An insurance company has a single liability due in three years. The company fully immunizes its position by purchasing one-year and fouryear zero-coupon bonds. The face value of the one-year bond is 20,000 and the face value of the four-year bond is 50,000 . Assume that the yield curve is flat. Calculate the amount of the liability. 40,000 55,699 69,624 73,333 97,500