Suppose we are now approaching the end of Year 2022, and Lilly is saving to buy an apartment in Baara in 12 years. The estimated price of the house at the time of purchase is $1,500,000 and Lilly plans to put down a 25% down payment. Suppose that Lilly can invest her savings in a local bank that pays a 6.25% interest rate per year. a. Calculate the amount that Lilly will need to invest today to reach her investment goal in the future. b. Determine the amount of money that Lilly will need to invest each year in order to reach her investment goal.