Calculate the project's coefficient of variation. (Hint: Use the expected NPV.) Squared dev. Prob. NPV NPVI - E(NPV) Squared deviation times probability 0.24 S6,289.81 $5,829 SS 0.24 -$2,390.74 -S2,852 SS 0.32 -$1,233.33 -S1,694 SS 0.20 -S 400.00 -S861 SS. 1.00 $ 461.11 Variance S_ Standard deviation $ 5.87 6.52 7.25 7.97 8.77
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- Consider the information below, compute the expected return, variance, and standard deviation. Show the solution. Probability Return of Assets 25% .30 25% .050 25% .100 25% .280Suppose the net present values of projects A and B show a distribution as follows. Net Present Value (TL) 750 1000 1250 1500 1750 Project A 0.1 0.15 0.2 0.25 0.3 Project B 0.15 0.25 0.3 0.1 0.2 a) Compare the projects according to the expected value criteria? b) Compare the projects by standard deviation criteria? c) Evaluate A and B projects according to the coefficient of variation criteria?Assume that Allied’s average project has a coefficient of variation (CV) in the range of 1.25 to 1.75.Would the lemon juice project be classified as high risk, average risk, or low risk? What type of risk isbeing measured here?
- Expected return and standard deviation. Use the following information to answer the questions. State of Economy Probability of State Return on Asset R in State Return on Asset S in State Return on Asset T in State Boom 0.25 0.020 0.270 0.490 Growth 0.35 0.020 0.110 0.280 Stagnant 0.22 0.020 0.140 0.020 Recession 0.18 0.020 −0.030 −0.150 a. What is the expected return of each asset? b. What are the variance and the standard deviation of each asset? c. What is the expected return of a portfolio with equal investment in all three assets? d. What is the portfolio's variance and standard deviation using the same asset weights in part (c)? Hint: Make sure to round all intermediate calculations to at least seven (7) decimal places. a. What is the expected return of asset R? (Round to four decimal…What is the Variance of returns for Security XYZ? (no rounding off until the final answer, final answer at 5 decimal places “X.XXXXX”) the following probability distribution for security XYZ is determined: OUTCOME PROBABILITY EXPECTED RETURN A 20% 20% B 80% 25%What is the variance of returns for Security ABC? probability distribution fro security ABC: Outcome Probability Expected Return A 60% 20% B 40% (5%)(no rounding off until the final answer; Format: final answer at 4 decimal places X.XXXX)
- Expected return and standard deviation. Use the following information to answer the questions. State of Economy Probability of State Return on Asset D in State Return on Asset E in State Return on Asset F in State Boom 0.34 0.08 0.29 0.19 Normal 0.55 0.08 0.17 0.11 Recession 0.11 0.08 −0.24 −0.09 a. What is the expected return of each asset? b. What is the variance of each asset? c. What is the standard deviation of each asset? Hint: Make sure to round all intermediate calculations to at least seven (7) decimal places. The input instructions, phrases in parenthesis after each answer box, only apply for the answers you will type. a. What is the expected return of asset D? (Round to four decimal places.) What is the expected return of asset E? (Round to four decimal places.) What is the expected return of asset F?…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.uppose the average return on Asset A is 7.1 percent and the standard deviation is 8.3 percent, and the average return and standard deviation on Asset B are 4.2 percent and 3.6 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 12 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 12 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 −4.38 percent. How likely is it that such a low return will recur at some point in the future? (Do not round…
- 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 0.300a. Use the following information: E[rXOM] = 15.6%, standard deviationXOM = 15.9% E[rMS]=29.7%, standard deviationMS = 35.2% Correlation of returns: ρXOM,MS = 0.139, rf=10% If the optimal amount to invest in the first asset (w) is 0.43, what is the variance of the risky portfolio when w=0.43? (write in decimal format using 5 decimal places) b. When choosing the best point of the POS (the curved line connecting two possible assets you can invest in) you need to find the point that: 1.Has the greatest difference between it’s return and the risk free rate, thus leading to the best return 2. You must solve for the optimal y allocation in order to find the best point on the POS 3. The point with the lowest standard deviation 4. The point with the greatest Sharpe ratioFour assets have the following distribution of returns. Probability Rate of return (%)Occurrence A B C D0.1 10.0 6.0 14.0 2.00.2 10.0 8.0 12.0 6.00.4 10.0 10.0 10.0 9.00.2 10.0 12.0 8.0 15.00.1 10.0 14.0 6.0 20.0 In each asset alculate The expected rate of return, standard deviation, variance coefficient of variation
