1. Suppose that the singer Taylor Swift considers a similar deal. Specifically, she plans to obtain $50ml. in exchange for a fixed monthly payment that comes from her royalties over the future 10 years. What is the lowest amount of yearly royalties needed to meet the fixed payment to investors that require a 3% annual return on their investment, and get the first payment 2 months after the issuance date?

2. The rapper Drake generated $22ml. in royalties in 2019. Suppose that such royalties will decline by 12% each year. Calculate the present value of this stream of cash flows when the required rate of returns for investors is 4%.

3. The soccer player Messi is estimated to have earned $127mil. in 2019. He currently is 32 years old. Suppose that he will be able to play professionally for another 5 years, and then he retires and will make $1mil. of income from then on for 40 years. Within the next 5 years, his income will decline by 2% per year. What is the present value of Messis stream of future salaries, if the annual interest rate is 2%?