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

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supply shocks is negative when persistence is high, <strong>and</strong> positive elsewhere. Given that all<br />

that is driving <strong>the</strong> model are non-persistent supply shocks, it is not entirely clear what <strong>the</strong><br />

economic rationale is for <strong>the</strong> high persistence <strong>of</strong> <strong>the</strong> terms <strong>of</strong> trade.<br />

Figures 9a <strong>and</strong> 9b, repeat <strong>the</strong> analysis <strong>of</strong> Figure 8 for greater investment adjustment<br />

costs (s 00 (1) = 2:5 as suggested by Christiano et al) <strong>and</strong> for <strong>the</strong> case <strong>of</strong> capital as opposed to<br />

investment adjustment costs (k t = (1 )k t 1 + ( xt<br />

k t 1<br />

)k t 1 where (x=k) = ; 0 (x=k) = 1<br />

<strong>and</strong> - 00 () = 2). This analysis suggest that <strong>the</strong> puzzling persistence is not a feature <strong>of</strong> <strong>the</strong><br />

adjustment cost parameter or how one modells adjustment costs.<br />

When shocks are small <strong>and</strong> temporary, one would expect <strong>the</strong> baseline incomplete <strong>market</strong>s<br />

model presented in this paper to closely resemble <strong>the</strong> complete <strong>market</strong>s model. Being able<br />

to borrow <strong>and</strong> lend is su¢ cient to share <strong>the</strong> risk arising from small <strong>and</strong> temporary countryspeci…c<br />

supply shocks. This can be shown using <strong>the</strong> link between <strong>the</strong> terms <strong>of</strong> trade <strong>and</strong><br />

relative supply in <strong>the</strong> incomplete <strong>market</strong>s model derived above:<br />

^y t ^y t =<br />

4v(1 v) +<br />

<br />

(2v 1)2<br />

<br />

(2v 1)<br />

^T 2<br />

<br />

t E t ^Tt+1 + (2v 1)E t ^Ct+1 ^C<br />

<br />

t+1<br />

(42)<br />

Assuming that shocks <strong>and</strong> <strong>the</strong> e¤ects <strong>of</strong> shocks are temporary such that E t ^Tt+1 = E t ^Ct+1 =<br />

E t ^C t+1 = 0, <strong>the</strong>n <strong>the</strong> above expression reduces to <strong>the</strong> relationship arising under complete<br />

<strong>market</strong>s:<br />

^T t =<br />

^y t<br />

^y t<br />

4v(1 v) +<br />

(2v 1)2<br />

<br />

where <strong>the</strong> transmission mechanism is positive for all positive values <strong>of</strong> .<br />

It is well known from Heathcote <strong>and</strong> Perri (2002) that <strong>the</strong> one-sector incomplete <strong>market</strong>s<br />

model departs form <strong>the</strong> complete <strong>market</strong>s allocation when shocks or <strong>the</strong> e¤ect <strong>of</strong> shocks<br />

are very persistent or permanent. In this case international borrowing <strong>and</strong> lending is not<br />

enough to ensure against such country-speci…c shocks. The analysis <strong>of</strong> Figure 8 suggests that<br />

even for non-persistent shocks, <strong>the</strong>re exists a very small range <strong>of</strong> values <strong>of</strong> that cause <strong>the</strong><br />

model to gene<strong>rate</strong> high terms <strong>of</strong> trade persistence <strong>and</strong> negative transmission <strong>and</strong> thus depart<br />

signi…cantly from <strong>the</strong> complete <strong>market</strong>s allocation. Outwith this range, for ei<strong>the</strong>r higher<br />

or lower values <strong>of</strong> , <strong>the</strong> model gene<strong>rate</strong>s very little persistence <strong>and</strong> shock transmission is<br />

positive, suggesting that <strong>the</strong> persistence <strong>of</strong> <strong>the</strong> response <strong>of</strong> <strong>the</strong> terms <strong>of</strong> trade is closely linked<br />

to model’s ability to gene<strong>rate</strong> a negative transmission mechanism. One can show that if <strong>the</strong><br />

(43)<br />

26

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