<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.4 20241031//EN"
        "https://jats.nlm.nih.gov/publishing/1.4/JATS-journalpublishing1-4.dtd">
<article  article-type="research-article"        dtd-version="1.4">
            <front>

                <journal-meta>
                                    <journal-id></journal-id>
            <journal-title-group>
                                                                                    <journal-title>Hacettepe Journal of Mathematics and Statistics</journal-title>
            </journal-title-group>
                            <issn pub-type="ppub">2651-477X</issn>
                                        <issn pub-type="epub">2651-477X</issn>
                                                                                            <publisher>
                    <publisher-name>Hacettepe University</publisher-name>
                </publisher>
                    </journal-meta>
                <article-meta>
                                        <article-id/>
                                                                <article-categories>
                                            <subj-group  xml:lang="en">
                                                            <subject>Statistics</subject>
                                                    </subj-group>
                                            <subj-group  xml:lang="tr">
                                                            <subject>İstatistik</subject>
                                                    </subj-group>
                                    </article-categories>
                                                                                                                                                        <title-group>
                                                                                                                        <article-title>Probability for transition of business cycle and pricing of options with correlated credit risk</article-title>
                                                                                                                                        </title-group>
            
                                                    <contrib-group content-type="authors">
                                                                        <contrib contrib-type="author">
                                                                <name>
                                    <surname>Kim</surname>
                                    <given-names>Geonwoo</given-names>
                                </name>
                                                            </contrib>
                                                                                </contrib-group>
                        
                                        <pub-date pub-type="pub" iso-8601-date="20160201">
                    <day>02</day>
                    <month>01</month>
                    <year>2016</year>
                </pub-date>
                                        <volume>45</volume>
                                        <issue>1</issue>
                                        <fpage>195</fpage>
                                        <lpage>206</lpage>
                        
                        <history>
                                    <date date-type="received" iso-8601-date="20141202">
                        <day>12</day>
                        <month>02</month>
                        <year>2014</year>
                    </date>
                                                    <date date-type="accepted" iso-8601-date="20150129">
                        <day>01</day>
                        <month>29</month>
                        <year>2015</year>
                    </date>
                            </history>
                                        <permissions>
                    <copyright-statement>Copyright © 2002, Hacettepe Journal of Mathematics and Statistics</copyright-statement>
                    <copyright-year>2002</copyright-year>
                    <copyright-holder>Hacettepe Journal of Mathematics and Statistics</copyright-holder>
                </permissions>
            
                                                                                                <abstract><p>In this paper we propose the transition probability of business cyclefor the pricing of options with credit risk. In order to describe business cycles of markets, the regime switching model is considered. Weprovide the probability density functions of the occupation time of thehigh volatility regime via Laplace transforms. Using these functions wederive the analytic valuation formulae for options with correlated creditrisk and business cycle. We also illustrate the important properties ofoptions with numerical graphs.&amp;nbsp;</p></abstract>
                                                                                    
            
                                                            <kwd-group>
                                                    <kwd>Business cycle</kwd>
                                                    <kwd>  Option pricing</kwd>
                                                    <kwd>  Credit risk</kwd>
                                                    <kwd>  Occupation time</kwd>
                                            </kwd-group>
                                                        
                                                                                                                                                    </article-meta>
    </front>
    <back>
                            <ref-list>
                                    <ref id="ref1">
                        <label>1</label>
                        <mixed-citation publication-type="journal">...</mixed-citation>
                    </ref>
                            </ref-list>
                    </back>
    </article>
