Hedged Monte-Carlo: low variance derivative pricing with objective probabilities
We propose a new `hedged' Monte-Carlo (HMC) method to price financial derivatives, which allows to determine simultaneously the optimal hedge. The inclusion of the optimal hedging strategy allows one to reduce the financial risk associated with option trading, and for the very same reason reduces considerably the variance of our HMC scheme as compared to previous methods. The explicit accounting of the hedging cost naturally converts the objective probability into the `risk-neutral' one. This allows a consistent use of purely historical time series to price derivatives and obtain their residual risk. The method can be used to price a large class of exotic options, including those with path dependent and early exercise features.
To our knowledge, this item is not available for
download. To find whether it is available, there are three
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a search for a similarly titled item that would be available.
|Date of creation:||Aug 2000|
|Date of revision:|
|Publication status:||Published in Physica A 289 (3-4) (2001) pp. 517-525.|
|Contact details of provider:|| Postal: 6 boulevard Haussmann, 75009 Paris, FRANCE|
Web page: http://www.science-finance.fr/
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Farhat Selmi & Jean-Philippe Bouchaud, 2000. "Hedging large risks reduces the transaction costs," Science & Finance (CFM) working paper archive 500033, Science & Finance, Capital Fund Management.
- Andrew Matacz & Jean-Philippe Bouchaud, 1999. "An empirical investigation of the forward interest rate term structure," Science & Finance (CFM) working paper archive 500047, Science & Finance, Capital Fund Management.
When requesting a correction, please mention this item's handle: RePEc:sfi:sfiwpa:500031. 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: ()
If references are entirely missing, you can add them using this form.