answer question two and parts a and b with it. please give explanation for each step as you solve the question

Question 2. On January 1, 2024, you are setting up a perpetuity where you can withdraw $20000 at the end of every quarter where the first withdrawal occurs on March 31,2024 . To do this, you make an initial deposit of A into an account where interest is compounded at thd end of each month at an APR of r. (a) Determine A in terms of r. (b) The terms of the perpetuity change after 10 years, so that interest is to be compounded continuously at an APR of r instead. Determine which of the two following statements is true, and justify your answer. - Statement A: You need to deposit a lump sum into the account at the 10-year mark so that you can still receive the quarterly payments of $20000. - Statement B: The revised terms of the perpetuity allow you to withdraw more money every quarter without adding any more money into the account