Question

In: Finance

Security X has expected return of 14% and standard deviation of 22%. Security Y has expected...

Security X has expected return of 14% and standard deviation of 22%. Security Y has expected return of 16% and standard deviation of 28%. The two securities have a correlation coefficient of -1. You wish to combine the two securities in order to construct a portfolio that has a standard deviation of zero. Which percentage of your capital should you invest in security X? (Enter your answer as a percent)

Solutions

Expert Solution

SEE THE IMAGE. ANY DOUBTS, FEEL FREE TO ASK. THUMBS UP PLEASE


Related Solutions

Stock X has an expected return of 11% and the standard deviation of the expected return...
Stock X has an expected return of 11% and the standard deviation of the expected return is 12%. Stock Z has an expected return of 9% and the standard deviation of the expected return is 18%. The correlation between the returns of the two stocks is +0.2. These are the only two stocks in a hypothetical world. A.What is the expected return and the standard deviation of a portfolio consisting of 90% Stock X and 10% Stock Z? Will any...
10. Security A has an expected rate of return of 10% and a standard deviation of...
10. Security A has an expected rate of return of 10% and a standard deviation of 16%. Security B has an expected rate of return of 8% and a standard deviation of 12%. Let A and B are perfectly negatively correlated. The expected return of a risk-free portfolio formed with A and B is Select one: a. 10% b. 9.47% c. 7.86% d. 8.86%
Assume a security has an expected return of .12 and a standard deviation of 0.08 a)...
Assume a security has an expected return of .12 and a standard deviation of 0.08 a) What is the expected return two standard deviation above the mean and what is the probability of a return greater that this amount? B) What is the probability of a return greater than 0.04 for a given year.
Assume that an investment security has a mean return of 14% and standard deviation of 6%....
Assume that an investment security has a mean return of 14% and standard deviation of 6%. What is the probability of making a loss (to the closest percent)? A.2%; B.10%; C.1%; D.3%; E.5%
The stock of Bruin, Inc., has an expected return of 22 percent and a standard deviation...
The stock of Bruin, Inc., has an expected return of 22 percent and a standard deviation of 37 percent. The stock of Wildcat Co. has an expected return of 12 percent and a standard deviation of 52 percent. The correlation between the two stocks is .49. Calculate the expected return and standard deviation of the minimum variance portfolio. (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)
You have a portfolio with a standard deviation of 22 % and an expected return of...
You have a portfolio with a standard deviation of 22 % and an expected return of 16 %. You are considering adding one of the two shares in the table below. If after adding the shares you will have 20 % of your money in the new shares and 80 % of your money in your existing​ portfolio, which one should you​ add? Expected return Standard deviation Correlation with your​ portfolio's returns Share A 13​% 26​% 0.4 Share B 13​%...
Assume that tangent portfolio T has an expected return of 14%, with a standard deviation of...
Assume that tangent portfolio T has an expected return of 14%, with a standard deviation of 20%, and that the risk-free rate is 3%. You choose to invest a total of $1,000. $350 is invested in portfolio T and $650 in the risk-free asset. What are the expected return and standard deviation of your portfolio? Suppose you borrow $200 at the risk-free rate. Combining this with your original sum of $1,000, you invest a total of $1,200 in the risky...
Stocks offer an expected return of 18%, with a standard deviation 22%. Gold offers an expected...
Stocks offer an expected return of 18%, with a standard deviation 22%. Gold offers an expected return of 10% with a standard deviation of 30%. a) In the light of the apparent inferiority of gold with respect to both mean and return volatility, would anyone hold gold? b) Re-answer (a) with the additional assumption that the correlation coefficient between gold and stocks equals 1. Explain why one would or would not hold gold in one’s portfolio. Could this set of...
A portfolio consists of 60% of Security A (expected return of 0.10 and standard deviation of...
A portfolio consists of 60% of Security A (expected return of 0.10 and standard deviation of 0.03) and 40% of Security B (expected return of 0.20 and standard deviation of 0.05) and the correlation coefficient between A and B is -0.0012. a) Calculate the expected return and standard deviation of the portfolio. b) Calculate the standard deviation of the portfolio if there was no diversification benefit.
The expected return and standard deviation of return for four securities are listed below. Which security...
The expected return and standard deviation of return for four securities are listed below. Which security is the least risky? A B C D Expected Return 15% 12% 18% 8% Standard Deviation 14% 14% 18% 10% A. Security C. B. Security A. C. Security B. D. Security D.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT