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  • Structural VAR with Orthogonalised Impulse Response Functions

    Hi,

    This might be a really basic question for some of you but I have been looking up how to interpret impulse responses but most of the answers that were presented did not quantify the responses but rather explained how the variables responded to structural shocks.

    In my model, I want to interpret the shocks in Oil prices to Real GDP. Due to the series being integrated of order (I), I logged these variables and then first differenced them. However, after generating the impulse response functions, I am having trouble with the interpretation and whether or not the result is significant. For this example, I want to examine the impact of an oil price shock to real GDP? Does it mean, a 1% point increase in oil prices leads to _ _ _ % point increase/decrease in GDP?

    Code:
    quietly var Dlprod Dlrea Dlop Dlrgdp Dinf Dlexc, lags(1)
    irf create Dvar1, set (Dvar1) step(8)
    irf graph oirf, impulse(Dlop) response(Dlrgdp)
    These are the variables.

    Code:
    * Example generated by -dataex-. To install: ssc install dataex
    clear
    input float(quarter Dlprod Dlrea Dlop Dlrgdp Dinf Dlexc)
     80           .          .          .          .           .          .
     81  -3.5614014   21.27188   -.366044  -4.316902    2.503651 -.08628368
     82   -1.580906 -9.3294115  -8.054447  -2.895641   2.0455003 -2.0701766
     83   -3.905678  11.385426  17.828773   8.399487    .8228207  3.7534475
     84    2.488899 -3.9214146 -4.7052145  -1.137352     1.62337   6.241119
     85  -2.1674156 -17.736504 -10.607576 -2.2613525   -.7381243   6.047547
     86   -4.679394  -20.63615  -5.337715 -1.5737534   -.4310148   6.826341
     87    .1235962  -7.688273   5.288005   5.860233  -1.1944033 -4.1271687
     88  -1.5400887  -12.69482  -8.884788  -1.995945  -.48498535  1.9032836
     89  -2.8642654   .7563127  4.5670033  -2.524471   -.8472849   2.091241
     90   2.0044327  -37.88605  -.9387732  -.9765625  -.19893816   8.882523
     91    2.977276  13.620292  -.6835461   6.259918    .7637694   7.321393
     92   -7.004642  10.261118   -8.00426  -.9399414   -1.834847  -.5073905
     93    2.050209  1.1093835  1.0914087   .7008553   -.6644893   .8375525
     94    4.874039 -20.986546   2.732563 -1.7912865  -1.3179516  3.2039404
     95    .1842499   6.094514 -4.5812845   6.514645   -.5009662  1.3346195
     96  -.27475357   3.264539  1.0084867    .942421    -.979468   2.453232
     97    .5511284   5.624531  .27327538 -2.0303726   .16417363   .6761789
     98  -1.7630577  -9.404474 -4.0613413  2.0859718   -.3391408   7.764363
     99   .28762817   7.612477 -2.3606777   4.980183   -.1692508   5.618048
    100   -.3787041  -5.470981  -.4496574  1.1543274  -.27414608   5.679584
    101  -2.3112297 -1.1720886 -1.5342474  -3.608227   .06894309  -5.182862
    102    .2131462  -25.89348   .5304575  1.8979073  .019889154  -6.399655
    103    6.078339  16.199266  3.5532236   6.870365   -.1504912  -6.899428
    104  -1.2742996  -11.91052   -49.2239  -2.629471    .1398328  -6.177926
    105   1.4677048 -17.468552  -32.13961 -.57058334   .28220645  1.1311531
    106   2.0018578  -5.437137          0 -.07314682   1.9575448 -.21862984
    107   -2.536392  17.804308  16.257263   7.444286    .7993081  1.1133432
    108  -1.9616127  12.202985  19.018364  -4.241371   1.1553462  -5.986404
    109    .6961823  15.999536   3.786588   .3426552   -.2632084 -4.7186255
    110    5.217457    .171016   2.946901  -3.904152    -1.80022  .28271675
    111   -.3912926  13.320133  -6.451511   9.070873   -.4852419  -3.897548
    112   -1.266098   23.66103 -11.970901 -3.8051605   -.3382464 -1.6815186
    113   .48418045  -8.147742   2.114606  -3.488922  -.05461295 -1.7273188
    114   1.7139435 -12.503026 -13.296938  -.9062767   -.4068208   8.864713
    115   4.4962883  14.290818  -6.906033   6.791592   -.5988197  -3.344822
    116   -4.605198  10.090512  25.841665  -5.028057  -1.3222104   1.683426
    117    .8478165 -1.9887235   8.156276  2.2555351 -.016248424  4.1544795
    118    1.911831 -11.435586  -5.910301 -2.4207115    -.159935   .4276037
    119   2.1557808  11.969423   7.254767   7.222748  -.21699703 -2.7472496
    120  -.12311935   -.435745   3.893995  -2.434349  .064706445 -4.6969533
    121   -.3965378 -20.244116 -20.725727 -2.5891304   -.5352536  -.6798387
