While attempting to model the SPX index over time, I found a source here that purportedly has historical daily SPX data going back to 1789 which very likely seems to be backcasted since the ~500 stock version only came into being around 1957.
What I am more uncertain about is if the daily data from this source dating back to 1927 (when SPX was a ~200(?) stock index) is simply a linearly interpolated version of the monthly data at this time? since I have not seen many data sources claim to have daily data for SPX starting in 1927.
Additionally, when doing some exploratory data analysis, I found that there was notable, but still small autocorrelation (~0.1) at the first lag which I know could be from the market being less efficient during this period, but still seemed like it could be an artifact of interpolation.