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Exchange rate dynamics, asset market structure and the role of the ...

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Optimal capital accumulation equations<br />

^ t = ^A t ^k t 1 + ^l t (A12)<br />

^q t<br />

(1 + )s 00 () + 1<br />

(1 + ) ^x <br />

t 1 +<br />

(1 + ) ^x t+1 (v ') ^T 1<br />

t<br />

(1 + )s 00 () = ^x t (A13)<br />

^q t<br />

<br />

(1 + )s 00 () + 1<br />

<br />

(1 + ) ^x t 1 +<br />

(1 + ) ^x t+1 (v ' ) ^T 1<br />

t<br />

(1 + )s 00 () = ^x t (A14)<br />

Home <strong>and</strong> Foreign MPL equations<br />

(v 1) ^T t + ^A t + ( 1)^l t + (1 )^k t 1 = ^w t (A15)<br />

v ^T t<br />

c RSt + ^A t + ( 1)^l t + (1 )^k t 1 = ^w t (A16)<br />

Home <strong>and</strong> Foreign capital accumulation constraints<br />

^k t = ^k t 1 (1 ) + ^x t (A17)<br />

Home <strong>and</strong> Foreign production functions<br />

^k t = ^k t 1(1 ) + ^x t (A18)<br />

^y H;t = ^A t + (1 )^k t 1 + ^l t (A19)<br />

Home <strong>and</strong> Foreign economy-wide constraints<br />

^y F ;t = ^A t + (1 )^k t 1 + ^l t (A20)<br />

^y H;t = c H<br />

y H<br />

^c H + c H<br />

y H<br />

^c H + x H<br />

y H<br />

^x H + x H<br />

y H<br />

^x H<br />

(A21)<br />

Real exchange <strong>rate</strong><br />

^y F ;t = c F<br />

^c F + c F<br />

^c F + x F<br />

^x F + x F<br />

^x F<br />

y F y F y F y F <br />

(A22)<br />

cRS t = (v v ) ^T t (A24)<br />

33

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