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<!-- doxytag: class="QuantLib::GeneralizedBlackScholesProcess" --><!-- doxytag: inherits="QuantLib::StochasticProcess1D" -->
<p>Generalized Black-Scholes stochastic process.  
 <a href="class_quant_lib_1_1_generalized_black_scholes_process.html#details">More...</a></p>

<p><code>#include &lt;ql/processes/blackscholesprocess.hpp&gt;</code></p>
<div class="dynheader">
Inheritance diagram for GeneralizedBlackScholesProcess:</div>
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<area shape="rect" id="node5" href="class_quant_lib_1_1_black_process.html" title="Black (1976) stochastic process." alt="" coords="541,5,643,35"/><area shape="rect" id="node7" href="class_quant_lib_1_1_black_scholes_merton_process.html" title="Merton (1973) extension to the Black&#45;Scholes stochastic process." alt="" coords="497,58,687,89"/><area shape="rect" id="node9" href="class_quant_lib_1_1_black_scholes_process.html" title="Black&#45;Scholes (1973) stochastic process." alt="" coords="517,111,667,142"/><area shape="rect" id="node11" href="class_quant_lib_1_1_extended_black_scholes_merton_process.html" title="experimental Black&#45;Scholes&#45;Merton stochastic process" alt="" coords="469,165,715,195"/><area shape="rect" id="node13" href="class_quant_lib_1_1_garman_kohlagen_process.html" title="Garman&#45;Kohlhagen (1983) stochastic process." alt="" coords="508,218,676,249"/><area shape="rect" id="node15" href="class_quant_lib_1_1_vega_stressed_black_scholes_process.html" title="Black&#45;Scholes process which supports local vega stress tests." alt="" coords="477,271,707,302"/><area shape="rect" id="node2" href="class_quant_lib_1_1_stochastic_process1_d.html" title="1&#45;dimensional stochastic process" alt="" coords="7,138,153,169"/></map>
<center><span class="legend">[<a href="graph_legend.html">legend</a>]</span></center></div>

