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5. (4) For an asset paying a stochastic dividend yield, qt, define the cum-dividend asset price to be S~(t)=e0tqsdsS(t) Assume that the cum-dividend asset price

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5. (4) For an asset paying a stochastic dividend yield, qt, define the cum-dividend asset price to be S~(t)=e0tqsdsS(t) Assume that the cum-dividend asset price follows a lognormal risk-neutral dynamics dS~t=S~t(rtdt+STdWt) prove that the risk-neutral dynamics of the spot price St is dSt=St((rtqt)dt+STdWt)

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