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IS-PC-MR Model with Anchored Expectations

IS-PC-MR Model with Anchored Expectations
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2017-03-15 17:01
FunctionCoordinate GeometryProbability & Statistics
This example demonstrates the IS-PC-MR model with anchored expectations. Key mathematical concepts include equations, logarithmic functions, means, and statistical characteristics. Using GeoGebra commands such as IntersectPath, Point, Intersect, and Tangent, complex mathematical graphics are constructed. Suitable for high school and above mathematics education and research.

GeoGebra Commands & Parameters

  1. IntersectPath(xOyPlane, l) → l_o
  2. Point(l_o) → E_T
  3. Intersect(PC_0, pis, (6.1, 10.75)) → E_0
  4. Tangent(g_a, c) → g_b, g_c
  5. Intersect(c, g_b, 1) → A
  6. Intersect(h, xAxis) → C
  7. Intersect(PC_0, MR, (2.8600000000000003, 8.32)) → E_s
  8. Intersect(MR, PC_1, (2.86, 8.32)) → E_1
  9. Intersect(g_e, h) → E_2
  10. Point(MR) → E
  11. Intersect(MR, g_f, (4.772895999999999, 5.769472)) → E_3
  12. Intersect(MR, g_h, (5.25065344, 5.13246208)) → E_4
  13. Intersect(MR, g_i, (5.5564182016, 4.7247757312)) → E_5
  14. Intersect(IS, w_0, (6.1, 3.4800000000000013)) → R_0
  15. Intersect(IS, w_1, (2.86, 5.856000000000001)) → R_1
  16. Intersect(IS, w_2, (4.0264, 5.000640000000001)) → R_2
  17. Intersect(IS, w_3, (4.772895999999999, 4.453209600000001)) → R_3
  18. Intersect(IS, w_4, (5.25065344, 4.102854144000001)) → R_4
  19. Intersect(IS, w_5, (5.5564182016, 3.8786266521600012)) → R_5
  20. Intersect(IS, w_T, (6.1, 3.4800000000000013)) → R_T

AI Drawing Prompt Reference

Draw a macroeconomic diagram with IS, PC (two curves PC_0 and PC_1), and MR curves. Mark the initial equilibrium, target equilibrium, and several intermediate adjustment points, which are intersections of PC with MR, and IS with vertical lines representing different expectations. Include tangent lines from the initial point, and a horizontal line (anchored expectation) intersecting the PC curve. Label all key points with solid dots, use smooth curves, and clearly show axes.
The prompt above was compiled from the original drawing commands and is for reference only.