{"title":"Robust Real-Time Estimates of the German Output Gap Based on a Multivariate Trend-Cycle Decomposition","authors":"Tino Berger, Christian Ochsner","doi":"10.1002/for.70079","DOIUrl":"https://doi.org/10.1002/for.70079","url":null,"abstract":"<div>\u0000 \u0000 <p>The German economy is an important economic driver in the Euro area in terms of gross domestic product, labor force, and international integration. We provide a state of the art estimate of the German output gap between 1995 and 2022 and present a nowcasting scheme that accurately predicts the German output gap up to 3 months prior to a gross domestic product data release. To this end, we elicit a mixed-frequency Bayesian vector-autoregressive model (MF-BVAR) using monthly information to form an expectations about the current-quarter output gap. The mean absolute error of the MF-BVAR nowcast compared to the final estimate is very small (0.28 percentage points) after only 1 month of observed data. Moreover, we show that business and consumer expectations, international trade, and labor market aggregates consistently explain large shares of variation in the German output gap. Finally, the MF-BVAR procedure is very reliable, as it implies an output gap that is hardly revised ex post. This is particularly important for policymakers.</p>\u0000 </div>","PeriodicalId":47835,"journal":{"name":"Journal of Forecasting","volume":"45 3","pages":"1129-1144"},"PeriodicalIF":2.7,"publicationDate":"2026-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147565305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Data-Driven Prediction of Climate Variables in Agricultural Cities of India With Hybrid GA-TCN-LSTM Model","authors":"Anil Utku","doi":"10.1002/for.70088","DOIUrl":"https://doi.org/10.1002/for.70088","url":null,"abstract":"<div>\u0000 \u0000 <p>Accurate prediction of climate variables is important in reducing the effects of natural disasters and taking preventive measures for agriculture and food security, energy sector, public health, and water resources management. For agricultural production, it is essential for producers to determine strategies for their agricultural activities and to increase agricultural productivity. Issues such as determining planting and harvest times, determining pesticides to be used against agricultural pests, selecting products to be planted, irrigation, and sustainable agriculture are directly related to climate variables. In this study, a GA-TCN-LSTM hybrid prediction model was created to determine climate variables such as relative humidity, temperature, wind speed, and dew point in Bhopal, Indore, Kanpur, Ludhiana, and Patna, which are among the prominent cities of India in terms of agricultural production. The hyper-parameters of the developed model using the temporal convolutional networks (TCN) and long short-term memory (LSTM) were optimized with the genetic algorithm (GA), and the GA-TCN-LSTM hybrid model was created. GA-TCN-LSTM was extensively compared with the base TCN-LSTM, convolutional neural network (CNN), LSTM, TCN, and CNN-LSTM. The compared models were tested using approximately 15 years of hourly, up-to-date, and real-time data of the cities. Experiments showed that GA-TCN-LSTM outperformed the compared models and had above 0.9 R-Squared (R<sup>2</sup>) for the majority of cities and climate variables.</p>\u0000 </div>","PeriodicalId":47835,"journal":{"name":"Journal of Forecasting","volume":"45 3","pages":"1225-1244"},"PeriodicalIF":2.7,"publicationDate":"2026-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147566071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"GDP Nowcasting With Artificial Neural Networks: How Much Does Long-Term Memory Matter?","authors":"Kristóf Németh, Dániel Hadházi","doi":"10.1002/for.70061","DOIUrl":"https://doi.org/10.1002/for.70061","url":null,"abstract":"<div>\u0000 \u0000 <p>We apply artificial neural networks (ANNs) to nowcast quarterly GDP growth for the US economy. Using the monthly FRED-MD database, we compare the nowcasting performance of five different ANN architectures: the multilayer perceptron (MLP), the one-dimensional convolutional neural network (1D CNN), the Elman recurrent neural network (RNN), the long short-term memory (LSTM) network, and the gated recurrent unit (GRU). The empirical analysis presents results from two distinctively different evaluation periods. The first (2012:Q1–2019:Q4) is characterized by balanced economic growth, while the second (2012:Q1–2024:Q2) also includes periods of the COVID-19 recession. During the first evaluation period, longer input sequences slightly improve nowcasting performance for some ANNs, but the best accuracy is still achieved with 8-month-long input sequences at the end of the nowcasting window. Results from the second test period depict the role of long-term memory even more clearly. The