Interest Rate Models: An Introduction
The 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 intro...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Princeton, NJ
Princeton University Press
[2018]
|
Schlagworte: | |
Online-Zugang: | DE-859 DE-860 DE-739 DE-473 DE-1046 DE-1043 DE-858 Volltext |
Zusammenfassung: | The 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 |
Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Nov 2018) |
Beschreibung: | 1 online resource |
ISBN: | 9780691187426 |
DOI: | 10.1515/9780691187426 |
Internformat
MARC
LEADER | 00000nam a2200000zc 4500 | ||
---|---|---|---|
001 | BV045878971 | ||
003 | DE-604 | ||
007 | cr|uuu---uuuuu | ||
008 | 190515s2018 xx o|||| 00||| eng d | ||
020 | |a 9780691187426 |9 978-0-691-18742-6 | ||
024 | 7 | |a 10.1515/9780691187426 |2 doi | |
035 | |a (ZDB-23-DGG)9780691187426 | ||
035 | |a (OCoLC)1165487529 | ||
035 | |a (DE-599)BVBBV045878971 | ||
040 | |a DE-604 |b ger |e rda | ||
041 | 0 | |a eng | |
049 | |a DE-859 |a DE-860 |a DE-739 |a DE-473 |a DE-1046 |a DE-1043 |a DE-858 | ||
082 | 0 | |a 332.80151 |2 23 | |
100 | 1 | |a Cairns, Andrew J. G. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Interest Rate Models |b An Introduction |c Andrew J. G. Cairns |
264 | 1 | |a Princeton, NJ |b Princeton University Press |c [2018] | |
264 | 4 | |c © 2004 | |
300 | |a 1 online resource | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
500 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Nov 2018) | ||
520 | |a The 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 | ||
546 | |a In English | ||
650 | 4 | |a Bonds |x Mathematical models | |
650 | 4 | |a Derivative securities |x Prices |x Mathematical models | |
650 | 4 | |a Interest rates |x Mathematical models | |
650 | 4 | |a Securities |x Mathematical models | |
650 | 0 | 7 | |a Stochastisches Modell |0 (DE-588)4057633-4 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Zinsstrukturtheorie |0 (DE-588)4117720-4 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Zinsstrukturtheorie |0 (DE-588)4117720-4 |D s |
689 | 0 | 1 | |a Stochastisches Modell |0 (DE-588)4057633-4 |D s |
689 | 0 | |8 1\p |5 DE-604 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9780691187426 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
912 | |a ZDB-23-DGG | ||
943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-031262148 | |
966 | e | |u https://doi.org/10.1515/9780691187426?locatt=mode:legacy |l DE-859 |p ZDB-23-DGG |q FKE_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1515/9780691187426?locatt=mode:legacy |l DE-860 |p ZDB-23-DGG |q FLA_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1515/9780691187426?locatt=mode:legacy |l DE-739 |p ZDB-23-DGG |q UPA_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1515/9780691187426?locatt=mode:legacy |l DE-473 |p ZDB-23-DGG |q UBG_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1515/9780691187426?locatt=mode:legacy |l DE-1046 |p ZDB-23-DGG |q FAW_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1515/9780691187426?locatt=mode:legacy |l DE-1043 |p ZDB-23-DGG |q FAB_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1515/9780691187426?locatt=mode:legacy |l DE-858 |p ZDB-23-DGG |q FCO_PDA_DGG |x Verlag |3 Volltext |
Datensatz im Suchindex
_version_ | 1824507436751388672 |
---|---|
adam_text | |
any_adam_object | |
author | Cairns, Andrew J. G. |
author_facet | Cairns, Andrew J. G. |
author_role | aut |
author_sort | Cairns, Andrew J. G. |
author_variant | a j g c ajg ajgc |
building | Verbundindex |
bvnumber | BV045878971 |
collection | ZDB-23-DGG |
ctrlnum | (ZDB-23-DGG)9780691187426 (OCoLC)1165487529 (DE-599)BVBBV045878971 |
dewey-full | 332.80151 |
dewey-hundreds | 300 - Social sciences |
dewey-ones | 332 - Financial economics |
dewey-raw | 332.80151 |
dewey-search | 332.80151 |
dewey-sort | 3332.80151 |
dewey-tens | 330 - Economics |
discipline | Wirtschaftswissenschaften |
doi_str_mv | 10.1515/9780691187426 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000zc 4500</leader><controlfield tag="001">BV045878971</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">190515s2018 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780691187426</subfield><subfield code="9">978-0-691-18742-6</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9780691187426</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-23-DGG)9780691187426</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1165487529</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV045878971</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-859</subfield><subfield code="a">DE-860</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-1046</subfield><subfield code="a">DE-1043</subfield><subfield code="a">DE-858</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">332.80151</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cairns, Andrew J. G.