Can soeone help me with part b? Do I have to assume my life expectancy for this qustion?

I would appreciate if you solve it using formulas, not excel...

As a future graduate of the University of Minnesota's prestigious Carlson School of Management, someday you would like to endow a scholarship (meaning give the university money in your name) to pay for tuition expenses for future CSOM students. Assume you just graduated (congratulations!). You plan to work for fifteen years after graduation before endowing this scholarship (at the end of the fifteenth year AFTER graduation). Annual tuition at UMN is $10,000 today, and is expected to grow at the long term average rate of inflation of 3% per year forever. savings is expected to earn a return of 7% per year forever. 3. If the first tuition payment is due one year after the scholarship is endowed, and you would like the scholarship to pay all tuition for one student per year for the twenty years following the creation of the endowment, how much money do you need to endow the scholarship? a