The 1 year CD rate at Lone Star Bank has a new higher rate. The new 1 year CD rate is 1.24 percent with a yield of 1.25 percent. The old 1 year CD rate was 1.00 percent with a yield of 1.00 percent. See a history of interest rate changes to the 12 month certificate of deposit at Lone Star Bank by going to Lone Star Bank 1 Year CD Rate.