Divisibility" refers to the fact that money is divided into denominations for ease in completing transactions

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

If a reform of the tax laws encourages greater saving, the result would be

GarryVolchara [31]

Answer:

The correct answer is

d. lower interest rates and greater investment.

good luck

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What do you understand by marketing mix

k0ka [10]

Explanation:

When I think about the term marketing mix, I think about a set of tools that firms use to increase their profits such as price, product, promotion and place.

3 0

3 years ago

Kate also wishes to pay dividends on both her common shares and the preferred stock. She is a little confused between cash and s

11111nata11111 [884]

Find the answers in the explanation below

Explanation:

Cash dividend: Cash dividend is dividend that is paid in cash to shareholders in the event that the company or firm does not need the money for any kind of operation. This means that the company is giving economic value to its shareholders. This transfer of economic value to shareholder means that the shares price of the company will drop. An example is a company having a share dividend of 5%. That means that the price of the company shares will fall by 5%.

Stock dividend: Stock dividend unlike cash dividend is increase stock dividend as well as help stockholders to avoid tax. This subsequently does not increase the value of the company. For example, if stock dividend of a company is 5% and as much as 1 million shares, when stock dividends are declared the stockholder gets extra of 50,000 shares. The stock holder can either keep the shares or sell it to create his own

Cheers

5 0

3 years ago

The ______________card can be used anywhere.

Assoli18 [71]

Answer:

Multi-purpose credit is the answer

Explanation:

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3 years ago