LEADER 03786nam 2200745Ia 450 001 9910778598703321 005 20230721022515.0 010 $a1-282-29646-9 010 $a9786612296468 010 $a3-11-916585-9 010 $a3-11-020851-2 024 7 $a10.1515/9783110208511 035 $a(CKB)1000000000789574 035 $a(EBL)453919 035 $a(OCoLC)456907359 035 $a(SSID)ssj0000342500 035 $a(PQKBManifestationID)11252498 035 $a(PQKBTitleCode)TC0000342500 035 $a(PQKBWorkID)10284950 035 $a(PQKB)11304233 035 $a(MiAaPQ)EBC453919 035 $a(DE-B1597)34910 035 $a(OCoLC)719448717 035 $a(DE-B1597)9783110208511 035 $a(Au-PeEL)EBL453919 035 $a(CaPaEBR)ebr10329812 035 $a(CaONFJC)MIL229646 035 $a(EXLCZ)991000000000789574 100 $a20090312d2009 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRobust static super-replication of barrier options$b[electronic resource] /$fJan H. Maruhn 210 $aBerlin ;$aNew York $cWalter de Gruyter$dc2009 215 $a1 online resource (209 p.) 225 1 $aRadon series on computational and applied mathematics,$x1865-3707 ;$v7 300 $a"RICAM, Johann Radon Institute for Computational and Applied Mathematics". 311 $a3-11-020468-1 320 $aIncludes bibliographical references (p. [187]-191) and index. 327 $t Frontmatter -- $tContents -- $t1. Theoretical Background -- $t2. Static Hedging of Barrier Options -- $t3. An Optimization Approach to Static Super-Replication -- $t4. Reformulation as a Semi-Infinite Problem -- $t5. Eliminating Model Parameter Uncertainty -- $t6. Modifications and Extensions -- $t7. Avoiding Model Errors -- $t8. Empirical Hedge Performance -- $t9. Summary and Outlook -- $tA. General Existence Theorem -- $tB. Source Code -- $t Backmatter 330 $aStatic hedge portfolios for barrier options are very sensitive with respect to changes of the volatility surface. To prevent potentially significant hedging losses this book develops a static super-replication strategy with market-typical robustness against volatility, skew and liquidity risk as well as model errors. Empirical results and various numerical examples confirm that the static superhedge successfully eliminates the risk of a changing volatility surface. Combined with associated sub-replication strategies this leads to robust price bounds for barrier options which are also relevant in the context of dynamic hedging. The mathematical techniques used to prove appropriate existence, duality and convergence results range from financial mathematics, stochastic and semi-infinite optimization, convex analysis and partial differential equations to semidefinite programming. 410 0$aRadon series on computational and applied mathematics ;$v7. 606 $aOptions (Finance)$xMathematical models 606 $aHedging (Finance)$xMathematical models 610 $aBarrier Options. 610 $aRobust Optimization. 610 $aSemi-infinite Optimization. 610 $aSemidefinite Programming. 610 $aStatic Hedging. 610 $aStochastic Volatility. 615 0$aOptions (Finance)$xMathematical models. 615 0$aHedging (Finance)$xMathematical models. 676 $a332.6322830151962 686 $aSK 870$2rvk 700 $aMaruhn$b Jan H$01534788 712 02$aRadon Institute for Computational and Applied Mathematics. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910778598703321 996 $aRobust static super-replication of barrier options$93782597 997 $aUNINA