Roll returns and underlying change

Hi all. After searching through forums I have yet to find a true answer to my question so I have decided to start a thread.

I am currently developing a strategy with a friend regarding a non-directional energy trade. Does anyone happen to know how a price shift in and underlying commodity could affect the expected monthly roll yield on its prospective futures contract? Additionally, how would price volatility affect the yield as well?

Any insight would be appreciated.

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Roll returns and underlying change

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Roll returns and underlying change

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