Suppose you invest equal amounts in a risky asset with an expected return of 16% and a standard deviation of returns of 18% and a risk-free asset with an interest rate of 4%. Calculate the standard deviation of the returns on the resulting portfolio.

Answers

Answer 1
Answer:

Answer:

The answer is "10\%".

Explanation:

You are equivalent investors in 16 percent of a portfolio and 4 percent of a risk-free asset. A weighted mean of these two will become the predicted return.

= \text{(Portfolio weight} * \text{Return portfolio)} + \text{(Portfolio weight}* \text{risk-free)}\n\n

= (0.5 * 16\%) + (0.5 * 4\%)\n\n= (0.5 * (16)/(100)) + (0.5 * (4)/(100))\n\n= (8)/(100) +  (2)/(100)\n\n= (8+2)/(100)\n\n= (10)/(100)\n\n= (1)/(10)\n\n= (1)/(10) * 100\n\n=10\%


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Consider the following simplified financial statements for the Wims Corporation (assuming no income taxes):Income Statement Balance Sheet
Sales $38,000 Assets $27,300 Debt $6,700
Costs 32,600 Equity 20,600
Net income $5,400 Total $27,300 Total $27,300

The company has predicted a sales increase of 20 percent. Assume the company pays out half of net income in the form of a cash dividend. Costs and assets vary with sales, but debt and equity do not.

a. Prepare the pro forma statements.
b. Determine the external financing needed.

Answers

Answer and Explanation:

a. Proforma income statement

Sales                    $45,600

Costs                    $39,120

Net income          $6,480

b. Proforma balance sheet

Particulars           Amount           Liabilities               Amount

Assets                 $32,760           Debt                       $8,950

                                                     Equity                     $23,810

                                                     Total                       $32,760

External finance = Predicted debt - Beginning debt

= $7,585 - $6,700

= $885

Working note:-

For pro forma statements:

Sales = $38,000 × (1 + 0.20)

= $38,000 × 1.20

= $45,600

Costs = 32,600 × (1 + 0.20)

= $32,600 × 1.20

= $39,120

Net income = Sales - Costs

= $45,600 – 39,120

= $6,480

Assets = 27,300 × (1 + 0.20)

= 27,300 × 1.20

= $32,760

Equity = Beginning balance + Net income - Dividend

= $20,600 + $6,480 - ($6,480 × 1 ÷ 2)

= $20,600 + $6,480 - $3,240

= $23,810

Debt = Assets - Equity

= $31,760 - $23,810

= $8,950

Final answer:

The pro forma statements are prepared by adjusting the sales, costs, and assets by the 20% increase. The net income and dividends are then calculated. The external financing needed is found by deducting the sum of debt, equity and retained earnings from the adjusted total assets.

Explanation:

The pro forma statements are prepared by first adjusting sales, costs, and assets by the predicted increase of 20%. The new sales amount would be $38,000 * 1.20 = $45,600. Costs increase at the same rate, so the new costs would be $32,600 * 1.20 = $39,120. The new assets would be $27,300 * 1.20 = $32,760.

On the pro forma income statement, the net income is calculated by subtracting the new costs from the new sales, which is $45,600 - $39,120 = $6,480. The dividend would be $6,480 * 0.50 = $3,240. The retained earnings (AKA addition to retained earnings) increase by the net income minus the dividends, which is $6,480 - $3,240 = $3,240.

On the pro forma balance sheet, the total assets increased to $32,760. As debt and equity don't change, then they remain at $6,700 and $20,600 respectively. The sum of debt and equity added to the predicted retained earnings is $6,700 + $20,600 + $3,240 = $30,540. Therefore, the external financing needed is the new total assets minus this sum, which is $32,760 - $30,540 = $2,220.

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What is the purpose of the New Window command?It opens a new blank worksheet.
It opens one of the current worksheets into a new window.
It opens a blank workbook.
It opens a new side-by-side window of an existing workbook.

