In $2021,$ a stock was worth $200$ dollars on January $1$st$,$ and paid

the following dividends: $17$ dollars on April $1$st$,27$ dollars on July $1$st$,$ and $21$ dollars

on October $1$st$.$ The effective annual interest rate was $6\%.$ Suppose that on November

$1$st of that year, you met someone who had taken a short forward position on that stock

on January $1$st$,$ with delivery on January $1$st of the next year $(2022).$ At that time, the

stock price was at $150$ dollars, and the person you met would pay you x dollars to give

you their position. Should you have accepted their offer if:

$1.$ x $=6$ dollars?

$2.$ x $=7$ dollars?

For both cases, justify your answer. If the answer is $$yes$,$ explain what steps you would

have followed in order to end up with a profit.