# On The Consumption/Distribution Theorem Under The Long-Run Growth Criterion Subject To A Drawdown Constraint

## Author Info

• MICHAEL J. KLASS

()

(Departments of Statistics and Mathematics, 367 Evans Hall and 910 Evans Hall, UC Berkeley, Berkeley, California 94720-3860, USA)

• KRZYSZTOF NOWICKI

()

(Department of Statistics, Lund University, Box 743, S-220 07 Lund, Sweden)

Registered author(s):

## Abstract

Consider any discrete time sequence of investment fortunes Fn which has a finite long-run growth rate $V(r, \lambda_*)=\lim_{n\to\infty}\frac{\ln F_n}{n}$ when subject to the present value capital drawdown constraint Fne-rn ≥ λ* max0≤k≤nFke-rk, where 0 ≤ λ*

If 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.

File URL: http://www.worldscinet.com/cgi-bin/details.cgi?type=pdf&id=pii:S0219024910006054

File URL: http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0219024910006054

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

## Bibliographic Info

Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Journal of Theoretical and Applied Finance.

Volume (Year): 13 (2010)
Issue (Month): 06 ()
Pages: 931-957

as
in new window

 Handle: RePEc:wsi:ijtafx:v:13:y:2010:i:06:p:931-957 Contact details of provider: Web page: http://www.worldscinet.com/ijtaf/ijtaf.shtml Order Information: Email:

## References

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.:

as in new window
1. Eckhard Platen, 2005. "On The Role Of The Growth Optimal Portfolio In Finance," Australian Economic Papers, Wiley Blackwell, vol. 44(4), pages 365-388, December.
2. Alexander, Gordon J. & Baptista, Alexandre M., 2006. "Portfolio selection with a drawdown constraint," Journal of Banking & Finance, Elsevier, vol. 30(11), pages 3171-3189, November.
3. Klass, Michael J. & Nowicki, Krzysztof, 2005. "The Grossman and Zhou investment strategy is not always optimal," Statistics & Probability Letters, Elsevier, vol. 74(3), pages 245-252, October.
4. Markowitz, Harry M, 1976. "Investment for the Long Run: New Evidence for an Old Rule," Journal of Finance, American Finance Association, vol. 31(5), pages 1273-86, December.
5. Sanford J. Grossman & Zhongquan Zhou, 1993. "Optimal Investment Strategies For Controlling Drawdowns," Mathematical Finance, Wiley Blackwell, vol. 3(3), pages 241-276.
Full references (including those not matched with items on IDEAS)

## Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

## Corrections

When requesting a correction, please mention this item's handle: RePEc:wsi:ijtafx:v:13:y:2010:i:06:p:931-957. 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: (Tai Tone Lim)

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.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.