Option Pricing & Partial Hedging: Theory Of Polish Options
AbstractThe twin problems of hedging and pricing of options in discrete-time markets are analyzed. We consider trading strategies consisting of one stock and one bond. The bond price rises deterministically over time while the stock price can change in several (more than two) ways at each instant of trading. Given such stock price movements, perfect hedging is not possible, and arbitrage arguments alone are not sufficient. We deter- mine hedging and bid and ask prices by balancing expected gain against risk. Using a recent approach of Bouchaud and Sornette, we work out in detail the case where the mean rate of return of the stock differs from that of the bond. We identify a new kind of strategy open to operators that are sufficiently insensitive to risk. We find a candidate for market price of risky options, which reduces to the Black- Scholes prescription when risk can be eliminated. We report on data on stock price movements on the Warsaw Stock Exchange, and show that they are well described by a simple model where prices on each day can either increase, decrease or stay the same. We work out the details of the option pricing and hedging problems in this case.
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 InfoPaper provided by EconWPA in its series Finance with number 9601001.
Length: 30 pages
Date of creation: 13 Jan 1996
Date of revision:
Note: 30 pages, PostScript format 969 kb, uuencoded. Five figures, available separately from K. \.Zyczkowski upon request.
Contact details of provider:
Web page: http://188.8.131.52
Find related papers by JEL classification:
- G - Financial Economics
You can help add them by filling out this form.
reading list or among the top items on IDEAS.Access and download statisticsgeneral 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: (EconWPA).
If references are entirely missing, you can add them using this form.