Apparatus for endovascularly replacing a patient's heart valve, including: a delivery catheter having a diameter of 21 french or less; an expandable anchor disposed within the delivery catheter; and a replacement valve disposed within the delivery catheter. The invention also includes a method for endovascularly replacing a heart valve of a patient. In some embodiments the method includes the steps of: inserting a catheter having a diameter no more than 21 french into the patient; endovascularly delivering a replacement valve and an expandable anchor to a vicinity of the heart valve through the catheter; and deploying the anchor and the replacement valve.