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<html>
<head>
    <title>Welcome to Pivot Trading, Camarilla Trading, Gann Calclator, Elliot Wave Trading, Gann Square of 9, Woodie Pivot Trading, Volatility Based Trading </title>
    <META CONTENT='MODIFIED PIVOT TRADING, Modified Pivot trading, Intraday Pivot Point Calculator, Intraday, Trading' NAME='keywords'></META>
    <META CONTENT='Modified Pivot Trading' NAME='description'></META>
    <META CONTENT='sourabh_gandhi@yahoo.com' NAME='Author'></META>
    <META CONTENT='index, follow' NAME='robots'></META>
    <META CONTENT='© 2010 pivottrading.net All Rights Reserved.' NAME='copyright'></META>
    <META CONTENT='General' name='rating'></META>
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    <META CONTENT='never' name='expires'></META>
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<table width="100%" cellspacing="0" cellpadding="0" border="0" bgcolor="black">
<tr bgcolor="black">
    <td style="font-size:13px;"><iframe src='https://www.pivottrading.co.in/header_ad.php' width='1325' height='175' scrolling=no frameborder='0'></iframe></td>
</tr>
<tr>
    <td>
        <ul id="nav">

            <li><a href="https://www.pivottrading.co.in/pages/index.php">Home</a>
        		<ul>
        			<li><a href="https://www.pivottrading.co.in/pages/index.php">Home Page</a></li>
        			<li><a href="https://www.pivottrading.co.in/pages/contactUs.php">Contact Us</a></li>
        			<li><a href="https://www.pivottrading.co.in/pages/disclaimer.php">Disclaimer</a></li>
					<li><a href="https://www.pivottrading.co.in/beta/index.php">New Beta Website</a></li>
        			<!--<li><a href="https://www.pivottrading.co.in/upstox-partner.php">Become Upstox Partner</a></li>                -->
        			
        		</ul>
            </li> 
            <li><a href="#">Calculators (22)</a>
                <ul>
        		<li><a href="#">Forex Calculators (4) &raquo;</a>
        			<ul>
        				<li><a href="https://www.pivottrading.co.in/beta/tools/forex-camarilla.php">Advanced Camarilla</a></li>
						<li><a href="https://www.pivottrading.co.in/forex/advancedElliott.php">Advanced Elliott Wave</a></li>
						<li><a href="https://www.pivottrading.co.in/beta/tools/forex-advanced-gann-square-of-9.php">Advanced Gann Square of Nine</a></li>
						<li><a href="https://www.pivottrading.co.in/beta/tools/forex-gann-square-of-9.php">Simple Gann Square of Nine</a></li>
        			</ul>
        		</li>
                <li><a href="#">Gann Calculators (4) &raquo;</a>
        			<ul>
        				<li><a href="https://www.pivottrading.co.in/beta/tools/forex-gann-square-of-9.php">Forex Gann Square of 9</a></li>
        				<li><a href="https://www.pivottrading.co.in/beta/tools/simple-gann-square-of-9.php">Simple Gann Square of 9</a></li>
        				<li><a href="https://www.pivottrading.co.in/beta/tools/advanced-gann-square-of-9.php">Advanced Gann Square of 9</a></li>
        				<li><a href="https://www.pivottrading.co.in/pages/gannPositional.php">Gann Positional/Swing</a></li>
        			</ul>
        		</li>
        		<li><a href="#">Pivot Point (2) &raquo;</a>
        			<ul>
        				<li><a href="https://www.pivottrading.co.in/beta/tools/pivot-point-calculator.php">Simple Pivot Point</a></li>
        				<li><a href="https://www.pivottrading.co.in/beta/tools/pivot-point-calculator.php">Fibonacci Pivot Point</a></li>
        			</ul>
        		</li>
        		<li><a href="#">Camarilla (2) &raquo;</a>
        			<ul>
        				<li><a href="https://www.pivottrading.co.in/beta/tools/camarilla-calculator.php">Simple Camrilla</a></li>
        				<li><a href="https://www.pivottrading.co.in/beta/tools/camarilla-calculator.php">Advanced Camarilla</a></li>
        			</ul>
        		</li>
        		<li><a href="#">Volatility (2) &raquo;</a>
        			<ul>
        				<li><a href="https://www.pivottrading.co.in/beta/tools/advanced-volatility.php">Simple Volatility</a></li>
        				<li><a href="https://www.pivottrading.co.in/beta/tools/advanced-volatility.php">Advanced Volatility</a></li>
        			</ul>
        		</li>
        		<li><a href="#">Retracement & Extension (2) &raquo;</a>
        			<ul>
        				<li><a href="https://www.pivottrading.co.in/beta/tools/simple-retracement-calculator.php">Simple Retracement</a></li>
        				<li><a href="https://www.pivottrading.co.in/beta/tools/retracement-extension.php">Fibonacci Retracement & Extension</a></li>
        			</ul>
        		</li>
        		<li><a href="#">Elliott Wave (2) &raquo;</a>
        			<ul>
        				<li><a href="https://www.pivottrading.co.in/pages/elliott.php">Simple Elliott Wave</a></li>
        				<li><a href="https://www.pivottrading.co.in/pages/advancedElliott.php">Advanced Elliott Wave</a></li>
        			</ul>
        		</li>
        		<li><a href="https://www.pivottrading.co.in/pages/breakout.php">Breakout</a></li>
        		<li><a href="https://www.pivottrading.co.in/beta/tools/woodie-calculator.php">Woodie</a></li>
                <li><a href="https://www.pivottrading.co.in/pages/niftyTrendFinder.php">Nifty Trend Finder</a></li>
        		<li><a href="https://www.pivottrading.co.in/pages/option.php">Option</a></li>		
                </ul>
            </li>
            <li><a href="#">Realtime Calculator (3)</a>
        		<ul>
        			<li><a href="https://pivottrading.co.in/trade/realtimeAdvancedCamarilla.php">Advanced Camarilla</a></li>
        			<li><a href="https://pivottrading.co.in/trade/realtimeAdvancedGann.php">Advanced Gann Square of 9</a></li>
        			<li><a href="https://pivottrading.co.in/trade/openingRangeBreakout.php">Opening Range Breakout</a></li>
        		</ul>
            </li>
            
			<li><a href="#">Tools(10)</a>
        		<ul>
        			<li><a href="https://www.pivottrading.co.in/scanner/openHighLowScanner.php">Open High Low Scanner</a></li>
        			<li><a href="https://www.pivottrading.co.in/scanner/equityBreakoutScanner.php">Equity Cash Breakout Levels</a></li>
        			<li><a href="https://www.pivottrading.co.in/scanner/multiScanner.php">Price Action Multi Purpose</a></li>
        			<li><a href="https://www.pivottrading.co.in/scanner/openHighLowWithBreakoutScanner.php">Opening Range Breakout Scanner</a></li>
        			<li><a href="https://www.pivottrading.co.in/scanner/camarillaScanner.php">Advanced Camarilla Scanner</a></li>			
        			<li><a href="https://www.pivottrading.co.in/scanner/gapup-gapdown-scanner.php">Gapup-Gapdown-Scanner</a></li>
        			<li><a href="https://www.pivottrading.co.in/scanner/prb-scanner.php">PRB Scanner</a></li>
        			<li><a href="https://www.pivottrading.co.in/beta/tools/nifty-swing-trader.php">Nifty Index</a></li>
					<li><a href="https://www.pivottrading.co.in/beta/tools/equity-swing-trader.php">Equity Cash</a></li>
        			<li><a href="https://www.pivottrading.co.in/scanner/btst-stbt.php">BTST / STBT</a></li>
        		</ul>
        	</li>
        	<li><a href="#">FNO Tools (10)</a>
        		<ul>
        			<li><a href="https://www.pivottrading.co.in/scanner/indexOptionsOpenHighLowScanner.php">OHL Index Options</a></li>
        			<li><a href="https://www.pivottrading.co.in/scanner/prb-fo-scanner-zerodha.php">PRB Equity Futures</a></li>
        			<li><a href="https://www.pivottrading.co.in/scanner/niftyBreakoutScanner.php">Nifty / BankNifty Breakout</a></li>
        			<li><a href="https://www.pivottrading.co.in/scanner/futuresBreakoutScanner.php">Equity Futures Breakout</a></li>
        			<li><a href="#">Open High Low Scanner (3)</a>
        				<ul>
        					<li><a href="https://www.pivottrading.co.in/scanner/futuresOpenHighLowScanner.php">OHL All Futures</a></li>
        					<li><a href="https://www.pivottrading.co.in/scanner/allOptionsOpenHighLowScanner.php">OHL Stock Options</a></li>
        					<li><a href="https://www.pivottrading.co.in/scanner/indexOptionsOpenHighLowScanner.php">OHL Nifty/BankNifty Options</a></li>
        				</ul>
        			</li>
        			<li><a href="https://www.pivottrading.co.in/scanner/openHighLowWithBreakoutScannerForFutures.php">ORB Equity Futures</a></li>
        			<li><a href="https://www.pivottrading.co.in/scanner/openingRangeBreakout-futures-oco-zerodha.php">ORB Equity Futures + Bracket Order</a></li>
        		</ul>
            </li>
        	<li><a href="#">MCX Tools (9)</a>
        		<ul>
        			<li><a href="https://www.pivottrading.co.in/scanner/mcxMultiScanner.php">MCX Price Action Multi Purpose</a></li>
        			<li><a href="https://www.pivottrading.co.in/scanner/mcxBreakoutScanner.php">MCX Breakout Levels</a></li>
        			<li><a href="https://www.pivottrading.co.in/beta/tools/mcx-swing-trader.php">MCX Commodities Swing Trader</a></li>
        			<li><a href="https://www.pivottrading.co.in/scanner/openHighLowWithBreakoutScannerForCommodities.php">ORB in MCX</a></li>
        			<li><a href="https://www.pivottrading.co.in/scanner/mcxOpenHighLowBasketScanner.php">Advanced OHL Scanner</a></li>
        			<li><a href="https://www.pivottrading.co.in/scanner/mcxOpenHighLowScanner.php">Open High Low Scanner</a></li>
        			<li><a href="https://www.pivottrading.co.in/scanner/mcxCamarillaScanner.php">Advanced Camarilla Scanner</a></li>
        			<li><a href="https://www.pivottrading.co.in/scanner/prevDayMcxOpenHighLowScanner.php">Previous Day OHL Scanner</a></li>        			
        		</ul>
        	</li>
        	<li><a href="#">Demat Account Opening (9)</a>
        		<ul>
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                            <tr><td style="font-size:large;text-align:center;color:#993300;">Black-Scholes option calculation</td></tr>

