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Unit 14 : Exchange Rate : Meaning and Components



                                                                                                  Notes
         Italy        0.69   0.07  0.74 1.00
         Japan        0.51   0.07  0.55 0.46  1.00
         Netherlands  0.94   0.20  0.85 0.71  0.51       1.00
         Switzerland  0.80   0.14  0.76 0.61  0.55       0.80    1.00
         United       0.55   0.16  0.51 0.51  0.47       0.56    0.50     1.00
         Kingdom
         West Germany 0.93   0.18  0.84 0.69  0.56       0.96    0.85     0.53     1.00
                                             F  – S
                                              t  t
         Belgium      1.00
         Canada       0.55   1.00
         France       0.57   0.43  1.00
         Italy        0.59   0.43  0.51 1.00
         Japan        0.31   0.12  0.36 0.32  1.00
         Netherlands  0.54   0.40  0.31 0.49  0.49       1.00
         Switzerland  0.38   0.25  0.51 0.43  0.77       0.59    1.00
         United       0.45   0.36  0.31 0.47  0.65       0.74    0.63     1.00
         Kingdom
         West Germany 0.49   0.50  0.52 0.49  0.73       0.69    0.88     0.72     1.00

         a S   – S  is the four-week change in the spot exchange rate : F  – S   is the thirty-day forward rate
          t + 1  t                                        t  t + 1
         minus the spot rate observed four weeks later; F  – S  is the forward rate minus the current spot rate.
                                               t  t
                          Table 4: SUR regressions : 8/31/73–12/10/82, N = 122. a
                                                                         )
                                             )
                                   ˆ
                                                               ˆ
                                                                  F −
                                     F −
                       F – S   =  ˆ α +  β 1  ( t  S +  ε 1,t + , S  – S =  ˆ α +  β 2  ( t  S  ) t  +  ε 2, t + .
                                                                              1
                                          ) t
                                                 1
                                1
                                                            2
                        t   t + 1                   t + 1   t
                                      Part A : Unconstrained
                                               =
                                  ˆ
         Country            ˆ α 2  (= −α 1 )  β ˆ 2 ( 1 − β ˆ 1 )  s ( ) ˆ α      s () β ˆ
         Belgium             – 0.36           – 0.72              0.28            0.24
         Canada              – 0.26           – 1.04              0.11            0.59
         France              – 0.48           – 0.21              0.28            0.30
         Italy               – 1.08           – 0.44              0.32            0.24
         Japan                0.12            – 0.28              0.28            0.35
         Netherlands          0.10            – 0.78              0.27            0.25
         Switzerland          0.81            – 1.15              0.42            0.50
         United Kingdom      – 0.52           – 0.69              0.26            0.51
         West Germany         0.23            – 0.89              0.29            0.32
         F tests              1. All  β  (or  β ) equal  F = 0.73    P level = 0.66
                                     2
                                           1
                              2. All α  (or α ) equal    F = 5.14    P level = 0.0001
                                     2
                                           1
                              3. All  β  = 0.0 (or  β = 1.0)  F = 2.81  P level = 0.003
                                     2
                                               1

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