Angelica is already trying to decide what to do with future lottery winnings, but she hasn't won yet! The drawing this Saturday has a projected lump-sum payout of $4,560,000. Alternatively, the winner could accept an annual payout of $400,000 for the next 20 years. Angelica, who is 25 years old, estimates that a comparable investment could earn a 12% return in the current market. Click here to view the factor table (a) Which payout option should Angelica choose when she wins the lottery? (Round present volue factor calculations to 5 decimal places, e8. 125124 and final answer to 2 decimol places e.8. 5, 125.36.) PV of annual payment $ Angelicashould choosethe payment. eTextbook and Media Attempts: unlimited (b) If Angelica chooses the lump-sum payment, she will invest it and try not to touch any of the earnings until her retirement. She will then use the entire value of the investment to purthese an island in the Medi terranean. If she plans to retire in 20 years and her investment consistently earns 12% ennually, how truct will her bud get be for the I sland? (Round present value factor calculations to 5 decimal places, eg. 1.25124 and final ariswer to 2 decintal pluces eg, 5, 125.36) Budget s answer to 2 decimal places e8. 5, 125.36) If Angelica instead plans to purchase a nice home on the coast with her lump-sum lottery winnings right now, but also wants to purchase an island in the Mediterranean when she retires in 20 years, how much would she need to imvest each year in order to reach the same total investment value as in part (b) (consider both the 12% and 5% options)? (Round present value foctor calculations to 5 decimal places, e.g. 1.25124 and final answers to 2 decimal places 2.8.5,125.36.)