    122   -3.584957 -13.706973   48.35284 -1.1367798 -.026493566  -5.305231
    123    2.464962  11.673787  18.918371    8.31728    .7205932  -4.859436
    124    .0743866  17.598938  -44.57832   -3.19252    -.624119  1.8657684
    125  -2.3163795   4.360292  -7.966495  1.3855934  -.09950262  12.299943
    126   1.5841484  -8.160953   5.793595  -2.881718   -.3029495   .8721352
    127   1.1842728    3.26201  2.2568226   6.528664   -.9227142  -6.388617
    128   -.5056381 -17.664976  -12.64615    .262928    -.235843  -.5768895
    129   -1.706028 -10.726147   11.71906 -3.0332565   .08376388  -.6651998
    130   .55150986 -12.648213  1.5793324   .8387566  -.11639638  -8.576798
    131   1.4642715  12.127905  -5.341005   5.217743  -.06327721   9.891403
    132  -.08001328  11.635007  -5.233955  -3.020191    .3614076   8.356285
    133  -1.7170906  13.089548 .018525124 -1.2756348   -.1864905  -1.551175
    134    .6093025 -10.519378    -10.499   1.605034  -.26853305   5.739963
    135    .9690285  -7.333334  -7.940865   9.344959  -.16460283  1.0073781
    136    .7410049 -10.070403  -7.587433  -4.366684   -.7418476  1.5948415
    137  -.29649734  15.256085  15.959454    .847435  -.26816398  -3.184819
    138   .15182495   6.766533  4.6827316  -2.486992    .5646817  -5.193007
    139    1.778221  24.672945  -2.654672   9.761047    .2017622 -1.6186953
    140  -.10061264   8.848517  3.6661625  -2.917862    .9194045 -3.2115936
    141    .3125191   4.494567   5.387354 -3.1635284  .033250786 -4.4647813
    142    .9683609  -6.959984  -10.04212   2.602291   -.3688772  1.0604978
    143    .3537178 -19.592417  3.2122374   7.105446   -.1604253  -.3875852
    144    .7936478 -13.858634   7.578969 -1.1328697   -1.267848  2.1550179
    145 -.010108948  -5.717646   6.210089 -3.0052185   .09279093  1.8499613
    146     .338459  -24.72658    5.70159  2.9580116    .3933002  -1.876986
    147   1.6378403  21.819086  11.149788   4.030895    .3908738   .3127813
    148   1.0835648    7.81161  -8.976126 -1.7730713    1.288968    2.99412
    149   -.0919342 -10.347562 -13.125277   3.354168   -.3671627   6.529093
    150    .6411552 .016839333    .897336 -2.5523186   -.4056301   5.278087
    151   1.3442993  -3.587861   .9778738    7.63483  -.06284544  -4.578638
    152   1.8574715 -17.088844  -28.53258  -1.279831  -.07036417   5.636358
    153   -.7968903 -10.757398  -6.439734  -2.697754   .08619802  -.3437281
    154  -1.6814232  -13.08358 -2.1053314  -2.005291   .04336648   1.630497
    155    .5273819  10.483965 -9.2877865   6.525898   .03437156 -1.9602537
    156    .7332802  -6.893462   -1.75941  -2.033615  -.06871117  2.2954226
    157  -3.0688286  13.174582   31.97281 -2.3492813   .22185943  1.7477036
    158   1.0526657   5.977685   24.31948  1.3630867  -.42495185   .5753994
    159    .3252983   23.65044  15.230894   7.452679     .635814   .6227255
    160    1.356125   7.981205   11.15718 -.06017685   .20604932   4.070139
    161    1.726532  10.235437  .56197643   -6.03199   .02448303   6.567001
    162   1.7752647  1.8265775  11.014366   .8555412    .5073769  1.9916296
    163    .9736061    1.66046  -.7164478   6.538296   -.3121837   3.298044
    164  -1.1986732 -11.228832 -12.935114  -.5785942    .4127289 -4.0249586
    165  -2.3813248  -6.635313  2.4876595 -4.5614243    .4161568   3.201628
    166    .9342194     -31.22  -5.828905  1.0370255    -1.38022 -2.0018816
    167   -.3803253 -16.602625 -26.657724   6.894302  -.54820776 -1.0724306
    168  -1.3516426   11.97133    8.00693  -4.633999   -.9773316  .09560585
    169   -.4775047   4.733926  18.611122  2.1159172  -.56555325  -8.499837
    170    .8533478   1.797579   6.651235  -3.976345    .9514818  -8.406281
    171   1.8037796   34.65791  -.7452488   7.687569    .8089243  -2.767825
    172    .8569717  14.711061  15.875292  -2.139473    2.376654  -3.637564
    173   -.6990433  21.599167 -16.814756  -4.574585   -2.358829  -.6904006
    174    .8543015   7.306918    6.91607  1.1060715   -.3375081   4.578185
    175   2.9878616   63.04437   3.383112   6.490231   -.6932737    -5.8622
    176    .9285927  19.107704   9.015703  1.4725685   -2.642757  -.1775503
    177   .26216507  -38.24028  10.330415  -3.930473   2.2560117  -.6779671
    178   1.3513565   10.88041  12.952352 -1.8507004    .3781398  .04857779
    179    .5133629  23.166685   5.228329   8.005524  .035423394   -8.03665
    end
    format %tq quarter

    Thank you.
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