Although she is only $21$ years old, Kathy is already planning for her retirement. Kathy plans to graduate and then gain employment that will allow her to invest $$10,000$ towards retirement starting one year from today. Kathy expects to earn $11\%$ per year on any monies she invests towards her retirement. Kathy expects to invest towards retirement in the described fashion, starting one year from today, for each of the next $20$ years $($ie$,20$ years counting the first investment that will take place in a year. What is the value, today, of the amount of money Kathy is expected to have in her retirement account in $20$ years?two decimal places$).$