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quester [9]
2 years ago
15

A portfolio is composed of two securities, Stock X and Stock Z. Stock X has a standard deviation of returns of 35%, while Stock

Z has a standard deviation of returns of 15%. The correlation coefficient between the returns on X and Z is .25. If Stock X comprises 40% of the portfolio, while Stock Z comprises 60% of the portfolio, what is the standard deviation of this two-risky-asset portfolio
Business
1 answer:
emmainna [20.7K]2 years ago
8 0

Answer:

Portfolio SD = 0.18439 or 18.439%

Explanation:

The standard deviation of a stock or a portfolio is the measure of the total risk contained in the stock or portfolio. Risk can be defined as the volatility of the stock returns. To calculate the standard deviation of a two stock portfolio, we use the attached formula.

If the weight of stock x is 40%, the weight of stock y will be 1 - 40% = 60%

SD = √(0.4)^2 * (0.35)^2 + (0.6)^2 * (0.15)^2 + 2 * 0.4 * 0.6 * 0.25 * 0.35 * 0.15

SD = 0.18439 or 18.439%

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Suppose that France and Denmark both produce fish and stained glass. France's opportunity cost of producing a pane of stained gl
andriy [413]

Answer:

France has a comparative advantage in the production of stained glass.

Denmark has a comparative advantage in production of fish.

France will gain from trade as long as it gets more than 3 pounds of fish for each pane of stained glass.

Denmark can gain from trade if it gets more than 0.09 pane of stained glass for each pound of fish it exports.

4 pounds of fish per pane of stained glass.

7 pounds of fish per pane of stained glass.

Explanation:

France and Denmark both produce fish and stained glass.

France's opportunity cost of producing a pane of stained glass

= 3 pounds of fish

Denmark's opportunity cost of producing a pane of stained glass

= 11 pounds of fish

France's opportunity cost of producing a pound of fish

= \frac{1}{3}

= 0.33 pane of stained glass

Denmark's opportunity cost of producing a pound of fish

= \frac{1}{11}

= 0.09 pane of stained glass

France has a lower opportunity cost of producing stained glass so we can say it has a comparative advantage in the production of stained glass. While Denmark has a comparative advantage in the production of fish.

If both countries start to trade with each other, France will gain from trade as long as it gets more than 3 pounds of fish for each pane of stained glass.

While Denmark can gain from trade if it gets more than 0.09 pane of stained glass for each pound of fish it exports.

Both the countries will gain from trade if the trade price lies between their opportunity cost. both countries will gain from trade if the price is 4 pounds of fish per pane of stained glass or 7 pounds of fish per pane of stained glass.

8 0
3 years ago
Nick lives in San Diego and loves to eat desserts. He spends his entire weekly allowance on jello and pie. A bowl of jello is pr
OlgaM077 [116]

Answer:

Yes.

Explanation:

Market rate of exchange of jello for pie:

= Price of a piece of apple pie ÷ Price of jello

= $3.75 ÷ $1.25

= 3.00

At his current consumption point, Nick's marginal rate of substitution (MRS) of jello for pie = 3

Since MRS = Px/Py, hence, at this point of consumption bundle he is having a maximum level of utility.

Therefore, there is no need to change his consumption bundle because he is already at his maximum level.

4 0
3 years ago
You were asked to estimate the cost of capital for XYZ Inc. The firm is expected to have a target capital structure of 30% debt,
kap26 [50]

Answer:

8.30%

Explanation:

The weighted average cost of capital of the company is  computed using the WACC formula below:

WACC=(We*Ke)+(Wp*Kp)+(Wd*kd)

We=weight of common equity=50%

Ke=cost of retained earnings which is a proxy for the cost of equity=11.50%

Wp=weight of preferred stock=20%

Kp=cost of preferred stock=6.00%

Wd=weight of debt=30%

Kd=after-tax cost of debt=4.50%

WACC=(50%*11.50%)+(20%*6.00%)+(30%*4.50%)

WACC=8.30%

3 0
3 years ago
​Doug's Boat​ Shop, Inc. reports operating income of​ $260,000 and interest expense of​ $31,200. The average common​ stockholder
SCORPION-xisa [38]

Answer:

1.  Interest coverage ratio=8.33

2. debt stockholder ratio=0.624

3. debt ratio=0.21

Explanation:

Leverage ratio is a financial tool used to determine a company's level of debt and it's ability to handle debt without going bankrupt.

1. Consider the interest coverage ratio formula;

interest coverage ratio=operating income/interest expense

where;

operating income=$260,000

interest expense= $31,200

replacing;

interest coverage ratio=260,000/31,200=8.33

2. Consider the debt to equity ratio formula;

debt to equity ratio=debt/stockholder equity

where;

debt=interest expense=$31,200

stockholder equity= $50,000

replacing;

debt stockholder ratio=31,200/50,000=0.624

3. Consider the debt ratio formula;

debt ratio=debt/assets

where;

debt=interest expense=$31,200

average assets=(beginning asset balance+ending asset balance)/2

average assets=(115,000+180,000)/2=$147,500

replacing;

debt ratio=31,200/147,500=0.21

3 0
3 years ago
UP Forklifts sells two products, large forklifts and small forklifts. A large forklift sells for $80,000 per unit with variable
Pepsi [2]

Answer:

The break-even point in total units is 70

Explanation:

Particulars                          Large Fork Lift        Small Fork Lift        Total

Selling price Per Unit              $80,000                  $60,000

Less: Variable Cost Per Unit $24,000                   $11,000  

Contribution per unit               $56,000                  $49,000

Sales Mix                                       1                                 4

Total Contribution per            $56,000                 $196,000    $252,000

sales mix  

Contribution per unit of sales mix ($252000/5)                         $50,400

Fixed Costs                                                                                    $3,528,000

Break-even point in total units ($3,528,000 / 50,400)                      70

6 0
3 years ago
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