TY - UNPD A1 - Branger, Nicole A1 - Esser, Angelika A1 - Schlag, Christian T1 - When are static superhedging strategies optimal? T2 - Universität Frankfurt am Main. Fachbereich Wirtschaftswissenschaften: [Working paper series / Finance and accounting] Working paper series, Finance & Accounting ; No. 138 N2 - 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. T3 - Working paper series / Johann-Wolfgang-Goethe-Universität Frankfurt am Main, Fachbereich Wirtschaftswissenschaften : Finance & Accounting - 138 KW - Finanzderivat / Hedging / Strategie / Volatilität / Stochastischer Prozess / Theorie KW - Incomplete markets KW - superhedging KW - stochastic volatility KW - stochastic jumps KW - stochastic interest rates KW - Derivat, Wertpapier KW - Hedging Y1 - 2004 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/3707 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30-17676 IS - Version: January 16, 2004 PB - Univ., Fachbereich Wirtschaftswiss. CY - Frankfurt am Main ER -