When Are Static Superhedging Strategies Optimal?
This paper deals with the superhedging of derivatives and with the corresponding price bounds. A static superhedge results in trivial and fully nonparametric price bounds, which can be tightened if there exists a cheaper superhedge in the class of dynamic trading strategies. We focus on European path-independent claims and show under which conditions such an improvement is possible. For a stochastic volatility model with unbounded volatility, we show that a static superhedge is always optimal, and that, additionally, there may be infinitely many dynamic superhedges with the same initial capital. The trivial price bounds are thus the tightest ones. In a model with stochastic jumps or non-negative stochastic interest rates either a static or a dynamic superhedge is optimal. Finally, in a model with unbounded short rates, only a static superhedge is possible.
|Date of creation:||Oct 2004|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.finance.uni-frankfurt.de
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:fra:franaf:138. 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: (Reinhard H. Schmidt)
If references are entirely missing, you can add them using this form.