A diagram of the CML and SML for the market M, risk-free asset ry, an inefficient portfolio P, and acomplete portfolio C is shown below. The diagram is not to scale.E(r)E(13)CML & CALPE(12)PCE(r)M010203PβρSMLMВмThe values of the labeled variables are E[1] = 3.0%, E[12] = 10.3%, E[3] = 16.7%, σ₁ = 17.9%, σ = 30.0%,03 = 44.3%. What is the standard deviation of nonsystematic risk for the complete portfolio σc under theCAPM?O a. 0.1374O b. 0.1180O c. 0.0988d. 0.1105O e. 0.0791O f. 0.0913Og. 0.0858O h. 0.1443

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Answered: A diagram of the CML and SML for the…

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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You are given the following information concerning three portfolios, the market portfolio, and the risk- free asset: Portfolio X Y Z Market Risk-free Rp 14.5% R-squared 13.5 9.1 10.7 5.4 op 36% 31 21 26 0 6p 1.60 1.30 .80 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 72. What percentage of Portfolio Y's return is driven by the market? (Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places.)
answer must be correct
Mean-variance expected utility is given by Eu = e-, where e is expected return, v is the variance of the portfolio and tis risk tolerance. Suppose an investor has risk-loving preferences. What can we say about the value of t? Select one: Ot1 O. t>0 O t=0
Baghiben
Baghiben
If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) | Slope of the line %
Suppose the utility function is U = E(r) - 0.5Ao2. Draw the indifference curve corresponding to a utility level of 0.2 for an investor with a risk aversion coefficient of 3. Please note the vertical line indicates expected return, and plot standard deviation on the horizontal line.
Portfolio Suppose rA ~ N (0.05, 0.01), rB ~ N (0.1, 0.04) with pA,B = 0.2 where rA and rB are CCR’s. a) Suppose you construct a portfolio with 50% for A and 50% for B. Find the variance of the portfolio CCR. b) Find the portfolio expected gross return. c) Find the expected portfolio CCR.
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Y Z Market Risk-free Rp 16.00% бр 32.00% 15.00 27.00 7.30 17.00 11.30 5.80 22.00 0 Bp 1.90 1.25 0.75 1.00 0 Assume that the tracking error of Portfolio X is 13.40 percent. What is the information ratio for Portfolio X? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 4 decimal places. Information ratio
There is one period. Assume a representative agent with utility function U(ct) = αc_t − βc^2_tassume the following: α = 100, β = 1, and δ = 0.97. Consumption at t = 0 is C0 = 24. At t = 1 one of two states θ1 and θ2 eventuate with probability π1 = 0.5, and π2 = 0.5,respectively. There are two complex securities s^1 and s^2.s^1 has a payoff of 23 in θ1 and 27 in θ2.s^2 has a payoff of 20 in θ1 and 32 in θ2.What is the stochastic discount factor mt+1? hint: Recall mt+1 =δU′(ct+1)/U′(ct)
The following expected return and the standard deviation of current returns are known: Security (i) Expected Return Standard Deviation βi A 0.20 0.12 1.1 B 0.12 0.10 0.8 T-Bills 0.05 0 0 Market Portfolio 0.20 0.15 1 Required: Determine which of A or B is over-valued or undervalued.
Consider the following single factor specification: R₁ = a¡ + ßi, Rµ + €i. Where R; is the return on security i, RM is the return on index M (a broad market index) and e, is a zero- mean white noise random variable not correlated with anything. Assume that the single factor specification above correctly describes the return generating processes of all securities. Furthermore, you have the following descriptive statistics for returns of well-diversified Portfolios X, Y, and index M. Portfolio X Portfolio Y Index M Risk-Free Expected return 14% 17% ?? ?? B₁ 1.2 1.6 1 0 a. Assume that the corresponding single factor APT correctly prices Portfolios X and Y. In other words, the expected returns of Portfolios X and Y shown above - 14% and 17% respectively - are equal to their APT-predicted expected returns. Calculate the expected return of Index M and risk-free rate. b. Another well-diversified portfolio Z has a beta, ßz, of 0.8 while its expected return is 10%. Form a portfolio consisting…

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