MLP, the 1D CNN, and the Elman RNN work best with 8-month-long input sequences at each step of the nowcasting window. The relatively weak performance of the gated RNNs also suggests that architectural features enabling long-term memory do not result in more accurate nowcasts for GDP growth. The combined results indicate that the 1D CNN seems to represent a “sweet spot” between the simple time-agnostic MLP and the more complex (gated) RNNs. The network generates nearly as accurate nowcasts as the best competitor for the first test period, while it achieves the overall best accuracy during the second evaluation period. Consequently, as a first in the literature, we propose the application of the 1D CNN for economic nowcasting.</p>\u0000 </div>","PeriodicalId":47835,"journal":{"name":"Journal of Forecasting","volume":"45 3","pages":"924-963"},"PeriodicalIF":2.7,"publicationDate":"2026-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147568597","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Combined Effects of Fat-Tail and Spread Forecasting on Pairs Trading: A Hybrid Model Based on Integrating VAR With GRU Models","authors":"Yuhee Kwon, Youngsoo Choi","doi":"10.1002/for.70074","DOIUrl":"https://doi.org/10.1002/for.70074","url":null,"abstract":"<p>Pairs trading, a popular algorithmic trading strategy, exploits the short-term price difference (spread) between two comoving assets. Empirically, the spread distribution of most assets in pairs trading has a fat-tail characteristic that does not follow a normal distribution. However, existing trading strategies did not consider these characteristics and attempted to improve performance by applying complex machine learning techniques. This paper targets cryptocurrency assets that show the fat-tail characteristics of the spread distribution well due to their high volatility and presents a new hybrid model that can solve these characteristics in machine learning, namely, VAR-GRU-QT (Vector AutoRegression–Gated Recurrent Unit–Quantile Transform). The VAR-GRU model is proposed for spread prediction, whereas the QT-based pair trading strategy seeks to capture trading signals. The empirical analysis results show that the VAR-GRU-QT model improves prediction performance over the comparative model and significantly improves pairs trading performance. In addition, it was confirmed that as the threshold of the trading signal increases, the fat-tail effect appears more prominently in the hybrid model. In conclusion, by considering the non-Gaussian distribution of the spread, the prediction accuracy of the hybrid model is improved, and by additionally applying the quantile-based trading methodology, the trading performance of the pair trading strategy is significantly improved over the comparative model.</p>","PeriodicalId":47835,"journal":{"name":"Journal of Forecasting","volume":"45 3","pages":"1110-1128"},"PeriodicalIF":2.7,"publicationDate":"2026-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/for.70074","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147565227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Risk Spillover Network in Commodity Markets Under Climate Transition Risk","authors":"Zhihong Niu, Yan Wang","doi":"10.1002/for.70072","DOIUrl":"https://doi.org/10.1002/for.70072","url":null,"abstract":"<div>\u0000 \u0000 <p>The article constructs a connectivity network based on the dynamic conditional correlation generalized autoregressive conditional heteroskedasticity (DCC-GARCH) model and spillover index method, systematically revealing the risk contagion effects within China's commodity markets under the context of climate transition. In the long run, the energy and chemical markets act as risk spillover transmitters in the commodity system, while the metal and agricultural markets function as risk receivers. Gold typically passively absorbs risk spillovers from other markets during risk events, presenting a structure of “receiving more and spilling less.” However, in the short term, the risk roles of markets undergo shifts in response to changes in macroeconomic conditions. The risk roles of different markets exhibit significant time-varying characteristics, and the network structure experiences dynamic reconstruction under the impact of specific events. In terms of policy recommendations, for spillover industries, it is crucial to promptly identify potential systemic risk sources to prevent high-carbon industries from generating transition risks. For risk-receiving industries, their risk-mitigating role during market turbulence should be fully utilized. Additionally, attention should be given to the potential risks associated with the transformation of risk roles during extreme events or changes in macroeconomic policies.