Published August 11, 2025 | Version v1
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An Optimal Portfolio Construction by Using Sharpe's Index Model

Description

An attempt is made here to get an insight into the idea embedded in SHARPE’s Single Index Model and
to construct an optimal portfolio empirically using this model. While making investment decisions
particularly in EQUITY MARKET, risk and return plays an important role, perhaps the most relevant
question is which stock should be placed in the portfolio matters a lot. A good combination of equity
stocks in the portfolio will give better return for a given level of risk. SHARPE’s SINGLE INDEX
Model method involves selecting a cut-off rate for inclusion of securities in a portfolio. Taking BSE
Sensex as a market performance index with sixteen stocks of eight different sectors and considering
monthly indices along with the monthly prices of sample securities for the period of April 2018 to Mar
2023. Proportion of investment in each of the selected securities is computed based on beta value,
Variance, Corelation unsystematic risk, excess return to beta ratio and cut-off rate of each of securities.

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