<p><a href="class_quant_lib_1_1_generalized_black_scholes_process-members.html">List of all members.</a></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a3df0b86a1ef1cf90ccd7403887d2453a"></a><!-- doxytag: member="QuantLib::GeneralizedBlackScholesProcess::GeneralizedBlackScholesProcess" ref="a3df0b86a1ef1cf90ccd7403887d2453a" args="(const Handle&lt; Quote &gt; &amp;x0, const Handle&lt; YieldTermStructure &gt; &amp;dividendTS, const Handle&lt; YieldTermStructure &gt; &amp;riskFreeTS, const Handle&lt; BlackVolTermStructure &gt; &amp;blackVolTS, const boost::shared_ptr&lt; discretization &gt; &amp;d=boost::shared_ptr&lt; discretization &gt;(new EulerDiscretization))" -->
&#160;</td><td class="memItemRight" valign="bottom"><b>GeneralizedBlackScholesProcess</b> (const <a class="el" href="class_quant_lib_1_1_handle.html">Handle</a>&lt; <a class="el" href="class_quant_lib_1_1_quote.html">Quote</a> &gt; &amp;<a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#a89d2f497b5fd0d0a0dce2ec82c86e778">x0</a>, const <a class="el" href="class_quant_lib_1_1_handle.html">Handle</a>&lt; <a class="el" href="class_quant_lib_1_1_yield_term_structure.html">YieldTermStructure</a> &gt; &amp;dividendTS, const <a class="el" href="class_quant_lib_1_1_handle.html">Handle</a>&lt; <a class="el" href="class_quant_lib_1_1_yield_term_structure.html">YieldTermStructure</a> &gt; &amp;riskFreeTS, const <a class="el" href="class_quant_lib_1_1_handle.html">Handle</a>&lt; <a class="el" href="class_quant_lib_1_1_black_vol_term_structure.html">BlackVolTermStructure</a> &gt; &amp;blackVolTS, const boost::shared_ptr&lt; <a class="el" href="class_quant_lib_1_1_stochastic_process_1_1discretization.html">discretization</a> &gt; &amp;d=boost::shared_ptr&lt; <a class="el" href="class_quant_lib_1_1_stochastic_process_1_1discretization.html">discretization</a> &gt;(new <a class="el" href="class_quant_lib_1_1_euler_discretization.html">EulerDiscretization</a>))</td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__types.html#ga14fb8fca43a68f4168654e1f9f7e22f7">Time</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#af8a1d4ca4369b3009d08291f1c2d7744">time</a> (const <a class="el" href="class_quant_lib_1_1_date.html">Date</a> &amp;) const </td></tr>
<tr><td colspan="2"><div class="groupHeader">StochasticProcess1D interface</div></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a89d2f497b5fd0d0a0dce2ec82c86e778"></a><!-- doxytag: member="QuantLib::GeneralizedBlackScholesProcess::x0" ref="a89d2f497b5fd0d0a0dce2ec82c86e778" args="() const " -->
<a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#a89d2f497b5fd0d0a0dce2ec82c86e778">x0</a> () const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">returns the initial value of the state variable <br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#a545d33724b1d6d312eb8a17f73571842">drift</a> (<a class="el" href="group__types.html#ga14fb8fca43a68f4168654e1f9f7e22f7">Time</a> t, <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> x) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#ab4d7fe4af7a6dd0ae710c073569821e4">diffusion</a> (<a class="el" href="group__types.html#ga14fb8fca43a68f4168654e1f9f7e22f7">Time</a> t, <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> x) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#aee1aadb67f9085eb8a9fc89604bd8ead">apply</a> (<a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> <a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#a89d2f497b5fd0d0a0dce2ec82c86e778">x0</a>, <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> dx) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#a81842299056bb82662dce099fca6bcba">expectation</a> (<a class="el" href="group__types.html#ga14fb8fca43a68f4168654e1f9f7e22f7">Time</a> t0, <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> <a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#a89d2f497b5fd0d0a0dce2ec82c86e778">x0</a>, <a class="el" href="group__types.html#ga14fb8fca43a68f4168654e1f9f7e22f7">Time</a> dt) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#a28916b3498be74dceb699ad1499a46c0">evolve</a> (<a class="el" href="group__types.html#ga14fb8fca43a68f4168654e1f9f7e22f7">Time</a> t0, <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> <a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#a89d2f497b5fd0d0a0dce2ec82c86e778">x0</a>, <a class="el" href="group__types.html#ga14fb8fca43a68f4168654e1f9f7e22f7">Time</a> dt, <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> dw) const </td></tr>
<tr><td colspan="2"><div class="groupHeader">Observer interface</div></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#ac5c54df7ed3b930268c8d7752c101725">update</a> ()</td></tr>
<tr><td colspan="2"><div class="groupHeader">Inspectors</div></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a3fdbbd388a2432e1d8d9e94136acfdb8"></a><!-- doxytag: member="QuantLib::GeneralizedBlackScholesProcess::stateVariable" ref="a3fdbbd388a2432e1d8d9e94136acfdb8" args="() const " -->
const <a class="el" href="class_quant_lib_1_1_handle.html">Handle</a>&lt; <a class="el" href="class_quant_lib_1_1_quote.html">Quote</a> &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>stateVariable</b> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ad410a408dd37b79578b370b5219dbf80"></a><!-- doxytag: member="QuantLib::GeneralizedBlackScholesProcess::dividendYield" ref="ad410a408dd37b79578b370b5219dbf80" args="() const " -->
const <a class="el" href="class_quant_lib_1_1_handle.html">Handle</a><br class="typebreak"/>
&lt; <a class="el" href="class_quant_lib_1_1_yield_term_structure.html">YieldTermStructure</a> &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>dividendYield</b> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a925fdf9de4dd73519b36f975bc7917a8"></a><!-- doxytag: member="QuantLib::GeneralizedBlackScholesProcess::riskFreeRate" ref="a925fdf9de4dd73519b36f975bc7917a8" args="() const " -->
const <a class="el" href="class_quant_lib_1_1_handle.html">Handle</a><br class="typebreak"/>
&lt; <a class="el" href="class_quant_lib_1_1_yield_term_structure.html">YieldTermStructure</a> &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>riskFreeRate</b> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a966c6dd76f94ceda5c3a344a8f3e3a8b"></a><!-- doxytag: member="QuantLib::GeneralizedBlackScholesProcess::blackVolatility" ref="a966c6dd76f94ceda5c3a344a8f3e3a8b" args="() const " -->
const <a class="el" href="class_quant_lib_1_1_handle.html">Handle</a><br class="typebreak"/>
&lt; <a class="el" href="class_quant_lib_1_1_black_vol_term_structure.html">BlackVolTermStructure</a> &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>blackVolatility</b> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="af113ff5ac835cfc641b3ccf701c030b5"></a><!-- doxytag: member="QuantLib::GeneralizedBlackScholesProcess::localVolatility" ref="af113ff5ac835cfc641b3ccf701c030b5" args="() const " -->
const <a class="el" href="class_quant_lib_1_1_handle.html">Handle</a><br class="typebreak"/>
&lt; <a class="el" href="class_quant_lib_1_1_local_vol_term_structure.html">LocalVolTermStructure</a> &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>localVolatility</b> () const </td></tr>
</table>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><p>Generalized Black-Scholes stochastic process. </p>
<p>This class describes the stochastic process governed by </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ dS(t, S) = (r(t) - q(t) - \frac{\sigma(t, S)^2}{2}) dt + \sigma dW_t. \]" src="form_328.png"/>
</p>
 </div><hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="a545d33724b1d6d312eb8a17f73571842"></a><!-- doxytag: member="QuantLib::GeneralizedBlackScholesProcess::drift" ref="a545d33724b1d6d312eb8a17f73571842" args="(Time t, Real x) const " -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> <a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#a545d33724b1d6d312eb8a17f73571842">drift</a> </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="group__types.html#ga14fb8fca43a68f4168654e1f9f7e22f7">Time</a>&#160;</td>
          <td class="paramname"><em>t</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td> const<code> [virtual]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">
<dl class="todo"><dt><b><a class="el" href="todo.html#_todo000059">Possible enhancements:</a></b></dt><dd>revise extrapolation </dd></dl>

<p>Implements <a class="el" href="class_quant_lib_1_1_stochastic_process1_d.html#a6bded8896a46fad4d189950552432cd3">StochasticProcess1D</a>.</p>

<p>Reimplemented in <a class="el" href="class_quant_lib_1_1_extended_black_scholes_merton_process.html#a545d33724b1d6d312eb8a17f73571842">ExtendedBlackScholesMertonProcess</a>.</p>

</div>
</div>
<a class="anchor" id="ab4d7fe4af7a6dd0ae710c073569821e4"></a><!-- doxytag: member="QuantLib::GeneralizedBlackScholesProcess::diffusion" ref="ab4d7fe4af7a6dd0ae710c073569821e4" args="(Time t, Real x) const " -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> <a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#ab4d7fe4af7a6dd0ae710c073569821e4">diffusion</a> </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="group__types.html#ga14fb8fca43a68f4168654e1f9f7e22f7">Time</a>&#160;</td>
          <td class="paramname"><em>t</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
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        <tr>
          <td></td>
          <td>)</td>
          <td></td><td> const<code> [virtual]</code></td>
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<dl class="todo"><dt><b><a class="el" href="todo.html#_todo000060">Possible enhancements:</a></b></dt><dd>revise extrapolation </dd></dl>

<p>Implements <a class="el" href="class_quant_lib_1_1_stochastic_process1_d.html#afaf479da3baa52185b369071b1689d89">StochasticProcess1D</a>.</p>

<p>Reimplemented in <a class="el" href="class_quant_lib_1_1_extended_black_scholes_merton_process.html#ab4d7fe4af7a6dd0ae710c073569821e4">ExtendedBlackScholesMertonProcess</a>, and <a class="el" href="class_quant_lib_1_1_vega_stressed_black_scholes_process.html#ab4d7fe4af7a6dd0ae710c073569821e4">VegaStressedBlackScholesProcess</a>.</p>

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<a class="anchor" id="aee1aadb67f9085eb8a9fc89604bd8ead"></a><!-- doxytag: member="QuantLib::GeneralizedBlackScholesProcess::apply" ref="aee1aadb67f9085eb8a9fc89604bd8ead" args="(Real x0, Real dx) const " -->
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          <td class="memname"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> <a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#aee1aadb67f9085eb8a9fc89604bd8ead">apply</a> </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td>
          <td class="paramname"><em>x0</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td>
          <td class="paramname"><em>dx</em>&#160;</td>
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          <td></td>
          <td>)</td>
          <td></td><td> const<code> [virtual]</code></td>
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<p>applies a change to the asset value. By default, it returns <img class="formulaInl" alt="$ x + \Delta x $" src="form_366.png"/>. </p>

<p>Reimplemented from <a class="el" href="class_quant_lib_1_1_stochastic_process1_d.html#a905bb2d5a924e5274035b0850c3e04fb">StochasticProcess1D</a>.</p>

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<a class="anchor" id="a81842299056bb82662dce099fca6bcba"></a><!-- doxytag: member="QuantLib::GeneralizedBlackScholesProcess::expectation" ref="a81842299056bb82662dce099fca6bcba" args="(Time t0, Real x0, Time dt) const " -->
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          <td class="memname"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> <a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#a81842299056bb82662dce099fca6bcba">expectation</a> </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="group__types.html#ga14fb8fca43a68f4168654e1f9f7e22f7">Time</a>&#160;</td>
          <td class="paramname"><em>t0</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td>
          <td class="paramname"><em>x0</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__types.html#ga14fb8fca43a68f4168654e1f9f7e22f7">Time</a>&#160;</td>
          <td class="paramname"><em>dt</em>&#160;</td>
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          <td></td>
          <td>)</td>
          <td></td><td> const<code> [virtual]</code></td>
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<dl class="caveats"><dt><b><a class="el" href="caveats.html#_caveats000104">Warning:</a></b></dt><dd>raises a "not implemented" exception. It should be rewritten to return the expectation E(S) of the process, not exp(E(log S)). </dd></dl>

