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AnnZ [28]
3 years ago
9

If the economy is normal, Charleston Freight stock is expected to return 16.5 percent. If the economy falls into a recession, th

e stock's return is projected at a negative 11.6 percent. The probability of a normal economy is 80 percent while the probability of a recession is 20 percent. What is the variance of the returns on this stock?
A. 0.010346
B. 0.012634
C. 0.013420
D. 0.013927
E. 0.014315
Business
1 answer:
777dan777 [17]3 years ago
6 0

Answer:

option (B) 0.012634

Explanation:

Data provided in the question:

Expected return         Probability

         16.5%                     80%

        -11.6%                      20%

Now,

Mean return = ∑( Probability × Expected return )

= ( 0.8 × 16.5% ) + ( 0.2 × (-11.6%) )

= 13.2% - 2.32%

= 10.88%

Thus,

Variance = ∑(Probability × [ Expected return - Mean return ]² )

=  0.8 × ( 16.5% - 10.88% )² + 0.2 × ( -11.6% - 10.88% )²

= 0.8 × ( 5.62% )² + 0.2 × (-22.48%)²

= 0.8 × 0.0562² + 0.2 × 0.2248²

= 0.002526752 + 0.010107008

= 0.01263376 ≈ 0.012634

Hence,

The correct answer is option (B) 0.012634

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frez [133]

Answer:

The firm’s 2019 operating cash flow is $610,500

Explanation:

Cash Flow to Creditors

Cash Flow to Creditors = Interest Expenses Paid - Net Increase in Long term debt

= Interest Expenses Paid - [Long term debt at the end - Long term Debt at the Beginning]

= $95,500 - [$1,610,000 - $1,415,000]

= $95,500 - $195,000

= -$99,500

Cash Flow to Stockholders

Cash Flow to Stockholders = Dividend Paid – Net New Equity

= Dividend Paid – [(Common stock at the end + Additional paid-in surplus account at the end) - (Common stock at the beginning + Additional paid-in surplus account at the beginning)

= $148,000 - [($143,000 + $2,980,000) - ($143,000 + $2,680,000)]

= $148,000 - [$3,123,000- $2,823,000]

= $148,000 - $300,000

= -$152,000

Cash Flow from assets

Cash Flow from assets = Cash Flow to Creditors + Cash Flow to Stockholders

= -$99,500 - $152,000

= -$251,500

Operating Cash Flow

Cash flow from assets = Operating Cash flows - Change in Net Working capital - Net Capital Spending

-$251,500 = Operating cash flow - (-$128,000) - $990,000

-$251,500 = Operating cash flow + $128,000 - $990,000

Operating cash flow = $990,000 - $128,000 - $251,500

Operating cash flow = $610,500

Therefore, the firm’s 2019 operating cash flow is $610,500

6 0
2 years ago
Socks unlimited produces sport socks. the company has fixed expenses of $ 85 comma 000 and variable expenses of $ 1.20 per packa
aivan3 [116]

Answer:

Contribution margin per unit = Sales price per unit – Variable cost per unit

$2 - $1.20=$0.80

The contribution margin per package is $ 0.80.

Breakeven sales in units = Fixed expenses + Operating income ) / Contribution margin per unit $85,000 + $22,000/0.80 = 133,750 packages

Contribution margin per package = $2 - $1.00 = $1.00

Breakeven sales in units = Fixed expenses + Operating income ) / Contribution margin per unit

$100,000 + $22,000/$1= 122,000 packages

The firm will have to sell 122,000 packages to generate $22,000 of operating income. Socks unlimited would have to sell 11,750 less packages of socks to earn $22,000 of operating income. The increase in fixed costs was completely offset by the decrease in variable costs at the prior target profit volume of sales. Therefore, the firm will need to sell less units in order to achieve its target profit level.

6 0
3 years ago
Production costs chargeable to the Finishing Department in May at Kim Company are materials $7,700, labor $19,700, overhead $18,
kenny6666 [7]

Answer and Explanation:

The computation of the unit cost for material and conversion cost is shown below:

Material Cost per Unit is

= Total Material Cost ÷  Equivalent Units for Materials

,= ($7,700 +  $66,801) ÷ (20,300 units)

= $3.67 per unit

And, the conversion cost per unit is

= (labor cost + overhead cost) ÷ equivalent units for conversion

= ($19,700 + $18,289) ÷ 18,900 units

= $2.01 per unit

5 0
3 years ago
The discount rate is the interest rates on loans that the Federal Reserves makes banks. Banks occasionally borrow from the Feder
tigry1 [53]

Answer:

The higher discount rate lower the banks incentive to borrow from the Fed, lowering the quantity of reserves, and causing the money supply to fall.

This is because a higher discount rate makes borrowing from the Fed more expensive. Some of the money that would have been borrowed from the fed becomes bank reserves, and some other becomes loanable funds that increase the money supply. As a result, if banks borrow less from the fed, the money supply falls (or grow less).

The Fed Funds rate is the rate that banks charge one another for short-term overnight loans.

This occurs when banks are stripped of cash, and rely on other banks to meet their cash requirements for the day.

When the Fed buys government bonds, the reserves in the banking system increases, the banks demand for the reserves decreases, and the federal funds rate falls.

When the Fed buys government bonds, it is essentially creating money. This money enters the banking system in the form of reserves, of which some are loaned out, creating even money. Demand for the borrowed reserves falls because banks now need less of it, and as a result, their price: the federal funds rate, also falls.

Explanation:

8 0
3 years ago
if Alexis invest $2,000 into a fund that earns 5.5% interest compounded annually, how long will it take for her investment to gr
madreJ [45]

Answer:

73 years

Explanation:

To solve this problem, we can use the formula for the annual compound interest, which is:

A=P(1+r)^t

where:

A is the final amount after time t

P is the principal

r is the rate of interest

t is the time

In this problem, we have:

P=\$2000 is the principal

r=0.055 is the interest rate (5.5%)

We want to find the time t at which the amount of money is

A = $100,000

Therefore, we can re-arrange the equation and solve for t:

(1+r)^t=\frac{A}{P}\\t=log_{1+r}(\frac{A}{P})=log_{1+0.055}(\frac{100,000}{2000})=73

So, it will take 73 years.

3 0
3 years ago
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