</p>\u0000 </div>","PeriodicalId":47835,"journal":{"name":"Journal of Forecasting","volume":"45 3","pages":"1036-1051"},"PeriodicalIF":2.7,"publicationDate":"2026-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147562403","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Mortality Forecasting Using Variational Inference","authors":"Patrik Andersson, Mathias Lindholm","doi":"10.1002/for.70078","DOIUrl":"https://doi.org/10.1002/for.70078","url":null,"abstract":"<p>This paper considers the problem of forecasting mortality rates. A large number of models have already been proposed for this task, but they generally have the disadvantage of either estimating the model in a two-step process, possibly losing efficiency, or relying on methods that are cumbersome for the practitioner to use. We instead propose using variational inference and the probabilistic programming library Pyro for estimating the model. This allows for flexibility in modelling assumptions while still being able to estimate the full model in one step. The models are fitted on Swedish mortality data, and we find that the in-sample fit is good and that the forecasting performance is better than other popular models. Code is available online (https://github.com/LPAndersson/VImortality).</p>","PeriodicalId":47835,"journal":{"name":"Journal of Forecasting","volume":"45 3","pages":"1069-1076"},"PeriodicalIF":2.7,"publicationDate":"2026-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/for.70078","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147563213","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Exploiting Functional Time Series Prediction for PM2.5 Based on Multivariate Variational Mode Decomposition and Anomaly Detection","authors":"Zhifu Tao, Weiying Liu, Qin Xu, Piao Wang","doi":"10.1002/for.70075","DOIUrl":"https://doi.org/10.1002/for.70075","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper presents a novel approach to high-frequency time series forecasting in the context of functional time series, addressing challenges such as data complexity and outliers. The proposed hybrid model integrates outlier detection, multivariate variational mode decomposition (MVMD), and model pooling to enhance forecasting accuracy. Initially, outliers are identified using the isolation forest technique and subsequently replaced with smoothed values via a sliding window moving average. MVMD is then employed to decompose the time series into high-, mid-, and low-frequency components, based on sample entropy. Discrete daily observations are transformed into functional data using Fourier basis functions, and functional principal component analysis (FPCA) is applied for dimensionality reduction, generating principal component scores and functions. Forecasting is carried out through model pooling, which combines statistical, machine learning, and deep learning techniques to predict the principal component scores. The final prediction is obtained by aggregating the forecasts of the predicted scores and their corresponding principal component functions. Empirical results, based on PM2.5 forecasting, demonstrate that the proposed approach significantly outperforms alternative models, offering valuable contributions to air quality monitoring and informed decision-making.</p>\u0000 </div>","PeriodicalId":47835,"journal":{"name":"Journal of Forecasting","volume":"45 3","pages":"1077-1091"},"PeriodicalIF":2.7,"publicationDate":"2026-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147564167","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Obtaining Conservative Assessments of Profitability for Current Period Based on Target-Adjusted Achievable Capacity Index With SARIMA Prediction","authors":"Rung-Hung Su, Yi-Hung Kung, Yi-Hung Lee","doi":"10.1002/for.70085","DOIUrl":"https://doi.org/10.1002/for.70085","url":null,"abstract":"<div>\u0000 \u0000 <p>The achievable capacity index (ACI) is an effective tool for measuring and estimating the profitability of a single-period product, where profitability is the probability of achieving a target profit under optimal ordering quantity. Setting a reasonable target profit (or corresponding target demand) is crucial, as it can impact profitability measurements and result in misguided decision-making for the next period, especially when demand fluctuates over time. This study applies the seasonal autoregressive integrated moving average (SARIMA) to time-series data to account for time dependencies in predicting target demand for the next period. We then developed a new ACI, referred to as t-ACI, which incorporates the predicted target demand. In estimating the t-ACI, we may encounter the risk of overestimation due to sampling error. Therefore, we derived the lower confidence bound for the t-ACI (LCBtA) to provide a conservative assessment of profitability. Finally, we explore the conservative profitability evaluation using LCBtA to identify profitable products. Some generic tables and procedures of decision-making for evaluation are provided. Regarding insights and implications, variations in Type-I errors for prediction and estimation significantly influence the direction of decision-making in evaluations. For instance, increasing the Type-I error for estimation or decreasing it for prediction can positively steer the evaluation.