Portfolio Optimization: Indifference Curve Approach

Nand Kumar; Archana Singh; Ranganath M. S.; Amandeep Kaur

doi:https://doi.org/10.51976/ijari.211402

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Portfolio Optimization: Indifference Curve Approach

Nand Kumar, Archana Singh, Ranganath M. S., Amandeep Kaur

Vol 2 , Issue 1 , January - March 2014 | Pages: 9-15 | Research Paper

https://doi.org/10.51976/ijari.211402

Received: January 02, 2014 | Revised: January 29, 2014 | Accepted: February 20, 2014 | Published Online: March 15, 2014

Author Details ( * ) denotes Corresponding author

1. * Nand Kumar, Department of Humanities and Applied Sciences, Dehli Technical University, New Delhi, Delhi, India (nand.dce@gmail.com)

2. Archana Singh, Delhi School of Management, Dehli Technical University, New Delhi, Delhi, India

3. Ranganath M. S., Department of Mechanical Engineering, Delhi Technological University, New Delhi, Delhi, India

4. Amandeep Kaur, Department of Mechanical Engineering, Delhi Technological University, New Delhi, Delhi, India

The study examines the monthly stock prices of 45 SENSEX companies for the period ranging from February 2002 to January 2012. Also the study includes the Indian G-SEC long term bonds with maturities ranging from 15 to 25 years. The set of all efficient portfolios is called the efficient frontier. All risk-averse investors who act to maximize expected utility have an optimal portfolio on this frontier. Based on the risk-aversion factor and the investment time horizon of each individual investor, an attempt is being made to select the optimal portfolio for that particular investor. Given a utility function for an individual investor, the portfolio optimization problem is to find the indifference curve which is tangent to the efficient frontier. The optimal portfolio for the investor lies at the point of tangency between the efficient frontier and the indifference curve. The findings of the study bring out the importance of the investor‟s time horizon and the risk-aversion factor in portfolio optimisation.

Keywords

Efficient Frontier; Indifference Curve; Risk-aversion Factor;Investment Time Horizon; Portfolio Optimization

M. Blume, I. Friend, “A new look at the CAPM”, Journal of Finance, March (1973), 19-34,

F. Black, M. C. Jensen, M. Scholes, “The CAPM: Some empirical tests, reprinted in M. C. Jensen, ed, studies theory of capital markets”, Praeger, New york, 1972, 79-124

W. F. Sharpe, “A simplified model for portfolio analysis, Management science, January 1963, 277-293

F. Black, “Capital market equilibrium with restricted borrowing, Journal of business 45, 444- 454, 1972

Kraus Alan, Litzenberger Robert, “On the Distributional Conditions for a Consumption oriented Three Moment CAPM”, Journal of Finance, 38(5), December 1976

Fama F. Eugene, “The Behavior of Stock-Market Prices”, The Journal of Business, 38(1), Jan., 1965

J. Elton, Edwin, Gruber J. Martin, “Modern Portfolio Theory, 1950 to date, New York University stern School of Business Finance Department, Working Paper Series, 1997

Hakansson H. Nils, “An Induced Theory of the Firm under Risk: The Pure Mutual Fund”, Journal of Financial and Quantitative Analysis, 5(2), 1970

Fama F. Eugene, “Efficient Capital Markets: A Review of Theory and Empirical Work”, Journal of Finance, 25, May 1970

Working Holbrook, “A Random Difference Series for Use in the Analysis of Time Series”, journal of the American Statistical Association, 29(185), March, 1934

Fama F. Eugene; Fisher Lawrence; Jensen C. Michael; Roll Richard, “The Adjustment of Stock Prices to New Information”, International Economic Review, 10(1), Feb., 1969