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 4.1%. The probability distributions of the risky funds are: Expected Return Standard Deviation Stock fund (S) 11 % 33 % Bond fund (B) 8 % 25 % The correlation between the fund returns is .1560. Suppose now that your portfolio must yield an expected return of 9% and be efficient, that is, on the best feasible CAL. a. What is the standard deviation of your portfolio

standard deviation of your portfolio = 21.35%

Explanation:

Without mincing words, let's dive straight into the solution to this particular question. The following parameters are given in  the question and they are:

The expected Return Standard Deviation Stock fund (S) = 11 % with standard deviation of 33%[=0.33] and the expected Return Standard Deviation Stock fund is 8% with standard deviation of 25 %[=0.25]. Also, it is given that the correlation between the fund returns = .1560.

STEP ONE: Determine the proportion of stock in minimum risky portfolio.

Therefore, the proportion of stock in minimum risky portfolio = [( 0.25)² - ( 0.33 × 0.25 ×.1560)] ÷ [ (0.33²) + (0.25²) - ( 2 × 0.33 × 0.25 × 0.156)] = 34.07%[=0.3407].

STEP TWO: Determine the proportion of bond fund in minimum risky portfolio.

The proportion of bond fund in minimum risky portfolio = 1 - 0.3407 = 0.6593 = 65.93.

STEP THREE: Determine the expected return of minimum risky portfolio.

The expected return of minimum risky portfolio = 0.3407 × 0.11 + 0.6593 × 0.08 = 0.0902= 9.02%.  

STEP FOUR: Determine the standard deviation of your portfolio.

The standard deviation of your portfolio = [(0.6593²) × (0.25²) × (0.3407²) × (0.33²) + ( 2 × 0.6593 × 0.340 × 0.33 × 0.25 × 0.156)]^0.5 = 0.2135 = 21.35%

1   all nations face the problem of scarcity because there are limited resources and unlimited wants. nations do not have enough factors of production to produce everything that their population wants. entrepreneurial resources initiate businesses to make new goods and services; labor resources produce goods and services.

2 there are four factors of production: natural resources, labor resources, capital resources, and entrepreneurial resources. natural resources are raw materials from nature that are used to produce goods. trees, water, and grains are natural resources. some natural resources, such as wheat and cattle, are renewable

3 wants

things that you do not need to have in order to survive, but would like to have

needs

things that you must have in order to survive

goods

physical products

services

tasks that a business perform for customers

resources

items that people can use to make or obtain what they need or want

determine

to settle or decide by choice of alternatives or possiblities

4 i really dont know