Mr. Clark makes a deposit at the beginning of every six months into a savings account that earns interest at 3.7% compounded semi-annually. He saves for eight years, then converts his savings into an annuity that pays him $2,000 at the beginning of every six months for eleven years. What is the size of the deposit he makes while he is saving?

The size of the deposit is $...

(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)