Parker is $50$ and wants to retire in $15$ years. His family has a history of living well into their $90s.$

Therefore, he estimates that he will live to age $95.$ He currently has a salary of $$120,000$ and expects that

he will need about $65\%$ of that amount annually if he were retired. He can earn nine percent in his

portfolio while he is working. However, he expects that he will only earn seven percent in his portfolio

during retirement. He expects inflation to continue at three percent. Parker currently has $$350,000$

invested for his retirement. His Social Security benefit in today's dollars is $$30,000$ per year at normal

age retirement of age $67.$ His Social Security benefit will be reduced by $\frac{62}{3}$ percent for each year he

begins collecting before full age retirement. How much does he need to save each year to meet his retirement goals?

$$2,465.$

$$2,987.$

$$4,975.$

$$6,855.$