Considering the attached set of securities and portfolio returns: Find the combination of the weights that minimizes CV of the portfolio. How does the CV of the optimal portfolio compare with the CVs of its constituents?
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Considering the attached set of securities and portfolio returns:
- Find the combination of the weights that minimizes CV of the portfolio.
- How does the CV of the optimal portfolio compare with the CVs of its constituents?
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- State ofEconomy Probabilityof State Return on AssetDin State Return on AssetEin State Return on AssetFin State Boom 0.35 0.060 0.310 0.25 Normal 0.50 0.060 0.180 0.20 Recession 0.15 0.060 -0.210 0.10 1.As an investor, compare Stock E with Stock F, and identify which stock willyou select and why.Covariance with Mean Return Stock AOL Microsoft Intel AOL .002 .001 15% Microsoft .001 .002 .001 12 Intel 001 .002 10 5.2. Compute the tangency portfolio weights assuming a risk-free asset yields 5 percent.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 1
- (Weighted Averages MC) Use the table to answer the question that follows. ROR Portfolio 1 Portfolio 2 Portfolio 3 7.3% $1,150 $800 $1,100 1.8% $1,825 $2,500 $525 2.7% -6.7% $1,405 10.4% $1,045 $1,450 $250 $825 $1,200 $1,880 $400 $2,225 Using technology, calculate the weighted mean of the RORs for each portfolio. Based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst? O Portfolio 3, Portfolio 1, Portfolio 2 Portfolio 2, Portfolio 3, Portfolio 1 O Portfolio 1, Portfolio 2, Portfolio 3 O Portfolio 3, Portfolio 2, Portfolio 1YYYYMM Return(Stk1) Return(Stk2) Return(Market) Return(T-bill) 201701 7.75% 3.00% 6.18% 0.20% 201702 1.27% 2.12% 1.63% 0.20% 201703 7.63% 1.50% 1.56% 0.15% 201704 9.25% -1.01% 2.09% 0.30% 201705 10.20% 2.66% 4.25% 0.30% 201706 4.33% 2.59% 0.41% 0.30% 201707 12.25% 10.41% 6.05% 0.35% 201708 4.98% -2.94% 2.37% 0.45% 201709 2.19% -1.69% -1.49% 0.20% 201710 4.05% 3.43% 2.51% 0.20% 201711 13.78% 8.29% 3.30% 0.15% 201712 2.01% 1.96% 2.54% 0.30% 201801 14.19% 23.60% 9.92% 0.30% 201802 -6.77% -4.18% -6.21% 0.55% 201803 -5.23% -10.14% -2.44% 0.60% 201804 -4.54% 1.93% 2.38% 0.20% 201805 2.32% -1.32% -1.10% 0.20% 201806 -1.35% -7.01% -4.97% 0.15% 201807 -9.80% -1.86% -1.29% 0.30% 201808 -4.28% -1.95% -2.43% 0.30% 201809 -4.94% 0.27% -0.36% 0.75% 201810 -17.39% -7.14% -10.11% 0.30% 201811 16.85% 9.62% 6.11% 0.55% 201812 0.64% -0.61% -2.49% 0.60% 201901 10.19% 7.68% 8.11% 0.20% 201902 -2.95% 10.90% 2.47% 0.20% 201903 7.50% 2.26% 1.46% 0.20%…YYYYMM Return(Stk1) Return(Stk2) Return(Market) Return(T-bill) 201701 7.75% 3.00% 6.18% 0.20% 201702 1.27% 2.12% 1.63% 0.20% 201703 7.63% 1.50% 1.56% 0.15% 201704 9.25% -1.01% 2.09% 0.30% 201705 10.20% 2.66% 4.25% 0.30% 201706 4.33% 2.59% 0.41% 0.30% 201707 12.25% 10.41% 6.05% 0.35% 201708 4.98% -2.94% 2.37% 0.45% 201709 2.19% -1.69% -1.49% 0.20% 201710 4.05% 3.43% 2.51% 0.20% 201711 13.78% 8.29% 3.30% 0.15% 201712 2.01% 1.96% 2.54% 0.30% 201801 14.19% 23.60% 9.92% 0.30% 201802 -6.77% -4.18% -6.21% 0.55% 201803 -5.23% -10.14% -2.44% 0.60% 201804 -4.54% 1.93% 2.38% 0.20% 201805 2.32% -1.32% -1.10% 0.20% 201806 -1.35% -7.01% -4.97% 0.15% 201807 -9.80% -1.86% -1.29% 0.30% 201808 -4.28% -1.95% -2.43% 0.30% 201809 -4.94% 0.27% -0.36% 0.75% 201810 -17.39% -7.14% -10.11% 0.30% 201811 16.85% 9.62% 6.11% 0.55% 201812 0.64% -0.61% -2.49% 0.60% 201901 10.19% 7.68% 8.11% 0.20% 201902 -2.95% 10.90% 2.47% 0.20% 201903 7.50% 2.26% 1.46% 0.20%…
