Analytical VaR Use the table below at the given level of accuracy: Critical values for VaR calculations. a Za 10% -1.282 5 -1.645 1 -2.326 Diamond Inc. is an investment company. One of its portfolios has a current market value of $25,000,000 and its returns follow a normal distribution with a mean of 8% and a standard deviation of 16% per year. At a 90% confidence level a. What is the portfolio VaR? $ Number Round your answer to the dollar. Do NOT use negative sign! b. What is the the minimum value of the portfolio during the next year? $ Number Round your answer to the dollar c. What is the portfolio ES? $ Number Round your answer to the dollar. Do NOT use negative sign!

Two investments generated the following annual returns: % -Select- a. What is the average annual return on each investment? Round your answers to one decimal place. The average annual rate of return on X: The average annual rate of return on Y: b. What is the standard deviation of the return on investments X and Y? Round your answers to two decimal places. Standard deviation of X: % Standard deviation of Y: c. Based on the standard deviation, which investment was riskier? was riskier. 20X0 20X1 20X2 20X3 20X4 Investment X 11% 22 30 16 9 Investment Y 22% 24 10 13 12

You have been asked for your advice in selecting a portfolio of assets and have been supplied with the following data:. You have been told that you can create two portfolios-one consisting of assets A and B and the other consisting of assets A and C-by investing equal proportions (50%) in each of the two component assets. a. What is the average expected return, r, for each asset over the 3-year period? b. What is the standard deviation, s, for each asset's expected return? c. What is the average expected return, rp, for each of the portfolios? d. How would you characterize the correlations of returns of the two assets making up each of the portfolios identified in part c? e. What is the standard deviation of expected returns, Sp, for each portfolio? f. What would happen if you constructed a portfolio consisting of assets A, B, and C, equally weighted? Would this reduce risk or enhance return?

Suppose the average return on Asset A is 6.6 percent and the standard deviation is 8.6 percent and the average return and standard deviation on Asset B are 3.8 percent and 3.2 percent, respectively. Further assume that the returns are normally distributed. Use the NORMDIST function in Excel® to answer the following questions.    a. What is the probability that in any given year, the return on Asset A will be greater than 11 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the probability that in any given year, the return on Asset B will be greater than 11 percent? Less than 0 percent? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c-1. In a particular year, the return on Asset A was −4.25 percent. How likely is it that such a low return will recur at some point in the future? (Do…

During a particular investment period, a wealth management company held an investment portfolio that earned an average return of 13% with standard deviation of 30% and beta of 1.5.  The average risk-free rate of return during this investment period was 2%. (full process)   (a)     Calculate the Sharpe and Treynor measures of performance evaluation for this investment portfolio.                                                 This investment portfolio is composed of the following two asset classes:  Asset Class Weight Return Equity 0.80 15% Bonds 0.20 5%           During this particular investment period, the information on a benchmark portfolio is given in the following table. Asset Class Weight Return Equity (S&P500 Index) 0.50 17% Bonds (Lehman Brothers Index) 0.50 5%   (b)     Determine whether the investment portfolio of the wealth management company performed better than the benchmark portfolio in terms of the total…

Suppose the returns on an asset are normally distributed. The historical average annual return for the asset was 5.2 percent and the standard deviation was 10.6 percent.   a. What is the probability that your return on this asset will be less than –9.7 percent in a given year? Use the NORMDIST function in Excel® to answer this question.  b. What range of returns would you expect to see 95 percent of the time?  c. What range of returns would you expect to see 99 percent of the time?

Ⓡ Suppose the returns on a particular asset are normally distributed. Also suppose the asset had an average return of 11.1% and a standard deviation of 23.4%. Use the NORMDIST function in Excel to determine the probability that in any given year you will lose money by investing in this asset. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.): Probability %

You are evaluating various investment opportunities currently available and you have calculated expected returns and standard deviation for five different well-diversified portfolios of risky assets. Portfolio Expected return (%) Standard deviation (%) Q 7.8 10.5 R 10 14 S 4.6 5 11.7 18.5 6.2 7.5 a. For each portfolio, determine the Sharpe ratio. Assume that the risk free rate is 3%. b. Using your analysis in part (a), explain which of these five portfolios is most likely to be the market portfolio. Draw up the Capital Market Line Equation. c. If you are willing to make an investment with a standard deviation of 7%, is it possible for you to earn 7%? d. What is the minimum risk level that would be necessary for an investment to earn 7%. What is the composition of the portfolio along the CML that will generate the 7% return. e. Suppose you are now willing t f. Devise how would you apply portfolio performance evaluation and attribution analysis in practice. Illustrate with suitable…

You are evaluating various investment opportunities currently available and you have calculated expected returns and standard deviation for five different well-diversified portfolios of risky assets. Portfolio Expected return (%) Standard deviation (%) 7.8 10.5 R 10 14 S 4.6 11.7 18.5 6.2 7,5 a. For each portfolio, determine the Sharpe ratio. Assume that the risk free rate is 3%. b. Using your analysis in part (a), explain which of these five portfolios is most likely to be the market portfolio. Draw up the Capital Market Line Equation. c. If you are willing to make an investment with a standard deviation of 7%, is it possible for you to earn 7%? d. What is the minimum risk level that would be necessary for an investment to earn 7%. What is the composition of the portfolio along the CML that will generate the 7% return. e. Suppose you are now willing to make an investment with a standard deviation of 18.2%. Determine what would be the investment proportions in the risk free asset and…

USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Asset (A) Asset (B) E(RA)=10% E(RB) = 15% (σA)=8% (GB) = 9.5% WA = 0.25 WB = 0.75 COVA.B = 0.006 What is the standard deviation of this portfolio? O 13.75% O 8.79% O 12.5% O 7.72%