Investors can allocate their wealth between (i) the risk-free asset, and (ii) one of the three risky assets asshown below. For example, 20% in risk-free and 80% in A, or 30% in risk-free and 70% in B, or 40% in risk-free and 60% in C, and so on.Risky Asset E(r)ABStdev20% 25%30% 35%40% 45%The risk-free rate is 5%. If investors target an expected annual return of 30%, what is the lowest stdev thatcan be achieved among all the possible allocations?Show your answer in % and round to two decimals (e.g. xx.xx%).

Expected rate is the rate that can be expected from a portfolio based on the composition of the…

asset, risky as shown below. For example, 20% in risk-free and 80% in A, or 30% in risk-free and 70% in B, or 40% in ris Free and 60% in C, and so on. Risky Asset E(r) Stdev A B C 20% 25% 30% 35% 40% 45% The risk-free rate is 5%. If investors target an expected annual return of 30%, what is the lowest stdev the can be achieved among all the possible allocations? Show your answer in % and round to two decimals (e.g. xx.xx%).

asset, risky as shown below. For example, 20% in risk-free and 80% in A, or 30% in risk-free and 70% in B, or 40% in ris Free and 60% in C, and so on. Risky Asset E(r) Stdev A B C 20% 25% 30% 35% 40% 45% The risk-free rate is 5%. If investors target an expected annual return of 30%, what is the lowest stdev the can be achieved among all the possible allocations? Show your answer in % and round to two decimals (e.g. xx.xx%).

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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2. Assuming the following: Average Return (Risky Portfolio) 3.86% Standard Dev (Risky Portfolio) 10.56% Average Risk Free Rate 2.18% Return on Risk Free Asset Avg 4.15% Using the formula: E(rc)=rf + y* (E(rp) - rf) Solve for: 1. % of Risky Assets (y): 2. % of Risk Free Assets (1-y): Note: You wish to generate a 7% return for your complete portfolio E(rc)
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?
Capital asset pricing model (CAPM) For the asset shown in the following table, use the capital asset pricing model to find the required return. (Click on the icon here O in order to copy the contents of the data table below into a spreadsheet.) ne Risk-free Market rate, R return, rm Beta, b nts 4% 0.7 1% The required return for the asset is %. (Round to two decimal places.) eТext edia Librai ial Calculat er Resource Enter your answer in the answer box and then click Check Answer. Check Answer mic Study ules Clear All All parts showing 10: DExercise(14); ools > This course (Introduction to Finance (FIN-101-D02) Distance Spring 2021) is hased on Zutter/Smart Princinles of Managerial Finance Rrief Re 4/13 O Type here to search insert
Security A, standard deviation = 25% beta = 1.5 Security B, standard deviation = 40% beta = 1/3 If both securities have the same return, which should I invest in? Explain using knowledge of Capital Asset Pricing Model
What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (SDi), covariance (COVij), and asset weight (Wi) are as shown below? Asset (A) E(R₂) = 25% SDA = 18% WA = 0.75 COVA, B = -0.0009 Select one: A. 13.65% B. 20 U ODN 20.0% C. 18.64% D. 22.5% Asset (B) E(R₂) = 15% SDB = 11% WB = 0.25
What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (SDi), covariance (COVij), and asset weight (Wi) are as shown below? Asset (A) E(R₁) = 10% SDA = 8% WA = 0.25 COVAB = 0.006 Asset (B) E(R₂) = 15% SDB = 9.5% WB = 0.75
b. Suppose that you have the following information of three risky assets. Security Return (%) Standard Covariance with Deviation (%) A B A 11 10 4 14 6. 30 17 Risk free rate = 6%, (assume that A = 6). Requirement: Find the optimal portfolio weight of risky assets. How do you allocate the capital between optimal portfolio of risky asset and risk-free assets.
What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (SDi), covariance (COVij), and asset weight (Wi) are as shown below? Asset (A) E(R₂) = 10% SDA = 8% WA = 0.25 COVAB = 0.006 Select one: A. 13.75% B. 7.72% C. 12.5% D. 8.79% Asset (B) E(RB) = 15% SDB = 9.5% WB = 0.75
What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (SDi), covariance (COVij), and asset weight (Wi) are as shown below? Asset (A) E(RA) = 25% SDA = 18% WA = 0.75 COVAB= -0.0009 Asset (B) E(R₂) = 15% SDB = 11% W₁ = 0.25
Assume that you are considering investing in two risky assets, namely PKX and XIY, with the following probability distribution. Assume that short selling is allowed. Stock РКХ XIY State of the world Probability Return (%) Return (%) 1 0.25 18 2 0.30 5 -3 3 0.20 12 15 4 0.10 4 12 0.15 6 1 1. Calculate the expected return and risk for each of these assets. Interpret. 2. Consider a portfolio that contains PKX and XIY. Note that XIY comprises 30% of the portfolio. What is the expected return and risk of this portfolio? 3. How will your answer in (2) change if XIY comprises 20% of the portfolio only? Comment on your findings.
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.
Using the information provided in the pictures: Let’s assume, you want to construct a portfolio of risky and riskfreeassets. You wish to generate a 7% return for your complete portfolio E(rc). Using the Capital AllocationLine (CAL) equation - E(rc) = rf + y(E(Rp) - rf)a. Calculate the portion that you need to invest in risky assets and (b). in risk-free assets.c. Calculate the standard deviation of the portfolio.

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