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<meta>
<topic id="functoptprobhit" indexer="include" status="PUBLISH">
<title id="tit" xml-lang="en-US">Function OPT_PROB_HIT</title>
<filename>/text/scalc/01/func_opt_prob_hit.xhp</filename>
</topic>
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<body>
<section id="optprobhit">
<bookmark xml-lang="en-US" branch="index" id="bm_id961575074485125">
<bookmark_value>OPT_PROB_HIT function</bookmark_value>
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<bookmark id="bm_id391575063908362" xml-lang="en-US" branch="hid/SC_HID_FUNC_OPT_PROB_HIT" localize="false"/>
<h2 id="hd_id71575063908363"><variable id="optprobhith1"><link href="text/scalc/01/func_opt_prob_hit.xhp" name="OPT_PROB_HIT">OPT_PROB_HIT</link></variable></h2>
<paragraph id="par_id591575063908364" role="paragraph" xml-lang="en-US"><variable id="variable name"><ahelp hid=".">Returns the probability that an asset hits a predetermined barrier price, 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_HIT equation</alt></image>
</paragraph>
<paragraph role="paragraph" id="par_id821575074114118"><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>
</section>
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<paragraph role="code" id="par_id211575074192954">OPT_PROB_HIT(Spot; Volatility; Drift; Maturity; LowerBarrier; UpperBarrier)</paragraph>
<paragraph role="paragraph" id="par_id641575073609823" localize="false"><embedvar href="text/scalc/01/func_opt_touch.xhp#optspot" markup="keep"/></paragraph>
<paragraph role="paragraph" id="par_id731575073617425" localize="false"><embedvar href="text/scalc/01/func_opt_touch.xhp#optvolat" markup="keep"/></paragraph>
<paragraph role="paragraph" id="par_id901575074339820"><variable id="optdrift"><emph>Drift</emph> is the annual stock price percentage drift rate (µ in the above formula). The value is expressed as a decimal (for example, enter 15% as 0.15).</variable></paragraph>
<paragraph role="paragraph" id="par_id541575073629073" localize="false"><embedvar href="text/scalc/01/func_opt_touch.xhp#optmaturity" markup="keep"/></paragraph>
<paragraph role="paragraph" id="par_id681575073426941"><variable id="optstrike"><emph>Strike</emph> is the strike price of the option and should be non-negative.</variable></paragraph>
<paragraph role="paragraph" id="par_id321575073632473" localize="false"><embedvar href="text/scalc/01/func_opt_touch.xhp#optlowbar" markup="keep"/></paragraph>
<paragraph role="paragraph" id="par_id541575073636017" localize="false"><embedvar href="text/scalc/01/func_opt_touch.xhp#optupbar" markup="keep"/></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph role="paragraph" id="par_id971575074431070"><input>=OPT_PROB_HIT(30;0.2;0.3;1;0;40)</input> returns the value 0.6119.</paragraph>
<paragraph role="paragraph" id="par_id171575074434932"><input>=OPT_PROB_HIT(70;0.3;0.1;0.5;60;0)</input> returns the value 0.4239.</paragraph>
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<embed href="text/scalc/01/func_opt_touch.xhp#opttouchh1"/>
<embed href="text/scalc/01/func_opt_prob_inmoney.xhp#optprobinmoneyh1"/>
<embed href="text/scalc/01/func_opt_prob_hit.xhp#optprobhith1"/>
<embed href="text/scalc/01/func_opt_touch.xhp#relatedfinancial"/>
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