Lens for projection and projection-type display apparatus

A lens for projection substantially consisting of five lenses, wherein a negative first lens having a concave surface facing the reduction side of the lens for projection, a positive second lens having a convex surface facing the magnification side of the lens for projection, a negative third lens having a concave surface facing the magnification side, a positive fourth lens having a convex surface facing the reduction side, and a positive fifth lens are arranged in this order from the magnification side, and

• wherein the following formulas (A) through (D) are satisfied at the same time:
• 1.2≦Bf/f≦2.5 (A);
• −3.0f3F/f−0.8 (B);
• 1.4≦f5F/f5≦8.5 (C);
• and
• 1.0≦d12/f≦2.7 (D), where
• Bf is a back focus in air of the entire system of the lens for projection,
• f is the focal length of the entire system of the lens for projection,
• f3F is the focal length of a magnification-side surface of the third lens,
• f5F is the focal length of a magnification-side surface of the fifth lens,
• f5 is the focal length of the fifth lens, and
• d12 is an air space between the first lens and the second lens.