You$$ve just won the $$1$ million lottery and are planning to further your education starting $2$ years from today. Your studies will last $3$ years and cost $$60,000$ a year in tuition and living expenses, available at the beginning of each year. You can invest the $$1$ million at a rate of $2\mathrm{.}5\%,$ compounded annually. How much of the $$1$ million should you set aside to attain your education goal?