Peter hires Alice as an agent to sell a piece of property he owns

Peter hires Alice as an agent to sell a piece of property he owns. Then price is to be at least $30,000.00. Alice discovers that the fair market value of Peter’s property is actually at least $45,000.00 and could be higher because a shopping mall is going to be built nearby. Alice forms a real estate partnership with her cousin Carl. Then she prepares for Peter’s signature a contract for the sale of the property to Carl for $32,000.00. Peter signs the contract. Just before closing and passage of title, Peter learns about the shopping mall and the increased fair market value of his property. Peter refuses to deed the property to Carl. Carl claims that Alice, as Peter’s agent, solicited a price above that agreed on when the agency was created and that the contract is therefore binding and enforceable. Discuss fully whether Peter is bound to this contract.