Ethan, aged $50,$ wants to retire in $20$ years. Given his family history of longevity, he expects to live until age $95.$ Ethan currently earns $$80,000$ annually and expects to need about $90\%$ of this amount per year in retirement $.$ He anticipates an average return of $8\%$ on his investment portfolio and a $3\mathrm{.}5\%$ inflation rate $.$ Ethan has $$275,000$ currently invested for retirement $.$ His projected Social Security benefit at age $70$ is $ $28,000$ per year in today's dollars $.$ Using the annuity method $,$ how much should Ethan save each year at year end to ensure he meets his retirement objectives $?$