WITH SOLUTION PLS 2. My. Sy wants to find a new investment for his portfolio. He is looking for a safe investment that providesstable returns. He considers the following options for investment:Stocks: He was offered a stock of ABC Corp. It is a mature company with strong operational andfinancial performance. The volatility (standard deviation or sd) of the stock is 10% and theexpected return (mean) is 14%Exchange-Traded Fund(ETF): The ETF with strong financial performance offers an expectedreturn (mean) of 13% with a volatility (standard deviation or sd) of 7%Bonds: Bonds with excellent credit ratings offer an expected return of 3% with 2% volatility.Question: What do you think is the most suitable investment opportunity for Mr. Sy? Why? Show yoursolution.Note: In order to select the most suitable investment opportunity, you have to calculate the coefficient ofvariation for each option usingvolatility 100%lexpected return)where volatility is the standard deviation and expected return is themeanRemember: In finance, the coefficient of variation allows investors to determine how much volatility, or risk, is assumed incomparison to the amount of returm expected from investments. The lower the coefficient of variation, the better the investmentopportunity.

The coefficient of variety (CV) is the proportion of the standard deviation to the mean. The higher…

financial performance. The volatility (standard deviation or sd) of the stock is 10% and the expected return (mean) is 14% Exchange-Traded Fund(ETF): The ETF with strong financial performance offers an expected return (mean) of 13% with a volatility (standard deviation or sd) of 7% Bonds: Bonds with excellent credit ratings offer an expected returm of 3% with 2% volatility. Question: What do you think is the most suitable investment opportunity for Mr. Sy? Why? Show you solution. Note: In order to select the most suitable investment opportunity, you have to calculate the coefficient of variation for each option using volatility expected return. where yolatility is the standard deviation and expected return is the 100% mcan Remember: In finance, the coefficient of variation allows investors to determine how much volatility, or risk, is assumed in comparison to the amount of return expected from investments. The lower the coefficient of variation, the better the investmen opportunity.

financial performance. The volatility (standard deviation or sd) of the stock is 10% and the expected return (mean) is 14% Exchange-Traded Fund(ETF): The ETF with strong financial performance offers an expected return (mean) of 13% with a volatility (standard deviation or sd) of 7% Bonds: Bonds with excellent credit ratings offer an expected returm of 3% with 2% volatility. Question: What do you think is the most suitable investment opportunity for Mr. Sy? Why? Show you solution. Note: In order to select the most suitable investment opportunity, you have to calculate the coefficient of variation for each option using volatility expected return. where yolatility is the standard deviation and expected return is the 100% mcan Remember: In finance, the coefficient of variation allows investors to determine how much volatility, or risk, is assumed in comparison to the amount of return expected from investments. The lower the coefficient of variation, the better the investmen opportunity.

Economics:

