Hilda has the option to buy two different annuities. The first starts in four years and pays $1,800 per year for four years. The second begins in 10 years and pays $5,000 per year for eight years. Currently, Hilda is very risk-averse and thus her current required return is 8.1%. In nine years, she expects to be more financially secure and her cost of capital will increase to 9.8% from then on. If each annuity costs $5,000 today, which annuity (or annuities), if any, should Hilda purchase? How much value will she realize from the purchase(s). If she makes any purchases? Purchase second: $21.870.00 value realized Purchase both: 5948 58 value realized from fust, $21.870.00 from second Purchase both: 5948.58 value realized from first, $8,330.17 from second Purchase second: $8,330.17 value realized