S&P 500 Index (Yearly values)

S & P 500 index is useful in considering stock market fluctuations. Components of the index often change. Even then an attempt has been made to calculate yearly values and correlate them with the index data available on yahoo website for the first opening day of January of each year from 1953 to 2010. The following table can help in finding correlation between the observed and suggested values. One will find that the difference between calculated and known values is within +/-5%.
It was suggested in earlier studies that low and high values for the seven year period-2009 to 2016- will be 731 and 1691 with the error of +/-10%.
In the present studies, values of S & P 500 index for the First of January are calculated for the period 2009 to 2018. These values can be used with other known techniques for understanding the good and bad times.