  Accurate prediction of future prices of stocks is a difficult task to
perform. Even more challenging is to design an optimized portfolio of stocks
with the identification of proper weights of allocation to achieve the
optimized values of return and risk. We present optimized portfolios based on
the seven sectors of the Indian economy. The past prices of the stocks are
extracted from the web from January 1, 2016, to December 31, 2020. Optimum
portfolios are designed on the selected seven sectors. An LSTM regression model
is also designed for predicting future stock prices. Five months after the
construction of the portfolios, i.e., on June 1, 2021, the actual and predicted
returns and risks of each portfolio are computed. The predicted and the actual
returns indicate the very high accuracy of the LSTM model.
