Quadratic-Variation-Based Dynamic Strategies
AbstractThe paper analyzes a family of dynamic trading strategies which do not rely on any stochastic process assumptions (aside from continuity and positivity) and in particular do not require predicting future volatilities. Derivative payoffs can still be replicated, except that this occurs at the stopping time at which the "realized cumulative squared volatility" hits a predetermined level. The application of these results to portfolio insurance is emphasized, and hedging strategies studied by Black and Jones and by Brennan and Schwartz are generalized. Classical results on European-style options arise as special cases. For example, the initial cost of replicating a call or a put under the new method is given by a generalized Black-Scholes formula, which yields the ordinary Black-Scholes formula when the volatility is derterministic.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoArticle provided by INFORMS in its journal Management Science.
Volume (Year): 41 (1995)
Issue (Month): 4 (April)
trading strategies; Black-Scholes formula; portfolio insurance; quadratic variation; ito's Lemma;
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Li, Minqiang, 2014. "Derivatives Pricing on Integrated Diffusion Processes: A General Perturbation Approach," MPRA Paper 54595, University Library of Munich, Germany.
- Lan Zhang, 2012. "Implied and realized volatility: empirical model selection," Annals of Finance, Springer, vol. 8(2), pages 259-275, May.
- Li, Minqiang & Mercurio, Fabio, 2013. "Closed-Form Approximation of Timer Option Prices under General Stochastic Volatility Models," MPRA Paper 47465, University Library of Munich, Germany.
- Li, Minqiang, 2014. "Analytic Approximation of Finite-Maturity Timer Option Prices," MPRA Paper 54597, University Library of Munich, Germany.
- Geman, Hélyette, 2005. "From measure changes to time changes in asset pricing," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2701-2722, November.
- Bertsimas, Dimitris. & Kogan, Leonid, 1974- & Lo, Andrew W., 1997. "Pricing and hedging derivative securities in incomplete markets : an e-arbitrage approach," Working papers WP 3973-97., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Dimitris Bertsimas & Leonid Kogan & Andrew W. Lo, 1997. "Pricing and Hedging Derivative Securities in Incomplete Markets: An E-Aritrage Model," NBER Working Papers 6250, National Bureau of Economic Research, Inc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mirko Janc).
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 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.