a
Adequate information:
Risk-free Asset E(rp)=11%
sp=15%
rf=5%
Expected
To compute: The proportion of investment in the risky portfolio (P) along with the proportion of risk-free asset.
Introduction:
Capital Allocation Line (CAL): It states the prevailing
Where
E(rc)= Expected return of the portfolio
rf=Risk free rate
y=Proportion invested
E(rp)=Expected return of the risky portfolio
Risk-aversion: It can be described as the preference of sure return or outcome over an investment which has either equal value or even more high value.
b
Adequate information:
Risk-free Asset E(rp)=11%
sp=15%
rf=5%
Expected rate of return or complete portfolio=8%
To compute: The standard deviation of the rate of return related to client’s portfolio.
Introduction:
Capital Allocation Line (CAL): It states the prevailing market equilibrium conditions for various portfolios which consist of both risky and risk-free investment. The formula used to calculate CAL is as follows:
Where
E(rc)= Expected return of the portfolio
rf=Risk free rate
y=Proportion invested
E(rp)=Expected return of the risky portfolio
Risk-aversion: It can be described as the preference of sure return or outcome over an investment which has either equal value or even more high value.
c
Adequate information:
Risk-free Asset E(rp)=11%
sp=15%
rf=5%
Expected rate of return or complete portfolio=8%
To compute: The standard deviations of another client with the condition that limit does not cross more than 12% and compare the risk aversion of both the clients.
Introduction:
Capital Allocation Line (CAL): It states the prevailing market equilibrium conditions for various portfolios which consist of both risky and risk-free investment. The formula used to calculate CAL is as follows:
Where
E(rc)= Expected return of the portfolio
rf=Risk free rate
y=Proportion invested
E(rp)=Expected return of the risky portfolio
Risk-aversion: It can be described as the preference of sure return or outcome over an investment which has either equal value or even more high value.
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- You can invest in a portfolio of two assets: the riskfree asset with rate of return 10%, and a risky portfolio with expected return 14% and stdev 35%. You optimally choose to invest equal amount in the two assets. What is your utility?arrow_forwardConsider the following information: The possible rate of return for a portfolio for an investment is shown below.Probability Possible rate of return 0.25 0.09 0.25 0.11 0.25 0.13 0.25 0.16What is the expected rate of return for the investment?arrow_forwardConsider the following performance data for a portfolio manager: Benchmark Portfolio Index Portfolio Weight Weight Return Return Stocks 0.65 0.7 0.11 0.12 Bonds 0.3 0.25 0.07 0.08 Cash 0.05 0.05 0.03 0.025 a.Calculate the percentage return that can be attributed to the asset allocation decision. b.Calculate the percentage return that can be attributed to the security selection decision.arrow_forward
- 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?arrow_forward(Portfolio VaR) Suppose there are two investments A and B. Either investment A or B has a 4.5% chance of a loss of $15 million, a 2% chance of a loss of $2 million, and a 93.5% change of a profit of $2 million. The outcomes of these two investments are independent of each other.arrow_forwardYou can invest in a portfolio of two assets: the riskfree asset with rate of return 6%, and a risky portfolio with expcected return 16% and stdev 30%. You optimally choose to invest equal amount in both assets. What is your risk aversion (keep 2 decimal places)? A=arrow_forward
- Consider an economy with a (net) risk-free return r1 = 0:1 and a market portfolio with normally distributed return, with ErM = 0:2 and 2M = 0:02. Suppose investor A has CARA preferences, with risk aversion coe¢ cient equal to 1 and an endowment of 10. a) Write down the maximization problem for the investor. b) Determine the amount invested in the risky portfolio and in the risk-free asset. c) Suppose another investor (B) has a coe¢ cient of absolute risk aversion equal to 2 (and the same endowment 10). Compute his optimal portfolio and compare it to that of investor A. Explain the di§erent results for investors A and B. d) Finally, consider Investor C with mean-variance preferences Ec V ar(c) (and endowment 10). Compute his optimal portfolio and compare it to that of investors A and B (as obtained in questions b and c). Compare your result with those obtained for investors A and B.arrow_forwardConsider the following information for four portfolios, the market, and the risk-free rate (RFR): Portfolio Return Beta SD A1 0.15 1.25 0.182 A2 0.1 0.9 0.223 A3 0.12 1.1 0.138 A4 0.08 0.8 0.125 Market 0.11 1 0.2 RFR 0.03 0 0 Refer to Exhibit 18.6. Calculate the Jensen alpha Measure for each portfolio. a. A1 = 0.014, A2 = -0.002, A3 = 0.002, A4 = -0.02 b. A1 = 0.002, A2 = -0.02, A3 = 0.002, A4 = -0.014 c. A1 = 0.02, A2 = -0.002, A3 = 0.002, A4 = -0.014 d. A1 = 0.03, A2 = -0.002, A3 = 0.02, A4 = -0.14 e. A1 = 0.02, A2 = -0.002, A3 = 0.02, A4 = -0.14arrow_forwardYour client, Bo Regard, holds a complete portfolio that consists of a portfolio of risky assets (P) and T-Bills. The information below refers to these assets. What is the expected return of the complete portfolio? Group of answer choices a. 10.32% b. 5.28% c. 9.62% d. 8.44% e. 7.58%arrow_forward
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