages 215-238, May.
- 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.
- C. He & J. Kennedy & T. Coleman & P. Forsyth & Y. Li & K. Vetzal, 2006. "Calibration and hedging under jump diffusion," Review of Derivatives Research, Springer, vol. 9(1), pages 1-35, January.
- James R. Barth & Hemantha S. B. Herath & Tejaswini C. Herath & Pei Xu, 2020. "Cryptocurrency valuation and ethics: a text analytic approach," Journal of Management Analytics, Taylor & Francis Journals, vol. 7(3), pages 367-388, July.
- Hilliard, Jimmy E. & Reis, Jorge, 1998. "Valuation of Commodity Futures and Options under Stochastic Convenience Yields, Interest Rates, and Jump Diffusions in the Spot," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 33(1), pages 61-86, March.
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Keywords
Jump diffusion; Non-linear least squares; Option pricing; Implied parameters; Simulation; Convenience yield; Bitcoin;All these keywords.
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