Paula Morduch is considering purchasing a new van for Meals for the Homeless She expects to buy the van for $50,000 three years from today ) If she can invest money at 6 percent compomded quarterly. how much must she invest today? (Note that 6 percent compoonded quarterly would call for use of a rate of 1.5 percent per quarterly period) b) Suppose that Marduch believes that Meals for the Homeless can only put aside 535,000 today to buy the new van in three years. However, she thinks that she can invest the money at 12 percent compounded quarierly Dedermine if she will hane the SSO,J0 she will need for the new van c) Assuming that Morduch can put aside $37,000 today and needs to have $50,000 availabe in three years,whar interest rate must be earned? Use quarterly compounding. d) Assame that Morduch believes that she can only eam 8 percent per year on the money that Meals for the Homeless invests. Assuming monthly compounding. how much must be put aside today to provide $50,000 in three years? e) Suppose Meals for the Homeless chooses to put aside money each quarter for three years to have $5000o to buy a van at the end of the three years. Assuming Meals can eam 8percent compounded quarterly, how much must it put aside each quarier? D Monduch is hoping to retire soon She can put aside $100,000 oday 5he believes that she can eam 7 pescent per year, with monthly compounding, and wants to have $1 million when she retires. How long will that be from now