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The Moulton Plane is the plane M = (R2, LM) such that a subset I of...
9. Let F: R2 R2 be a two-parameter family of 2D maps defined as I+y F: - (a+ 1)y3-br ay .m) -(:) where a, b are rea...
9. Let F: R2 R2 be a two-parameter family of 2D maps defined as I+y F: - (a+ 1)y3-br ay .m) -(:) where a, b are real parameters. a) Find the fixed points of F b) Draw the triangle of stability of the fixed point in the (a, b)-parameter plane. c) For which parameter range the fixed point is an attracting focus?
9. Let F: R2 R2 be a two-parameter family of 2D maps defined as I+y F: - (a+...
Assume the Chilean economy can be described as follows: C=200+0.25Yd l=150+0.25Y-1000r G=250 T=200 (M/P)d= L(r, Y)...
Assume the Chilean economy can be described as follows: C=200+0.25Yd l=150+0.25Y-1000r G=250 T=200 (M/P)d= L(r, Y) = 2Y- 8000r Ms=1840 P=1 a) Derive the equation for the LM curve. ( 1 .5 mk) b) Determine the slope af the LM curve. (0.5 mark) c) Derive the equation for the IS curve (I.S mk) d) Determine the slope ofthe IS curve. (0.5 mk) c) Compute the quilibrium values of income (Y) and interest rate (R)? (2 marks) [) Calculate the value...
b) Given reduced-form equations of a goods market (IS curve) and a money market (LM), respectively,...
b) Given reduced-form equations of a goods market (IS curve) and a money market (LM), respectively, as follows: Fl(Y“, i*; Co, M ) = Y* - Co-C(Y*, i*) = 0; F (Y', i; Ca, Mg) = L(Y', ) - M = 0; 0 < Cy <1, C; <0 Ly > 0, L < 0, where L(Y, i) is the demand for money, M, is the supply of money, Co is an autonomous consumption. i) Take the total differentials of both...
(a). Find the equation of the plane through Po = (1,2,1) with normal vector i =...
(a). Find the equation of the plane through Po = (1,2,1) with normal vector i = (3,1,2) (b). Find the equation of a plane through Po = (2,3,1) and parallel to the plane P:3x + 2y -- z = 4 | Q4. Consider the line z-3 y-2 3 L, : * - - - L2: **** 2+5 y-3 -1 2 (i). Write the equations of both lines in parametric form (ii). Find the direction vectors V1, V2 of the lines...
1. (The IS-LM-PC model): Assume the following relations characterize the goods market: (i) 1128 +...
1. (The IS-LM-PC model): Assume the following relations characterize the goods market: (i) 1128 +0.2Y 300(rt + xt) (iii)G,-215 :T t = 200 (iv)st= 0.15 or 15% e) Derive the IS curve (as a relation between Y and r). (b) Assume the LM curve is given by r 0.16 (ie. in period t, the central bank sets the real interest rate at 16%). What is the short-run equilibrium level of output (Yt )? (c) Suppose that L = 2000 and...
I need help with the last part of this questions with the new curve etc A=...
I need help with the last part
of this questions with the new curve etc
A= C + + G + X - M C = 0.75Y = 1200 - 50 G = 100 X = 300 M= 200 Y = A L = 0.25Y - 25i (M/P) = 250 L = (M/P) Derive the IS equation from the above model. Derive the LM equation from the above model. Derive the equilibrium levels of Income Y and Interest Rate i....
If the Fed lowers the discount rate i) What happens in the L-M diagram (liquidity preference)?...
If the Fed lowers the discount rate i) What happens in the L-M diagram (liquidity preference)? a. L left c. M/P left b. L right d. M/P right ii. As a result which curve shifts in the IS-LM diagram? a. IS down c. LM down b. IS up d. LM up iii. And what happens tor and Y? a. Y 1,r1 c. Y vir 1 b.Y 1,r d. Y vir If consumer confidence increases i) Which curve shifts in the...
ty=lm I * 1 x=-2cm 1 x=+2cm Refer to the image above: The current in the...
ty=lm I * 1 x=-2cm 1 x=+2cm Refer to the image above: The current in the long wire located at x=-2cm is increasing linearly at a rate of 100 A/s. The blue triangle is a loop of wire in the shape of a right triangle. (a.) What is the emf induced in the loop of wire? (b.) If the wire forming the loop has a resistance per unit length of 10 Ohms per meter, what is the magnitude and direction...
d 21. Consider the following IS-LM model: C = co +61 (Y – T) I =...
d 21. Consider the following IS-LM model: C = co +61 (Y – T) I = bo + b Y – bai M d¡Y – dzi Р M P Р a. where (b+c) <1 b. Derive IS equation. Derive and determine its sign. [5 points]- di di c. b. Derive LM equation. Derive and determine its sign. [5 points]- d. c. Assume that LM curve is ** dY t dY () M P =dY Solve for the equilibrium output and...
