You want to buy a house within 3 years, and you are currently saving for the down payment. You plan to save $10,000 at the end of the first year, and you anticipate that your annual savings will increase by 15% annually thereafter. Your expected annual return is 5%. 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.

$ ______