This paper models daily prices of the Safaricom stock and compares the actual data with developed forecasts using time series analysis over the period from January 2013 to January 2021. The daily historical data of the Safaricom stock is downloaded in csv format from Investing.com for use in this study. The main goal of this paper is to apply the ARIMA model for forecasting daily prices of the Safaricom stock. The accuracy of the forecast is compared with Mean Absolute Error (MAE), Mean Absolute Percentage Error (MAPE) and Root Mean Squared Error (RMSE).