Before revision:  In this work, we consider the S\&P 500 portfolio over the 1958-2015 time horizon weighted by Tukey's transformational ladder (Tukey2): 1/x^2,\,\, 1/x,\,\, 1/x,\,\, log(x),\,\, x,\,\, x,  \,\, and \,\, x^2, where x is  the market capitalization weighted S\&P 500 portfolio.
After revision:  In this work, we consider the S\&P 500 portfolio over the 1958-2015 time horizon weighted by Tukey's transformational ladder (Tukey2): 1/x^2,\,\, 1/x,\,\, 1/x,\,\, log(x),\,\, x,\,\, x,  \,\, and \,\, x^2, where x is defined as the market capitalization weighted S\&P 500 portfolio.