                        </table>

                        <br/><br/>

                        <table BORDER=3 align=center>

                            <font face="Verdana" SIZE="-1">

                                <th colspan=2><font face="Verdana" SIZE="-1" color=black> input </font></th>

                                <td rowspan=8> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; </td>

                                <th colspan=3><font face="Verdana" SIZE="-1" color=black> Output </font></th>

                                <tr>

                                    <td colspan=2></td>

                                    <td> &nbsp; </td>

                                    <td align=center><font face="Verdana" SIZE="-1" color=black> Calls </font></td>

                                    <td align=center><font face="Verdana" SIZE="-1" color=black> Puts </font></td>

                                </tr>

                                <tr>

                                    <td><font face="Verdana" SIZE="-1" color=black> Strike price </font></td>

                                    <td><input type=text SIZE=8 NAME=strike id='strike'></td>

                                    <td><font face="Verdana" SIZE="-1" color=black> Option value </font></td>

                                    <td><input type=text SIZE=8 NAME=call id='call'></td>

                                    <td><input type=text SIZE=8 NAME=put id='put'></td>

                                </tr>

                                <tr>

                                    <td><font face="Verdana" SIZE="-1" color=black> Share price </font></td>

                                    <td><input type=text SIZE=8 NAME=price id='price'></td>

                                    <td><font face="Verdana" SIZE="-1" color=black> Delta </font></td>

                                    <td><input type=text SIZE=8 NAME=delta_call id='delta_call'></td>

                                    <td><input type=text SIZE=8 NAME=delta_put id='delta_put'></td>

                                </tr>

                                <tr>

                                    <td><font face="Verdana" SIZE="-1" color=black> Time to expiration (days)</font></td>

                                    <td><input type=text SIZE=8 NAME=rem id='rem'></td>

                                    <td><font face="Verdana" SIZE="-1" color=black> theta </font></td>

                                    <td><input type=text SIZE=8 NAME=theta_call id='theta_call'></td>

                                    <td><input type=text SIZE=8 NAME=theta_put id='theta_put'></td>

                                </tr>

                                <tr>

                                    <td><font face="Verdana" SIZE="-1" color=black> Volatility (%) </font></td>

                                    <td><input type=text SIZE=8 NAME=vol id='vol'></td>

                                    <td><font face="Verdana" SIZE="-1" color=black> Vega</font></td>

                                    <td colspan=2 align=center><input type=text SIZE=8 NAME=vega id='vega'></td>

                                </tr>

                                <tr>

                                    <td><font face="Verdana" SIZE="-1" color=black> Annual interest rate (%) </font></td>

                                    <td><input type=text SIZE=8 NAME=intr id='intr'></td>

                                    <td><font face="Verdana" SIZE="-1" color=black> Rho </font></td>

                                    <td><input type=text SIZE=8 NAME=rho_call id='rho_call'></td>

                                    <td><input type=text SIZE=8 NAME=rho_put id='rho_put'></td>

                                </tr>

                                <tr>

                                    <td> &nbsp; </td>

                                    <td> &nbsp; </td>

                                    <td><font face="Verdana" SIZE="-1" color=black> Gamma </font></td>

                                    <td colspan=2 align=center><input type=text SIZE=8 NAME=gamma id='gamma'></td>

                                </tr>

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<script type="text/javascript" src="copyright.js"></script>
<script type="text/javascript">

function roundToPennies(n)


