You plan to put 50% of your wealth into each assets. What would the expected return be for the portfolio? Asset A B 0.03 0.27 0.135 0.15 returns 12% 15% standard deviations 20% 40%
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- 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%You are going to invest $50,000 in a portfolio consisting of assets X, Y, and Z, as follows; What is the expected return of this portfolio? Calculate the beta coefficient of the portfolioSuppose you are considering investing your entire portfolio in three assets A, B and C. You expect that after you invest, four possible mutually exclusive scenarios will occur, with associated returns (in %) for each of the three assets as listed below. The probability of each scenario is given below. A B C Probabilities return 0.05 0.50% -3.60% 3.60% 0.35 0.60% 2.75% 0.15% 0.45 3.66% 1.45% 0.45% 0.15 -4.80% -0.60% 6.30% Find the expected returns and standard deviations of Asset A, B & C. (HINT: the expected return is given by the probability-weighted sum of returns in each scenario. The expected standard deviation is given by the square root of the probability-weighted sum of squared deviations from the expected return.) Is there any reason to invest in Asset A given its low expected return and high standard deviation?
- Possible 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 0.12Assume that an investor has formed a portfolio of two assets; Asset A and Asset B. if he invested 30% of his wealth in asset A. If the return on asset A is 20% and the return on asset B is 40%, the weight of the wealth invested in asset B is? What is the portfolio return?Find the expected portfolio return and standard deviation if you were to invest 50% of your portfolio in Asset B, 50% in Asset C, with no allocation to Asset A. Compute your answers to the nearest tenth of a basis point. (See attached data file) We know that Asset A: B: C: expected return: 1.16 1.35 1.38 expected standard deviation: 2.88 1.58 2.19
- Now assume that your portfolio only includes a risky asset, Asset C and a risk-free asset, Asset D. If the expected return on Asset D is 18%, the expected return on your po is 12% and the percentage of your wealth allocated to Asset C is 30%, what is the risk-free rate?e. Calculate the Portfolio Return when you know that its composition is as follows: Asset A: Weight 25%, Return 11% Asset B: Weight 45%, Return 14% Asset C: Weight 30%, Return 16%Suppose you consider investing some of your wealth in one of three investment portfolios. Your financial adviser provides you with the following table, which gives the probabilities of possible returns from each: Gold Food Automobile Probability Return Probability Return Probability Return 0.2 15% 0.4 15% 0.2 20% 0.3 8.3% 0.6 5% 0.25 12% 0.2 10% 0.25 6% 0.3 5% 0.2 5% 0.10% Which investment should you choose to maximize your expected return: gold, food, or automobile? If you are risk-averse and have to choose between the gold and the food investments, which should you choose? Why? Explain briefly.
- Darren is considering the following investments; Alphabet, PayZero and FNQ Res.: Probability of return (%) Likely Return Alphabet (%) Likely Return PayZero (%) Likely Return FNQ Res. (%) 20 6 4 9 30 9 7 14 40 16 10 19 10 18 14 26 a) Calculate the expected return for each asset.b) Calculate the expected return on a portfolio comprising each asset weighted as follows Asset Weighting (%) Weighting (%) Alphabet 20 PayZero 55 FNQ Res. 25 c) Explain to Darren the benefit of combining the assets into a portfolio instead of undertaking individual investments in Alphabet, PayZero and FNQ Res. d) Calculate the risk attached to each of the investments proposed in Alphabet, PayZero and FNQ Res. Rank each investment in regard to its risk and return. Discuss the likely range of returns that could eventuate for each asset with a 95% level of accuracy. ONLY ANSWER PART C AND D PLEASEDarren is considering the following investments; Alphabet, PayZero and FNQ Res.: Probability of return (%) Likely Return Alphabet (%) Likely Return PayZero (%) Likely Return FNQ Res. (%) 20 6 4 9 30 9 7 14 40 16 10 19 10 18 14 26 a) Calculate the expected return for each asset. b) Calculate the expected return on a portfolio comprising each asset weighted as follows Asset Weighting (%) Weighting (%) Alphabet 20 PayZero 55 FNQ Res. 25 c) Explain to Darren the benefit of combining the assets into a portfolio instead of undertaking individual investments in Alphabet, PayZero and FNQ Res. d) Calculate the risk attached to each of the investments proposed in Alphabet, PayZero and FNQ Res. Rank each investment in regard to its risk and return. Discuss the likely range of returns that could eventuate for each asset with a 95% level of accuracy.Q5. You are considering two assets with the following characteristics. Return Standard deviation Weights Asset 1 Asset 2 0.15 0.20 0.10 0.20 0.5 0.5 Compute the standard deviation of two portfolios if r1,2 = 0.40 and -0.60, respectively.