Also, in the one 5% plus inflation surge that was in this data set, the CRB index produced a nominal compound return of 1.58% and a real return of minus 3.32%.
What I do know is that for the limited data set I have, the CRB index produced a nominal compound return of 0.77%, a real return of minus 2.16%, a standard deviation that is twice that of Treasuries, had a twelve month period with a loss of 48.74% and had a 27 year period with a negative compound return.