You have a goal of having $100,000 five years from today. The return on the investment is expected to be 8% and will be compounded semi-annually. The amount that needs to be invested today is closest to:

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 $32,500 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?