Forecasting UK inflation within the presence of huge world shocks – Financial institution Underground

Dario Bonciani and Johannes Fischer

The UK financial system has been hit by vital terms-of-trade shocks, most notably the rise in vitality costs following the Russian invasion of Ukraine. These shocks have created substantial and protracted inflationary strain in lots of international locations. Such upheavals convey elevated uncertainty concerning the future, making macroeconomic forecasting more difficult. On this publish, we assess the forecasting efficiency of a cutting-edge empirical mannequin, of the sort generally employed in educational analysis and coverage establishments. This mannequin will not be used to supply the Financial Coverage Committee’s (MPC’s) forecast however has been used periodically inside the Financial institution of England together with as a cross-check to the primary forecast. Particularly, we assess its efficiency in predicting UK inflation out of-sample at key dates across the begin of the conflict in Ukraine. The mannequin performs properly in forecasting short-term inflation, however it struggles to completely seize inflation persistence over the long term.

Methodology

To conduct our forecasting evaluation, we’ve got employed a Bayesian Vector Autoregressive (BVAR) mannequin. Most of these fashions have gained widespread recognition in academia and central banks for his or her flexibility and powerful forecasting talents, as evidenced by research like Bańbura et al (2010) and Angelini et al (2019).

In essence, this empirical framework encompasses a sequence of linear equations designed to mannequin the interdependencies and dynamics of macroeconomic variables. Additional particulars on BVARs might be discovered right here. Our specification consists of 20 variables. Amongst these, 15 are particular to the UK financial system, together with the patron costs index (CPI), actual gross home product (GDP), the Financial institution Fee, and particular elements of CPI, resembling vitality and meals. Moreover, we incorporate world variables within the mannequin, together with world actual GDP, world commerce, and world CPI. Our mannequin specification was utilized in a current speech by Catherine L Mann, an exterior member of the Financial institution of England’s MPC. In her speech, she highlights how together with durations of excessive inflation, resembling 2022 Q1–2023 Q2, within the estimation pattern impacts the inflation forecasts of the BVAR.

The BVAR mannequin depends on historic regularities between the included variables to supply forecasts. To seize these historic regularities, we estimate the mannequin parameters utilizing quarterly information from 1992 to 2019. To supply our BVAR forecasts, we make the extra assumption that the vitality and meals CPI elements within the mannequin are anticipated to comply with precisely the identical path as implied by real-time market futures curves (which might be influenced by monetary market members’ expectations about future costs). This assumption allows our mannequin to think about details about the newest occasions affecting meals and vitality costs. This assumption is important as we would like the mannequin to have all the data out there at every time limit. Utilizing the estimated historic regularities together with real-time info on the futures curves for vitality and meals costs, we then generate out-of-sample inflation forecasts at numerous deadlines. On this publish, we concentrate on the forecasts implied by the mannequin earlier than and after the onset of the Ukrainian battle.

Empirical mannequin estimated on pre-pandemic information

Chart 1 presents three panels illustrating inflation forecasts based mostly on real-time information at two distinct time factors: 31 January 2022 and 30 April 2022. The purple strains characterize the BVAR forecasts, whereas the dashed strains depict the evolution of precise inflation. For comparability, we additionally embody the median inflation forecast from the Market Members Survey outcomes as inexperienced dots. Lastly, the shaded areas denote the statistical uncertainty surrounding the BVAR forecasts.

Chart 1: Evaluating inflation forecasts at totally different deadlines

In January 2022, as the specter of the Russian invasion turned extra seemingly, the BVAR forecast (higher Chart 1 panel) projected inflation to peak at 8% in November 2022. Compared, skilled forecasters anticipated inflation to peak at 6%, 2 share factors decrease than the BVAR.

Two months after the start of the Russian invasion, in April 2022 (decrease Chart 1 panel), each the BVAR {and professional} forecasters had adjusted their forecasts upwards to replicate the rise in vitality costs. Within the brief time period (the primary two quarters), the BVAR mannequin carefully tracked realised inflation. Nevertheless, inflation proved extra persistent than the mannequin’s historic regularities and futures curves about meals and vitality costs may predict. The hole between the forecast of the BVAR and that {of professional} forecasters that existed in January disappeared nearly utterly by the top of April. One potential rationalization for the preliminary distinction in forecasts (and its disappearance) may very well be that skilled forecasters had not thought of the Russian invasion of Ukraine to be as seemingly as monetary market members had. Lastly, skilled forecasters additionally didn’t anticipate inflation remaining excessive for an prolonged interval.

Total, the BVAR mannequin’s forecasts implied excessive charges of inflation earlier than the Russian invasion of Ukraine however missed realised inflation by a number of share factors. As soon as the Russian invasion had begun, the inflation peak of the BVAR forecast is near the eventual peak.

Together with post-pandemic info

Lastly, we examined whether or not the persistent charges of inflation seen over the previous two years could considerably have an effect on future BVAR forecasts, as argued within the above-mentioned speech by Catherine L Mann. To take action, we re-estimated the mannequin with information that features the run-up in inflation up till 30 April 2023, excluding the outlier information through the pandemic years (2020–21), as per the methodology in Cascaldi-Garcia (2022). The out-of-sample forecast with the info out there at this time limit barely elevated the inflation persistence. Apparently, over the complete forecast horizon, the predictions from the BVAR mannequin {and professional} forecasters aligned very carefully.

Chart 2: Does post-pandemic information have an effect on the inflation forecast?

Conclusion

Returning to our preliminary query, to what extent a linear mannequin can predict inflation within the face of huge terms-of-trade shocks. Previous to the conflict in Ukraine the mannequin forecasted inflation considerably under its eventual realisation. This isn’t shocking as a result of the mannequin couldn’t have foreseen the extent of the vitality worth enhance related to the conflict. Following the beginning of the conflict, when the vitality worth enhance was realised, the BVAR mannequin carried out properly in forecasting inflation within the nearer time period regardless of its relative parsimony. Nevertheless, it struggled to completely seize the inflation’s persistence over the long term. Utilizing information realisations from 2020 onwards to estimate the BVAR parameters can probably assist higher seize the persistence of inflation sooner or later. Our evaluation suggests {that a} linear mannequin such because the BVAR can nonetheless show to be sturdy for forecasting even in a turbulent macroeconomic setting.

Dario Bonciani and Johannes Fischer each work within the Financial institution’s Financial Coverage Outlook Division.

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