10th Edition

ISBN:9781285859460

Author:BOYES, William

Publisher:BOYES, William

Chapter31: Capital Markets

Section: Chapter Questions

Problem 8E

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Similar questions

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Explain why a financial investor in stocks cannot earn high capital gains simply by buying companies with a demonstrated record of high profits.
QUESTION 2 Elizabeth has decided to form a portfolio by putting 30% of her money into stock 1 and 70% into stock 2. She assumes that the expected returns will be 10% and 18%, respectively, and that the standard deviations will be 15% and 24%, respectively. Describe what happens to the standard deviation of the portfolio returns when the coefficient of correlation ρ decreases. The standard deviation of the portfolio returns decreases as the coefficient of correlation decreases. The standard deviation of the portfolio returns increases as the coefficient of correlation increases. The standard deviation of the portfolio returns decreases as the coefficient of correlation increases. The standard deviation of the portfolio returns increases as the coefficient of correlation decreases.
ANSWER E PLEASE ONLY Consider the following portfolio choice problem. The investor has initial wealth w andutility u(x) = (x^n) / n. There is a safe asset (such as a US government bond) that has netreal return of zero. There is also a risky asset with a random net return that has onlytwo possible returns, R1 with probability 1 − q and R0 with probability q. We assumeR1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w − A isinvested in the safe asset.a) What are risk preferences of this investor, are they risk-averse, riskneutral or risk-loving?b) Find A as a function of w. c) Does the investor put more or less of his portfolio into the risky assetas his wealth increases? d) Now find the share of wealth, α, invested in the risky asset. How doesα change with wealth? e) Calculate relative risk aversion for this investor. How does relativerisk aversion depend on wealth?
ANSWER C AND D PLEASE ONLY Consider the following portfolio choice problem. The investor has initial wealth w andutility u(x) = (x^n) / n. There is a safe asset (such as a US government bond) that has netreal return of zero. There is also a risky asset with a random net return that has onlytwo possible returns, R1 with probability 1 − q and R0 with probability q. We assumeR1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w − A isinvested in the safe asset.a) What are risk preferences of this investor, are they risk-averse, riskneutral or risk-loving?b) Find A as a function of w. c) Does the investor put more or less of his portfolio into the risky assetas his wealth increases? d) Now find the share of wealth, α, invested in the risky asset. How doesα change with wealth?
Consider the expected return and standard deviation of the following two assets: Asset 1: E[r1]=0.1 and s1=0.2 Asset 2: E[r2]=0.3 and s2=0.4 (a) Draw (e.g. with Excel) the set of achievable portfolios in mean-standard deviation space for the cases: (i) r12=-1, (ii) r12=0. (b) Suppose r12=-1. Which portfolio has the minimal variance? What is the variance and expected return of that portfolio? (c) Derive the formula for the variance of a portfolio with four assets.
Consider the following portfolio choice problem. The investor has initial wealth w andutility u(x) = (x^n) /n. There is a safe asset (such as a US government bond) that has netreal return of zero. There is also a risky asset with a random net return that has onlytwo possible returns, R1 with probability 1 − q and R0 with probability q. We assumeR1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w − A isinvested in the safe asset.a) What are risk preferences of this investor, are they risk-averse, riskneutral or risk-loving?b) Find A as a function of w.
Consider the following portfolio choice problem. The investor has initial wealth w andutility u(x) = (x^n) /n. There is a safe asset (such as a US government bond) that has netreal return of zero. There is also a risky asset with a random net return that has onlytwo possible returns, R1 with probability 1 − q and R0 with probability q. We assumeR1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w − A isinvested in the safe asset.1) What are risk preferences of this investor, are they risk-averse, riskneutral or risk-loving?2) Find A as a function of w.
Consider the following portfolio choice problem. The investor has initial wealth w andutility u(x) = (x^n) /n. There is a safe asset (such as a US government bond) that has netreal return of zero. There is also a risky asset with a random net return that has onlytwo possible returns, R1 with probability 1 − q and R0 with probability q. We assumeR1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w − A isinvested in the safe asset. Calculate relative risk aversion for this investor. How does relative risk aversion depend on wealth?
Which statement about portfolio diversification is CORRECT? i) Typically, as more securities are added to a portfolio, total risk would be expected to decrease at an increasing rate.ii) Proper diversification can reduce or eliminate total risk.iii) The risk-reducing benefits of diversification do not occur meaningfully until at least 50-60 individual securities have been purchased.iv) Because diversification reduces a portfolio's total risk, it necessarily reduces the portfolio's expected return.
3. The risk free rate is 3%. The optimal risky portfolio has an expected return of 9% and standard deviation of 20%. Answer the following questions. (a) Assume the utility function of an investor is U = E(r) − 0.5Aσ2. What is condition of A to make the investors prefer the optimal risky portfolio than the risk free asset? (b) Assume the utility function of an investor is U = E(r) − 2.5σ2. What is the expected return and standard deviation of the investor’s optimal complete portfolio?
Suppose Caroline is choosing how to allocate her portfolio between two asset classes: risk-free government bonds and a risky group of diversified stocks. The following table shows the risk and return associated with different combinations of stocks and bonds.CombinationFraction of Portfolio in Diversified StocksAverage Annual ReturnStandard Deviation of Portfolio Return (Risk)(Percent)(Percent)(Percent)A 0 1.50 0B 25 3.00 5C 50 4.50 10D 75 6.00 15E 100 7.50 20There is a relationship between the risk of Caroline's portfolio and its average annual return.Suppose Caroline currently allocates 75% of her portfolio to a diversified group of stocks and 25% of her portfolio to risk-free bonds; that is, she chooses combination D. She wants to reduce the level of risk associated with her portfolio from a standard deviation of 15 to a standard deviation of 5. In order to do so, she must do which of the following? Check all that apply. Sell some of her stocks and use the proceeds to purchase…