The 10 Best, and Worst, Times in History to Invest (on 12/31 of a given year)

On a related point to the chart included in the link below, the current CAPE is about 21.5.

Let’s say you just decided whether to invest once a year, and your timeframe was for the next 10 years.  What have been the 10 best, and worst years to invest since 1871? (10 year real returns, compounded).