Consider a T-bill with a rate of return of 5 percent and the following risky securities: Security A: E(r) = 0.15; Variance = 0.04; Security B: E(r) = 0.15; Variance = 0.02; Security C: E(r) = 0.13; Variance = 0.05; Security D: E(r) = 0.13; Variance = 0.0625. From which set of portfolios, formed with the T-bill and any one of the 4 risky securities, would a risk-averse investor always choose his portfolio? a. The set of portfolios formed with the T-bill and security A.b. The set of portfolios formed with the T-bill and security B.c. The set of portfolios formed with the T-bill and security D.d. The set of portfolios formed with the T-bill and security C.

There are three portfolios and a risk-free asset (i.e., T-bill). A: E()=4% p.a.,STD=10% p.a. B: E(r)=6% p.a., STD=15% p.a. C: E()=8% p.a.,STD=20% p.a. T-bill: E()=1%p.a.STD=0% p.a. rho(AB) = 1.0: ho(AC) = 0.2 rho(B,C) =0.2, in which rho is the correlation coefficient between two return series. Whichportfolio (A, B, or C) yields the highest ratio of risk-premium/standard deviation (i.e., the reward-to-volatility ratio)?Select one:

1. Which of the following statements regarding risk-averse investors is true?a.They accept investments that are fair games.b.They only care about the rate of return.c.They are willing to accept lower returns and high risk.d.They only accept risky investments that offer risk premiums over the risk-free rate.

1. In a world where security prices are jointly normally distributed, rational investors who are risk averse will choose an optimal portfolio from those along an efficient frontier. In other words, given a choice of two portfolios with the same level of expected return, they will choose the portfolio with the lowest standard deviation  a. In the absence of a risk free-security, explain the relationship between an investor's level of risk aversion and the optimal portfolio they would choose on the efficient frontier given classic Modern Portfolio Theory (MPT). (4 marks)  b. In the presence of a risk free-security, explain the relationship between an investor's level of risk aversion and the optimal portfolio they would choose on the efficient frontier given classic MPT. (4 marks)  c. In the absence of a risk free-security, explain how an investor's choice of an optimal portfolio might differ from that in Question 1.a, given "Goals based" behaviour similar to that described by Das et al(2018). (4 marks)

Which of the following portfolios has the least risk?Group of answer choicesA portfolio of U.S. common stocks of large firmsA portfolio of Treasury billsA portfolio of U.S. common stocks of small firmsA portfolio of long-term U.S. government bonds

A portfolio manager is considering 3 portfolios for his client. The first is amidcap stock portfolio, the second is a long-term government andcorporate bond portfolio, and the third is a risk -free asset portfolio.Comprising t- bills that yield a rate of 6.5%. The risk -returncharacteristics of risky portfolio are:Expected Return Standard DeviationStock Portfolio 15% 22%Bond Portfolio 10% 8%The correlation between the return of the two-risk portfolio is 0.10.1.Compute the weight of Bond and equity portfolio in the minimum-variance portfolio formed by combining the two risky portfolios.2.Tabualate and trace the investment opportunity set of the portfoliocomprising the two risky portfolios by varying the investment proportionsfor the stock portfolio from zero to 100% in increments of 20%3. Compute the weight of funds invested in T- bills and two riskyportfolios that together comprise the optimal risky portfolio. What is riskassociated with this optimal portfolio