Black Scholes for Portfolios of Options in Discrete Time: the Price is Right, the Hedge is wrong
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
- Ross, Stephen A., 1976.
"The arbitrage theory of capital asset pricing,"
Journal of Economic Theory, Elsevier, vol. 13(3), pages 341-360, December.
- Stephen A. Ross, "undated". "The Arbitrage Theory of Capital Asset Pricing," Rodney L. White Center for Financial Research Working Papers 2-73, Wharton School Rodney L. White Center for Financial Research.
- Stephen A. Ross, "undated". "The Arbitrage Theory of Capital Asset Pricing," Rodney L. White Center for Financial Research Working Papers 02-73, Wharton School Rodney L. White Center for Financial Research.
- Leland, Hayne E, 1985.
"Option Pricing and Replication with Transactions Costs,"
Journal of Finance, American Finance Association, vol. 40(5), pages 1283-1301, December.
- Hayne E. Leland., 1984. "Option Pricing and Replication with Transactions Costs," Research Program in Finance Working Papers 144, University of California at Berkeley.
- Rubinstein, Mark, 1984. "A Simple Formula for the Expected Rate of Return of an Option over a Finite Holding Period," Journal of Finance, American Finance Association, vol. 39(5), pages 1503-1509, December.
- 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.
- Gilster, John E., 1990. "The Systematic Risk of Discretely Rebalanced Option Hedges," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(4), pages 507-516, December.
- Antonio S. Mello & Henrik J. Neuhaus, 1998. "A Portfolio Approach to Risk Reduction in Discretely Rebalanced Option Hedges," Management Science, INFORMS, vol. 44(7), pages 921-934, July.
- Stephen A. Ross, 2013.
"The Arbitrage Theory of Capital Asset Pricing,"
World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 1, pages 11-30,
World Scientific Publishing Co. Pte. Ltd..
- Ross, Stephen A., 1976. "The arbitrage theory of capital asset pricing," Journal of Economic Theory, Elsevier, vol. 13(3), pages 341-360, December.
- Stephen A. Ross, "undated". "The Arbitrage Theory of Capital Asset Pricing," Rodney L. White Center for Financial Research Working Papers 2-73, Wharton School Rodney L. White Center for Financial Research.
- Stephen A. Ross, "undated". "The Arbitrage Theory of Capital Asset Pricing," Rodney L. White Center for Financial Research Working Papers 02-73, Wharton School Rodney L. White Center for Financial Research.
- Boyle, Phelim P & Vorst, Ton, 1992. "Option Replication in Discrete Time with Transaction Costs," Journal of Finance, American Finance Association, vol. 47(1), pages 271-293, March.
- Peter Carr & Katrina Ellis & Vishal Gupta, 1998. "Static Hedging of Exotic Options," Journal of Finance, American Finance Association, vol. 53(3), pages 1165-1190, June.
- Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
- John Lintner, 1965. "Security Prices, Risk, And Maximal Gains From Diversification," Journal of Finance, American Finance Association, vol. 20(4), pages 587-615, December.
- Y.M. Kabanov & D.O. Kramkov, 1998. "Asymptotic arbitrage in large financial markets," Finance and Stochastics, Springer, vol. 2(2), pages 143-172.
- Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
- William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
- Boyle, Phelim P. & Emanuel, David, 1980. "Discretely adjusted option hedges," Journal of Financial Economics, Elsevier, vol. 8(3), pages 259-282, September.
- 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.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Fernando Rubio, 2005. "Eficiencia De Mercado, Administracion De Carteras De Fondos Y Behavioural Finance," Finance 0503028, University Library of Munich, Germany, revised 23 Jul 2005.
- Dimson, Elroy & Mussavian, Massoud, 1999. "Three centuries of asset pricing," Journal of Banking & Finance, Elsevier, vol. 23(12), pages 1745-1769, December.
- Dilip B. Madan & Wim Schoutens & King Wang, 2020. "Bilateral multiple gamma returns: Their risks and rewards," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 1-27, March.
- Sonntag, Dominik, 2018. "Die Theorie der fairen geometrischen Rendite [The Theory of Fair Geometric Returns]," MPRA Paper 87082, University Library of Munich, Germany.
- Michael Dempsey, 2015. "Stock Markets, Investments and Corporate Behavior:A Conceptual Framework of Understanding," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number p1007, March.
- 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.
- Lu Zhang, 2017.
"The Investment CAPM,"
European Financial Management, European Financial Management Association, vol. 23(4), pages 545-603, September.
