LEADER 02906nam 22004815 450 001 9910300106303321 005 20200704091634.0 010 $a3-319-74101-2 024 7 $a10.1007/978-3-319-74101-7 035 $a(CKB)3840000000347958 035 $a(MiAaPQ)EBC5302510 035 $a(DE-He213)978-3-319-74101-7 035 $a(PPN)22463917X 035 $a(EXLCZ)993840000000347958 100 $a20180216d2018 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aSaddlepoint Approximation Methods in Financial Engineering /$fby Yue Kuen Kwok, Wendong Zheng 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (134 pages) $cillustrations 225 1 $aSpringerBriefs in Quantitative Finance,$x2192-7006 311 $a3-319-74100-4 320 $aIncludes bibliographical references and index. 330 $aThis book summarizes recent advances in applying saddlepoint approximation methods to financial engineering. It addresses pricing exotic financial derivatives and calculating risk contributions to Value-at-Risk and Expected Shortfall in credit portfolios under various default correlation models. These standard problems involve the computation of tail probabilities and tail expectations of the corresponding underlying state variables.  The text offers in a single source most of the saddlepoint approximation results in financial engineering, with different sets of ready-to-use approximation formulas. Much of this material may otherwise only be found in original research publications. The exposition and style are made rigorous by providing formal proofs of most of the results. Starting with a presentation of the derivation of a variety of saddlepoint approximation formulas in different contexts, this book will help new researchers to learn the fine technicalities of the topic. It will also be valuable to quantitative analysts in financial institutions who strive for effective valuation of prices of exotic financial derivatives and risk positions of portfolios of risky instruments.  . 410 0$aSpringerBriefs in Quantitative Finance,$x2192-7006 606 $aEconomics, Mathematical 606 $aQuantitative Finance$3https://scigraph.springernature.com/ontologies/product-market-codes/M13062 615 0$aEconomics, Mathematical. 615 14$aQuantitative Finance. 676 $a332 700 $aKwok$b Yue Kuen$4aut$4http://id.loc.gov/vocabulary/relators/aut$059885 702 $aZheng$b Wendong$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300106303321 996 $aSaddlepoint Approximation Methods in Financial Engineering$92163206 997 $aUNINA