FIGURE 6.14 One-fund theorem.When both borrowing and lending atthe risk-free rate are allowed, there isa unique fund F of risky assets thatis efficient. All points on the efficientfrontier are combinations of F andthe risk-free asset.The information concerning the 1-year covariances and mean values of therates of return on five risky securities (assets) is shown in the table below.SecurityCovariance V2.3093.627415.1-2326-27-5625612.593621.402222561.80.78-27783.40-5614.79.0217.68474- 23262.60The mean values in the column labeled F are expressed on a percentage basis,whereas the covariances are expressed in units of (percent)? / 100. Forexample, the first security has an expected rate of return of 15.1%, or 0.151,and a variance of return of 0.023. And the covariance between security 1 andsecurity 2 is 0.0093, while the covariance between security 1 and security 3 is0.0062.Assume there is also a risk-free asset with r; = 10%.The one-fund theorem states that there is a single fund F of risky assets suchthat any efficient portfolio can be constructed as a combination of the fundFand the risk-free asset.What is the weight w4of security 4 corresponding to the single fund F?Please round your numerical answer to two decimal places.What is the portfolio variance of the single fund F

It is a portfolio that has minimum risk (standard deviation) and maximum return.

When both borrowing and lending at the risk-free rate are allowed, there is a unique fund F of risky assets that is efficient. All points on the efficient frontier are combinations of F and the risk-free asset. The information concerning the 1-year covaria es of the

When both borrowing and lending at the risk-free rate are allowed, there is a unique fund F of risky assets that is efficient. All points on the efficient frontier are combinations of F and the risk-free asset. The information concerning the 1-year covaria es of the

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter3: Risk And Return: Part Ii

Section: Chapter Questions

Problem 4P

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SITIcation. 24. In the capital asset pricing model, the beta coefficient is a measure of index of the degree of movement of an asset's return in response to a change in risk and an A) diversifiable; the prime rate B) nondiversifiable; the Treasury bill rate C) diversifiable; the bond index rate D) nondiversifiable; the market return 5. Loading document MacBook Air DII DD 80 F7 F8 F9 F2 F3 F4 F5 F6 呂

Question 1 Fill the parts in the above table that are shaded in yellow. You will notice that there are nineline items. Question 2Using the data generated in the previous question (Question 1);a) Plot the Security Market Line (SML) b) Superimpose the CAPM’s required return on the SML c) Indicate which investments will plot on, above and below the SML? d) If an investment’s expected return (mean return) does not plot on the SML, what doesit show? Identify undervalued/overvalued investments from the graph
1. Suppose there are three complex securities and three different states as follows: Security So S₁(1) S₁ (2) S₁ (3) 1.2 3 0 0 1.8 4 2 0 1.2 2 1 1 2 10 4 A B C D (a) Find the arbitrage-free price of asset D. (b) What is the risk-free return compatible with these asset prices?
K possible Risk-Free Rate. What is a risk-free rate? Give an example of an investment with a risk free rate. Why is there no risk? A risk-free rate is: (Select the best answer below.) OA. an interest rate that is not guaranteed on an investment for a specified period. OB. an interest rate guaranteed on an investment for a unspecified period. OC. an interest rate guaranteed on an investment for a specified period. OD. an interest rate that is not guaranteed on an investment for an unspecified period. There is no risk because a risk-free investment: (Select the best answer below.) OA. pays an interest rate guaranteed on an investment for an unspecified period. OB. would pay investors even if the financial institution went into bankruptcy. OC. is a checking account. OD. is a zero interest loan.
The following question illustrates the APT. Imagine that there are only two pervasive macroeconomic factors. Investments X, Y, and Z have the following sensitivities to these two factors: Investments b1 b2 X 1.75 0.25 Y 1.00 2.00 Z 2.00 1.00 Assume that the expected risk premium is 4% on factor 1 and 8% on factor 2. Treasury bills offer zero risk premium. a. According to the APT, what is the risk premium on each of the three stocks? b. Suppose you buy $200 of X and $50 of Y and sell $150 of Z. What is the sensitivity of your portfolio to each of the two factors? What is the expected risk premium? c. Suppose you buy $80 of X and $60 of Y and sell $40 of Z. What is the sensitivity of your portfolio to…
Q: Suppose an investor invests her money in three different assets-lands, bonds and stocks- and three possible states can occur. The return matrix of these three assets by states is as follows: (1.05 1.52 1.37 0.90 1.20 1.10 1.02 1.24 1.16/ Do state prices exist? Is there an arbitrage portfolio? If yes, give one example. If no, explain why
The market risk premium is defined as __________. A. the difference between the return on an index fund and the return on Treasury bills B. the difference between the return on a small firm mutual fund and the return on the Standard and Poor's 500 index C. the difference between the return on the risky asset with the lowest returns and there turn on Treasury bills D. the difference between the return on the highest yielding asset and the lowest yielding asset
With the assistance of an annotated graph, explain when a security is overpriced, under-priced or fairly priced according to the Capital Asset Pricing Model., when the calculated expected rate of return of a security is 12.2% and the actual expected rate of return on a security is 10%.
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4. Given a real rate of interest of 3.2%, an expected inflation premium of 5.1%, and risk premiums for investments A and B of 7.4% and 8.9% respectively, find the following: a. The risk-free rate of return, r; b. The required returns for investments A and B Review Only Click the icon to see the Worked Solution. a. The risk-free rate of return is %. (Round to one decimal place.) b. The required return for investment A is %. (Round to one decimal place.) The required return for investment B is %. (Round to one decimal place.)
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