You want to buy a house within $3$ years, and you are currently saving for the down payment. You plan to save $$5,000$ at the end of the first year, and you anticipate that your annual savings will increase by $20\%$ annually thereafter. Your expected annual return is $6\%.$ How much will you have for a down payment at the end of Year $3?$ Do not round intermediate calculations. Round your answer to the nearest cent.