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Vsevolod [243]
3 years ago
8

A bank estimates that its profit next year is normally distributed with a mean of 0.8% of assets and the standard deviation of 2

% of assets. How much equity (as a percentage of assets) does the company need to be (a) 99% sure that it will have a positive equity at the end of the year and (b) 99.9% sure that it will have positive equity at the end of the year
Business
1 answer:
qwelly [4]3 years ago
3 0

Answer:

a) 5.45%

b) 6.98%

Explanation:

We are given the following information in the question:

Mean, μ = 0.8%

Standard Deviation, σ = 2%

We are given that the distribution of profit is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) We have to find the value of x such that the probability is 0.99

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 0.8}{2})=0.99  

Calculation the value from standard normal z table, we have,  

P(z < 2.326) = 0.99

\displaystyle\frac{x - 0.8}{2} = 2.326\\\\x = 5.452 \approx 5.45

Thus, 5.45% of assets does the company need to be 99% sure that it will have a positive equity at the end of the year.

b) We have to find the value of x such that the probability is 0.999

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 0.8}{2})=0.999  

Calculation the value from standard normal z table, we have,  

P(z < 3.090) = 0.999

\displaystyle\frac{x - 0.8}{2} = 3.090\\\\x = 6.98

Thus, 6.98% of assets does the company need to be 99% sure that it will have a positive equity at the end of the year.

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melamori03 [73]

Answer:

c)  understand the parts of the firm's operation that create value and those that do not.

Explanation:

Value chain analysis (VCA) is a process where a firm identifies its primary and support activities that add value to its final product and then analyze these activities to reduce costs or increase differentiation.

Value chain represents the internal activities a firm engages in when transforming inputs into outputs.

Value chain analysis is a strategy tool used to analyze internal firm activities. Its goal is to recognize, which activities are the most valuable (i.e. are the source of cost or differentiation advantage) to the firm and which ones could be improved to provide competitive advantage. In other words, by looking into internal activities, the analysis reveals where a firm’s competitive advantages or disadvantages are. The firm that competes through differentiation advantage will try to perform its activities better than competitors would do. If it competes through cost advantage, it will try to perform internal activities at lower costs than competitors would do. When a company is capable of producing goods at lower costs than the market price or to provide superior products, it earns profits.

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3 years ago
An economy is created by the interaction between which teo groups of people?
melomori [17]

Answer:

producers and consumers

Explanation:

producers and consumers create the interaction between the demand and the supply that is the basis for any given economy.

3 0
3 years ago
The most common definition that monetary policymakers use for price stability is
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Answer:

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2 years ago
James Industries uses departmental overhead rates to allocate its manufacturing overhead to jobs. The company has two department
GREYUIT [131]

Answer:

Total cost= $9395

Explanation:

Giving the following information:

The company has two departments: Assembly and Sanding.

The Assembly Department:

Departmental overhead rate of $35 per machine hour.

The Sanding Department:

Departmental overhead rate of $20 per direct labor hour.

Job 603:

Direct labor hours used 85

Machine hours used 107

The cost of direct labor is $30 per hour

Direct materials used= $1,400.

Total cost= direct materials + direct labor + manufacturing overhead

Total cost= 1400 + $30*85 + [(107*$35)+(85*$20)]

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3 years ago
1. Descriptive statistics ________. quickly describe large amounts of data can predict future stock returns with surprising accu
nika2105 [10]

Answer:

1. quickly describe large amounts of data

2. the stock is worth 15% more at the end of the year than at the beginning

3. 9.2%

Explanation:

Descriptive statistics helps to quickly describe large amounts of data because it simply involves using certain measurement tools to describe the data seen such that patterns emerge that will help in analyzing the data. Examples include, frequency tables and measures of variation like range and standard deviation.

When a stock has a 15% return, it means that the owner is getting 15% more than the amount that the stock cost them therefore showing that the stock is worth 15% more at the end of the year than at the beginning.

The return on the stock is;

= (4.75 - 4.35) / 4.35

= 9.2%

3 0
2 years ago
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