Correlation coefficient, Applied Statistics

Assignment Help:

Consider three stocks A, B and C costing $100 each. The annual returns on the three stocks have mean $5 and variance $10.

a. Suppose that the returns on the three stocks are i.i.d.    Find the means and variance of the returns on Portfolio I, consisting of 3 units of A, and Portfolio II, consisting of 1 units each of A, B and C?

b. Suppose the returns from A and B have a correlation coefficient of -0.8 but they are uncorrelated with returns from C. Find the means and variances of the returns on the two portfolios.

c. Suppose the returns from A, B, and C are perfectly correlated (each pair have a correlation =1).  Find the means and variances of the returns on the two portfolios.  Is there any benefit to diversification in this case?


Related Discussions:- Correlation coefficient

Compute a correlation coefficient, A researcher was interested lowering the...

A researcher was interested lowering the high school dropout level in his county. He measured the reading level of students entering middle school (based on a standard test) and th

student is chosen randomly, In a management class of 100 childerns' 3 lang...

In a management class of 100 childerns' 3 languages are offered as an additional subject viz. Hindi, English and Kannada. There are 28 childrens taking Hindi, 26 taking Hindi and 1

Simple linear regression, We are interested in assessing the effects of tem...

We are interested in assessing the effects of temperature (low, medium, and high) and technical configuration on the amount of waste output for a manufacturing plant. Suppose that

Diversity of data for the age, The box plot displays the diversity of data ...

The box plot displays the diversity of data for the age; the data ranges from 19 being the minimum value and 60 being the maximum value. The box plot is positively skewed at 0.57 a

Find out the probability, There are n seats on an airplane and n passengers...

There are n seats on an airplane and n passengers have bought tickets. Unfortunately, the first passenger to enter the plane has lost his ticket and, so he just chooses a seat at r

Quota sampling, Quota sampling Under this method enumerators shall sele...

Quota sampling Under this method enumerators shall select the respondents in place of those not available, as per the quota fixed according  to guide lines   provided to them.

Predict higpa using a logistic regression, In this problem, we use the CSDA...

In this problem, we use the CSDATA data set, which is available in 'CSDATA.txt'. We do ne an indicator variable, say HIGPA, to be 1 if the GPA is 3.0 or better and 0 other- wise. S

Assignment, wants to complete assignment for uk university which i need toy...

wants to complete assignment for uk university which i need toy submit latest by 10th october

Test for equality of two means, Let X 1  and X 2  be two independent po...

Let X 1  and X 2  be two independent populations with population means μ 1  and  μ 2  respectively. Two samples are taken, one from each population, of sizes n 1  and n 2  re

Number of principal components, While there are p original variables the n...

While there are p original variables the number of principal components is m such that m

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd