Donald has just won the Flyball Lottery. He has two options for receiving his prize. The first option is to accept a $$130,000$ cash payment today. The second option is to receive $$22,200$ at the end of each of the next $19$ years and a $$32,400$ lump sum payment in the $20$th year. Donald can invest money at a $7\%$ 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 valueWhich option should Donald choose to receive his winnings?DocumentsMoviesScreenshots$($b$)$ If Donald could invest money at $10\%,$ 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$.58,971.)$Present valueOption $1$Which option should he choose?Option