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viktelen [127]
3 years ago
9

An investment portfolio contains stocks of a large number of corporations. Over the last year the rates of return on these corpo

rate stocks followed a normal distribution with mean 9.5% and standard deviation 4.5%. (a)For what proportion of these corporations was the rate of return higher than 16%? (b)For what proportion of these corporations was the rate of return negative? (c)For what proportion of these corporations was the rate of return between 3% and 17%?
Business
1 answer:
saul85 [17]3 years ago
8 0

Answer:

In a normal distribution:

Formula for z value = z = (x – μ) / σ

1) X= 16%

μ= 9.5%

σ= 4.5%

z= 16-9.5/4.5

=1.555 (Look up this score on t he z table)

Probability = 0.9394 (this is the probability of the return being in between 0%-16%, if we want to find the probability of the return being lower than or equal to 16% we have to subtract  0.9394 from 1)

1-0.9394=0.0606=6.06% of the stocks had higher than 16% return.

2) 1) X= 0%

μ= 9.5%

σ= 4.5%

Z= 0-9.5/4.5=-2.11

Probability = 0.0174 = 1.74% of the stocks had a return below 0

3) 3<X>17

μ= 9.5%

σ= 4.5%

Z=3-9.5/4.5=-1.44= 0.0749

z= 17-9.5/4.5= 1.66=0.9515

We have the probability of the stocks that return below 3% (0.0749)

and stocks which return under 17% (0.9515)

In order to find the proportion of stocks between 3% and 17% we will subtract 0.0749 from 0.9515

=0.8766

For 87.66 % of these corporations the rate of return was between 3% and 17

Explanation:

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Jacob Corcoran bought 10,000 shares of Grebe Corporation stock two years ago for $24,000. Last year, Jacob received a nontaxable
dezoksy [38]

Answer:

Jacob purchased 10000 shares form Grebe corporation two years ago for $24000

last year Jacob received a non taxable stock dividend of 2000 shares from Grebe corporation

In the current year tax year Jacob sold all stock received as dividend that's 2000 shares for $18000

The gain of the sale of 2000 shares can be calculated by subtracting the basis in the shares from the cost price. the cost of shares = ( $24000 / 12000 ) = $2 per share

profit made from the sales of 2000 shares is calculated as follows ; selling price ( $18000 ) - cost price of 2000 shares ( $2 * 2000) , the profit is $14000 and it is in the long term because the original shares bought has been held for at least 1 year

Explanation:

Jacob purchased 10000 shares form Grebe corporation two years ago for $24000

last year Jacob received a non taxable stock dividend of 2000 shares from Grebe corporation

In the current year tax year Jacob sold all stock received as dividend that's 2000 shares for $18000

The gain of the sale of 2000 shares can be calculated by subtracting the basis in the shares from the cost price. the cost of shares = ( $24000 / 12000 ) = $2 per share

profit made from the sales of 2000 shares is calculated as follows ; selling price ( $18000 ) - cost price of 2000 shares ( $2 * 2000) , the profit is $14000 and it is in the long term because the original shares bought has been held for at least 1 year

8 0
3 years ago
A portfolio with a 30% standard deviation generated a return of 15% last year when T-bills were paying 6.0%. This portfolio had
jarptica [38.1K]

Answer: 0.3

Explanation:

The Sharpe ratio is simply used by organizations and investors in order to compare the return on an investment to its risk.

From the question, we are informed that a portfolio has a 30% standard deviation generated a return of 15% last year when T-bills were paying 6.0%.

The Sharpe ratio will be:

= (15% - 6.0%)/30%

= 9%/30%

= 0.09/0.3

= 0.3

4 0
4 years ago
Which of the following items is included in the calculation of GDP? a.purchase of 100 shares of Microsoft stock b.purchase of a
Nady [450]

Answer:

The correct answer is option e.

Explanation:

The GDP of a country is the value of final goods and services produced in the geographical boundaries of a nation in a year. It does not include the value of intermediate goods produced. This is because it may lead to double counting. So the value of intermediate goods is included as a part of the value of the final good. It also does not include the value of services provided by homemakers.

Financial transactions such as purchase and sale of stocks and shares are not included. This is because it does not involve the production of any good or service. Sale of second-hand goods is also not included because of the problem of double counting.

7 0
4 years ago
Why do buissness complete an a free enterprise system ?​
Kitty [74]
Here u go this is really helpful I just had this question yw

3 0
3 years ago
Deere &amp; Company is a global manufacturer and distributor of agricultural, construction, and forestry equipment. The company
barxatty [35]

Answer:

Days in Inventory = 63 days

Explanation:

We know,

Days in Inventory = 365 days ÷ Inventory Turnover

Given,

Inventory turnover = Cost of goods sold ÷ Average Inventory

Inventory turnover = 16,936 ÷ [( $2,410 + 3,430) ÷ 2]

Inventory turnover = 16,936 ÷ (5,840 ÷ 2)

Inventory turnover = 16,936 ÷ 2,920

Inventory turnover = 5.8

Putting the values into the formula, we can get

Days in Inventory = 365 days ÷ Inventory Turnover

Days in Inventory = 365 days ÷ 5.8

Days in Inventory = 63 days

3 0
3 years ago
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