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- 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 2.19Suppose you have $2,000 to invest. The market portfolio has an expected return of 10.5 percent and a standard deviation of 16 percent. The risk-free rate is 3.75 percent. How much should you invest in the risk-free asset if you wish to have a 15 percent return on the portfolio?Suppose that you have found the optimal risky combination using all risky assets available in the economy, and that this optimal risky portfolio has an expected return of 0.19 and standard deviation of 0.24. The T-bill rate is 0.05. What fraction of your money must be invested in the optimal risky portfolio in order to form a complete portfolio with an expected return of 0.09? Round your answer to 4 decimal places. For example, if your answer is 3.205 %, then please write down 0.0321..
- ) You estimate that the expected return of your portfolio is 30%. The standard deviation of the return is 25%. a. The returns of your portfolio are normally distributed. What is the probability of your portfolio suffering a loss greater than 20% (i.e., having a return that is less than -20%)? You may find the figure below helpful in answering the question (you can also use Excel). b. How would your answer to part a) change if the returns of your portfolio exhibited negative skewness (relative to the normal distribution). You do not need to do any calculations here - you just need to state whether it would be the same, higher or lower. Please explain your answer for full credit. 68.26% 95.44% 99.74% -30 -20 -10 +1g +20 +30 +40 Rate of return (%) E Focus MacBook ProYou 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 that there is some risky portfolio Q, which has an expected return of 15%, and a standard deviation of 12%. The risk-free rate is 5%. There is also some asset P that is not part of Q. which has an expected return of 10%, and a standard deviation of 7%. You want to invest in some combination of the Q and the risk-free asset to achieve an expected return of 40% What is the standard deviation of your returns Select one O a 42% O b. 16% Oc 40% d 32%
- Suppose that you currently have $100,000 invested in a portfolio with an expected return of 13% and a volatility of 8%. The efficient (tangent) portfolio has an expected return of 17% and a volatility of 10%. The risk-free rate of interest is 1%. Suppose that you want to keep the expected return equal to the current rate of 13%. Accordingly, the level of risk you can expect is: 1.00% 3.75% 4.75% 5.15% None of the aboveAssume the CAPM holds. You are holding a portfolio with the beta of 2 and the standard deviation of 60%. The expected return on the market portfolio is 15% and the standard deviation of returns on the market portfolio is 20%. The risk-free rate is 4%. How much more expected return without increase in the risk of your portfolio can you earn if you make your portfolio efficient? 11% more than I earn now 13% more than I earn now 10% more than I earn now 17% more than I earn now My portfolio is already efficient, I cannot earn more without increasing the risk of my portfolioYou invest $100 in a risky asset with an expected return of 12% and a standard deviation of 15%, and a T-bill that pays 5%. [i]. If you desire to form a portfolio with an expected return of 9%, what percentages of your money must you invest in the T-bill? [ii]. If you desire to form a portfolio with a standard deviation of 9%, what percentages of your money must you invest in the T-bill?
- Assume you have an optimal risky portfolio with an expected return of 17% and a standard deviation of 34%, if the current risk free rate is 5% what is the optimal percentage to invest in ORP (y*)? Please write all percentages as decimals (for example write .242 instead of 24.2%). Use a risk aversion measure (A) of 2. Please use 5 decimal places in your responseSuppose the expected return on the tangent portfolio is 10% and its volatility is 40%.The risk-free rate is 2%.(a) What is the equation of the Capital Market Line (CML)?(b) What is the standard deviation of an efficient portfolio whose expected return of8%? How would you allocate $1,000 to achieve this positionSuppose the assumption behind that the CAPM hold. The risk free rate is 2% and the expected return market is 9% .The standard deviation of the market portfolio is 15% .AAPL has a beta of 1.4 and standard deviation of 35% .Suppose that the standard deviation of your optimal portfolio is 18% . What is its expected return?