The firm's findings are best described as the

In Accounting, an internal control is a mechanism, procedure, rule or policy designed by management to secure assets, promote efficiency, ensure accountability and prevent fraudulent behavior in an organization.

The main goal of auditing internal control is to evaluate the effectiveness of controls over all relevant financial statement disclosures in the financial statements.

6 0

3 years ago

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