Final answer:
An Exclusive Agency agreement permits the homeowner to hire an exclusive agent while retaining the right to sell the property on their own and avoid paying the agent's commission if they find the buyer themselves.
Step-by-step explanation:
The type of listing agreement that allows the owner to appoint an exclusive agent to sell their property, but also retains the right to sell the property themselves, is known as an Exclusive Agency agreement. This type of agreement provides the owner with the flexibility of having a professional agent actively market the property while also seeking out buyers on their own. If the owner does find a buyer without the help of the agent, they are not required to pay the agent's commission. This differs from an Exclusive Right to Sell agreement, where the agent is due the commission regardless of how the property is sold.