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020 _a9780691187426
_qPDF
024 7 _a10.1515/9780691187426
_2doi
035 _a(DE-B1597)9780691187426
035 _a(DE-B1597)501720
035 _a(OCoLC)1045069026
040 _aDE-B1597
_beng
_cDE-B1597
_erda
050 4 _aHG1621
072 7 _aBUS027000
_2bisacsh
082 0 4 _a332.80151
_223
084 _aonline - DeGruyter
100 1 _aCairns, Andrew J. G.
_eautore
245 1 0 _aInterest Rate Models :
_bAn Introduction /
_cAndrew J. G. Cairns.
264 1 _aPrinceton, NJ :
_bPrinceton University Press,
_c[2018]
264 4 _c©2004
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 0 _tFrontmatter --
_tContents --
_tPreface --
_tAcknowledgements --
_t1. Introduction to Bond Markets --
_t2. Arbitrage-Free Pricing --
_t3. Discrete-Time Binomial Models --
_t4. Continuous-Time Interest Rate Models --
_t5. No-Arbitrage Models --
_t6. Multifactor Models --
_t7. The Forward-Measure Approach --
_t8. Positive Interest --
_t9. Market Models --
_t10. Numerical Methods --
_t11. Credit Risk --
_t12. Model Calibration --
_tAppendix A. Summary of Key Probability and SDE Theory --
_tAppendix B. The Vasicek and CIR Models: Proofs --
_tReferences --
_tIndex
506 0 _arestricted access
_uhttp://purl.org/coar/access_right/c_16ec
_fonline access with authorization
_2star
520 _aThe field of financial mathematics has developed tremendously over the past thirty years, and the underlying models that have taken shape in interest rate markets and bond markets, being much richer in structure than equity-derivative models, are particularly fascinating and complex. This book introduces the tools required for the arbitrage-free modelling of the dynamics of these markets. Andrew Cairns addresses not only seminal works but also modern developments. Refreshingly broad in scope, covering numerical methods, credit risk, and descriptive models, and with an approachable sequence of opening chapters, Interest Rate Models will make readers--be they graduate students, academics, or practitioners--confident enough to develop their own interest rate models or to price nonstandard derivatives using existing models. The mathematical chapters begin with the simple binomial model that introduces many core ideas. But the main chapters work their way systematically through all of the main developments in continuous-time interest rate modelling. The book describes fully the broad range of approaches to interest rate modelling: short-rate models, no-arbitrage models, the Heath-Jarrow-Morton framework, multifactor models, forward measures, positive-interest models, and market models. Later chapters cover some related topics, including numerical methods, credit risk, and model calibration. Significantly, the book develops the martingale approach to bond pricing in detail, concentrating on risk-neutral pricing, before later exploring recent advances in interest rate modelling where different pricing measures are important.
538 _aMode of access: Internet via World Wide Web.
546 _aIn English.
588 0 _aDescription based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021)
650 0 _aBonds
_xMathematical models.
650 0 _aDerivative securities
_xPrices
_xMathematical models.
650 0 _aInterest rates
_xMathematical models.
650 0 _aSecurities
_xMathematical models.
650 7 _aBUSINESS & ECONOMICS / Finance / General.
_2bisacsh
850 _aIT-RoAPU
856 4 0 _uhttps://doi.org/10.1515/9780691187426?locatt=mode:legacy
856 4 0 _uhttps://www.degruyter.com/isbn/9780691187426
856 4 2 _3Cover
_uhttps://www.degruyter.com/cover/covers/9780691187426.jpg
942 _cEB
999 _c194277
_d194277