<p>Reimplemented from <a class="el" href="class_quant_lib_1_1_stochastic_process1_d.html#a8be83040b1b61f27a482f14d5b461caa">StochasticProcess1D</a>.</p>

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<a class="anchor" id="a28916b3498be74dceb699ad1499a46c0"></a><!-- doxytag: member="QuantLib::GeneralizedBlackScholesProcess::evolve" ref="a28916b3498be74dceb699ad1499a46c0" args="(Time t0, Real x0, Time dt, Real dw) const " -->
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          <td class="memname"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> <a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#a28916b3498be74dceb699ad1499a46c0">evolve</a> </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="group__types.html#ga14fb8fca43a68f4168654e1f9f7e22f7">Time</a>&#160;</td>
          <td class="paramname"><em>t0</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td>
          <td class="paramname"><em>x0</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__types.html#ga14fb8fca43a68f4168654e1f9f7e22f7">Time</a>&#160;</td>
          <td class="paramname"><em>dt</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td>
          <td class="paramname"><em>dw</em>&#160;</td>
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          <td></td>
          <td>)</td>
          <td></td><td> const<code> [virtual]</code></td>
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<p>returns the asset value after a time interval <img class="formulaInl" alt="$ \Delta t $" src="form_354.png"/> according to the given discretization. By default, it returns </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ E(x_0,t_0,\Delta t) + S(x_0,t_0,\Delta t) \cdot \Delta w \]" src="form_365.png"/>
</p>
<p> where <img class="formulaInl" alt="$ E $" src="form_358.png"/> is the expectation and <img class="formulaInl" alt="$ S $" src="form_212.png"/> the standard deviation. </p>

<p>Reimplemented from <a class="el" href="class_quant_lib_1_1_stochastic_process1_d.html#a690ddf2804c6862d281f9181bd2b633e">StochasticProcess1D</a>.</p>

<p>Reimplemented in <a class="el" href="class_quant_lib_1_1_extended_black_scholes_merton_process.html#a28916b3498be74dceb699ad1499a46c0">ExtendedBlackScholesMertonProcess</a>.</p>

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<a class="anchor" id="af8a1d4ca4369b3009d08291f1c2d7744"></a><!-- doxytag: member="QuantLib::GeneralizedBlackScholesProcess::time" ref="af8a1d4ca4369b3009d08291f1c2d7744" args="(const Date &amp;) const " -->
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          <td class="memname"><a class="el" href="group__types.html#ga14fb8fca43a68f4168654e1f9f7e22f7">Time</a> <a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#af8a1d4ca4369b3009d08291f1c2d7744">time</a> </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="class_quant_lib_1_1_date.html">Date</a> &amp;&#160;</td>
          <td class="paramname"></td><td>)</td>
          <td> const<code> [virtual]</code></td>
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<p>returns the time value corresponding to the given date in the reference system of the stochastic process.</p>
<dl class="note"><dt><b>Note:</b></dt><dd>As a number of processes might not need this functionality, a default implementation is given which raises an exception. </dd></dl>

<p>Reimplemented from <a class="el" href="class_quant_lib_1_1_stochastic_process.html#acb2c915740d2c20c6ee1f5c27b05caef">StochasticProcess</a>.</p>

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<a class="anchor" id="ac5c54df7ed3b930268c8d7752c101725"></a><!-- doxytag: member="QuantLib::GeneralizedBlackScholesProcess::update" ref="ac5c54df7ed3b930268c8d7752c101725" args="()" -->
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          <td class="memname">void <a class="el" href="class_quant_lib_1_1_generalized_black_scholes_process.html#ac5c54df7ed3b930268c8d7752c101725">update</a> </td>
          <td>(</td>
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          <td><code> [virtual]</code></td>
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<p>This method must be implemented in derived classes. An instance of Observer does not call this method directly: instead, it will be called by the observables the instance registered with when they need to notify any changes. </p>

<p>Reimplemented from <a class="el" href="class_quant_lib_1_1_stochastic_process.html#ac5c54df7ed3b930268c8d7752c101725">StochasticProcess</a>.</p>

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