Write SQL query to solve given problem: What is the average, highest and lowest annual payments collected between 1/1/2003 to 12/31/2005?. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT CAST(SUM(T1.amount) AS REAL) / 3, MAX(T1.amount) , MIN(T1.amount) FROM payments AS T1 INNER JOIN customers AS T2 ON T1.customerNumber = T2.customerNumber WHERE T1.paymentDate BETWEEN '2003-01-01' AND '2005-12-31'