(a) If you will be making equal deposits into a retirement account for 20 years (with each payment at the end of the year), how much must you deposit each year if the account earns 5% compounded annually and you wish the account to grow to $1,000,000 after 40 years (in time 40)?

(b) How does your answer change if the account pays interest compounded monthly at an annual rate of 5%? Note: use monthly compounding for all calculations