- D1 = $0.8, rs = 10.5%, g = 6%. Calculate stock price. $18.17 $17.45 $18.04 $17.78Calculate the covariance between the following assets [6] State of the world Probability (Pi) Return for stock A Return for Stock B Expansion 0.25 32% 5% Normal 0.50 14% 15% Recession 0.25 4% 25%Year 2009 2010 2011 2012 2013 2014 2015 2016 Average % (-AVERAGE) SD (%) (-STDEVP) SD (%) (-STDEV.S) PSB 2017 2018 Covariance average product of deviations COVAR Correlation = Cov/(SDs * SDb) CORREL (=CORREL) Rates of Return Stock Fund (%) Bond Fund (%) 30.17 5.08 32.97 7.52 21.04 -8.82 -8.10 5.27 -12.89 12.20 -28.53 -7.79 22.49 6.38 12.58 12.40 14.81 17.29 15.50 0.51 Cov(rs,B) OS XOB Slope (Beta) Deviation from Average Returns Stock Fund Bond Fund Product of Deviations Squared Deviation Stock Fund Bond Fund Variance (n) Formula Calculations. Variance (n-1) Formula Calculations
- Year ASX 300 Index ASX 300 Dividend Yield (%) Return_risky portfolio 2010 4760.79 3.76 - 2011 4052.27 4.93 -0.147788 2012 4626.27 4.33 0.142718 2013 5304.8 3.99 0.147531 2014 5348.93 4.24 0.009118 2015 5249.09 4.72 -0.017783 2016 5617.73 4.09 0.071008 2017 6023.3 4.04 0.072914 2018 5596.96 4.48 -0.070038 2019 6647.74 3.95 0.188447 2020 6574.33 2.82 -0.010619 Average Std.dev 3.86% 10.56% Year Risk free rate (%) Return_risk-free asset 2011 4.51 - 2012 3.11 -0.309484 2013 2.61 -0.163052 2014 2.75 0.055662 2015 2.34 -0.150000 2016 1.78 -0.238503 2017 1.77 -0.005618 2018 2.02 0.141243 2019 0.90 -0.554455 2020 0.02 -0.977778 Average 2.18 -24.47% Calculate: Assuming E(Rc) = 7%, use E(Rc) = Rf + y* (E(Rp) - Rf) 1. % of Risky Assets: 2. % of Risk Free Assets: 3. Standard Deviation of the portfoliooctoring Enable x + getproctorio.com/secured #lockdown octoring Enabled: Chapter 4 Required Homework (G... i 03:48:29 5 The Home Depot is the largest home improvement retailer in the United States. Home Depot financial statements for 2024 are shown below (in thousands): 2024 Income Statement Net sales Cost of goods sold Gross profit Operating expenses Interest expense Income tax expense Net income Assets Cash $ 10,000 (6,550) 3,450 (2,350) (300) (320) $ 480 Comparative Balance Sheets Accounts receivable Inventory Property, plant, and equipment (net) Bonds payable Common stock Retained earnings Liabilities and Shareholders' Equity Current liabilities December 31 2024 Saved $ 700 700 900 3,000 $ 5,300 1,700 1,900 700 1,000 $ 5,300 2023 $ 600 500 700 3,100 $ 4,900 $ 1,450 1,900 700 850 $ 4,900 Help Required: Calculate Home Depot ratios for 2024. Note: Consider 365 days a year. Do not round intermediate calculations and round your final answers to 2 decimal places.Given Analysis of unlevered equity beta with risky debt beta = .30 Firm1 (F1) Firm2 (F2) Firm3 (F3) Company Name b. Solution Levered Equity Betas Analysis of Sterling Analysis based on simple average of unlevered equity betas beta unlevered D/E 1.79 1.98 1.71 0.20 Tax Rate Debt/Equity Assumed Capitalization Debt Betas 0.30 0.30 0.30 0.31 0.24 0.22 beta debt 38% 0.30 Average D/E 0.20 a. Solution: Unlevered Equity Betas beta levered