Answers

Answer:

It opens one of the current worksheets into a new window.

Answer:

It opens one of the current worksheets into a new window.

Explanation:

edge 2020 lesson-managing workbook properties

The basis for classifying assets as current or noncurrent is conversion to cash within A. the operating cycle or one year, whichever is shorter. B. the operating cycle or one year, whichever is longer. C. the accounting cycle or one year, whichever is longer. D. the accounting cycle or one year, whichever is shorter.

Answers

Answer:

The basis for classifying assets as current or non-current is conversion to cash within

B. the operating cycle or one year, whichever is longer.

Explanation:

Assets are of two types, current assets, and non-current assets. Current assets are the assets which are placed on the list of the balance sheet of the company. Within one fiscal year, the current assets are expected to be converted into cash. On the other hand, non-current assets are the assets are long term asset of the company. They cannot be converted into cash in one fiscal year.

Michael owns a machine shop. In reviewing the shop's utility bills for the past 12 months, he found that the highest bill of $2,400 occurred in August when the machines worked 1,000 machine hours. The lowest utility bill of $2,200 occurred in December when the machines worked 500 machine hours.Requirement:
1. Calculate the variable rate per machine hour and the total fixed utility cost.
2. Show the equation for determining total utility cost for the machine shop.
3. If Matt anticipates using 1, 200 machine hours in January, predict the shop's total utility bill using the equation from Requirement 2.

Answers

Answer:

Instructions are below.

Explanation:

Giving the following information:

Highest cost= $2,400 when the machines worked 1,000 machine hours.

Lowest cost= $2,200 when the machines worked 500 machine hours.

To calculate the variable cost per unit and total fixed costs, we need to use the following formulas:

Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)

Variable cost per unit= (2,400 - 2,200) / (1,000 - 500)

Variable cost per unit= $0.4 per hour

Fixed costs= Highest activity cost - (Variable cost per unit * HAU)

Fixed costs= 2,400 - (0.4*1,000)= $2,000

Fixed costs= LAC - (Variable cost per unit* LAU)

Fixed costs= 2,200 - (0.4*500)= $2,000

Total cost= 2,000 + 0.4x

x= machine hour

Finally, the total cost for 1,200 machine hours:

Total cost= 2,000 + 0.4*1,200

Total cost= $2,480

Which mathematical sentence most accurately expresses the information inthe problem below?
Crystal has 121 compact discs that she wants to put into boxes. Each of the
boxes that she brought home holds 25 discs. How many of these boxes will
she need for all of her discs?

Answers

The mathematical sentence that can represent most accurately the calculation that Crystal wants to perform is;

121 compact discs / 25 discs per box = 4.84 boxes

Rounded up to 5 boxes.

What is an Equation?

An equation is the mathematical sentence that represents the calculation that needs to be performed, the equation completely explains the problem and then gradually it is solved step by step.

In the case Crystal wanted to set 121 discs in boxes with a capacity of 25 discs, so simply 121 discs are divided by the number of discs a box can hold, which results in the number of boxes needed which is Five.

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Suppose the country of Altaria only produces one good, pink tutus. Last year, nominal GDP was $50,000 and this year it is $200,000. What can we definitively conclude? A. Output in Altaria quadrupled
B. The rate of unemployment decreased
C. Standard of living in Altaria increased
D. All of the above.
E. None of the above.

Answers

Based on the nominal GDP changes in Alteria over the years, we can conclude E. None of the above.

We cannot conclude that output increased by fourfold because we do not know the real GDP and the nominal GDP could simply have changed because of inflation.

We also cannot get information on the standard of living or unemployment rate from the nominal GDP.

In conclusion, the best option is D.

Find out more on nominal GDP at brainly.com/question/6348208.

Answer:

E. None of the above

Explanation:

because the price level is not known, we can not tell definitely that the output is increased or unemployment is decreased or standard of living is increased.

Therefore, we cannot conclude on anything.

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