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iren [92.7K]
3 years ago
7

A portfolio has an expected return of 12.3 percent. This portfolio contains two stocks and one risk-free security. The expected

return on stock X is 9.7 percent and on stock Y it is 17.7 percent. The risk-free rate is 3.8 percent. The portfolio value is $78,000 of which $18,000 is the risk-free security. How much is invested in stock X
Business
1 answer:
geniusboy [140]3 years ago
3 0

Answer:

Investment in stock X is worth $21,387.60

Explanation:

Expected Return of the protfolio is calculated:

Stock.X.return*invest.x + Stock.Y.return*invest.Y + Risk.free*invest.RF

Where:

  • Stock X return = 9.7%
  • Stock Y Return = 17.7%
  • Risk free = 3.8% (investment in Risk free = 18,000/78,000 = 23.08%)
  • Investment in X+Y = 1 - Invetment in RF = 1 - 0.2308 = 0.7692

So, replacing the numbers

0.097*x + 0.177*Y + 0.038*0.2308 = 0.123

Where X+Y = 0.7692, so X = 0.7692-Y

0.097*(0.7692-Y) + 0.177*Y = 0.123 - 0.0088

Then

0.0746 - 0.097*Y + 0.177*Y = 0.1142

0.08*Y = 0.0396

So Y = 0.0396/0.08 = 0.495 = 49.5%

X = 0.7692 - 0.495 = 0.2742 = 27.42%

27.42% * 78000 =

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$122,500

Explanation:

Calculation for the amount of the common fixed expense not traceable to the individual divisions

First step is to calculate Total segment margin

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8 0
3 years ago
What is a misdemeanor?
nasty-shy [4]

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D

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In fact a misdemeanor is less bad than a felony

6 0
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The following data relate to direct materials costs for November: Actual costs 4,700 pounds at $5.40 Standard costs 4,500 pounds
Vera_Pavlovna [14]

$2,820 favorable

Calculation to determine direct materials quantity variance

Using this formula:

Direct materials price variance = (Actual materials cost per lb. - Standard materials cost per lb.) × Actual quantity lb

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Direct materials price variance = (-$0.60) × 4,700 lbs.

Direct materials price variance = $2,820 favorable

Therefore the direct materials price variance is $2,820 favorable.

Direct material costs:

are the costs of raw materials or parts that go directly into producing products. For example, if Company A is a toy manufacturer, an example of a direct material cost would be the plastic used to make the toys.

Why is direct materials important?

Direct materials is an important concept in throughput analysis, where throughput is the revenue generated by a product sale, less all totally variable costs. In most situations, the only totally variable costs associated with a product are its direct materials.

What do you mean by actual cost?

In accounting, Actual Cost refers to the amount of money that was paid to acquire a product or asset. This could be the historical, past, or present-day cost of the product

What do you mean by standard cost?

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6 0
1 year ago
An exploration of the factors underlying an​ economy's capital stock and its level of technology indicates that the relevant tim
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Answer:

The correct answer are: A. quality of its education system. B. saving rate. and E. role of the government.

Explanation:

The stock of capital is a fundamental variable in economic analysis, especially for economic growth studies. The level of capital stock, together with measurements of labor (labor), constitute the factors that allow analyzing the production function of an economy; as well as determine the long-term growth patterns of it.

5 0
3 years ago
Recall the components of internal control. identify the internal control weakness in this​ situation, and propose a way to corre
ale4655 [162]

Answer:

The internal control weakness includes:

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2. A credit department can pocket cash received from a customer and copies all remittance slips for the controller, then destroy the remittance slip.

3. The credit department can then write off customer's account as uncollectible, and the company will stop pursuing collection from the customers

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To begin, it is important to understand the concept of Internal Control. Internal control can be generally understood as the procedures determined to ensure organization's objectives in efficiency and effectiveness, reliable financial reporting and compliance with existing organization's rules and regulations.

Hence, internal control is meant to strengthen the achievement of an organization's objectives. Thus, we have seen a number of weaknesses from the scenarios painted above. It must be stated that the weaknesses stem from the fact that the company receives incoming cash receipt from customers.

To avoid and prevent this, a company should have a cash go to a clocked box at the bank. With this, the weaknesses emanating from physical cash handling by the credit department will be eliminated.

Taking a critical look at the internal control procedures, it'll be observed that the policies adopted on cash receipt is one not generally in tune with best practices. Hence, to strengthen the control, a cash go to a clock box at the bank should be created to facilitate and encourage customers' deposits in the banks. Doing this will ensure the department rids of weaknesses emanating from this cash treatment, and point number 2 and 3 as stated above can be easily resolved.

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