1). There are three securities in the market. The following chart shows their possible payoffs:

State - Probability of Outcome -Return on Security 1 - Return on Security 2 - Return on Security 3

1 .14 ; .196 ; .196 ; .046

2 .36 ; .146 ; .096 ; .096

3 .36 ; .096 ; .146 ; .146

4 .14 ; .046 ; .046 ; .196

a-1. What is the expected return of each security? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

a-2. What is the standard deviation of each security? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

b-1. What are the covariances between the pairs of securities? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 5 decimal places, e.g., 32.16162.)

b-2. What are the correlations between the pairs of securities? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 4 decimal places, e.g., 32.1616.)

c-1. What is the expected return of a portfolio with half of its funds invested in Security 1 and half in Security 2? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

c-2. What is the standard deviation of a portfolio with half of its funds invested in Security 1 and half in Security 2? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

d-1. What is the expected return of a portfolio with half of its funds invested in Security 1 and half in Security 3? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

d-2. What is the standard deviation of a portfolio with half of its funds invested in Security 1 and half in Security 3? (Leave no cells blank - be certain to enter "0" wherever required.)

e-1. What is the expected return of a portfolio with half of its funds invested in Security 2 and half in Security 3? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

e-2. What is the standard deviation of a portfolio with half of its funds invested in Security 2 and half in Security 3? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

2). There are two particles of charge q=2 nC located on the top left and bottom right comers of a square with side a = 10 cm. What is the magnitude and direction of the net electric field at the point on the bottom left corner of the square? Find the force acting on the charge q0=5nC at this corner.

Answer rating: 100% (QA)

As it is not specified here I am going to attempt the first four subparts of the questions E F G ... View the full answer