If the standard deviation of returns on the market is 10 percent, and the beta of a well- diversified portfolio is 1, calculate the standard deviation of this portfolio. O 10% O 20% 30% O Cannot be determined!
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- The following information relate to the two: Projects A and B of Augustina's Co.Ltd. State of the Economy Probability Returns of A (%) Returns of B (%) Boom Normal Recession 0.4 0.3 0.3 20 15 10 9 12 18 A. Calculate the expected return and standard deviation of Projects A and B B. If project A and B are combined in the ratio 6:4, what is the expected return and standard deviation of the portfolioExample 10: P and Q two securities, with expected returns of 15% and 24% respectively, and standard deviation of 35% and 52% respectively. Calculate the standard deviation of a portfolio weighted equally between the two securities if their correlation is -0.9.Professor Heinz has given the same multiple-choice final exam in his Principles of Microeconomics class for many years. After examining his records from the past 10 years, he finds that the scores have a mean of 89 and a standard deviation of 19. Use an appropriate normal transformation to calculate the probability that a class of 36 students will have an average greater than 80 on Professor Heinz's final exam. Multiple Cholce 0.0014 0.3073 0.6903 0.9975
- The following information relate to the two: Projects A and B of Augustina’s Co.Ltd. State of the Economy Probability Returns of A (%) Returns of B (%) Boom 0.4 20 9 Normal 0.3 15 12 Recession 0.3 10 18 1.Calculate the expected return and standard deviation of Projects A and B 2.If project A and B are combined in the ratio 6:4 , what is the expected return and standard deviation of the portfolioBlack Water CO(BWO) TATA Steel (TATA) 1.Estimate the average daily return of each fund using the arithmetic average method. (EXCEL) Below are the historical closing prices for the two funds above. 2. Calculate the standard deviation of each fund (EXCEL) Date BWO TATA 3. Calculate the correlation between the two funds 10/20/2016 113.3374 113.6971 4. Calculate the covariance between the two funds using a) Excel function, Covariance.S 10/21/2016 113.7611 113.6408 and b) using formula (Correlation multiplied by standard deviations of both funds. 10/24/2016 115.1283 114.3635 10/25/2016 114.7624 113.5094 10/26/2016 113.9825 112.383 10/27/2016 113.4626 111.0971 10/28/2016 112.7501 110.7873 10/31/2016 112.6442 111.2285 11/1/2016 111.7969 109.8675 11/2/2016 110.9014 108.4689 11/3/2016 109.8134 107.9433 11/4/2016 109.4282 108.6379 11/7/2016 112.0279 111.2942 11/8/2016 112.7597 111.5852 11/9/2016 113.2797 115.0206 11/10/2016 111.4502 116.8603 11/11/2016 111.4984 119.5448A book seller has the following schedule of weekly. demand for the book "Elementary Quantitative Methods" No. of copies on demand : Probability : 100 200 300 400 500 .02 .05 .09 .12 .20 .15 Find the expected number of copies demanded per week.
- 3(ii) A bank sets up a Special Purpose Vehicle (SPV) for a CDO issue. The SPV wants to understand the risks that they may face, so they run simulations of the annual cash flows out of their portfolio. Selected results of the simulation are shown in the table below. Annual Portfolio Cash Flows Mean Std. Dev. Min. 5th 10th Percentiles 15th 85th 90th (1,172) 16,651 (7,760) (6,800) (4,880) (3,920) 2,480 95th Max. 14,320 15,280 26,400 The SPV wants to hold risk capital to cover its losses to the 95th percentile, and expected CDO payouts for the next five years add up to $100m. How much capital would you advise them to hold, and why?A certain brokerage house wants to estimate the mean daily return on a certain stock. A random sample of 12 days yields the following return percentages.−1.81, 1.54, 1.52, −2.58, −2.3, 0.97, 0.93, −1.06, 1.04, 0.2, −0.63, −2.75 Send data to calculator If we assume that the returns are normally distributed, find a 90% confidence interval for the mean daily return on this stock. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: ? Upper limit: ?Consider the rate of return of stocks ABC and XYZ. Year 1 2 SAWN T 3 4 5 FABC 24% 10 17 4 1 ABC XYZ a. Calculate the arithmetic average return on these stocks over the sample period. (Round your answers to 2 decimal places.) rxyz 34% 12 18 1 -9 Arithmetic Average ABC XYZ % % b. Which stock has greater dispersion around the mean return?
- Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA= 2.0% + 0.40RM + eA RB = -1.8%+ 0.9RM + eB OM = 15%; R-squareA = 0.30; R-squareB = 0.22 What is the standard deviation of each stock? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Stock A Stock B Standard Deviation % %Risk taking is an important part of investing. In order to make suitable investment decisions on behalf of their customers, portfolio managers give a questionnaire to new customers to measure their desire to take financial risks. The scores on the questionnaire are approximately normally distributed with a mean of 49 and a standard deviation of 16 . The customers with scores in the bottom 15% are described as "risk averse." What is the questionnaire score that separates customers who are considered risk averse from those who are not? Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.Asset A offers an expected rate of return of 10% with a standard deviation of 25%. Asset B offers an expected rate of return of 5% with a standard deviation of 30%. Assume that the risk-free interest rate is zero. Suppose Assets A and B are perfectly positively correlated. Draw a graph illustrates why a rational investor would or would not hold Asset B in one's portfolio. [Hint: Can provide verbal support to the graph, if necessary, in no more than two lines.]