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Interest Rate Models</subfield><subfield code="b">An Introduction</subfield><subfield code="c">Andrew J. G. Cairns</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ</subfield><subfield code="b">Princeton University Press</subfield><subfield code="c">[2018]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2004</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Nov 2018)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The 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</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Bonds</subfield><subfield code="x">Mathematical models</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Derivative securities</subfield><subfield code="x">Prices</subfield><subfield code="x">Mathematical models</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Interest rates</subfield><subfield code="x">Mathematical models</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Securities</subfield><subfield code="x">Mathematical models</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stochastisches Modell</subfield><subfield code="0">(DE-588)4057633-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zinsstrukturtheorie</subfield><subfield code="0">(DE-588)4117720-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Zinsstrukturtheorie</subfield><subfield code="0">(DE-588)4117720-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Stochastisches Modell</subfield><subfield code="0">(DE-588)4057633-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9780691187426</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-031262148</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9780691187426?locatt=mode:legacy</subfield><subfield code="l">DE-859</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FKE_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9780691187426?locatt=mode:legacy</subfield><subfield code="l">DE-860</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FLA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9780691187426?locatt=mode:legacy</subfield><subfield code="l">DE-739</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">UPA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9780691187426?locatt=mode:legacy</subfield><subfield code="l">DE-473</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">UBG_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9780691187426?locatt=mode:legacy</subfield><subfield code="l">DE-1046</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FAW_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9780691187426?locatt=mode:legacy</subfield><subfield code="l">DE-1043</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FAB_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9780691187426?locatt=mode:legacy</subfield><subfield code="l">DE-858</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FCO_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
id | DE-604.BV045878971 |
illustrated | Not Illustrated |
indexdate | 2025-02-19T17:24:42Z |
institution | BVB |
isbn | 9780691187426 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031262148 |
oclc_num | 1165487529 |
open_access_boolean | |
owner | DE-859 DE-860 DE-739 DE-473 DE-BY-UBG DE-1046 DE-1043 DE-858 |
owner_facet | DE-859 DE-860 DE-739 DE-473 DE-BY-UBG DE-1046 DE-1043 DE-858 |
physical | 1 online resource |
psigel | ZDB-23-DGG ZDB-23-DGG FKE_PDA_DGG ZDB-23-DGG FLA_PDA_DGG ZDB-23-DGG UPA_PDA_DGG ZDB-23-DGG UBG_PDA_DGG ZDB-23-DGG FAW_PDA_DGG ZDB-23-DGG FAB_PDA_DGG ZDB-23-DGG FCO_PDA_DGG |
publishDate | 2018 |
publishDateSearch | 2018 |
publishDateSort | 2018 |
publisher | Princeton University Press |
record_format | marc |
spelling | Cairns, Andrew J. G. Verfasser aut Interest Rate Models An Introduction Andrew J. G. Cairns Princeton, NJ Princeton University Press [2018] © 2004 1 online resource txt rdacontent c rdamedia cr rdacarrier Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Nov 2018) The 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 In English Bonds Mathematical models Derivative securities Prices Mathematical models Interest rates Mathematical models Securities Mathematical models Stochastisches Modell (DE-588)4057633-4 gnd rswk-swf Zinsstrukturtheorie (DE-588)4117720-4 gnd rswk-swf Zinsstrukturtheorie (DE-588)4117720-4 s Stochastisches Modell (DE-588)4057633-4 s 1\p DE-604 https://doi.org/10.1515/9780691187426 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Cairns, Andrew J. G. Interest Rate Models An Introduction Bonds Mathematical models Derivative securities Prices Mathematical models Interest rates Mathematical models Securities Mathematical models Stochastisches Modell (DE-588)4057633-4 gnd Zinsstrukturtheorie (DE-588)4117720-4 gnd |
subject_GND | (DE-588)4057633-4 (DE-588)4117720-4 |
title | Interest Rate Models An Introduction |
title_auth | Interest Rate Models An Introduction |
title_exact_search | Interest Rate Models An Introduction |
title_full | Interest Rate Models An Introduction Andrew J. G. Cairns |
title_fullStr | Interest Rate Models An Introduction Andrew J. G. Cairns |
title_full_unstemmed | Interest Rate Models An Introduction Andrew J. G. Cairns |
title_short | Interest Rate Models |
title_sort | interest rate models an introduction |
title_sub | An Introduction |
topic | Bonds Mathematical models Derivative securities Prices Mathematical models Interest rates Mathematical models Securities Mathematical models Stochastisches Modell (DE-588)4057633-4 gnd Zinsstrukturtheorie (DE-588)4117720-4 gnd |
topic_facet | Bonds Mathematical models Derivative securities Prices Mathematical models Interest rates Mathematical models Securities Mathematical models Stochastisches Modell Zinsstrukturtheorie |
url | https://doi.org/10.1515/9780691187426 |
work_keys_str_mv | AT cairnsandrewjg interestratemodelsanintroduction |