= Dividend-price transversality condition
{title2=$\lim_{N\to\infty}\mathbb E_t[\zeta_NS_N]=0$}
A positive <state-price density> prices a productive <stock> through a conditional dividend sum plus a future deflated-price term. The displayed condition removes that terminal term, yielding <transversality and fundamental dividend prices>. An individual consumption budget instead has terminal term $\mathbb E[\zeta_NS_N\theta_{N+1}]$, so its vanishing must be imposed or proved for the particular holdings as well.
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