When you reach retirement age, you would like to have enough money saved to be able to pay yourself an annual salary of

$70,000

per year for 20 years. To put this another way, your plan is to start your retirement with a large amount of money saved, and you will withdraw

$70,000

from these savings once a year for the next 20 years until all of your savings are depleted.

In the meantime, you are a 25-year-old new UIC graduate, and you plan on working for 40 years until you retire. To fund your retirementgoals, you plan on investing some money in the stock market. More specifically, at the end of each year until you retire, you are going to put part of your paycheck into the stock market; you'll put in the same dollar amount every year for the next 40 years.

You are a pretty decent stock investor, and you think you can make a

10%

return on the market each year you invest, both until you retire and after retirement.

What is the annuity payment (to the nearest dollar) you need to put into the stock market every year for the next 40 years to fully fund yourretirement?

Write your answer, without a dollar sign in front, rounded to the nearest whole dollar. (If you do this correctly, it might be a smaller number than you'd think!)