Step 1 :Given the return series for large-company stocks over 5 years as follows: -5.28%, 25.45%, 18.16%, 28.7%, -19.78%.
Step 2 :Calculate the sum of these returns.
Step 3 :Divide the sum by the total number of years (5) to get the average return.
Step 4 :The average nominal return earned on large-company stocks is \(\boxed{9.45\%}\).