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- A B с E F Investment Opportunity set for stocks and bonds with varios correlation coeffients SD s SDB 19 8 E(rs) 10 Weight in stocks WS -0.1 0.0 0.1 0.2 0.3 0.4 0.6 0.8 1.0 1.1 D E(TB) 5 Portfolio expected return ws(min) = (GB^2 - OBOSP) / (Os^2 + B^2 - 2*0BÚSP) E(rp) = ws(min) *E(rs)+(1-wg(min))*E(rb) = SDp = G -1 Portfolio Standard Deviation for Given Correlation 0 0.2 0.5 H Minimum Variance Portfolio 14. Consider the following equation of the CAPM: E(R) = 5%+B₁*10% P is an equally-weighted portfolio composed of the risk-free rate and stocks A, B and C. The following characteristics are given with respect to the three stocks: Stock Po E(P) E(D) В A 100 112 5 1.1 B 5 5.5 1 0.7 с 10 8 4 1.3 Compute the expected alpha of this portfolio.Q1. Portfolio Returns stock has mean of 8% and stdev of 20%; ii bond has mean of 4% and stdev of 10%; iii correlation b/w stock and bond of -0.2; cash return is 1% for lending and borrowing. What is the mean and stdev of a portfolio of that is 2/3rd stock and 1/3rd in bond?
- 1. A portfolio consists of two securities and the expected return on them is 11% and 15% respectively. What is the return on this portfolio if the first security constitutes of 45% of the total portfolio? a) 13% b) 13.2% c) 12.8% d) 12.2%22.Consider the following simplified APT model: Factor Expected Risk Premium Market 6.4% Interest Rate -0.6% Yield Spread 5,1% Factor Risk Exposures Market Interest Rate Yield Spread Stock Stock (b1) (62) (b3) P. 1.0 -2.0 -0.2 1.2 0.3 0.3 0.5 1.0 a) Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal investments in stocks P, P2, and P3 b) What are the factor risk exposures for the portfolio? c) What is the portfolio's expected return?What is the beta of a portfolio comprised of the following securities? Stock Amount Invested Security Beta- 0.86 1.76 1.35 A B C $3600 $ 2800 $ 9000 Beta of portfolio to 2 decimal places is Numeric Response
- 14. There are three securities in the market whose return on market portfolio yield the following results : reg rfood rmrf Source SS df MS Number of obs 516 F (1, 514) 763.49 %3D Model 6355.67324 6355.67324 Prob > F 0.0000 Residual 4278.81044 514 8.32453393 R-squared 0.5976 %3D Adj R-squared 0.5969 Total 10634.4837 515 20.6494829 Root MSE 2.8852 rfood Coef. Std. Err. P>|t| [95% Conf. Interval] rmrf .7834176 .0283526 27.63 0.000 .7277164 .8391188 _cons .3391769 .1275602 2.66 0.008 .0885734 .5897804 i. reg rdur rmrf Source SS df MS Number of obs 516 %3D F (1, 514) 1458.52 %3D Model 12789.402 1 12789.402 Prob > F 0.0000 %3D 4507.13047 R-squared Adj R-squared Residual 514 8.76873633 0.7394 %3D 0.7389 Total 17296.5324 515 33.5854999 Root MSE 2.9612 rdur Coef. Std. Err. P>|t]| [95% Conf. Interval] rmrf 1.111316 .0290992 38.19 0.000 1.054148 1.168484 _cons .063612 .1309193 0.49 0.627 -.1935907 .3208148 ii. reg rcon rmrf Source SS df MS Number of obs 516 F (1, 514) 2096.01 Model 13866.0296 1…D1 = $1.25, g = 6.00%, β = 1.15, market risk premium = 5.5%, and risk free rate = 4 %. Find the stock price $28.90 $28.62 $29.36 $30.12Consider the following simplified APT model: Factor Expected Risk Premium Market 6.4% Interest Rate -0.6% Yield Spread 5.1% Factor Risk Exposures Market Interest Rate Yield Spread Stock Stock(b1) (b2) (b3) P 1.0 -2.0 -0.2 P2 1.2 0 0.3 P3 0.3 0.5 1.0 Required: 1. Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal investments in stocks P, P2 and P3 2.What are the factor risk exposures for the portfolio? 3.What is the portfolio’s expected return?
- 7. The following data are available to you as portfolio manager: Security Estimated return (%) Beta A 40 3.0 B 35 2.5 30 1.0 D 17.5 1.8 E 20.0 1.5 Market Index 25 2.0 Govemment Security 17 a) In terms of the security market line, which of the securities listed above are underpriced? b) Assuming that a portfolio is constructed using equal proportions of the five securities listed above, calculate the expected retum and risk of such a portfolio.Suppose a portfolio is given as follows: Securities Weight BPW CJW AJT O 6.0% O 5.0% 0.3 O 5.1% 0.4 O 7.0% Onone listed Expected Standard Return Deviation 6% 7% 0.3 5% What is the expected return of the portfolio (to 1 decimal place)? 6% 4% 3%An investor's portfolio consists of the following stocks: B. C. Required: A. Stock NCB BNS JBG GRACE LASD HBN % of Portfolio Beta 35 1.05 15 0.45 10 0.9 10 0.95 23 d 1.6 7 $0.7 Expected Return 21% * 10% 15% 18% 25% 9% d The current risk free rate of return is 6.5% and the expected return on the market portfolio is f 16%. to sastava 128 hodan) ditane H puo abuso gurILA be HOME D q now to Compute the expected return of the portfolio and the portfolio beta. Tynaquros ort vd bomenstem of dou Compute the required rate of return for the NCB stock using the Capital Asset Pricing Model (CAPM). bell (0 simo 15710 zib sh Explain the difference between diversifiable and non-diversifiable risks using examples.
