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Heterogeneous Beliefs in a Sticky-Price Foreign Exchange Model

Introduction

Theoretical framework

Expectations formations

Formal analysis of the model

Adjustment path to longrun equilibrium

Perfect foresight path

Simulations of the model

Concluding discussion

Appendix

References

Table and Figures

Heterogeneous Beliefs in a Sticky-Price Foreign Exchange Model

Appendix

Firstly, combine the equations that describe the money and the international asset markets in equilibrium, i.e., (1)( 2), and solve for the exchange rate:

(76)

Secondly, substitute the expectations formed by technical and fundamental analyses, i.e., (6) and (9), into market expectations in (4):

(77)

and, then, substitute the longperiod moving average in (7) into (77):

(78)

Thirdly, substitute (78) into (76):

(79)

and, then, solve for the exchange rate:

(80)

Fourthly, the exchange rate in longrun equilibrium, according to (15) and (19), is

(81)

which is substituted into (80):

(82)

Finally, substitute the weight function in (5) into (82), and (73) in Section 3.5 is derived.

By Mikael Bask and Carina Selander

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