Higher moments of the claims development result in general insurance

<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.loc.gov/MARC21/slim http://www.loc.gov/standards/marcxml/schema/MARC21slim.xsd">
  <record>
    <leader>00000cab a2200000   4500</leader>
    <controlfield tag="001">MAP20120031098</controlfield>
    <controlfield tag="003">MAP</controlfield>
    <controlfield tag="005">20120711152851.0</controlfield>
    <controlfield tag="008">120704e20120507esp|||p      |0|||b|spa d</controlfield>
    <datafield tag="040" ind1=" " ind2=" ">
      <subfield code="a">MAP</subfield>
      <subfield code="b">spa</subfield>
      <subfield code="d">MAP</subfield>
    </datafield>
    <datafield tag="084" ind1=" " ind2=" ">
      <subfield code="a">6</subfield>
    </datafield>
    <datafield tag="100" ind1="1" ind2=" ">
      <subfield code="0">MAPA20120018174</subfield>
      <subfield code="a">Salzman, Robert</subfield>
    </datafield>
    <datafield tag="245" ind1="1" ind2="0">
      <subfield code="a">Higher moments of the claims development result in general insurance</subfield>
      <subfield code="c">Robert Salzman, Mario V. Wüthrich, Michael Merz</subfield>
    </datafield>
    <datafield tag="520" ind1=" " ind2=" ">
      <subfield code="a">The claims development result (CDR) is one of the major risk drivers in the profit and loss statement of a general insurance company. Therefore, the CDR has become a central object of interest under new solvency regulation. In current practice, simple methods based on the first two moments of the CDR are implemented to find a proxy for the distribution of the CDR. Such approximations based on the first two moments are rather rough and may fail to appropriately describe the shape of the distribution of the CDR. In this paper we provide an analysis of higher moments of the CDR. Within a Bayes chain ladder framework we consider two different models for which it is possible to derive analytical solutions for the higher moments of the CDR. Based on higher moments we can e.g. calculate the skewness and the excess kurtosis of the distribution of the CDR and obtain refined approximations. Moreover, a case study investigates and answers questions raised in IASB [9].
</subfield>
    </datafield>
    <datafield tag="650" ind1=" " ind2="1">
      <subfield code="0">MAPA20080602437</subfield>
      <subfield code="a">Matemática del seguro</subfield>
    </datafield>
    <datafield tag="650" ind1=" " ind2="1">
      <subfield code="0">MAPA20080586294</subfield>
      <subfield code="a">Mercado de seguros</subfield>
    </datafield>
    <datafield tag="650" ind1=" " ind2="1">
      <subfield code="0">MAPA20080591953</subfield>
      <subfield code="a">Métodos actuariales</subfield>
    </datafield>
    <datafield tag="650" ind1=" " ind2="1">
      <subfield code="0">MAPA20090041776</subfield>
      <subfield code="a">Análisis actuarial</subfield>
    </datafield>
    <datafield tag="650" ind1=" " ind2="1">
      <subfield code="0">MAPA20080554286</subfield>
      <subfield code="a">Estimación</subfield>
    </datafield>
    <datafield tag="650" ind1=" " ind2="1">
      <subfield code="0">MAPA20080564254</subfield>
      <subfield code="a">Solvencia II</subfield>
    </datafield>
    <datafield tag="700" ind1=" " ind2=" ">
      <subfield code="0">MAPA20100046395</subfield>
      <subfield code="a">Wüthrich, Mario V.</subfield>
    </datafield>
    <datafield tag="700" ind1=" " ind2=" ">
      <subfield code="0">MAPA20080653606</subfield>
      <subfield code="a">Merz, Michael</subfield>
    </datafield>
    <datafield tag="773" ind1="0" ind2=" ">
      <subfield code="w">MAP20077000420</subfield>
      <subfield code="t">Astin bulletin</subfield>
      <subfield code="d">Belgium : ASTIN and AFIR Sections of the International Actuarial Association</subfield>
      <subfield code="x">0515-0361</subfield>
      <subfield code="g">07/05/2012 Volumen 42 Número 1  - mayo 2012 , p. 355-384</subfield>
    </datafield>
  </record>
</collection>