known as unsystematic risk. This risk is unique to the specific security and affects a single asset or small group of assets. In contrast to systematic risk, which is the market risk that affects the larger number of assets. Unsystematic risk of a portfolio can be brought down to zero through diversification whereas systematic risk cannot be diversified. This can be further elaborated with the help of an example. A sudden rise in inflation affects all the companies by lowering the real return of all
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Investments team project KUBS Investment Fund Manager Group 14 (Step 1) For the convenience of problem solving, we solved the problems in following orders: a–c–e–b-d. a) The yearly expected return: First, find the weekly return for each stock by using the formula of: rᵢ=p₁-p₀p₀ Second, for each of the stock, add all of the weekly return and then divide by the number of sample (from Oct 27, 2005 until Oct 19, 2015) to get the average of weekly return. rw=1mnί=1mnrᵢ (where mn is 521) Third
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Review on Modern Portfolio theory Historical development and current state of theory: Modern Portfolio theory is developed by Markowitz (1952, 1959). Portfolio problem has been formulated as an option of the variance and mean of an asset portfolio. If investors concern on the return distributions for a single period, the mean and variance portfolio theory need to be developed to find the optimum portfolio. Then the investors need to find out the mean and the variance of return for each asset
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it is often used to evaluate realized performance for a diversified portfolio. Because it's assumed that the portfolio being evaluated is a diversified portfolio (meaning that the unsystematic risk has been eliminated), and because a diversified portfolio's main source of risk is market risk (or systematic risk), beta is an appropriate measure of that risk. Alpha is used to determine by how much the realized return of the portfolio varies from the required return, as determined by CAPM. The formula
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this project, you are going to evaluate the systematic risk of an investment portfolio. It can be an imaginary portfolio that you would like to put together to park your retirement savings, or your real 401(k) portfolio. To simplify the project, we are not going to include bonds, ETFs, mutual funds, etc. Or in other words, we are going to investigate a portfolio composed of only stocks. For example, your ideal portfolio can comprise the following stocks: IBM (5%), APPL (5%), GOOG (10%), DIS (10%)
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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: Monthly average return=0.57% Annual return= 6.89% Annual SD= 12.477% (monthly SD 3.60* 3.46 (square of 12)) Reynolds: Monthly average return= 1.87% Annual return= 1.87% * 12= 22.50% Annual SD: 32.446% (monthly SD 9.37* 3.46 (square of
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deviations because the coefficient of variation considers the relative size of the expected returns of each investment. E8-4. Computing the expected return of a portfolio Answer: rp (0.45 0.038) (0.4 0.123) (0.15 0.174) (0.0171) (0.0492) (0.0261 0.0924 9.24% The portfolio is expected to have a return of approximately 9.2%. E8-5. Calculating a portfolio beta Answer: Beta (0.20 1.15) (0.10 0.85) (0.15 1.60) (0.20 1.35) (0.35 1.85) 0.2300 0.0850 0.2400 0.2700 0.6475 1.4725 E8-6. Calculating the required rate
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the “risk-free” rate of return Portfolio Risk • Portfolio – a collection or grouping of investment securities or assets • Efficient Portfolio 1) Maximize return for a given level of risk 2) Minimize risk for a given level of return • Portfolio Return … the expected return on a portfolio, kp, is the weighted average of the expected returns on the individual stocks in the portfolio … the portfolio weights must sum to 1.0 … the realized rate
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CONTENTS BONDS 1 STOCKS 6 OPTIONS 10 FUTURES 16 PORTFOLIO PERFORMANCE EVALUATION 20 INTERNATIONAL INVESTING 26 BONDS Page 480 –CFA Problems Questions #1 1. Leaf Products may issue a 10-year maturity fixed-income security, which might include a sinking fund provision and either refunding or call protection. a) Describe a sinking fund provision. The sinking fund provision allows the firm to repurchase a fraction of the outstanding bonds at either the market price or the sinking
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‘ Investment Analysis & Portfolio Management Sharpe’s Single Index Model Practice Sheet -2 | |1. Betas of two stocks are 0.73 and 1.20 respectively. If the standard deviation of the market returns is 15.49%, the covariance between | | | |the two stock’s return is | | | |(a) 175.20(%)2 (b) 210.20(%)2 (c) 288.20(%)2 (d) 328.76(%)2 (e) 345.60(%)
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