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A: State A B Probability Normal 25% 13% 40% Recession 8% 9% 60% Weight 60% 40%
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Consider the case of two financial assets and three market conditions (states). The table
below gives the respective probability for each market condition and the return of each asset
in each one of them.
Market Conditions
| state | Recession | Normal | Expansion |
| Probability of state | 30% | 40% | 30% |
| -30% | 20% | 55% | |
| Return of asset B | -10% | 70% | 0% |
Estimate the equation of the efficiency frontier.
Step by step
Solved in 2 steps
- 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.The probability distributions of expected returns for the assets are shown in the following table: Asset A Prob Return 0.2 -5% 0.4 10% 0.4 15% a) Calculate the expected return for asset A. b) Calculate the standard deviation for asset A.Use the following table to calculate the expected return from the asset. Return Probability 0.1 0.25 0.2 0.5 0.25 0.25 20.00% 18.75% 17.50% 15.00%
- Please calculate CAPM of Asset J with the following information: where, kj = required return on asset j, Rf = risk-free rate of return, (6%) bj = beta coefficient for asset j, (1.75) %3D Rm = market return. (10%) The equation for CAPM is kj = Rf + [bj x (Rm - Rf)] kj = Solve for required return on asset j (kj is CAPM) Please be detailed when answering and show all work, thank you.Assuming the following returns and corresponding probabilities for Asset D: Rate of Return Probability 10% 30% 15% 40% 20% 30% Compute for: a. Expected rate of return b. The standard deviation c. The coefficient of variationPossible returns and their probabilities for an asset is given in the table below. The expected return is 30.25%. Calculate the standard deviation of the asset's return. Probability 0.40 0.45 0.15 13.92% O 17.84 % 18.55% O 19.09% 16.59% Return 0.52 0.17 0.12
- 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%.Consider the following sets of investment projects: (a) Classify each project as either simple or nonsimple.(b) Compute the i* for Project A, using the quadratic equation.(c) Obtain the rate(s) of return for each project by plotting the PW as a function of interest rate.2) Calculate the envelope set (frontier) for the following four assets and show that the individual assets all lie within this envelope set. 123456 A B E A FOUR-ASSET PORTFOLIO PROBLEM C Variance-covariance 0.01 0.30 0.06 -0.04 0.10 0.01 0.03 0.05 0.03 0.06 0.40 0.02 D 0.05 -0.04 0.02 0.50 F Mean returns 6% 8% 10% 15%
- Match each term with the best definition or descriptor. NPV is __________ ( a unitless ratio, a unit of time, a dollar vallue, or a rate of return). IRR is ___________ ( a unitless ratio, a unit of time, a dollar vallue, or a rate of return). Profitability index is __________( a unitless ratio, a unit of time, a dollar vallue, or a rate of return).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?…Compute the expected rate of return on investment i given the followinginformation: Rf = 8%; E(RM) = 14%; βi = 1.0.b. Recalculate the required rate of return assuming βi is 1.8.