Problem 1 (12marks) Sally Sims just turned 20 and received a gift of $50,000 from her rich aunt. Sally would like to retire on her 55 th birthday and thinks she'll need to have about $2,000,000 saved by that time to maintain her lavish lifestyle. She plans to make a deposit at the end of each month until she is 50 into an account that she'll open with her aunt's gift. After age 50 , she plans to stop making deposits and let the money grow until it reaches $2,000,000 when she turns 55 . Assume she can earn 7% compounded semi-annually. How much will Sally have to deposit into her account each month to achieve her objective