Draperies do an excellent job in trapping air between the drape and the window glass, which serves as a natural insulator. The quality of the lining though really makes the difference in the amount of insulation the drapery offers your home. As an example, a drapery lined with interlining and a black-out lining can add over 300% better insulation than an unlined drapery.
Coupled with a Hunter Douglas Luminette Sheer Shade, as shown in the photo, means a warm room in winter and a cooler room in the summer. Window glass, even though it may be double paned, naturally heats up in the summer or cools down in the winter and the energy is radiated into the room making the room colder in winter and warmer in summer. Having the proper insulating shades and draperies over the window can mean your energy dollars will be saved - paying for the decorative products at the window over time. Seems a good way to spend your money when you remodel.
