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 9 percent in his portfolio while he is working. However, he expects that he will only earn 7 percent in his portfolio during retirement. He expects inflation to continue at 3 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 6 2/3 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?