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- You are going to invest $20,000 in a portfolio consisting of assets X, Y, and Z, as follows: Asset Annual Return Probability Beta Proportion X 10% 0.50 1.2 0.333 Y 8% 0.25 1.6 0.333 Z 16% 0.25 2.0 0.333 Given the information in Table 5.2, The beta of the portfolio in Table 8.2, containing assets X, Y, and Z is ________. Select one: a. 1.6 b. 2.0 c. 1.5 d. 2.4Assume you have two assets A and B. You know the expected return and standard deviation of returns for each asset. This information is shown in the table below. 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%Suppose 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?
- Consider a position consisting of a $100,000 investment in asset A and a $100,000 investment in asset B. Assume that the daily volatilities of both assets are 1% and that the coefficient of correlation between their returns is 0.3. What is the 5-day 99% VaR for the portfolio?Consider two assets, A and B. A earns +4%, -5%, or +3%, in scenarios 1, 2, and 3. B earns -5%, +3%, or +4%, in scenarios 1, 2, and 3. Each scenario is equally likely. Compute the expected rates of return and SD for each asset, A and B. Now, consider a portfolio of assets A and B called AB, where the investor holds fraction 59% of his portfolio in A and fraction (1-59%) in B. Compute the standard deviation of AB. Compare the new standard deviation to that of each asset's individual standard deviation. What was the change in standard deviation between asset A and portfolio AB? StDev(AB) - StDev(A). Report answer to the four decimal place.Set up the complete formula for Dollar Weighted Return (DWR) for the following portfolio including final value of the portfolio. Year 0 1 2 3 4 Actions at the ending of the year (Yr0)Starting with $1000 (Yr1)Adding $100 (Yr2)Withdrawing $200 (Yr3)Adding $300 (Yr4)Ending Value = ? ROR during each Yr (Yr0) - (Yr1) 8% (Yr2)-4% (Yr3) 9% (Yr4) 3% A. Calculate the time weighted return (TWR) Complete Questions with respect to Excel
- An investor has an investment that has produced the following returns: Year 1: 10%, Year 2: 5%, Year 3: -7%, Year 4: -3%, Year 5: 12%. Calculate the arithmetic mean return on this investment. O 6.75 O 17.00 3.40 8.50You will have a portfolio that is only comprised of two assets. You plan to allocate 47.1% into asset A, which has an expected return of 12.1%. The remainder of your portfolio will be allocated to asset B, which has an expected return of 5.9%. What is your expected return on this two-asset portfolio? State your answer as a percentage with two decimal places (i.e., 13.21, not 0.1321).if you were to invest 40% in A and 60% in B, what would be the expected return of your portfolio? Enter return in decimal form, rounded to 4th digit, as in "0.1234"
- Let R be a random variable taking three possible values: 7% with probability 0.4, 5% with probability 0.25, -2% with probability 0.35. Consider a 3-year investment, where you invest £10 at the start for the first year and £5 at the start of the second year and £10 at the start of the third year. You can choose between two types of investments, type A and type B. In type A the annual effective rates for years 1, 2 and 3 are assumed to be independent and identically distributed random variables {R}k=1,2,3 with distribution given by the r.v. R as described above. In type B the annual effective rates for the three years are the same rate, which is assumed to be a uniform random variable à on the interval [-3%, 5%]. (a) Which investment type would you choose if you wanted to maximise the expected accumulate value after 3 years ? Justify your choice and provide details of your calculations. (b) Which investment type would you choose if you wanted to minimise your risk after 3 years? Assume…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 portfolio7. Future values (S2.1) Compute the future value of a $100 investment for the following combinations of rates and times. = 6%, t = 10 years. b. r= 6%, t = 20 years. c. r = 4%, t = 10 years. d. r = 4%, t = 20 years. a. r =