D. factor betas E. B and D The coefficients are called factor betas, factor sensitivities, or factor loadings. Difficulty: Easy 6. Which pricing model provides no guidance concerning the determination of the risk premium on factor portfolios? A. The CAPM B. The multifactor APT C. Both the CAPM and the multifactor APT D. Neither the CAPM nor the multifactor APT E. None of the above is a true statement. The multifactor APT provides no guidance as to the determination of the risk
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Alex Sharpe’s Portfolio 1. Returns and Risk Estimate and compare the returns and variability (i.e. annual standard deviation over the past five years) of Reynolds and Hasbro with that of the S&P 500 Index. Which stock appears to be riskiest? S&P 500 Annualized Expected Return: 6.8920% S&P 500 SD (Annualized): 12.477% Reynolds Annualized Expected Return: 22.4980% Reynolds SD (Annualized): 32.446% Hasbro Annualized Expected Return: 14.2060% Hasbro SD (Annualized): 28.114% Reynolds
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Mean-variance portfolio theory (2.1) Markowitz’s mean-variance formulation (2.2) Two-fund theorem (2.3) Inclusion of the riskfree asset 1 2.1 Markowitz mean-variance formulation Suppose there are N risky assets, whose rates of returns are given by the random variables R1 , · · · , RN , where Rn = Sn(1) − Sn (0) , n = 1, 2, · · · , N. Sn(0) Let w = (w1 · · · wN )T , wn denotes the proportion of wealth invested in asset n, N with n=1 wn = 1. The rate of return of the portfolio is N RP = n=1
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Risk and Return Concepts Prepared by: JQY Risk and Return Concepts • Measures of risk and returns • Portfolio risk and returns • CAPM Return – what is earned on an investment: the sum of income and capital gains generated by an investment. Risk – possibility of loss; the uncertainty that the anticipated return will not be achieved. Risk and Return? If you have PHP 1,000,000, will you invest in: 5% 20% Risk and Return General Rule of Thumb: More Risk = More Returns Less
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________________________ 1. You are considering investing $1,000 in a T-bill that pays 0.05 and a risky portfolio, P, constructed with 2 risky securities, X and Y. The weights of X and Y in P are 0.60 and 0.40, respectively. X has an expected rate of return of 0.14 and variance of 0.01, and Y has an expected rate of return of 0.10 and a variance of 0.0081. If you want to form a portfolio with an expected rate of return of 0.11, what percentages of your money must you invest in the T-bill and
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that determine rates of return (discount rates) in the capital markets. We are particularly interested in the relationship between risk and rates of return. We look at risk both in terms of the riskiness of an individual security and that of a portfolio of securities. CHAPTER OUTLINE I. Expected Return Defined and Measured A. The expected benefits or returns to be received from an investment come in the form of the cash flows the investment generates. B. Conventionally, we
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and that would be the new hazard free return. The key is in understanding and dealing with the dangers. This is valid for any speculation class of which property is essentially one of a lot of people. By understanding the dangers your property or portfolio face and overseeing them successfully will bring about amplifying your speculations and provide for you the genuine feelings of serenity to rest effectively during the evening.
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Course Literature, articles, ME2017 V14 1. Blichfeldt & Eskerod (2008): Project portfolio management – There´s more to it than what management enacts. International Journal of Project Management, Vol 26, Issue 4, May 2008, pp. 357-365 2. Pellegrinelli S. (2011): What’s in a name: Project or programme? International Journal of Project Management, Vol 29, pp. 232–240 3. Pellegrinelli S. & Garagna L. (2009): Towards a conceptualisation of PMOs as agents and subjects of change and renewal. International
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disregard the items at the bottom of the data; you will fill in the blanks later.) Returns on Alternative Investments Estimated Rate of Return State of the Economy Prob. T-Bills High Tech Collec- tions U.S. Rubber Market Portfolio 2-Stock Portfolio Recession 0.1 5.5% -27.0% 27.0% 6.0% a -17.0% 0.0% Below Avg. 0.2 5.5 -7.0 13.0 -14.0 -3.0 Average 0.4 5.5 15.0 0.0 3.0 10.0 7.5 Above Avg. 0.2 5.5 30.0 -11.0 41.0 25.0 Boom 0.1 5.5 45.0 -21.0 26.0 38.0 12.0 r-hat ( r ˆ ) 1
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Diversification A risk management technique that mixes a wide variety of investments within a portfolio. The rationale behind this technique contends that a portfolio of different kinds of investments will, on average, yield higher returns and pose a lower risk than any individual investment found within the portfolio. Diversification strives to smooth out/reduces unsystematic risk events in a portfolio so that the positive performance of some investments will neutralize the negative performance
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