Problem 1 Your sister turned 35 today, and she is planning to save $30,000 per year for retirement, with the first deposit to be made one year from today. She will invest in a mutual fund that's expected to provide a return of 7.5% per year. She plans to retire 30 years from today, when she turns 65, and she expects to live for 25 years after retirement, to age 90. She wants to be able to withdraw each year, at the beginning of each year, what her annuity payment will be worth when she's 50. Inflation is 2.8%. She currently has $20,000 invested in treasury securities that pay 1.04% compounded semiannually. How much will her treasury securities be worth when she retires? How much will her payments need to be? How much money will she need when she retires to make these payments? How much will she need to save each year before she retires to meet her goal? a. b. c. d. Problem 2 After graduation, you plan to work for Dynamo Corporation for 12 years and then start your own business. You expect to save and deposit $7,500 a year for the first 6 years (t 1 through t 6) and $15,000 annually for the following 6 years (t 7 through t 12). The first deposit will be made a year from today. In addition, your grandfather just gave you a S32,500 graduation gift which you will deposit immediately (t -0). If the account earns 9% compounded annually, how much will you have when you start your business 12 years from now