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<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.7//EN" "https://dtd.nlm.nih.gov/ncbi/pubmed/in/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
<PublisherName>OICC Press</PublisherName>
<JournalTitle>International Journal of Mathematical Modelling &amp; Computations</JournalTitle>
<Issn>2228-6233</Issn>
<Volume>12</Volume>
<Issue>4</Issue>
<PubDate PubStatus="epublish">
<Year>2022</Year>
<Month>12</Month>
<Day>01</Day>
</PubDate>
</Journal>
<ArticleTitle>‎U‎sing Fuzzy Interest ‎Rates for Uncertainty‎ Modelling in Enhanced Annuities Pricing</ArticleTitle>
<VernacularTitle></VernacularTitle>
<FirstPage>265</FirstPage>
<LastPage>274</LastPage>
<ELocationID EIdType="doi">10.30495/ijm2c.2023.1968679.1262</ELocationID>
<Language>EN</Language>
<AuthorList>
<Author>
<FirstName>Mahboubeh</FirstName>
<LastName>Aalaei</LastName>
<Affiliation>Personal Insurance Research Group, Insurance Research Center, Tehran, Iran</Affiliation>
<Identifier Source="ORCID"></Identifier>
</Author>
</AuthorList>
<PublicationType>Journal Article</PublicationType>
<History>
<PubDate PubStatus="received">
<Year>2022</Year>
<Month>12</Month>
<Day>01</Day>
</PubDate>
</History>
<Abstract>The modeling of uncertainty resources&amp;lrm;&amp;lrm; is very &amp;lrm;important in &amp;lrm;insurance pricing&amp;lrm;&amp;lrm;. &amp;lrm;In this paper&amp;lrm;, &amp;lrm;fuzzy set theory is implemented to model &amp;lrm;interest &amp;lrm;rates &amp;lrm;as &amp;lrm;an &amp;lrm;uncertainty &amp;lrm;resources&amp;lrm; for calculating the price of &amp;lrm;enhanced &amp;lrm;annuities. In this regard, &amp;lrm;t&amp;lrm;he &amp;lrm;single &amp;lrm;fuzzy&amp;lrm; &amp;lrm;premium &amp;lrm;for a&amp;lrm; &amp;lrm;fixed &amp;lrm;annuity &amp;lrm;payouts &amp;lrm;is &amp;lrm;calculated &amp;lrm;using&amp;lrm;&amp;lrm;&amp;lrm; &amp;lrm;adjusted &amp;lrm;mortality &amp;lrm;probabilities &amp;lrm;for &amp;lrm;an &amp;lrm;insured &amp;lrm;with &amp;lrm;health &amp;lrm;problems &amp;lrm;and &amp;lrm;the &amp;lrm;results &amp;lrm;are&amp;lrm; &amp;lrm;compared &amp;lrm;with &amp;lrm;standard &amp;lrm;status. &amp;lrm;As the &amp;lrm;adjustment &amp;lrm;multiplier&amp;lrm;&amp;lrm;&amp;lrm; increases, which means that the health problems of the insured are worse, the life expectancy of the person decreases. In addition, as adjustment &amp;lrm;multiplier&amp;lrm;&amp;lrm;&amp;lrm; increases, the insurance premium decreases, which is due to the adjustment of survival and mortality probabilities based on the individual's health status&amp;lrm;. Also, to show the validity of the &amp;lrm;proposed&amp;lrm; fuzzy method, the random interest rate has been used. The results of the &amp;lrm;fuzzy &amp;lrm;and &amp;lrm;random&amp;lrm; models are close to each other &amp;lrm;which indicates the validation of proposed method&amp;lrm;.</Abstract>
</Article>
</ArticleSet>