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

Box plots, This box plot displays the diversity wfood; the data ranges from...

This box plot displays the diversity wfood; the data ranges from 0.05710 being the minimum value and 0.78900 being the maximum value. The box plot is slightly positively skewed at

Semiaverages and least square, how can we graph a trend line by semiaverage...

how can we graph a trend line by semiaverages and least square method?

Determine market interest rate, The interest rate on the three year loan is...

The interest rate on the three year loan is 0.087. Whereas the interest rate on the two year loan is 0.085 as given in A. Suppose that the liquidity premium at t=1 is 0.002 and tha

Define the partial market equilibrium model, Q. The following system of equ...

Q. The following system of equations illustrates the algebraic form of a partial (individual) market equilibrium model, which is a model of price (P) and quantity (Q) determination

Range, Range Official Exports Target 2000-2001 ...

Range Official Exports Target 2000-2001 Product ($ million) Plantation 500 Agriculture and Alli

Andrews ‘plots, Andrews ‘Plots A graphical display of multivariate da...

Andrews ‘Plots A graphical display of multivariate data in which an observation, x0 = [x1, x2, . . . , xq] is represented can be represented in the form of function A set

Calculate mean and standard deviation, Select and generate your assignment ...

Select and generate your assignment portfolio. The S&P/ASX 200 index is comprised of several sub-indices, including the following: 0) XPJ: The S&P/ASX 200 A-REIT Index 1) XDJ

Risk of portfolios, Risk of Portfolios So far, we have seen the applic...

Risk of Portfolios So far, we have seen the application of standard deviation in the context of risk in single investment. But usually most investors hold portfolios of securi

Multiple regression analysis, Complete the multiple regression model using ...

Complete the multiple regression model using Y and your combined X variables.  State the equation.  Next, make sure that you evaluate overall model performance with the Anova table

Professional Counselor, A researcher hypothesized that the pulse rates of ...

A researcher hypothesized that the pulse rates of long-distance athletes differ from those of other athletes. He believed that the runners’ pulses would be slower. He obtained a ra

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