Question

In: Finance

Recall that we discussed the concept of the Global Minimum Variance Portfolio in one of the...

Recall that we discussed the concept of the Global Minimum Variance Portfolio in one of the lectures and defined it as that portfolio on the efficient frontier that has the least risk.​ Now, consider a portfolio with only two​ assets, asset​ X, and asset Y. The returns of these assets are uncorrelated with each other. Asset X has a volatility of​ 9%, and asset​ Y’s volatility is​ 16%. What will be the weight of asset X in a minimum variance portfolio​ (MVP) of these two​ assets?

A.

​100%

B.

​24.04%

C.

​75.96%

D.

​97%

E.

​3%

Solutions

Expert Solution

For a two-security portfolio, one can calculate the weights to achieve the minimum variance portfolio as follows:


Related Solutions

What is the global minimum variance portfolio? How does it vary with correlation coefficient?
What is the global minimum variance portfolio? How does it vary with correlation coefficient?
Consider a world with risk assets and one riskfree asset: (a) What are "global minimum variance...
Consider a world with risk assets and one riskfree asset: (a) What are "global minimum variance portfolio" and "optimal portfolio"? The question is asking about definitions/differences between two portfolios.
What is the Sharpe ratio for the minimum variance portfolio (MVP)?
A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5%. The probability distributions of the risky funds are:Expected ReturnStandard DeviationStock fund (S)15%32%Bond fund (B)923The correlation between the fund returns is 0.10.What is the Sharpe ratio for the minimum variance portfolio (MVP)?
One of the key concepts we have discussed this semester is the concept of “Elasticity”. Generally...
One of the key concepts we have discussed this semester is the concept of “Elasticity”. Generally speaking, elasticity is simply a measure of how responsive one variable is to a change in another variable. While we have focused on the “own price elasticity of demand”, the “income elasticity of demand” and the “cross-price elasticity of demand” this concept can be extended to a number of different situations. (10 pts) The demand curve for a product is given by Qx=1,000-2Px+0.02Pz,  where Pz...
Explain in detail the process of deriving the minimum variance portfolio MVP, and the process of...
Explain in detail the process of deriving the minimum variance portfolio MVP, and the process of estimating the expected return and risk in the relevant portfolio.
Please provide an overview of the consequences of the global aging phenomenon that we discussed in...
Please provide an overview of the consequences of the global aging phenomenon that we discussed in the class. Specifically, which countries appear to be most affected (at this point) by this phenomenon and what policy implications (particularly with respect to immigration) that this may have for those states? In addition, what “solutions” have been proposed for dealing with this issue?
In this week's lecture we have discussed the concept of insider trading as it exists and...
In this week's lecture we have discussed the concept of insider trading as it exists and is viewed around the world. Discuss your view on how insider trading should be viewed
(1) Recall on February 6 in class we discussed e 0 + e 2πi/n + e...
(1) Recall on February 6 in class we discussed e 0 + e 2πi/n + e 4πi/n + · · · + e 2(n−1)πi/n = 0 and in order to explain why it was true we needed to show that the sum of the real parts equals 0 and the sum of the imaginary parts is equal to 0. (a) In class I showed the following identity for n even using the fact that sin(2π − x) = − sin(x):...
: Recall the airplane cargo problem we have discussed in our first lecture. An air-freight company...
: Recall the airplane cargo problem we have discussed in our first lecture. An air-freight company has 8 adjacent positions on its Boeing-727 aircraft for freight containers. The weights of this containers depend on what they are carrying. and company statistics indicate that %7 of the containers are classified as ”heavy”. While heavy containers are not inherently dangerous, having two such containers next to each other is considered dangerous should the plane encounter a wind gust. Understandably, company wants to...
Recall the airplane cargo problem we have discussed in our first lecture. An air-freight company has...
Recall the airplane cargo problem we have discussed in our first lecture. An air-freight company has 8 adjacent positions on its Boeing-727 aircraft for freight containers. The weights of this containers depend on what they are carrying. and company statistics indicate that %7 of the containers are classified as ”heavy”. While heavy containers are not inherently dangerous, having two such containers next to each other is considered dangerous should the plane encounter a wind gust. Understandably, company wants to know...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT