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Measuring Worth - Measures of worth, S&P Index accumulated value

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The January average of a "common-stock" index.<br> 2. The annual yield on that index for that entire year.<br> 3. The January average of the "accumulated" value of the index.<br> The accumulated index assumes that upon receipt of each cash dividend, the investor holding the portfolio of the stocks in the index would reinvest them in the portfolio. It does not take into account fees or taxes.</p> <p> From 1871 to 1926 the data for these indexes were constructed by the Cowles Commission and are found in Common-Stock Indexes 2nd edition, Principia Press, Inc., Bloomington, Indiana 1939. The series used from this report are P-1 (pp. 66-67), Ya-1 (pp. 372-373), and C-1 (pp. 168-169). </p> <p> From 1926 to the present, the data are from various reports of Standard & Poors. The index is a consistent measure over the period as stated on page 120 of the 1972 Annual Edition of Standard & Poor's Security Price Index Record: "From January 1918 to date, these indexes are a monthly average of the Standard & Poor's Price Indexes. The Indexes for earlier years (from 1871 to 1918) have been converted to a 1941-43 base from the Cowles Commission Stock Price Indexes. The Cowles Commission Indexes are an extension of the Standard & Poor's Indexes, the same method of construction being used, as far as possible, the same companies."</p> <p> To construct an accumulated index it is assumed that a portfolio of the stocks that make up the composite index was bought in January of an initial year for the average price of them during that month. It is then assumed that each year thereafter, the dividends on the stocks in the portfolio are received at the end of the year and are used to buy more of the stocks (in that portfolio) at their new prices in January of the following year. No money is taken out of the portfolio and there is no allowance for any taxes or commissions that might be need to paid. </p> <p>Portfolio(year2) = Portfolio(year1) times (index(year2))/(index(year1)) + Portfolio(year1) times yield(year1). </p> <p>The portfolio is assumed to be held indefinitely. The accumulated index presented here assumes one dollar was invested in the January of 1871.</p> <br><br> <p> Please read our <a href="#" class="content" onClick="MM_openBrWindow('/includes/datarevisionsnote.php','','scrollbars=no,resizable=yes,width=450,height=300')"> Note on Data Revisions</a>.</p> <center><h4>Citation</h4></center> <p align="center">Samuel H. Williamson, &quot;S&P Index, Yield and Accumulated Index, 1871 to Present,&quot; MeasuringWorth, <script>document.write(new Date().getFullYear())</script><br> URL: http://www.measuringworth.com/datasets/sap/</p> <hr /><p> Please <a href="/sendcomment.php" class="content" title="Let us know how we can be more helpful">let us know</a> if and how this discussion has assisted you in using our calculators.<br><br></p> </div> </div> <!-- Begin Left Nav --> <div id="navigation"> <!--a class='navigation' href="/index.php" title="Measuring Worth home page">HOME</a><br> <a class='navigation' href="/aboutus.php" title="Learn more about the Measuring Worth project">ABOUT US</a><br> <a class='navigation' href="/sendcomment.php" title="Contact MeasuringWorth">CONTACT US</a><br> <a class='navigation' href="/contribute.php" title="Contact MeasuringWorth">SUPPORT OUR WORK</a><br> <a class='navigation' href="/guide.php" title="Visit the Measuring Worth User Guideto learn more about inflation rates, saving caluclators, relative value, worth of a dollar, worth of a pound and more">USER GUIDE</a><br> <a class='navigation' href="/glossary/index.php" title="Learn more about Measuring Worth terminology and frequently asked questions">GLOSSARY &amp; 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and $</a><br> <a class='submenu' title="Australian Relative Values" href='/spaincompare/'>Relative