Before revision:  In the present work, novel third-order approximations for close-to-the-money European option prices under an infinite-variation CGMY L\'{e}vy model are derived, and are then extended to a model with an additional independent Brownian component.
After revision:  In the present work, novel third-order approximations for close-to-the-money European option prices under an infinite-variation CGMY L\'{e}vy model is derived, and are then extended to a model with an additional independent Brownian component.