You decide to purchase an Ohio lottery ticket and the jackpot is $$120$ million. Before you purchase the

ticket, you must decide whether to choose the cash option or the annuity payment option. If you choose

the annuity payment option and win, you will receive $$120$ million in $30$ equal payments of $$4$ million $$ one

payment today and one payment at the end of each of the next $29$ years. If you choose the cash option,

you will receive a one$-$time lump sum payment of $$60$ million. At what rate of return with annual compounding, would you be indifferent between the cash option and

the annuity payment option? $\_\_\_\_\_\_.\_\_\_\_\_\_\%$