There are 5 Questions. Each problem is worth 1 point. For all the problems, assume r=10% per year 1. What is the value today of $100 first received in year 5 and every year thereafter? 2. What is the value today of a 30-year annuity that starts paying $100 in year 20? 3. What is the value today of a 30-year annuity that starts paying $100 in year 20 and grows by 3% every year thereafter? 4. What is the value at time year=7 of a perpetuity that pays $100 every year starting in year 10 and grows at 2% thereafter? 5. What is the value today of a security that pays $100 starting at year=1 till year=5 and payments grow at 3% every year thereafter?