A 20% down payment is required on a conventional loan to avoid PMI, (private mortgage insurance). Once you reach a 20% equity position in the home, a person can ask to have the PMI removed from the payment, (typically as long as they have paid on the PMI for a minimum of 2 years and have not been late with their payment for the most recent 12 months).
On an FHA loan, regardless of the down payment, mortgage insurance is required and on all new FHA loans, mortgage insurance is required for the entire length of the mortgage, regardless of the equity position.
Hope this helps. Please call me at 928-486-9946 and I will send you Lender information for Lake Havasu City, AZ