Question

In: Finance

Consider a T­bill with a rate of return of 5% and the following risky securities: Security...

Consider a T­bill with a rate of return of 5% and the following risky securities:

Security A: E(r) = 0.15; Standard deviation= 0.2

Security B: E(r) = 0.10; Standard deviation= 0.15

Security C: E(r) = 0.17; Standard deviation= 0.28

Security D: E(r) = 0.13; Standard deviation= 0.25

If an investor wants to use the risk-free asset and one of the risky assets to form a complete portfolio, which risky asset should the investor choose?

Group of answer choices

Security B

Security D

Security C

Security A

Solutions

Expert Solution

Answer: Security A

Risk adjusted return: (E. Return –Risk free return)/Risk

Security A : (15% - 5%) / 20% = 0.5

Security B : (10% - 5%) / 15% = 0.33

Security C : (17% - 5%) / 28% =0.43

Security D : (13% - 5%) / 25% = 0.32

Security A had a higher risk-adjusted return, meaning that it gained less per unit of total risk than others.


Related Solutions

13) Consider a Treasury bill with a rate of return of 5% and the following risky...
13) Consider a Treasury bill with a rate of return of 5% and the following risky securities: Security A: E(r) = .15; variance = .0400 Security B: E(r) = .10; variance = .0225 Security C: E(r) = .12; variance = .1000 Security D: E(r) = .13; variance = .0625 The investor must develop a complete portfolio by combining the risk-free asset with one of the securities mentioned above. The security the investor should choose as part of her complete portfolio...
Consider the following information on two securities Expected rate of return on Security Ri = 0.10...
Consider the following information on two securities Expected rate of return on Security Ri = 0.10 Expected rate of return on Security Rj = 0.20 Variance of ROR of security Ri = 0.16 Variance of ROR of security Rj = 0.25 Covariance between Ri and Rj = -0.04 (minus 0.04) Obtain the the investment fractions to obtain the Global Minimum Variance Portfolio Expected rate of return on Global Minimum Variance Portfolio Variance of Global Minimum Variance Portfolio Is your portfolio...
Consider two perfectly negatively correlated risky securities, A and B. Security A has an expected rate...
Consider two perfectly negatively correlated risky securities, A and B. Security A has an expected rate of return of 16% and a standard deviation of return of 22%. B has an expected rate of return of 10% and a standard deviation of return of 24%. The weight of security B in the minimum-variance portfolio is _________. a 62.01% b 47.83% c 45.75% d 43.84%
Use the SML to determine the required rate of return for the following securities: Security 1...
Use the SML to determine the required rate of return for the following securities: Security 1 has a beta of 5, Security 2 has a beta of 0.5. The risk free rate is 0.025 and the market required rate of return is 0.1 Suppose that the expected rate of return for Security 1 is 0.13 and the expected rate of return for Security 2 is 0.10. Explain what happens in this market, if anything. Suppose that the required rate of...
6. Consider the following data for two securities in the same industries. Security Beta Implied Rate...
6. Consider the following data for two securities in the same industries. Security Beta Implied Rate of Return A 1.70 10% B .60 8% I have answered part A but am struggling with part B,C,D 6. a.     What are the required rates of return for each of these securities when the average riskless rate is 3.5% and average return on the market is 8.5%? For A: 12% For B: 9.5% 6.b.         Show the amount of the risk adjusted excess return,...
Consider the following information: • A risky portfolio contains two risky assets. • The expected return...
Consider the following information: • A risky portfolio contains two risky assets. • The expected return and standard deviation for the first risky asset is 18% and 25%, respectively. • The expected return and standard deviation for the second risky asset is 18% and 25%, respectively. • The correlation between the two risky assets is .55. • The expected on the 10-year Treasury bond is 3%. Find the optimal complete portfolio. Assume the investor’s level of risk aversion is 3....
Consider the following information: A risky portfolio contains two risky assets. The expected return and standard...
Consider the following information: A risky portfolio contains two risky assets. The expected return and standard deviation for the first risky asset is 18% and 25%, respectively. The expected return and standard deviation for the second risky asset is 18% and 25%, respectively. The correlation between the two risky assets is .55. The expected on the 10-year Treasury bond is 3%. Find the minimum variance portfolio. Make sure to provide the weights, excepted return, and standard deviation of the portfolio...
Problem 5-13 Assume that you manage a risky portfolio with an expected rate of return of...
Problem 5-13 Assume that you manage a risky portfolio with an expected rate of return of 12% and a standard deviation of 47%. The T-bill rate is 4%. Your risky portfolio includes the following investments in the given proportions: Stock A 31 % Stock B 31 % Stock C 38 % Your client decides to invest in your risky portfolio a proportion (y) of his total investment budget with the remainder in a T-bill money market fund so that his...
Consider two perfectly positively correlated risky securities, A and B
Consider two perfectly positively correlated risky securities, A and B. Security A has an expected rate of return of 16% and a standard deviation of return of 20%. B has an expected rate of return of 10% and a standard deviation of return of 30%. Solve for the minimum variance portfolio (i.e., what are the weights in A and B of the minimum variance portfolio). What is the variance of this portfolio?
You are the manager of a portfolio of risky securities. Your portfolio has an expected return...
You are the manager of a portfolio of risky securities. Your portfolio has an expected return (E(rP)) of 12% and a standard deviation (P) of 18%. The risk free rate (rf) is 6%. The following two clients want to invest some portions of their investment budget in your portfolio and the balance in the risk free asset: Client 1 needs an expected return of 10% from her complete portfolio. Client 2 needs a complete portfolio with a standard deviation of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT