You want to save for retirement. Assuming you are now $30$ years old and you want to retire at age $55,$ you have $25$ years to watch your investment grow. You decide to invest in the stock market, which has earned about $11\%$ per year over the past $80$ years and is expected to continue at this rate. You decide to invest $$1,000$ today. Required: How much do you expect to have in $25$ years?