1. Professor Wealthy leaves an estate of $100,000. Interest on the estate is paid to Wilson for the first 10 years, to Qingzhi for the second 10 years, and to the Marching Illini thereafter. Find the present value, to the nearest dollar of Wilson's share, of Qingzhi's share, and of the Marching Illini's share, assuming that the estate will earn a 7% annual effective rate of interest. (your answers should sum to $100,000) 2. Clarin donates $2,000,000 to UIUC to endow a professorship. The money is invested at 5% annual effective discount rate. What monthly salary will this donation support, if salary payments are made monthly, starting one month after the gift, and continue forever? 3. Chiara received a 30-year annuity immediate on her 18th birthday. It pays $1000 per year. The annuity was originally purchased by Chiara's grandmother on the day she was born. If the effective annual interest rate is a constant 3.2%, what was the purchase price? . Colin also receives a 30-year annuity immediate on his 18th birthday. It pays $2000 per year. Colin decides to invest each annuity payment in a fund paying 4% annual effective discount rate. When Colin retires on his 65th birthday, how much money will be in the fund? 5. To accumulate $10,000 at the end of 4n years, $100 is deposited at the end of each of the first n years and $200 is deposited at the end of each of the next 3n years. The annual effective rate of interest is i. You are given that (i) 1.6. Find