Using the $4$ step annuity method solve:

Jordan, age $42,$ currently earns $$70,000.$ Her wage replacement ratio is $80$ percent. She expects that inflation will average $3$ percent for her entire life expectancy. She expects to earn $9\mathrm{.}5$ percent on her investments and retire at age $62,$ possibly living to age $90.$ Her Social Security retirement benefit in today$$s dollars adjusted for early retirement is $$15,000$ per year.

$1.$ Calculate Jordan$$s capital needed at retirement at age $62$ and the amount Jordan must save at the end of each year, assuming she has no current savings accumulated for retirement