In this new paper, the central bank presents a range of interesting simulations. The chart below shows the RBA's model using actual Australian data between 1993 and 2007. It simulates the impact of a 25bps increase in the cash rate on output, inflation and the exchange rate. The authors find that this shock, "reduces the level of output by around 0.2 percentage points relative to baseline within two years, and lowers the quarterly inflation rate by around 0.02 percentage points after two years." What is surprising is how seemingly modest the effect is on inflation. What is also interesting is how long-lasting the influence is of an interest rate increase on output (up to 5yrs later) and the real exchange rate, which appreciates for up to 6yrs. Of course, it pays to remember that this is just a simulated estimation, that is heavily reliant on its assumptions.
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