Anna, an engineer, has made a considerable fortune. She wishes to start a perpetual scholarship for engineering students at her alma mater. The scholarship will provide a student with an annual stipend of $$2,500$ for each of four years, plus an additional $$5,000$ during the fourth year to cover job search expenses. Assume that students graduate in four years, a new reward is given every four years, and the money is paid at the beginning of each year with the first award at the beginning of Year $1.$ The interest rate is $8\%.$