Duration measures for specific term structure estimations and applications to bond portfolio immunization
This paper explores duration measures which are induced by a polynomial approximation to the stochastic process that governs the term structure. The paper reaches two main conclusions: (1) Complete immunization is possible only by holding a zero coupon bond if the polynomial is of a degree which is...
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Veröffentlicht in: | Journal of banking & finance 1988-09, Vol.12 (3), p.493-504 |
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creator | Prisman, Eliezer Z. Shores, Marilyn R. |
description | This paper explores duration measures which are induced by a polynomial approximation to the stochastic process that governs the term structure. The paper reaches two main conclusions: (1) Complete immunization is possible only by holding a zero coupon bond if the polynomial is of a degree which is not less than two. Hence, for such polynomials, measures of immunization risk should be used to construct portfolios so as to minimize these risks. (2) The paper derives risk measures based on the polynomial stochastic process. It explores their connection to the Fong– Vasicek risk measure. This measure is a particular case of the risk measures developed here and is shown not to measure risk effectively for some stochastic processes. |
doi_str_mv | 10.1016/0378-4266(88)90011-8 |
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The paper reaches two main conclusions: (1) Complete immunization is possible only by holding a zero coupon bond if the polynomial is of a degree which is not less than two. Hence, for such polynomials, measures of immunization risk should be used to construct portfolios so as to minimize these risks. (2) The paper derives risk measures based on the polynomial stochastic process. It explores their connection to the Fong– Vasicek risk measure. This measure is a particular case of the risk measures developed here and is shown not to measure risk effectively for some stochastic processes.</description><subject>Bond portfolios</subject><subject>Bonds</subject><subject>Immunization</subject><subject>Interest rates</subject><subject>Mathematical models</subject><subject>Portfolio performance</subject><subject>Risk</subject><subject>Stochastic models</subject><issn>0378-4266</issn><issn>1872-6372</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1988</creationdate><recordtype>article</recordtype><sourceid>X2L</sourceid><sourceid>K30</sourceid><recordid>eNp9UE2PFCEUJEYTx9V_4IHoRQ-tfDUNFxOz6q5mEy96Jm_oR2Qy3bRAb7L-eumZzd6UpIC8V68oipCXnL3jjOv3TA6mU0LrN8a8tYxx3plHZMfNIDotB_GY7B4oT8mzUg6sLcPljsRPa4Ya00wnhLJmLDSkTMuCPoboacU80VLz6mtrUiw1Tid-oTCPFJblGP19oSa6T624pFxDOsZE4zStc_xz6j8nTwIcC764Py_Izy-ff1xedzffr75efrzpvOqH2o3SMGXBBDuYkQflre09BA39KIzeg-9B93bgoGCPCiyAADX2VnAuw8CMvCCvzrpLTr_XZtgd0prn9qTjVhnbq0E30ut_koQVghuuWWOpM8vnVErG4Jbcvp_vHGduS95tsbotVmeMOyXvNgffzmMZW4wPM4h42Ic4g7t1Erho2912sW1UQmyQDUuDstL1TLlfdWpiH85i2DK7jZhd8RFnj2PM6KsbU_y_m7-9raUe</recordid><startdate>19880901</startdate><enddate>19880901</enddate><creator>Prisman, Eliezer Z.</creator><creator>Shores, Marilyn R.</creator><general>Elsevier B.V</general><general>Elsevier</general><general>North-Holland Pub. 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Shores, Marilyn R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c457t-d38049a8f978d1f4c995caf6a5d286bac5a65971a4abe4a9aa2a4d592113f7083</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1988</creationdate><topic>Bond portfolios</topic><topic>Bonds</topic><topic>Immunization</topic><topic>Interest rates</topic><topic>Mathematical models</topic><topic>Portfolio performance</topic><topic>Risk</topic><topic>Stochastic models</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Prisman, Eliezer Z.</creatorcontrib><creatorcontrib>Shores, Marilyn R.</creatorcontrib><collection>RePEc IDEAS</collection><collection>RePEc</collection><collection>CrossRef</collection><collection>Periodicals Index Online Segment 33</collection><collection>Periodicals Index Online</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - West</collection><collection>Primary Sources Access (Plan D) - International</collection><collection>Primary Sources Access & Build (Plan A) - MEA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Midwest</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Northeast</collection><collection>Primary Sources Access (Plan D) - Southeast</collection><collection>Primary Sources Access (Plan D) - North Central</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Southeast</collection><collection>Primary Sources Access (Plan D) - South Central</collection><collection>Primary Sources Access & Build (Plan A) - UK / I</collection><collection>Primary Sources Access (Plan D) - Canada</collection><collection>Primary Sources Access (Plan D) - EMEALA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - North Central</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - South Central</collection><collection>Primary Sources Access & Build (Plan A) - International</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - International</collection><collection>Primary Sources Access (Plan D) - West</collection><collection>Periodicals Index Online Segments 1-50</collection><collection>Primary Sources Access (Plan D) - APAC</collection><collection>Primary Sources Access (Plan D) - Midwest</collection><collection>Primary Sources Access (Plan D) - MEA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Canada</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - UK / I</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - EMEALA</collection><collection>Primary Sources Access & Build (Plan A) - APAC</collection><collection>Primary Sources Access & Build (Plan A) - Canada</collection><collection>Primary Sources Access & Build (Plan A) - West</collection><collection>Primary Sources Access & Build (Plan A) - EMEALA</collection><collection>Primary Sources Access (Plan D) - Northeast</collection><collection>Primary Sources Access & Build (Plan A) - Midwest</collection><collection>Primary Sources Access & Build (Plan A) - North Central</collection><collection>Primary Sources Access & Build (Plan A) - Northeast</collection><collection>Primary Sources Access & Build (Plan A) - South Central</collection><collection>Primary Sources Access & Build (Plan A) - Southeast</collection><collection>Primary Sources Access (Plan D) - UK / I</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - APAC</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - MEA</collection><collection>International Bibliography of the Social Sciences (IBSS)</collection><collection>International Bibliography of the Social Sciences</collection><collection>International Bibliography of the Social Sciences</collection><jtitle>Journal of banking & finance</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Prisman, Eliezer Z.</au><au>Shores, Marilyn R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Duration measures for specific term structure estimations and applications to bond portfolio immunization</atitle><jtitle>Journal of banking & finance</jtitle><date>1988-09-01</date><risdate>1988</risdate><volume>12</volume><issue>3</issue><spage>493</spage><epage>504</epage><pages>493-504</pages><issn>0378-4266</issn><eissn>1872-6372</eissn><coden>JBFIDO</coden><abstract>This paper explores duration measures which are induced by a polynomial approximation to the stochastic process that governs the term structure. The paper reaches two main conclusions: (1) Complete immunization is possible only by holding a zero coupon bond if the polynomial is of a degree which is not less than two. Hence, for such polynomials, measures of immunization risk should be used to construct portfolios so as to minimize these risks. (2) The paper derives risk measures based on the polynomial stochastic process. It explores their connection to the Fong– Vasicek risk measure. This measure is a particular case of the risk measures developed here and is shown not to measure risk effectively for some stochastic processes.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/0378-4266(88)90011-8</doi><tpages>12</tpages></addata></record> |
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source | RePEc; Periodicals Index Online; ScienceDirect Journals (5 years ago - present) |
subjects | Bond portfolios Bonds Immunization Interest rates Mathematical models Portfolio performance Risk Stochastic models |
title | Duration measures for specific term structure estimations and applications to bond portfolio immunization |
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