In September 1964, the first Ming dynasty vase was found after an excavation in Xian Province, China. The original price for the vase at that time was \($5,000.\) By September 2019, 55 years later, the value of the vase had risen to \($5,500,000.\) What annual rate of interest would you have earned if you, as an antique collector, had bought the vase in 1964 and sold it in 2019?