Stock A is expected to return 14 percent in a normal economy and lose 21 percent in a recession. Stock B is expected to return 11 percent in a normal economy and 5 percent in a recession. The probability of the economy being normal is 75 percent with a 25 percent probability of a recession. What is the covariance of these two securities?a) 0.007006b) 0.006563c) 0.005180d) 0.007309e) 0.006274

Answer:

The correct option is b) 0.006563.

Explanation:

Note: See the attached excel file for the calculation of the covariance between stocks A and B.

Covariance refers to a metric that measures the relationship between two random variables by showing the degree to which the two variables change together.

A positive covariance means that two variables move in the same direction, while a negative covariance indicates that the two variables tend to move in the opposite directions.

In the attached excel file, the following are used:

RA = Rate of Return of Stock A

RB = Rate of Return of Stock B

P = Probability

ERA = Expected return of Stock A = RA * P

ERB = Expected return of Stock B = RB * P

DA = Deviation of Stock A = RA - Sum of ERA

DB = Deviation of Stock B = RB - Sum of ERB

N = Number of observation = 2

Therefore, Covariance of Stock A and B is calculated using the covariance formula as follows:

Covariance of Stock A and B = Sum of (DA * DB) / N = 1.3125% / 2 = 0.6563%, or 0.006563

Therefore, the covariance of these two securities is 0.006563. This shows that the correct option is b) 0.006563.

Indicate which of the four perspectives in the balanced scorecard is most likely associated with the objectives that follow.
1. Percentage of repeat customers.
2. Number of suggestions for improvement from employees.
3. Contribution margin.
4. Brand recognition.
5. Number of cross-trained employees.
6. Amount of setup time.

select one country and consider the export of that country what is the reason for the export

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Furniture, Inc., estimates the following number of mattress sales for the first four months of 2019:

Month Sales

January 32,000

February 36,800

March 29,600

April 43,200

Finished goods inventory at the end of December is 7,100 units. Target ending finished goods inventory is 20% of the next month's sales.

How many mattresses should be produced in the first quarter of 2019?

A.
99,940 mattresses

B.
67,680 mattresses

C.
67,620 mattresses

D.
108,580 mattresses

Why might a small company with limited resources NOT want to use the DAGMAR approach to setting objectives?A) DAGMAR does not support the use of communications objectives.B) DAGMAR requires managers to use more subjectivity in setting objectives than other methods.C) Small companies are unlikely to want to spend money on marketing research to develop benchmark measures and track advertising effects.D) Small companies often cannot identify their real target audience.E) All of the above are reasons why a small company with limited resources may not want to use the DAGMAR approach to setting objectives.