I have liquid option quotes for 1, 2, 3 and 4y expiries. I was able to imply the continuous dividend yield for all of those. How would you extrapolate such implied yield to 5 and 6y expiries?

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    $\begingroup$ I would take a step back and ask the usefulness of such a calculation. Are you calculating dividend yields from vanilla option prices? In practice I have found this to be a first-order approximation. Also in most instances you calculate the dividend from $(r-\delta)$ (requiring you to have some opinion as to the structure of $r$) which is increasingly difficult in the durations you mention. $\endgroup$
    – Jared
    Jul 31 '18 at 15:43

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