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- Security A has the following probability distribution of returns:Scenario Probability Return1] 0.1 15%2] 0.8 25%3] 0.1 35%What is the variance for Security A?A 0.002B 0.020C 0.200D 0.300M102LON/JAN 3. Security A has the following probability distribution of returns: Scenario Probability Return 1 0.1 15% 2 0.8 25% 0.1 35% What is the variance for Security A? a. 0.002 b. 0.020 С. 0.200 d. 0.300 3.Part a State Pr(a) ra Pr(b) rb 1 0.2 10% 0.25 12% 2 0.6 15% 0.40 20% 3 0.2 20% 0.35 18% Given the probability distribution above, determine (Calculate) and compare the: Expected return (means) Variance Standard deviation Part b How important is risk to returns and what are the key elements that must be analyzed in this regard before an investment decision is made? Discuss in no more than 200 words.
- Boom Nasional Berhad, find the standard deviation. PROBABILITY RETURN 0.35 8% 0.20 3% 0.20 20% 025 15%For investment A, the probability of the return being 20.0% is 0.5, 10.0% is 0.4, and -10.0% is 0.1 Compute the standard deviation for the investment with the given information. (Round your answer to one decimal place.) a. 85.00% b. 15.00% c. 34.00% d. 17.00% e. 9.00%Su 2 The standard deviation of return on investment A is 19%, while the standard deviation of return on investment B is 14%. If the covariance of returns on A and B is 0.004, the correlation coefficient between the returns on A and B is 00:05:46 臺 Mc Graw Hill Delivery co ler.
- Given the following probability distribution, compute for Outcome Probability Expected Return 20% 10% 2 60% 15% 3 20% 20% 1. the expected return a. 10% b. 12% С. 15% d. 20% 2. Standard deviation of returns а. 5.50% b. 6.18% C. 3.16% d. 10.00%What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (SDi), covariance (COVij), and asset weight (Wi) are as shown below? Asset (A) E(R₂) = 25% SDA = 18% WA = 0.75 COVA, B = -0.0009 Select one: A. 13.65% B. 20 U ODN 20.0% C. 18.64% D. 22.5% Asset (B) E(R₂) = 15% SDB = 11% WB = 0.252. The following table gives information on the return and variance of assets A and B, whose covariance is 0.0003: A B 0} 0,0009 0,0012 E (R₂) 0,05 0,06 a. Does the portfolio (1/3 of A and 2/3 of B) dominate the portfolio (2/3 of A and 1/3 of B)? b. Does the portfolio (1/2, 1/2) belong to the efficient frontier? c. If there were the possibility of lending and borrowing at 2%, would the portfolio (1/2, 1/2) belong to the new efficient frontier?
- Exhibit 7.1USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM Rates of Return Year RA Computer Market Index 1 13 17 2 9 15 3 –11 6 4 10 8 5 11 10 6 6 12 Refer to Exhibit 7.1. The equation of the characteristic line for RA is a. RRA = –7.98 + 1.1023RMI. b. RRA = –9.41 + 1.3893RMI. c. RRA = –4.92 – 0.7715RMI. d. RRA = 11.63 + 1.2195RMI. e. RRA = 4.92 + 0.7715RMI.omplete the table below using CAPM model Case Expected return RF RM Beta B 9% 8% 10% ?Example 3 Inns oont alafrA Following Example 2, consider a porfolio with three assets S1, S2 and S3 which have expected rates of return 0.1,0.15 and 0.2 respectively, and variance-covariance matrix odni tanoma bszt a aitevi ot botoly 0.1 0.1 -0.1 0.1 0.2 0.1 ololles V = -0.1 0.1 0.6 vo ) isaas sod slais a at gaiteoo ottg ndi oda vodT (aldanoitesup als ot-lais wod ibuadala abnod on a) What is the optimal portfolio when up = worod of sidad = 0.2. adt yhalinie ini ba moe ja SOLUTION lo ano ot b) Use this piece of information and the earlier optimal portfolios from la aao e. Example 2 to find the quadratic equation relating of and up. ni bstni sd SOLUTION tar oad o bo s e) Hence draw a plot of the solutions, and identify the frontier port- Ldon to slar folios. it SOLUTION ods Btvni gatela dt