{


    var pennies = n * 10000;


    pennies = Math.round(pennies);


    return pennies / 10000;


}


function erf(d)


{


    var step = 0.01;


    var sum = 0;


    x = -5 + step / 2;


    while ((x < d) && (x < 4))


    {


        sum = sum + Math.exp(- x * x / 2) * step;


        x = x + step;


    }


    return sum / Math.sqrt(2 * Math.PI);


}


function B_S_call(price, strike, rem_time, vol, int_rate)


{


    var d1 = ( Math.log(price / strike) + ( int_rate + vol * vol / 2 ) * rem_time ) /


         ( vol * Math.sqrt(rem_time) );


    var d2 = d1 - vol * Math.sqrt(rem_time);


    return price * erf(d1) - strike * Math.exp(- (int_rate * rem_time)) * erf(d2);


}


function B_S_put(price, strike, rem_time, vol, int_rate)


{


    var d1 = ( Math.log(price / strike) + ( int_rate + vol * vol / 2 ) * rem_time ) /


         ( vol * Math.sqrt(rem_time) );


    var d2 = d1 - vol * Math.sqrt(rem_time);


    return strike * Math.exp(- (int_rate * rem_time)) * erf(-d2) - price * erf(-d1);


}


function getValue(elementId) {


    return document.getElementById(elementId).value;


}


function setValue(elementId, value) {


    document.getElementById(elementId).value = value;


}


function compute()


{


    setValue('call','');


    setValue('put','');


    setValue('delta_call','');


    setValue('delta_put','');


    setValue('theta_call','');


    setValue('theta_put','');


    setValue('rho_call','');


    setValue('rho_put','');


    setValue('vega','');


    setValue('gamma','');


    var rem_time = getValue('rem') / 365;


    var strike = getValue('strike');


    var price = getValue('price');


    var vol = getValue('vol') / 100;


    var int_rate = getValue('intr') / 100;


    var B_S_c = B_S_call(price, strike, rem_time, vol, int_rate);


    var B_S_p = B_S_put(price, strike, rem_time, vol, int_rate);


    setValue('call',roundToPennies(B_S_c));


    setValue('put',roundToPennies(B_S_p));


}


function compute_derivatives()


{


    var rem_time = getValue('rem')/ 365;


    var strike = getValue('strike');


    var price = getValue('price');


    var vol = getValue('vol') / 100;


    var int_rate = getValue('intr')/ 100;


    compute();


    var d1 = ( Math.log(price / strike) + ( int_rate + vol * vol / 2 ) * rem_time ) /


         ( vol * Math.sqrt(rem_time) );


    var d2 = d1 - vol * Math.sqrt(rem_time);


    var erfprimed1 = Math.exp(-(d1 * d1) / 2) / Math.sqrt(2 * Math.PI);


    var delta_c = erf(d1);


    var delta_p = erf(d1) - 1;


    var theta_c = - price * erfprimed1 * vol / ( 2 * Math.sqrt(rem_time) ) -


              int_rate * strike * Math.exp(- int_rate * rem_time) * erf(d2);


    var theta_c = theta_c / 365;


    var theta_p = - price * erfprimed1 * vol / ( 2 * Math.sqrt(rem_time) ) +


              int_rate * strike * Math.exp(- int_rate * rem_time) * erf(-d2);


    var theta_p = theta_p / 365;


    var rho_c = strike * rem_time * Math.exp(- int_rate * rem_time) * erf(d2);


    var rho_c = rho_c / 100;


    var rho_p = - strike * rem_time * Math.exp(- int_rate * rem_time) * erf(-d2);


    var rho_p = rho_p / 100;


    var vega = price * Math.sqrt(rem_time) * erfprimed1;


    var vega = vega / 100;


    var gamma = erfprimed1 / ( price * vol * Math.sqrt(rem_time) );


    setValue('delta_call',roundToPennies(delta_c));


    setValue('delta_put',roundToPennies(delta_p));


    setValue('theta_call',roundToPennies(theta_c));


    setValue('theta_put',roundToPennies(theta_p));


    setValue('rho_call',roundToPennies(rho_c));


    setValue('rho_put',roundToPennies(rho_p));


    setValue('vega',roundToPennies(vega));


    setValue('gamma',roundToPennies(gamma));


}

    
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