Brian has just won the Flyball Lottery. He has two options for receiving his prize. The first option is to accept a $$126,000$ cash payment

today. The second option is to receive $$18,900$ at the end of each of the next $19$ years and a $$25,000$ lump sum payment in the $20$ th

year. Brian can invest money at a $6\%$ rate.

Click here to view the factor table.

$($a$)$ Calculate the present value of the two options. $($For calculation purposes, use $4$ decimal places as displayed in the factor table provided

and round final answer to $0$ decimal place, e$.$g$.58,971.)$

Option $1$

Option $2$

Present value

$

Which option should Brian choose to receive his winnings?

$($b$)$ If Brian could invest money at $9\%,$ calculate the present value of the two options. $($For calculation purposes, use $4$ decimal places as

displayed in the factor table provided and round final answer to $0$ decimal place, e$.$g$.58,971.)$

Option $1$

Option $2$