Pair Correlation Between DOW and ProShares Ultra

This module allows you to analyze existing cross correlation between DOW and ProShares Ultra Bloomberg Natural Gas. You can compare the effects of market volatilities on DOW and ProShares Ultra and check how they will diversify away market risk if combined in the same portfolio for a given time horizon. You can also utilize pair trading strategies of matching a long position in DOW with a short position of ProShares Ultra. See also your portfolio center. Please also check ongoing floating volatility patterns of DOW and ProShares Ultra.
 Time Horizon     30 Days    Login   to change
 DOW  vs   ProShares Ultra Bloomberg Natu
 Performance (%) 

Pair Volatility

Given the investment horizon of 30 days, DOW is expected to under-perform the ProShares Ultra. But the index apears to be less risky and, when comparing its historical volatility, DOW is 2.01 times less risky than ProShares Ultra. The index trades about -0.05 of its potential returns per unit of risk. The ProShares Ultra Bloomberg Natural Gas is currently generating about 0.22 of returns per unit of risk over similar time horizon. If you would invest  520.00  in ProShares Ultra Bloomberg Natural Gas on February 15, 2018 and sell it today you would earn a total of  44.00  from holding ProShares Ultra Bloomberg Natural Gas or generate 8.46% return on investment over 30 days.

Correlation Coefficient

Pair Corralation between DOW and ProShares Ultra


Time Period1 Month [change]
ValuesDaily Returns


Significant diversification

Overlapping area represents the amount of risk that can be diversified away by holding DOW and ProShares Ultra Bloomberg Natu in the same portfolio assuming nothing else is changed. The correlation between historical prices or returns on ProShares Ultra Bloo and DOW is a relative statistical measure of the degree to which these equity instruments tend to move together. The correlation coefficient measures the extent to which returns on DOW are associated (or correlated) with ProShares Ultra. Values of the correlation coefficient range from -1 to +1, where. The correlation of zero (0) is possible when the price movement of ProShares Ultra Bloo has no effect on the direction of DOW i.e. DOW and ProShares Ultra go up and down completely randomly.

Comparative Volatility

 Predicted Return Density