### Mathematical Modelling and Applications

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### Time Series Analysis and Forecasting of Household Products’ Prices (A Case Study of Nyeri County)

Inflation has a significant impact on both consumable and non-consumable products and plays a critical role in determining the cost of living. The study aimed to investigate the trend of household consumable and non-consumable prices over the past three years and identify the best ARIMA model for future price predictions. The results showed that consumable goods played a greater role in determining the national inflation compared to non-consumable goods. A relationship was found between the changes in local-level prices and national monthly inflation rates, with consumable goods being fitted to an ARIMA (1,2,2) model and national inflation rates to ARIMA (3,1,0). Non-consumable goods were found to be a white noise. The models were found to be adequate in forecasting changes in prices, with their validity confirmed by the Box-Ljung test and autocorrelation coefficients of model residuals. This study demonstrated the importance of analyzing changes in products’ prices at a local level and how it affects the national inflation rate. In future, similar studies can be carried out in different counties and with a more comprehensive model to investigate the impact of the COVID-19 pandemic on the prices of household consumable and non-consumable goods at the local level.

ARIMA Model, Consumable Goods, Non-Consumable Goods, Inflation

APA Style

Muriuki Brian Muriithi, Waiguru Samuel. (2023). Time Series Analysis and Forecasting of Household Products’ Prices (A Case Study of Nyeri County). Mathematical Modelling and Applications, 8(1), 1-12. https://doi.org/10.11648/j.mma.20230801.11

ACS Style

Muriuki Brian Muriithi; Waiguru Samuel. Time Series Analysis and Forecasting of Household Products’ Prices (A Case Study of Nyeri County). Math. Model. Appl. 2023, 8(1), 1-12. doi: 10.11648/j.mma.20230801.11

AMA Style

Muriuki Brian Muriithi, Waiguru Samuel. Time Series Analysis and Forecasting of Household Products’ Prices (A Case Study of Nyeri County). Math Model Appl. 2023;8(1):1-12. doi: 10.11648/j.mma.20230801.11

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This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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