6. The dynamic system of the model of overshooting of exchange rate adjustment is i jump instantaneously) and x2 = p is domestic price level (sticky and cannot jump): Ax, where x1 = s is nominal exchange rate (can 0 2 -3 (a) State the characteristic equation and find the eigenvalues of A. (b) For the negative eigenvalue, find the corresponding eigenvector. (c) Given that p(0) = 1, find the rational expectations equilibrium time path (saddle path) of (s(t), p(t))'.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6. The dynamic system of the model of overshooting of exchange rate
adjustment is i
jump instantaneously) and x2
cannot jump):
Ax, where x1 = s is nominal exchange rate (can
is domestic price level (sticky and
2
-3
(a) State the characteristic equation and find the eigenvalues of A.
(b) For the negative eigenvalue, find the corresponding eigenvector.
(c) Given that p(0) = 1, find the rational expectations equilibrium time
path (saddle path) of (8(t), p(t))'.
Transcribed Image Text:6. The dynamic system of the model of overshooting of exchange rate adjustment is i jump instantaneously) and x2 cannot jump): Ax, where x1 = s is nominal exchange rate (can is domestic price level (sticky and 2 -3 (a) State the characteristic equation and find the eigenvalues of A. (b) For the negative eigenvalue, find the corresponding eigenvector. (c) Given that p(0) = 1, find the rational expectations equilibrium time path (saddle path) of (8(t), p(t))'.
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