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Portfolio Theory and CAPM

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Physics and Finance

Part of the book series: Undergraduate Lecture Notes in Physics ((ULNP))

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Abstract

This chapter deals with the compilation of stocks into a portfolio that suits an investor’s hunger for profit, while minimizing the risk of losing the initial investment. Since the theory is based on variational methods and on Lagrange multipliers, applications of these concepts in physics are juxtaposed to their use in finance. As an extension of the portfolio theory, the basic equations of the capital asset pricing model are derived and used to value companies.

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References

  1. H. Markowitz, Portfolio Selection. J. Finance 7, 77 (1952)

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  2. L. Landau, E. Lifschitz, Lehrbuch der theoretischen Physik, Band I: Mechanik (Akademie Verlag, Berlin, 1979)

    Google Scholar 

  3. H. Goldstein, J. Safko, C. Poole, Classical Mechanics (Pearson, Harlow, 2014)

    MATH  Google Scholar 

  4. J. Tobin, Liquidity preference as behavior towards risk. Rev. Econ. Stud. XXVI, 65 (1958)

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  5. W. Sharpe, Capital asset prices: a theory of market equilibrium under conditions of risk. J. Finance 19, 425 (1964)

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  6. J. Lintner, The valuation of risk assets and the selection of risky investments in stock portfolios and capital budgets. Rev. Econ. Stat. 47, 13 (1965)

    Article  Google Scholar 

  7. E. Fama, K. French, The capital asset pricing model: theory and evidence. J. Econ. Perspect. 18, 25 (2004)

    Article  Google Scholar 

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Correspondence to Volker Ziemann .

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Ziemann, V. (2021). Portfolio Theory and CAPM. In: Physics and Finance. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-63643-2_3

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