Title: A comparative study of optimum risk portfolio and eigen portfolio on the Indian stock market

Authors: Jaydip Sen; Sidra Mehtab

Addresses: Department Data Science and Artificial Intelligence, Praxis Business School, Bakrahat Road, Off Diamond Harbor Road, Kolkata 700104, West Bengal, India ' School of Computing and Analytics, NSHM Knowledge Campus, 124, B. L. Saha Road, Kolkata, 700053, West Bengal, India

Abstract: Designing an optimum portfolio that allocates weights to its constituent stocks in a way that achieves the best trade-off between the return and the risk is a challenging research problem. This paper presents three approaches to portfolio design, viz, the minimum risk portfolio, the optimum risk portfolio, and the eigen portfolio, for seven important sectors of the Indian stock market. The daily historical prices of the stocks are scraped from Yahoo Finance website from January 1, 2016, to December 31, 2020. Three portfolios are built for each of the seven sectors chosen for this study, and the portfolios are analysed on the training data based on several metrics such as annualised return and risk, weights assigned to the constituent stocks, the correlation heatmaps, and the principal components of the eigen portfolios. Finally, the optimum risk portfolios and the eigen portfolios for all sectors are tested on their return over a period of a six-month period.

Keywords: return; risk; minimum risk portfolio; optimum risk portfolio; eigen portfolio; Sharpe ratio; principal component analysis; PCA; correlation heatmap.

DOI: 10.1504/IJBFMI.2021.120155

International Journal of Business Forecasting and Marketing Intelligence, 2021 Vol.7 No.2, pp.143 - 193

Received: 18 Jul 2021
Accepted: 21 Jul 2021

Published online: 07 Jan 2022 *

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