1)Which of the statement is WRONG? A.The total risk of a security contains risk which is not rewarded. B.Diversification eliminates both idiosyncratic risk and systematic risk. C.There is no clear relationship between the volatility and return of individual stocks. D.The market portfolio contains all shares of all stocks and securities in the market. | 2)Which statement below is an appropriate characterization of the asset beta? A. The asset beta is an estimate of the systematic risk a stock would have once leverage is added into the analysis. B.The asset beta is larger than the equity beta for small stocks. C.The asset beta is readily observable for comparable firms. D. The asset beta is an estimate of the systematic risk a stock would have in the absence of leverage

1)Which of the statement is WRONG? A.The total risk of a security contains risk which is not rewarded. B.Diversification eliminates both idiosyncratic risk and systematic risk. C.There is no clear relationship between the volatility and return of individual stocks. D.The market portfolio contains all shares of all stocks and securities in the market. | 2)Which statement below is an appropriate characterization of the asset beta? A. The asset beta is an estimate of the systematic risk a stock would have once leverage is added into the analysis. B.The asset beta is larger than the equity beta for small stocks. C.The asset beta is readily observable for comparable firms. D. The asset beta is an estimate of the systematic risk a stock would have in the absence of leverage

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter7: Uncertainty

Section: Chapter Questions

Problem 7.13P

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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?
6. Risk-averse people will choose different asset portfolios than people who are not risk averse. Over a long period of time, we would expect thatA.every risk-averse person will earn a higher rate of return than every non-risk averse person.B.every risk-averse person will earn a lower rate of return than every non-risk averse person.C.the average risk-averse person will earn a higher rate of return than the average non-risk averse person.D.the average risk-averse person will earn a lower rate of return than the average non-risk averse person. 7.The real exchange rate equals the relative A.price of domestic and foreign currency.B.price of domestic and foreign goods.C.rate of domestic and foreign interest. D.None of the above is correct. 8.According to the theory of liquidity preference, an increase in the price level causes theA.interest rate and investment to rise.B.interest rate and investment to fall.C.interest rate to rise and investment to fall.D.interest rate to fall and…
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?
Assume that you manage a risky portfolio with an expected return of18% and a standard deviation of 28%. The T-note rate is 2.7%. If your client chooses to invest 75% of a portfolio in your fund and 25% in a T-note bond fund. a. What is the expected return of your client's portfolio? b. What is the standard deviation of your client's prtfolio?
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. Calculate relative risk aversion for this investor. How does relative risk aversion depend on wealth?
a) Explain the practical relevance of the mean-variance model of portfolio selection
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) A risk-loving individual has $1000 to invest. The individual maximizes his/her expected utility and has a monotonic utility function. Show that he/she will never choose a diversified portfolio - that is, show that he/she will either keep the entire $1000 in a safe, or invest the entire $1000 in a risky assesst, for which each $1 invested yields $] with probability p, and SB with probability (1-p), where $B<$1<$J.
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.
Sam, after taking a $200 loan from the bank to finance an investment that pays $1000 50% of the time and $0 50% of the time at a 100% interest, discovers another riskier investment that pays out $5,000 but only 10% of the time, while the other 90% of the time it pays zero. Would the he want to switch to the riskier investment? Question 4 options: Yes because his return has increased No because his liability to the bank has increased No because his return has decreased None of the above
What is the difference if any between an individual gambling at a casino and gambling by buying a stock? What is the difference for society? For an individual, gambling at a casino or by buying a stock A. is the same because they have the same expected values. B. is the same insofar that both involve uncertain outcomes C. different because the expected value of gambling in a casino is higher. 2. For society, gambling at a casino or by buying a stock A. is the same because neither redistribute income. B. is different because buying a stock more directly provides capital for companies to make productive investments. C. is the same because both have no effect on the budget deficit.