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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%.

You might be interested in
why is the quantity of education demand in private universities Much more responsive than salt is to change in price ?​
Nuetrik [128]

Answer:

Education demand is elastic as compared to salt demand which is highly inelastic.

Explanation:

Elasticity of demand is a measure of the responsiveness of the demand of a good or service relative to it's corresponding change in price. A demand curve can be used to determine the degree of elasticity. A demand curve is a graphical representation of how price varies with quantity of goods and services demanded. The quantity of goods demanded is plotted on the horizontal axis of the graph with the corresponding price plotted on the vertical axis of the graph. With the graph, the elasticity of demand can be calculated. The formula for determining elasticity for demand is;

ED=Q/P

where;

ED=elasticity of demand

Q=percentage change in quantity demanded, where

Q={(Q2-Q1)/Q1}×100

Q2=quantity demanded when price is P2

Q1=quantity demanded when price is P1

P=percentage change in price, where;

P={(P2-P1)/P1}×100

P2=final price

P1=initial price

The formula above can be used to determine the degree of elasticity of a good or service as shown;

If the price elasticity of demand is greater than 1, then the demand is elastic. Meaning the demand is very sensitive to changes in price. This usually happens on goods and services that are wants rather than needs. Wants are luxuries that most people can do without or can find cheaper alternatives while needs are goods that most people can't do without.

If the price elasticity of demand is less than 1, then the good or service is inelastic. Meaning the demand is not very sensitive to changes in price. This usually happens on goods and services that are needs. Needs are goods and services that most people cannot do without.

In our case, salt is a need that most people cannot do without, therefor inelastic. However, quantity of education in private universities is highly elastic since there are many alternatives like public universities that are much cheaper compared to private universities. So a change in price will affect the quantity of demand.

8 0
2 years ago
Henry Co. manufactures DVD players. At the end of Year 1, Henry's management believes the growing popularity of streaming video
zysi [14]

Answer:

Not impaired because the fair value of the equipment is greater than the carrying value of the asset by $120,000.

Explanation:

Impairment will happen if carrying amount is greater than the fair value of the assets, here the carrying value of the assets is 1,480,000, which is lessor than the fair value of the assets 1,600,000 by 120,000. Hence impairment will not happen so 1st option is correct.

6 0
2 years ago
Read 2 more answers
PLEASE HELP ASAP!!!!
dimaraw [331]

Answer:

its A

Explanation:

Debt Financing

5 0
2 years ago
Read 2 more answers
Chubbs Inc.’s manufacturing overhead budget for the first quarter of 2017 contained the following data. Variable Costs Fixed Cos
nydimaria [60]

Answer:

\left[\begin{array}{cccc}-&Budget&Variance&Actual\\IL&10,000&700&9,300\\IM&11000&-3,800&14,800\\Utilities&7,400&-2,400&9,800\\Maintenance&6,000&1,200&4,800\\Total  \: Variable&34,400&-4,300&38,700\\Supervisor&35,400&0&35,400\\Depreciation&7,100&0&7100\\PT and insurance&7,700&-600&8,300\\Maintenance&6,000&0&6,000\\Total \: Fixed&56,200&-600&56,800\\Total \: MO&90,600&-4,900&95,500\\\end{array}\right]

Explanation:

We list them and subtract budget - actual

When actual is greater than budget the variance is negatine.

While budget being lower than actual is considered a positive variance.

3 0
1 year ago
Given a prior forecast demand value of 1,100, a related actual demand value of 1,000, and a smoothing constant alpha of 0.3, wha
Korvikt [17]

Answer:

1,030

Explanation:

Calculation for what is the exponential smoothing forecast value

Exponential smoothing forecast value = 1,000 + 0.3 x (1,100-1,000)

Exponential smoothing forecast value = 1,000 + 0.3 x (100)

Exponential smoothing forecast value = 1,000 + 30

Exponential smoothing forecast value= 1,030

Therefore the exponential smoothing forecast value will be 1,030

5 0
2 years ago
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