6. Hyperbolic half-plane model: Consider the line I with equation 2+y2 1 and the point P(2, V3). ...
6. Hyperbolic half-plane model: Consider the line I with equation 2+y2 1 and the point P(2, V3). Describe all the lines through P that are parallel to l. Your answer should be something like (x-a)2 + y2 = r2 with conditions on a and r and/or x = a with conditions on a.
6. Hyperbolic half-plane model: Consider the line I with equation 2+y2 1 and the point P(2, V3). Describe all the lines through P that are parallel to...
9. Let F: R2 R2 be a two-parameter family of 2D maps defined as I+y F: - (a+ 1)y3-br ay .m) -(:) where a, b are real parameters. a) Find the fixed points of F b) Draw the triangle of stability of the fixed point in the (a, b)-parameter plane. c) For which parameter range the fixed point is an attracting focus?
9. Let F: R2 R2 be a two-parameter family of 2D maps defined as I+y F: - (a+...
b) Given reduced-form equations of a goods market (IS curve) and a money market (LM), respectively, as follows: Fl(Y“, i*; Co, M ) = Y* - Co-C(Y*, i*) = 0; F (Y', i; Ca, Mg) = L(Y', ) - M = 0; 0 < Cy <1, C; <0 Ly > 0, L < 0, where L(Y, i) is the demand for money, M, is the supply of money, Co is an autonomous consumption. i) Take the total differentials of both...
(a). Find the equation of the plane through Po = (1,2,1) with normal vector i = (3,1,2) (b). Find the equation of a plane through Po = (2,3,1) and parallel to the plane P:3x + 2y -- z = 4 | Q4. Consider the line z-3 y-2 3 L, : * - - - L2: **** 2+5 y-3 -1 2 (i). Write the equations of both lines in parametric form (ii). Find the direction vectors V1, V2 of the lines...
1. (The IS-LM-PC model): Assume the following relations characterize the goods market: (i) 1128 +0.2Y 300(rt + xt) (iii)G,-215 :T t = 200 (iv)st= 0.15 or 15% e) Derive the IS curve (as a relation between Y and r). (b) Assume the LM curve is given by r 0.16 (ie. in period t, the central bank sets the real interest rate at 16%). What is the short-run equilibrium level of output (Yt )? (c) Suppose that L = 2000 and...
I need help with the last part
of this questions with the new curve etc
A= C + + G + X - M C = 0.75Y = 1200 - 50 G = 100 X = 300 M= 200 Y = A L = 0.25Y - 25i (M/P) = 250 L = (M/P) Derive the IS equation from the above model. Derive the LM equation from the above model. Derive the equilibrium levels of Income Y and Interest Rate i....
If the Fed lowers the discount rate i) What happens in the L-M diagram (liquidity preference)? a. L left c. M/P left b. L right d. M/P right ii. As a result which curve shifts in the IS-LM diagram? a. IS down c. LM down b. IS up d. LM up iii. And what happens tor and Y? a. Y 1,r1 c. Y vir 1 b.Y 1,r d. Y vir If consumer confidence increases i) Which curve shifts in the...
ty=lm I * 1 x=-2cm 1 x=+2cm Refer to the image above: The current in the long wire located at x=-2cm is increasing linearly at a rate of 100 A/s. The blue triangle is a loop of wire in the shape of a right triangle. (a.) What is the emf induced in the loop of wire? (b.) If the wire forming the loop has a resistance per unit length of 10 Ohms per meter, what is the magnitude and direction...
d 21. Consider the following IS-LM model: C = co +61 (Y – T) I = bo + b Y – bai M d¡Y – dzi Р M P Р a. where (b+c) <1 b. Derive IS equation. Derive and determine its sign. [5 points]- di di c. b. Derive LM equation. Derive and determine its sign. [5 points]- d. c. Assume that LM curve is ** dY t dY () M P =dY Solve for the equilibrium output and...
6. Hyperbolic half-plane model: Consider the line I with equation 2+y2 1 and the point P(2, V3). Describe all the lines through P that are parallel to l. Your answer should be something like (x-a)2 + y2 = r2 with conditions on a and r and/or x = a with conditions on a.
6. Hyperbolic half-plane model: Consider the line I with equation 2+y2 1 and the point P(2, V3). Describe all the lines through P that are parallel to...
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