International Journal of Social Science & Economic Research
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Title:
CAPM MODEL AND MODERN PORTFOLIO THEORY

Authors:
Xiaoting Zhou

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Xiaoting Zhou
JSerra Catholic High School, USA

MLA 8
Zhou, Xiaoting. "CAPM MODEL ANDMODERNPORTFOLIOTHEORY." Int. j. of Social Science and Economic Research, vol. 6, no. 5, May 2021, pp. 1410-1429, doi.org/10.46609/IJSSER.2021.v06i05.003. Accessed May 2021.
APA 6
Zhou, X. (2021, May). CAPM MODEL ANDMODERNPORTFOLIOTHEORY. Int. j. of Social Science and Economic Research, 6(5), 1410-1429. Retrieved from doi.org/10.46609/IJSSER.2021.v06i05.003
Chicago
Zhou, Xiaoting. "CAPM MODEL ANDMODERNPORTFOLIOTHEORY." Int. j. of Social Science and Economic Research 6, no. 5 (May 2021), 1410-1429. Accessed May, 2021. doi.org/10.46609/IJSSER.2021.v06i05.003.

References

[1]. Ledoit, Olivier, and Michael Wolf. "Improved estimation of the covariance matrix of stock returns with an application to portfolio selection." Journal of empirical finance 10.5 (2003): 603-621.
[2]. Roll, Richard. "A mean/variance analysis of tracking error." The Journal of Portfolio Management 18.4 (1992): 13-22.
[3]. Mangram, Myles E. "A simplified perspective of the Markowitz portfolio theory." Global journal of business research 7.1 (2013): 59-70.
[4]. Virtanen, Pauli, et al. "SciPy 1.0: fundamental algorithms for scientific computing in Python." Nature methods 17.3 (2020): 261-272.
[5]. Google Finance: Stock market quotes, news, currency conversions & more. (n.d.).Google. Retrieved October 11, 2020, from http://www.google.com/finance
[6]. Erlich, István, Ganesh K. Venayagamoorthy, and Nakawiro Worawat. "A mean-variance optimization algorithm." IEEE Congress on Evolutionary Computation. IEEE, 2010.

Abstract:
Mean-Variance Model (Modern portfolio theory) maybe the most famous model in financial field. It assesses a portfolio which’s the expected return (mean) is maximized under a given risk (variance). It comes from assumption that investor want as high as return while as low as risk as he could when he invested a couple of assets (a portfolio isthe collection of many assets). This model could give us the many optimal portfolio (efficient portfolio frontier) when we know every asset’s expect return and their covariance matrix. The accuracy estimating the covariance matrix is the most essential part implementing portfolio optimization. Thus in this project, we will perform the mean variance portfolio of the targeted portfolio with Ledoit-Wolf shrinkage methodology which can give us robust estimation of covariance matrix. Then we will use the optimal portfolio to visualize the efficient frontier and compare the optimal portfolio with index or other randomly chosen portfolio.

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