answer question 5,6,7 answer all of them with full answers

5) You have decided to buy a perpetuity. The bond makes one payment at the end of every year forever and has an interest rate of 5%. If you initially put $1,000 into the bond, what is the payment every year? 6) You have found three investment choices for a one-year deposit: 10% APR compounded monthly, 10\% APR compounded annually, and 9% APR compounded daily. Compute the EAR for each investment choice. Assume that there are 365 days in the year. 7) If the rate of inflation is 5%, what nominal interest rate is necessary for you to earn a 3% real interest rate on your investment