TAN Co. is assessing two options: Project A and Project B. If the standard deviation for A is 5.22 %, what is A's co-efficient of variation (CV)? State as decimal. Scenario Analysis Boom Most likely Recession Probability 30% 50% 20% A B 0.15 0.12 0.08 0.08 0.00 0.03 Avg. return Range
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- 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 -S1,233.33 -S1,694 $$ 0.20 -$ 400.00 -$861 SS 1.00 $ 461.11 Variance S Standard deviation $ 5.87 6.52 7.25 7.97 8.77Calculate the project's coefficient of variation. (Hint: Use the expected NPV.) Squared dev. Prob. NPV NPVI - E(NPV) Squared deviation times probability 0.24 $6,289.81 $5,829 S$ 0.24 -$2.390.74 -$2,852 S$ 0.32-$1,233.33 -S1,694 $S 0.20 -$ 400.00 -$861 $S 100 $ 461.1i Variance $. Standard deviation S 5.87 6.52 7.25 7.97 8.77D4) Give the following true population SIM (not estimated SIM): Ri-Rf=0.1%+1.2(Rb-Rf)+ϵi When estimating this true SIM, what will be the estimated value of alpha (the intercept), when the variance of ϵi is small? Theriskless rate is 0% and the market risk premium is 0.5%. Your answer should be in percentage points. Select one: a.0 b. near 0.1% but not exactly 0.1% c. 0.5% d. 0.1% e. near 0.5% but not exactly 0.5%
- 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% .280(8) Consider projects A and B with the following forecasted net present values sensitive to the evolution of the economy: Scenario 1 (р-0.3) II (р-0.7) A (mil. Lei) 3 4 B (mil. Lei) 2 6. Use the coefficient of variance to select the preferable project. CVA=..... CVB=......Alternatives A C D E alternatives have the following returns and standard deviations of returns. Alternatives A B C D E Returns: Expected Value $ 1,460 1,370 10,300 1,180 67,600 Coefficient of Variation Standard Deviation Calculate the coefficient of variation and rank the five alternatives from the lowest risk to the highest risk by using the coefficient of variation. (Round your answers to 3 decimal places.) Rank $ 780 1,490 9,100 1,060 21,500 1469 47 meld
- Assume that you have obtained the following information for Asset A: Rate of Return Probability 5.5% 25% 7.25% 55% 11% 20% Compute the expected rate of return for Asset A, using the information provided in thechart above Assume that the standard deviation of the expected returns for Asset A is 1.87%. With information and the expected rate of return that you calculated for Asset A in Part A of this problem, compute the co-efficient of variation for Asset A.APT An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk-free rate is 6%, the expected return on the first factor (r1) is 12%, and the expected return on the second factor (r2) is 8%. If bi1 = 0.7 and bi2 = 0.9, what is Crisp’s required return?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
- Boom Nasional Berhad, find the standard deviation. PROBABILITY RETURN 0.35 8% 0.20 3% 0.20 20% 025 15%Assuming that the rates of return associated with a given asset investment are normally distributed; that the expected return, r, is 18.7%; and that the coefficient of variation, CV, is 1.88, answer the following questions: a. Find the standard deviation of returns, sigma Subscript rσr. b. Calculate the range of expected return outcomes associated with the following probabilities of occurrence: (1) 68%, (2) 95%, (3) 99%.Analyze investment M and investment J using the below. Scenario Probability M Return J Return Strong .30 18% 20% Normal .30 15% 12% Weak .40 9% 5% 1. What is the range for M? 2. What is the average exp. return for M ? 3. What is the standard deviation* M? 3.85 (given) 4. What is the CV for M? 5. What is the range for J? 6. What is the average exp. return for J? 7. What is the standard deviation J? 6.22 (given) 8. What is the CV for J? 9. Which is the better choice?