</p>\u0000 </div>","PeriodicalId":47835,"journal":{"name":"Journal of Forecasting","volume":"45 3","pages":"1145-1157"},"PeriodicalIF":2.7,"publicationDate":"2026-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147565969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Data-Driven Prediction of Climate Variables in Agricultural Cities of India With Hybrid GA-TCN-LSTM Model","authors":"Anil Utku","doi":"10.1002/for.70088","DOIUrl":"https://doi.org/10.1002/for.70088","url":null,"abstract":"<div>\u0000 \u0000 <p>Accurate prediction of climate variables is important in reducing the effects of natural disasters and taking preventive measures for agriculture and food security, energy sector, public health, and water resources management. For agricultural production, it is essential for producers to determine strategies for their agricultural activities and to increase agricultural productivity. Issues such as determining planting and harvest times, determining pesticides to be used against agricultural pests, selecting products to be planted, irrigation, and sustainable agriculture are directly related to climate variables. In this study, a GA-TCN-LSTM hybrid prediction model was created to determine climate variables such as relative humidity, temperature, wind speed, and dew point in Bhopal, Indore, Kanpur, Ludhiana, and Patna, which are among the prominent cities of India in terms of agricultural production. The hyper-parameters of the developed model using the temporal convolutional networks (TCN) and long short-term memory (LSTM) were optimized with the genetic algorithm (GA), and the GA-TCN-LSTM hybrid model was created. GA-TCN-LSTM was extensively compared with the base TCN-LSTM, convolutional neural network (CNN), LSTM, TCN, and CNN-LSTM. The compared models were tested using approximately 15 years of hourly, up-to-date, and real-time data of the cities. Experiments showed that GA-TCN-LSTM outperformed the compared models and had above 0.9 R-Squared (R<sup>2</sup>) for the majority of cities and climate variables.</p>\u0000 </div>","PeriodicalId":47835,"journal":{"name":"Journal of Forecasting","volume":"45 3","pages":"1225-1244"},"PeriodicalIF":2.7,"publicationDate":"2026-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147566202","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Impact of News Sentiment on the Bitcoin Price via Machine Learning and Deep Learning-Based NLP Models","authors":"Yunus Emre Gür, Emre Ünal","doi":"10.1002/for.70068","DOIUrl":"https://doi.org/10.1002/for.70068","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper employs deep learning and machine learning-based NLP models to investigate the impact of the news sentiment on the Bitcoin price. The lagged Bitcoin variables, news indicators, macroeconomic, and financial factors were taken into account to explain the importance of news sentiment on the Bitcoin price. Moreover, FinBERT-based sentiment scores and semantic features extracted from over 650,000 financial news headlines were integrated with financial and macroeconomic variables. The importance scores of the investigation showed that Bitcoin was largely explained by its lagged price movements, which suggests the speculative nature of the cryptocurrency. However, the investigation also revealed that Bitcoin was significantly influenced by the news sentiment score. In other words, the paper indicates that the movements in the Bitcoin price can be predominantly explained by the news sentiment. Advanced hybrid models (all ML and DL models with the addition of variables obtained with the FinBERT model) were optimized using Optuna and RandomizedSearchCV. The FinBERT-LSTM model achieved the best prediction accuracy. Nevertheless, the main findings indicated that the response of the Bitcoin price to negative news was much stronger than to positive and neutral news. This finding suggests that the asymmetric relationship between the Bitcoin price and news sentiment was evident. GARCH-based volatility and what-if scenario analyses further demonstrated that negative sentiment leads to sharper fluctuations in the Bitcoin price. The paper provides important implications for policymakers, portfolio managers, investors, and academics.</p>\u0000 </div>","PeriodicalId":47835,"journal":{"name":"Journal of Forecasting","volume":"45 3","pages":"895-923"},"PeriodicalIF":2.7,"publicationDate":"2026-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147567728","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}