- Zhang, Lu, 2015. "The Investment CAPM," Working Paper Series 2015-19, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
- Lu Zhang, 2017. "The Investment CAPM," NBER Working Papers 23226, National Bureau of Economic Research, Inc.
- Zura Kakushadze & Willie Yu, 2016. "Multifactor Risk Models and Heterotic CAPM," Papers 1602.04902, arXiv.org, revised Mar 2016.
- Eom, Cheoljun, 2017. "Two-faced property of a market factor in asset pricing and diversification effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 190-199.
- Uddin, Ajim & Yu, Dantong, 2020. "Latent factor model for asset pricing," Journal of Behavioral and Experimental Finance, Elsevier, vol. 27(C).
- Sawaliya, Priya & Sinha, Pankaj, 2018. "Behaviour of asset pricing models in pre and post-recession period: an evidence from India," MPRA Paper 93084, University Library of Munich, Germany, revised 22 Jan 2019.
- Jovanovic, Franck & Schinckus, Christophe, 2017. "Econophysics and Financial Economics: An Emerging Dialogue," OUP Catalogue, Oxford University Press, number 9780190205034.
- Randi Næs & Johannes A. Skjeltorp & Bernt Arne Ødegaard, 2009.
"What factors affect the Oslo Stock Exchange?,"
Working Paper
2009/24, Norges Bank.
- Næs, Randi & Skjeltorp, Johannes & Ødegaard, Bernt Arne, 2009. "What factors affect the Oslo Stock Exchange?," UiS Working Papers in Economics and Finance 2009/33, University of Stavanger.
- Sainan Jin & Liangjun Su & Yonghui Zhang, 2015.
"Nonparametric testing for anomaly effects in empirical asset pricing models,"
Empirical Economics, Springer, vol. 48(1), pages 9-36, February.
- Sainan Jin & Liangjun Su & Yonghui Zhang, 2014. "Nonparametric Testing for Anomaly Effects in Empirical Asset Pricing Models," Working Papers 09-2014, Singapore Management University, School of Economics.
- John Y. Campbell, 2000.
"Asset Pricing at the Millennium,"
Journal of Finance, American Finance Association, vol. 55(4), pages 1515-1567, August.
- John Y. Campbell, 2000. "Asset Pricing at the Millennium," Harvard Institute of Economic Research Working Papers 1897, Harvard - Institute of Economic Research.
- John Y. Campbell, 2000. "Asset Pricing at the Millennium," NBER Working Papers 7589, National Bureau of Economic Research, Inc.
- Campbell, John, 2000. "Asset Pricing at the Millennium," Scholarly Articles 3294737, Harvard University Department of Economics.
- Avanidhar Subrahmanyam, 2010. "The Cross†Section of Expected Stock Returns: What Have We Learnt from the Past Twenty†Five Years of Research?," European Financial Management, European Financial Management Association, vol. 16(1), pages 27-42, January.
- Ebrahim, M. Shahid & Girma, Sourafel & Shah, M. Eskandar & Williams, Jonathan, 2014.
"Rationalizing the value premium in emerging markets,"
Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 29(C), pages 51-70.
- M. Shahid Embrahim & Sourafel Girma & M. Eskander Shah & Jonathan Williams, 2013. "Rationalizing the Value Premium in Emerging Markets," Working Papers 13010, Bangor Business School, Prifysgol Bangor University (Cymru / Wales).
- Bodnar, Taras & Reiß, Markus, 2016. "Exact and asymptotic tests on a factor model in low and large dimensions with applications," Journal of Multivariate Analysis, Elsevier, vol. 150(C), pages 125-151.
- Gabriel Fiuza de Bragança & Katia Rocha & Fernando Camacho, 2006.
"A Taxa de Remuneração do Capital e a Nova Regulação das Telecomunicações,"
Discussion Papers
1160, Instituto de Pesquisa Econômica Aplicada - IPEA.
- Bragança, Gabriel & Rocha, Katia & Camacho, Fernando, 2006. "A taxa de remuneração do capital e a nova regulação das telecomunicações [Cost of capital and the new regulation of telecommunications services]," MPRA Paper 5400, University Library of Munich, Germany.
- Miklavž Mastinšek, 2006. "Discrete–time delta hedging and the Black–Scholes model with transaction costs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(2), pages 227-236, October.
More about this item
Keywords
Option Hedging; Discrete Time; Portfolio Approach; Preference Free Valuation; Hedging Errors; Arbitrage Pricing Theory;All these keywords.
JEL classification:
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tin:wpaper:20030090. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Tinbergen Office +31 (0)10-4088900). General contact details of provider: https://edirc.repec.org/data/tinbenl.html .
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.