Tradable pollution permits are a:_______

Arbor Systems and Gencore stocks both have a volatility of 33%. Compute the volatility of a portfolio with 50% invested in each

fiasKO [112]

Answer:

<h3>In case of b, c, d ,e volatility is less than that of original stock</h3>

Explanation:

The formula to compute the volatility of a portfolio

$=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}$

Here,

The standard deviation of the first stock is σ₁

The standard deviation of the second stock is σ₂

The weight of the first stock W₁

The weight of the second stock W₂

The correlation between the stock c

a) If the correlation between the stock is +1

$=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}$

$=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times1} \\\\=0.33$

Hence, the volatility of the portfolio is 0.33 0r 33%

b) If the correlation between the stock is 0.50

$=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}$

$=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times0.5} \\\\=0.29$

Hence, the volatility of the portfolio is 0.29 0r 29%

c) If the correlation between the stock is 0.00

$=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}$

$=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times0.0} \\\\=0.23$

Hence, the volatility of the portfolio is 0.23 0r 23%

d) If the correlation between the stock is -0.50

$=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}$

$=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times-0.5} \\\\=0.17$

Hence, the volatility of the portfolio is 0.17 or 17%

e) If the correlation between the stock is -1

$=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}$

$=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times-1} \\\\=0$

Hence, the volatility of the portfolio is 0

<h3>In case of b, c, d ,e volatility is less than that of original stock</h3>

4 0

3 years ago

A rights offering Question 16 options: a) is the least expensive way to raise capital. b) gives the firm a built-in market for n

zysi [14]

Answer: b. gives the firm a built-in market for new securities.

Explanation:

Rights offering are issued by companies when such companies wants to generate additional capital. This may be necessary when such company wants to meet its financial obligations and therefore need extra capital.

A rights offering gives the firm a built-in market for new securities as the security holder are already aware of the company and just buys additional securities.

7 0

3 years ago

A mining company owns two mines, each of which produces three grades (high, medium, and low) of ore. The company has a contract

sashaice [31]

Answer:

They should operate Mine 1 for 1 hour and Mine 2 for 3 hours to meet the contractual obligations and minimize cost.

Explanation:

The formulation of the linear programming is:

Objective function:

$C=200M_1+160M_2$

Restrictions:

- High-grade ore: $6M_1+2M_2\geq12$

- Medium-grade ore: $2M_1+2M_2\geq8$

- Low-grade ore: $4M_1+12M_2\geq24$

- No negative hours: $M_1,M_2\geq0$

We start graphing the restrictions in a M1-M2 plane.

In the figure attached, we have the feasible region, where all the restrictions are validated, and the four points of intersection of 2 restrictions.

In one of this four points lies the minimum cost.

Graphically, we can graph the cost function over this feasible region, with different cost levels. When the line cost intersects one of the four points with the lowest level of cost, this is the optimum combination.

(NOTE: it is best to start with a low guessing of the cost and going up until it reaches one point in the feasible region).

The solution is for the point (M1=1, M2=3), with a cost of C=$680.

The cost function graph is attached.

7 0

3 years ago

In 2008, the United States began to witness one of the worst recessions since the 1930s. The collapse of the housing bubble in 2

deff fn [24]

Answer:

B. Liquidation.

Explanation:

Liquidation is and aftermath of the inability of a company or establishment to meet up with her obligations at the required moment. Thus, the company folds-up, lay off her staff and stop operating. While reorganization is a form of restructuring in a company or establishment. It may involve change of positions and duties among capable staff.

The example in the given scenario is that of liquidation because it ceased from operation.

3 0

3 years ago

During the sensorimotor stage of cognitive development, the child:

Lina20 [59]

Answer:

The correct answer is d.

Explanation:

This stage extends from birth to the acquisition of the individual's language. Children build step-by-step knowledge and understanding of the world by coordinating experiences (such as sight and hearing) related to physical interaction with objects (such as grabbing and stepping).

The development of the permanence of the object is one of the characteristic achievements of this stage. Object permanence is the child's understanding that objects continue to exist even though he or she cannot perceive them.

Have a nice day!

4 0

3 years ago

Tradable pollution permits are a:________.