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Murrr4er [49]
2 years ago
8

Your investment has a 40% chance of earning a 15% rate of return, a 50% chance of earning a 10% rate of return, and a 10% chance

of losing 3%. What is the standard deviation of this investment
Business
1 answer:
soldi70 [24.7K]2 years ago
6 0

Answer:

5.139%

Explanation:

P(Xi) = Probability of event Xi

E(X) = Expected value of X

The expected value of this investment is the weighted average of the possible returns:

E(X) = 0.40*0.15+0.50*0.10+0.10*(-0.03)\\E(X) = 0.107

The standard deviation of this investment is:

S=\sqrt{\sum P(X_i)(X_i-E(X))^2}\\S=\sqrt{0.40*(0.15-0.107)^2+0.50*(0.10-0.107)^2+0.10*(-0.03-0.107)^2} \\S=0.05139=5.139\%

This investment has a standard deviation of 5.139%.

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The manager at East Coast Manufacturing organizes costs to prepare the Costs of Quality report. The manger compiled the followin
Angelina_Jolie [31]

Answer:

The total cost of quality the manager should use to report the costs in the internal failure cost​ category is $297,000

Explanation:

The computation of the internal failure cost is shown below:

=  Rework cost + Cost of rejected units

= $257,000 + $40,000

= $297,000

The cost of internal failure includes both the cost of rework and the rejected units.

The other information which is given in the question is not relevant. Hence, ignored it as it would not be considered and thus not taken in the computation part.

4 0
2 years ago
The owner of a bicycle repair shop forecasts revenues of $188,000 a year. Variable costs will be $57,000, and rental costs for t
Pachacha [2.7K]

Answer:

Adjusted accounting profit - $63,200

Cash inflow / Outflow - $63,200

Depreciation Tax shield - $63,200

Explanation:

Revenue - $188,000

Variable cost ($57,000)

Contribution                                             $131,000

Rental cost  ($37,000)

Depreciation (17,000)

                                                                  ($54,000)

PBIT                                                              77,000        

Income Tax (40%)                                        (30,800)

Net Income                                                   46,200

A) Adjusted Accounting profit

Add back non cash expenses (depreciation) = 46,200+$17000 =$63,200

B)Cash Inflow/Outflow

Revenue                                        $188,000

Variable cost                                   (57,000)

Rental cost                                       (37000)

Income Tax                                      (30,800)

                                                         $63,200

C Depreciation Tax Shield

Tax shield =40%*17,000= $6800

Cash income from operation (EBITDA*(1-tax rate) = 56,400

Add back $6,800 =                                                           6,800

                                                                                           $63,200

                                   

6 0
2 years ago
Which are the four functions motor freight terminals usually serve?
Evgesh-ka [11]

Answer:

The main function of a terminal is to handle and transship freight or passengers since modes are physically separated. They have a nominal capacity which is related to the amount of land they occupy and their level of technological, labor and managerial intensity.

Explanation:

3 0
2 years ago
Keys industries has assets of $2,100, sales of $2,960, operating costs of $2,675, and $250 of total current liabilities consisti
GalinKa [24]

<u>Calculation of Return on Total Assets:</u>

Return on Total assets can be calculated using the following formula:

Return on Total Assets = Net Income / Total Assets

We can calculate Net income as follows:

Sales $2960

Less: Operating Costs $2675

Less: Interest charges $125

Income before tax = 160

Less: Tax (160*40%)  = 64

Net Income = $96


Hence , Return on Total Assets = 96/2100 = 0.0457 =<u>4.57%</u>




5 0
2 years ago
A simple index of three stocks have opening values on day 1 and day 8 as shown in the table below. What is the rate of change of
AnnZ [28]
The correct answer is letter B)-11.4% (APEX)
8 0
2 years ago
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