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<title>Function OPT_PROB_HIT</title>
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<a name="optprobhith1"></a>OPT_PROB_HIT</h1>
<p id="par_id591575063908364" class="paragraph" dir="auto"><a name="variable%20name"></a><span class="avis">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</span>, as follows.</p>
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<img src="media/helpimg/sc_func_opt01.svg" class="genericimage" alt="OPT_PROB_HIT equation" style="width:197.38334px;height:51.2125px" itemprop="image" itemscope="true" itemtype="http://schema.org/ImageObject">
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<p id="par_id821575074114118" class="paragraph" dir="auto"><span class="literal">µ</span> is the asset’s percentage drift, <span class="literal">vol</span> is the percentage volatility of the stock, and <span class="literal">dW</span> is a random sample drawn from a normal distribution with a zero mean. <span class="literal">W</span> is a Wiener process or Brownian motion.</p>
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<div class="notetext"><p id="par_id371575066515276" dir="auto">For relevant background information, visit the <a target="_blank" href="https://en.wikipedia.org/wiki/Option_(finance)">Options (finance)</a> and <a target="_blank" href="https://en.wikipedia.org/wiki/Black%E2%80%93Scholes_model">Black-Scholes</a> model Wikipedia pages.</p></div>
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<h3 id="hd_id126511265112651" dir="auto">Syntax</h3>
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<p id="par_id211575074192954" class="code" dir="auto">OPT_PROB_HIT(Spot; Volatility; Drift; Maturity; LowerBarrier; UpperBarrier)</p>
<p id="par_id641575073609823" class="paragraph" dir="auto"><span class="emph">Spot</span> is the price / value of the underlying asset and should be greater than 0.0.</p>
<p id="par_id731575073617425" class="paragraph" dir="auto"><span class="emph">Volatility</span> is the annual percentage volatility of the underlying asset expressed as a decimal (for example, enter 30% as 0.3). The value should be greater than 0.0.</p>
<p id="par_id901575074339820" class="paragraph" dir="auto"><a name="optdrift"></a><span class="emph">Drift</span> 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).</p>
<p id="par_id541575073629073" class="paragraph" dir="auto"><span class="emph">Maturity</span> is the time to maturity of the option, in years, and should be non-negative.</p>
<p id="par_id681575073426941" class="paragraph" dir="auto"><a name="optstrike"></a><span class="emph">Strike</span> is the strike price of the option and should be non-negative.</p>
<p id="par_id321575073632473" class="paragraph" dir="auto"><span class="emph">LowerBarrier</span> is the predetermined lower barrier price; set to zero for no lower barrier.</p>
<p id="par_id541575073636017" class="paragraph" dir="auto"><span class="emph">UpperBarrier</span> is the predetermined upper barrier price; set to zero for no upper barrier.</p>
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<h3 id="hd_id980889808898088" dir="auto">Examples</h3>
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<p id="par_id971575074431070" class="paragraph" dir="auto"><span class="input" data-tooltip="Click on text to copy to clipboard">=OPT_PROB_HIT(30;0.2;0.3;1;0;40)</span> returns the value 0.6119.</p>
<p id="par_id171575074434932" class="paragraph" dir="auto"><span class="input" data-tooltip="Click on text to copy to clipboard">=OPT_PROB_HIT(70;0.3;0.1;0.5;60;0)</span> returns the value 0.4239.</p>
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<div class="notetext"><p id="par_id651551401041640" dir="auto">This function is available since LibreOffice 4.0.</p></div>
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<p id="par_id251640873774457" class="paragraph" dir="auto">This function is not part of the <span class="emph">Open Document Format for Office Applications (OpenDocument) Version 1.3. Part 4: Recalculated Formula (OpenFormula) Format</span> standard. The name space is</p>
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<p id="par_id341640873986703" class="paragraph" dir="auto"><span class="literal">COM.SUN.STAR.SHEET.ADDIN.PRICINGFUNCTIONS.GETOPTPROBHIT</span></p>
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<p class="related" itemprop="mentions" dir="auto"><a name="related"></a><span class="emph">Related Topics</span>
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<div class="notetext"><p id="par_id461677015195417" dir="auto"><a target="_blank" href="https://wiki.documentfoundation.org/Documentation/Calc_Functions/OPT_PROB_HIT">OPT_PROB_HIT wiki page</a>.</p></div>
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<div class="embedded"><p class="embedded" dir="auto"><a target="_top" href="en-US/text/scalc/01/func_opt_barrier.html">OPT_BARRIER</a></p></div>
<div class="embedded"><p class="embedded" dir="auto"><a target="_top" href="en-US/text/scalc/01/func_opt_touch.html">OPT_TOUCH</a></p></div>
<div class="embedded"><p class="embedded" dir="auto"><a target="_top" href="en-US/text/scalc/01/func_opt_prob_inmoney.html">OPT_PROB_INMONEY</a></p></div>
<div class="embedded"><p class="embedded" dir="auto"><a target="_top" href="en-US/text/scalc/01/func_opt_prob_hit.html">OPT_PROB_HIT</a></p></div>
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<p id="par_id121575125779535" class="paragraph" dir="auto"><a target="_top" href="en-US/text/scalc/01/04060103.html">Financial Functions Part One</a></p>
<p id="par_id251575125873714" class="paragraph" dir="auto"><a target="_top" href="en-US/text/scalc/01/04060119.html">Financial Functions Part Two</a></p>
<p id="par_id191575125878595" class="paragraph" dir="auto"><a target="_top" href="en-US/text/scalc/01/04060118.html">Financial Functions Part Three</a></p>
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