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A stock paying $5 in annual dividends sells now for $95 and has an expected return of 11%. What would be the stock price one

A stock paying $5 in annual dividends sells now for $95 and has an expected return of 11%. What would be the stock price one year from now?

* I know the answer is 100.45. But I don't understand why can't i treat it like simple problem and do the following.

Div(PMT)=5, Po(PV)=95, I/yr=11%, N=1, P1(FV)? which in the calculator would give me 110.450.

I can see other answers on chegg. Please kindly answer to my specific question, not showing the other way.

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