Filip won a lottery; however, the lottery company gave him the following two options to receive the prize money:Option A: $$110,000$ today, $$70,000$ in $8$ months and $$80,000$ in $15$ monthsOption B: $$45,000$ today and $$220,000$ in $10$ monthsRound answers to two decimal places.a$.$ If money earns $5\%$ simple interest, determine the economically equivalent value of each prize option in today's dollars.Option A:Today's value of $$70,000$ due in $8$ months $=$Today's value of $$80,000$ due in $15$ months $=$Total Value of Option A $=$Option B:Today's value of $$220,000$ due in $10$ months $=$Total Value of Option B $=$Which option would be better for Filip $($A or B$)?$In today's dollars, what is the economic advantage of the preferred choice?