3. Consider a 20-year annuity-immeliate with payments 100,96,90,.5. Let X be the present value of this annuity and y be the socumalated ndive. At an annal effortive interest rate of i=2K, what is the YXT lens than 95 between 95 and 100 between 100 and 110 between 110 and 125 greater than 125 4. A loan of $4,000 is to be repaid by 20 anntual installments of $200 payable at the beginning of each year, beginning one year from the origination of the loan. In addition, interest of 5% is payable on the last day of each year on the principal outstanding at the beginning of the year. Determine the loan amount L at the time of issue if the yield rate is 6% annnally. less than 3500 between 3500 and 3600 between 3600 and 3700 between 3700 and 3800 greater than 3900 5. A perpetuity-immediate has annual payments of 50 . If the present value of this annuity is 1123, what is the effective annual interest rate i? less than 3.0% between 3.0 and 3.5% between 3.5 and 4.0% between 4.0 and 5.0% greater than 5.0% 6. You are given that a perpetuity-due has annual payments of 10,20,30,. Find the present value of this annuity at an effective annual interest rate of 4%. less than 6700 between 6700 and 6800 between 6800 and 6900 between 6900 and 7500 more than 7500