Jordan, age 46, currently makes $143,000. She expects that inflation will average 2.75 percent for her entire life expectancy. She expects to earn 8.5 percent on her investments and retire at age 65 and live to age 92. She has sent for and received her Social Security benefit statement, which indicated that her Social Security retirement benefit in todays dollars adjusted for early retirement is $20,000 per year. It is reasonable to subtract the Social Security benefit from todays needs because it is inflation adjusted.

Calculate the amount of capital Jordan will need at retirement according to the purchasing power preservation model.