The question is incomplete. Here is the complete question:
The following annual returns for Stock E are projected over the next year for three possible states of the economy. What is the stock’s expected return and standard deviation of returns? E(R) = 8.5% ; σ = 22.70%; mean = $7.50; standard deviation = $2.50
State Prob E(R)
Boom 10% 40%
Normal 60% 20%
Recession
30% - 25%
Answer:
The expected return of the stock E(R) is 8.5%.
The standard deviation of the returns is 22.7%
Explanation:
<u>Expected return</u>
The expected return of the stock can be calculated by multiplying the stock's expected return E(R) in each state of economy by the probability of that state.
The expected return E(R) = (0.4 * 0.1) + (0.2 * 0.6) + (-0.25 * 0.3)
The expected return E(R) = 0.04 + 0.12 -0.075 = 0.085 or 8.5%
<u>Standard Deviation of returns</u>
The standard deviation is a measure of total risk. It measures the volatility of the stock's expected return. The standard deviation (SD) of a stock's return can be calculated by using the following formula:
SD = √(rA - E(R))² * (pA) + (rB - E(R))² * (pB) + ... + (rN - E(R))² * (pN)
Where,
- rA, rB to rN is the return under event A, B to N.
- pA, pB to pN is the probability of these events to occur
- E(R) is the expected return of the stock
Here, the events are the state of economy.
So, SD = √(0.4 - 0.085)² * (0.1) + (0.2 - 0.085)² * (0.6) + (-0.25 - 0.085)² * (0.3)
SD = 0.22699 or 22.699% rounded off to 22.70%
The discount lost account is used under the net method for inventory.
<h3><u>
What is discount?</u></h3>
- When a security is trading for less than its intrinsic or basic value, it is said to be trading at a discount in the world of finance and investment.
- When a bond's price is trading below its par value, or face value, in the fixed-income market, a discount is present.
- The extent of the discount is equal to the difference between the price paid for a security and its par value.
- Bonds may trade at a discount for a variety of reasons, such as rising interest rates, problems with the underlying company's credit, or riskiness when compared to comparable bonds.
The discount rate, an interest rate used to calculate the time worth of money, should not be confused with a discount.
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The price of a camera decreases from $200 to $180, and in response to the price change the quantity demanded increases from 60 to 70 units. Therefore, demand for cameras in this price range is inelastic.
An economic word known as "inelasticity" describes an item or service's unchanging quantity when its price varies. When prices rise, consumers' purchasing patterns essentially stay the same, and when prices fall, those same purchasing patterns still hold true. This is known as inelastic demand. When an item or service's quantity remains constant when its price increases, it is said to be "inelastic. "When a good or service's price increases or decreases, consumers' purchasing patterns essentially stay the same. The same is true when the price of the good or service decreases. The demand for an item or service that is totally inelastic would not fluctuate regardless of price; however, no such good or service exists. Elastic contrasts with inelastic.
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Answer:
$18,500
Explanation:
The computation of the balance of Service Revenue shown on the adjusted trial balance is shown below:
= Service revenue ending balance + accrued value
where,
Accrued value = $1,500 ÷ 3 = $500
And, the service revenue ending balance is $18,000
So, the Service revenue balance equal to
= $18,000 + $500
= $18,500
This is the answer but the same is not given in the options mentioned in the question.
