Assuming you are an investor with GHS100 available. If you invest GHS60 and GHS40 in Allos Inc. and Orangus Inc. respectively, what will be your portfolio returns? 4.Calculate the Standard deviation of the portfolio
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Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
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- Suppose financial analysts believe that there are four equally likely states of the economy: depression, recession, normal, and boom. The returns on the Supertech Company are expected to follow the economy closely, while the returns on the Slowpoke Company are not. The return predictions are as follows: States of the economy Allos Inc. Returns (RA) Orange Inc. Returns (RB) Depression -20% 5% Recession 10% 20% Normal 30% -12% Boom 50% 9% Required: 1.For each company calculate: i.the expected returns ii.the Variance iii.the Standard deviation 2.For each company calculate and explain: i.The covariance ii.The correlation 3.Assuming you are an investor with GHS100 available. If you invest GHS60 and GHS40 in Allos Inc. and Orangus Inc. respectively, what will be your portfolio returns? 4.Calculate the Standard deviation of the portfolio.•Question 1 Suppose financial analysts believe that there are four equally likely states of the economy: depression, recession, normal, and boom. The returns on the Supertech Company are expected to follow the economy closely, while the returns on the Slowpoke Company are not. The return predictions are as follows: States of the economy Allos Inc. Returns (RA) Orangus Inc.Returns (Rg) snäur Depression -20% Recession 20% %10% Normal -12% %6 Required: 1. For each company calculate: i. the expected returns ii. the Variance 2. Assuming you are an investor with GHS100 available. If you invest GHS60 and GHS40 in Allos Inc. and Orangus Inc. respectively, jii. the Standard deviation what will be your portfolio returns? 3. Calculate the Standard deviation of the portfolio.Suppose a world has two risky assets: StkC and StkD. The following table shows the holding period returns in each scenario. Suppose the T-bill rate is 3%. Scenario Probability Return for StkC Return for StkD Severe recession 0.03 -40% -12% Mild Recession 0.02 -10% 10% Normal 0.9 10% 6% Mild growth 0.02 20% 8% Boom 0.03 60% -20% Which answer is the closest value to the fifth-percentile value at risk (VaR) of holding StkC? -40% -10% 10% 20% 60%
- Barbara Millicent Roberts LLC (BMRL) is a boutique advisory firm that specialises in macro- economic forecasts for their wealthy clients. According to BMRL's analysis, the following are three possible future macro-economic environments along with state-dependent total returns for three assets, A, B and M (M is the market). ProbabilityA 0.3 0.5 0.2 B M Growth Stagnation Recession Required: Calculate the forward-looking CAPM expected return for B. 2% 15% 2% 3% 2% -10% 7% 4% -3%Start with the partial model in the file Ch07 P25 Build a Model.xlsx on the textbook’s Web site. Selected data for the Derby Corporation are shown here. Use the data to answer the following questions. Calculate the estimated horizon value (i.e., the value of operations at the end of the forecast period immediately after the Year-4 free cash flow). Assume growth becomes constant after Year 3. Calculate the present value of the horizon value, the present value of the free cash flows, and the estimated Year-0 value of operations. Calculate the estimated Year-0 price per share of common equity.The following table lists possible rates of return on Company A and B. State of the Economy Probability Company A Deep recession 0.05 -20% Mild recession Average Mild boom Strong boom ii. 0.25 0.35 0.20 0.15 iii. 0 10 15 30 (a) Based on the above data calculate by using the appropriate formulae the standard deviations of returns for Company A and B i. the covariance of returns between Company A and B Company B -40% the correlation between Company A and B 10 0 25 30 (b) If you wish to diversify risk would it be advisable to form a portfolio of both securities A and B? State your reasons. (No computations are required to answer this part of the question.) (c) Find the minimum variance one can get by forming a portfolio of A and B. Short- selling either stock is allowed - i.e., weights need not be all positive.
- PART ONE Assume that you have the following investment alternatives are at your disposal, shown with their probabilities and associated outcomes. Condition of economy Probability Treasury Bill Nyundo Ltd Mwila Ltd Recession 0.1 8.0% -22% 10% Below average 0.2 8.0% -2% -10% Average 0.4 8.0% 20% 7.0% Above average 0.2 8.0% 35% 45% Boom 0.1 8.0% 50% 30% Required: 1. Compute the correlation coefficient. 2. Construct the security market line. Fill in your answers ONLY in this table. Round answers to 2 decimal places. This table must be submitted (any student who doesn't submit this table with only answers rounded to 2 decimal places will get zero) The Risk Free Rate is 0.5% for every state of the economy. Probability Stock A Stock B Market Portfolio Recession 0.1 -22% 28% -13% Below average 0.2 -2% 14.7% 1% Average 0.4 20% 0% 15% Above average 0.2 35% -10% 29% Boom 0.1 50% -20% 43% ER ? 1.74% 15% Variance () 401.44 ? 235.20 CV ? ? ? Beta (ẞ) 1.3 -0.87 ? S Measure ? ? ? T Measure ? ? ?…Consider the following information about the various states of economy and the returns of various investment alternatives for each scenario. Answer the questions that follow. State of the Economy Recession Below Average Average Above Average Boom Mean Standard Deviation Coefficient of Variation Covariance with MP Probability 0.2 0.1 0.3 0.3 0.1 % Return on T-Bills, Stocks and Market Index Pay-Rubber- made 10 -10 7 45 30 T- Bills 7 7 7 7 7 Phillips -22 -2 20 35 50 up 28 14.7 0 -10 -20 Market Index -13 1 15 29 432) Calculate the expected rate of return and standard deviation for a security with the following possible outcomes: State of the Economy Probability of State Return if State Occurs Depression 0.2 -5% Recession 0.4 3% Slow growth 0.3 7% Moderate growth 0.1 10%
- H3. Compute the standard deviation of the expected return given these three economic states, their likelihoods, and the potential returns: Economic State Probability Return Fast Growth 0.2 30% Slow Growth 0.5 6% Recession 0.3 −2% Please show proper step by step calculationConsider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Recession .21 −.04 Normal .65 .16 Boom .14 .22 Calculate the expected return. Multiple Choice 13.15% 2.27% 12.64% 13.27% 12.01%If the probability of a recession is 0.3, normal growth is 0.4 and a boom is 0.3, and the payoff in the event of a recession is $100, normal growth is $300 and boom is $500, what is the expected payoff? a. $300 b. $400 c. $200 d. $500