You observe a portfolio for five years and determine that its average return is 12.68% and the standard deviation of its returns is 19.66%. Would a 30% loss next year be outside the 95% confidence interval for this portfolio? The low end of the 95% prediction interval is ☐ %. (Round to two decimal places.)
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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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- You observe a portfolio for five years and determine that its average return is 11.8%and the standard deviation of its returns in19.6%.Would a 30% loss next year be outside the 95% confidence interval for this portfolio? The low end of the 95% prediction interval is ...%You observe a portfolio for five years and determine that its average return is 11.3% and the standard deviation of its returns in 19.7%. Would a 30% loss next year be outside the 95% confidence interval for this portfolio? C The low end of the 95% prediction interval is%. (Enter your response as a percent rounded to one decimal place.) O B. O A. Yes, you can be confident that the portfolio will not lose more than 30% of its value next year. This is because the low end of the prediction interval is greater than - 30%. No, you cannot be confident that the portfolio will not lose more than 30% of its value next year. This is because the low end of the prediction interval is less than - 30%. O C. No, you cannot be confident that the portfolio will not lose more than 30% of its value next year. This is because the low end of the prediction interval is greater than - 30%. O D. Yes, you can be confident that the portfolio will not lose more than 30% of its value next year. This is because…You invest 80% of your portfolio in a risky portfolio that has an expected rate of return of 15% and a standard deviation of 21%, and the rest in T-bill with a 2% rate. What is the expected return of your portfolio? Enter your answer as a decimal number, rounded to three decimal places.
- Security F has an expected return of 10 percent and a standard deviation of 43 percent per year. Security G has an expected return of 15 percent and a standard deviation of 62 percent per year. a. What is the expected return on a portfolio composed of 30 percent of Security F and 70 percent of Security G? b. If the correlation between the returns of Security F and Security G is 25, what is the standardAssume the riskless rate of interest is 2% per year, and the expected rate of return on the market portfolio is 8% per year. According to the CAPM, what is the efficient way for an investor to achieve an expected rate of return of 5% per year? If the standard deviation of the rate of return on the market portfolio is 4%, what is the standard deviation of the portfolio producing the 5% expected return? • Plot the CML and locate the foregoing portfolios on the same graph. • Plot the SML and locate the foregoing portfolios on the same graph.Your portfolio has 1 Standard Deviation of +/- 19% points from the average ATR of +12%. Given this data, A) What is the ATR range for 1 SD and 2 SDs? B) At 2 SDs, you have a ____% confidence level that losses next year will not be greater than ___%. (Show your calculations for both A and B.)
- Suppose that you have $1 million and the following two opportunities from which to construct a portfolio: a. Risk-free asset earning 11% per year. b. Risky asset with expected return of 35% per year and standard deviation of 42%. If you construct a portfolio with a standard deviation of 30%, what is its expected rate of return? (Do not round your intermediate calculations. Round your answer to 1 decimal place.) Expected return on portfolio %Year End Index Realized Return 2000 23.6% 2001 24.7% 2002 30.5% 2003 9.0% 2004 -2.0% 2005 -17.3% 2006 -24.3% 2007 32.2% 2008 4.4% 2009 7.4%What is the expected return of a portfolio that has $8,000 invested in S and $2,000 invested in T? The risk-free rate is 6% and the market portfolio's return is 14%. Do you expect the investment to be a good one for the coming year if betas for the two portfolio components are 0.6 and 1.3, respectively?
- You are constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 9 percent and 14 percent, respectively. The standard deviations of the assets are 25 percent and 33 percent, respectively. The correlation between the two assets is .33 and the risk - free rate is 4.2 percent. What is the optimal Sharpe ratio in a portfolio of the two assets? What is the smallest expected loss for this portfolio over the coming year with a probability of 2.5 percent? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your Sharpe ratio answer to 4 decimal places and the z-score value to 3 decimal places when calculating your answer. Enter your smallest expected loss as a percent rounded to 2 decimal places.)Asset X has a beta of 1.7 and an expected return of 15.1%. Asset Y has a beta of .70 and an expected return of 8.50%. The risk-free rate is 4.2%. If you wish to hold a portfolio consisting of assets X and Y and have a portfolio beta equal to 1.0, what is the expected return of the portfolio? The final answer should also be rounded to 5 decimal places.You are constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 13 percent and 16 percent, respectively. The standard deviations of the assets are 39 percent and 47 percent, respectively. The correlation between the two assets is 61 and the risk-free rate is 5.3 percent. What is the optimal Sharpe ratio in a portfolio of the two assets? What is the smallest expected loss for this portfolio over the coming year with a probability of 1 percent? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your Sharpe ratio answer to 4 decimal places and the z-score value to 3 decimal places when calculating your answer. Enter your smallest expected loss as a percent rounded to 2 decimal places.) Sharpe ratio Smallest expected loss %