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    <meta>
        <topic id="funcoptprobinmoney" indexer="include" status="PUBLISH">
            <title id="tit" xml-lang="en-US">Function OPT_PROB_INMONEY</title>
            <filename>/text/scalc/01/func_opt_prob_inmoney.xhp</filename>
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    <body>
    <section id="optprobinmoney">
        <bookmark xml-lang="en-US" branch="index" id="bm_id961575065633373">
            <bookmark_value>OPT_PROB_INMONEY function</bookmark_value>
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        <bookmark id="bm_id971575063929082" xml-lang="en-US" branch="hid/SC_HID_FUNC_OPT_PROB_INMONEY" localize="false"/>
        <h2 id="hd_id941575063929082"><variable id="optprobinmoneyh1"><link href="text/scalc/01/func_opt_prob_inmoney.xhp" name="OPT_PROB_INMONEY">OPT_PROB_INMONEY</link></variable></h2>
        <paragraph id="par_id941575063929083" role="paragraph" xml-lang="en-US"><variable id="variable name"><ahelp hid=".">Returns the probability that an asset will end up between two barrier levels at maturity, assuming that the stock price can be modeled as a process S that follows the stochastic differential equation</ahelp></variable>, as follows.</paragraph>
        <paragraph role="paragraph" id="par_id21575078735992" xml-lang="en-US">
            <image src="media/helpimg/sc_func_opt01.svg" id="img_id211575078735993" width="197.38334px" height="51.2125px"><alt xml-lang="en-US" id="alt_id401575078735994">OPT_PROB_INMONEY equation</alt></image>
        </paragraph>
        <paragraph role="paragraph" id="par_id941575074893788"><literal>µ</literal> is the asset’s percentage drift, <literal>vol</literal> is the percentage volatility of the stock, and <literal>dW</literal> is a random sample drawn from a normal distribution with a zero mean. <literal>W</literal> is a Wiener process or Brownian motion.</paragraph>
        <paragraph role="paragraph" id="par_id241575075282150">If the optional <emph>Strike</emph> and <emph>PutCall</emph> arguments are included, then</paragraph>
        <list type="unordered">
            <listitem>
                <paragraph id="par_id931575075314553"  role="listitem">For a call option, the function returns the probability that the asset will end up between <emph>Strike</emph> and <emph>UpperBarrier</emph>.</paragraph>
            </listitem>
            <listitem>
                <paragraph id="par_id531575075321659"  role="listitem">For a put option, the function returns the probability that the asset will end up between <emph>LowerBarrier</emph> and <emph>Strike</emph>.</paragraph>
            </listitem>
        </list>
        <paragraph role="paragraph" id="par_id191575075304900">The function ignores the possibility of knock-out before maturity.</paragraph>
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    <paragraph role="code" id="par_id761575075027094">OPT_PROB_INMONEY(Spot; Volatility; Drift; Maturity; LowerBarrier; UpperBarrier; Strike; PutCall)</paragraph>
    <paragraph role="paragraph" id="par_id641575073609823" localize="false"><embedvar href="text/scalc/01/func_opt_touch.xhp#optspot" markup="keep"/></paragraph>
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    <paragraph role="paragraph" id="par_id861575082252126" localize="false"><embedvar href="text/scalc/01/func_opt_barrier.xhp#optputcall" markup="keep"/></paragraph>
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    <paragraph role="paragraph" id="par_id601575074993334"><input>=OPT_PROB_INMONEY(30;0.2;0.1;1;0;50)</input> returns the value 0.9844.</paragraph>
    <paragraph role="paragraph" id="par_id261575074997216"><input>=OPT_PROB_INMONEY(70;0.3;0.15;1;60;0;80;"p")</input> returns the value 0.3440.</paragraph>
    <section id="relatedtopics">
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        <embed href="text/scalc/01/func_opt_touch.xhp#opttouchh1"/>
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        <embed href="text/scalc/01/func_opt_prob_hit.xhp#optprobhith1"/>
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