Assume that interest rates for one-year securities are expected to be 3 percent today, 6 percent one year from now, and 7 percent two years from now. Using only the pure expectations theory, what are the current interest rates on two-year and three-year securities?

First work with stencil one. use a combination of reflections, rotations, and translations to see whether stencil one will overlap with the original pattern. list the sequence of rigid transformations you used in your attempt, noting the type of transformation, the direction, the coordinates, and the displacement