Values - Spain</a><br> <a class='submenu' title="Convert dollars to pounds" href='/exchange/'>Conversion ($ and &pound;)</a><br> <a class='submenu' title="UK Purchasing Power" href='/ppoweruk/'>Purchasing Power - UK &pound;</a><br> <a class='submenu' title="US Savings Growth" href='/ussave/'>Savings Growth - US $</a><br> <a class='submenu' title="US Savings Growth" href='/401k&IRA/'>401k & IRA Growth - US</a><br> <a class='submenu' title="Calculate inflation rates" href='/inflation/'>Inflation Rates</a><br> <a class='submenu' title="Stock Growth Rates - DJIA, SP500 & NASDAQ" href='/DJIA_SP_NASDAQ/'>Stock Growth Rates<br />&nbsp;&nbsp;(DJIA, SP500 & NASDAQ)</a> </div> <a class='navigation' title="Graph the value of things over time" href="/graphs/">GRAPHS</a><br> <a class='navigation' title="Data sets for measuring worth" href="/datasets/index.php">DATA SETS</a><br> <div class='submenu'> <a class='submenu' title="US GDP over time" href='/usgdp/'>GDP - US <!--img src="/images/newred.png" width="50px" style=""--></a><br> <a class='submenu' title="US CPI over time" href='/uscpi/'>CPI - US</a><br> <a class='submenu' title="US wage over time" href='/uswage/'>Wage - US</a><br> <a class='submenu' title="US Consumer Bundle over time" href='/consumer/'>Consumer Bundle - US</a><br> <a class='submenu' title="UK GDP over time" href='/ukgdp/'>GDP - UK <!--img src="/images/notnewblue.png" width="50px"--></a><br> <a class='submenu' title="UK RPI & earnings over time" href='/ukearncpi/'>RPI & Earnings - UK</a><br> <a class='submenu' title="Spain GDP over time" href='/spaingdp/'>GDP, Prices & Wages - Spain <!--img src="/images/newred.png" width="50px" style=""--></a><br> <a class='submenu' title="Australia GDP, Prices & Stocks over time" href='/datasets/australiadata/'>GDP, Prices & Stocks - Australia</a><br> <a class='submenu' title="Chinese GDP & Prices over time" href='/auswages/'>Wages - Australia <!--img src="/images/newred.png" width="50px"--></a><br> <a class='submenu' title="US SAP over time" href='/datasets/sap/'>Annual S&amp;P Index</a><br> <a class='submenu' title="Daily DJA over time" href='/datasets/DJA/index.php'>Daily DJA</a><br> <a class='submenu' title="price of gold over time" href='/gold/'>Price of Gold</a><br> <a class='submenu' title="US & UK Interest Rates over time" href='/interestrates/'>Interest Rates - US & UK</a><br> <a class='submenu' title="Dollar Exchange Rates over time" href='/exchangeglobal/'>Dollar Exchange Rates</a><br> <a class='submenu' title="Dollar-Pound Exchange Rate over time" href='/exchangepound/'>Dollar-Pound Exchange Rate</a> </div> <a class='navigation' title="Data sets for measuring worth" href="/newsletter.php">SIGN UP FOR ANNOUNCEMENTS</a><br> <!--img src="/timetraveler/leftnav_admain.png" alt="Time Traverler's Investment Calculator" border="0"> <a href="http://itunes.apple.com/us/app/the-time-travelers-investment/id434699723?mt=8&uo=4" target="itunes_store"> <img style="float:left;margin:5px;margin-left:0px;" src="/timetraveler/leftnav_adistore.png" alt="Time Traverler's Investment Calculator" border="0"> </a> <a href="https://play.google.com/store/apps/details?id=timetravelerscalculator.id" target="itunes_store"> <img style="margin:5px;" src="/timetraveler/leftnav_adplaystore.png" alt="Time Traverler's Investment Calculator" border="0"> </a--> </div> <!-- End Left Nav --> <!-- Begin Footer --> <div id="footer"> <div class="footer-header">MeasuringWorth is a service for calculating relative worth over time.</div> <p><a class='footer' href="../index.php" title="Measuring Worth home page">Home</a> | <a class='footer' href="/aboutus.php" title="Learn more about the Measuring Worth project">About Us</a> | <a class='footer' href="/sendcomment.php" title="Contact the Measuring Worth staff">Contact Us</a> | <a class='footer' href="/contribute_donate.php" title="Contribute to the Measuring Worth project">Support Our Work</a><br /><br /> Copyright &copy; 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