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erastova [34]
3 years ago
9

You recently purchased a stock that is expected to earn 22 percent in a booming economy, 11 percent in a normal economy, and los

e 4 percent in a recessionary economy. There is a 24 percent probability of a boom, a 67 percent chance of a normal economy, and a 9 percent chance of a recession. What is your expected rate of return on this stock?
a. 6.14 percent
b. 11.00 percent
c. 12.29 percent
d. 9.67 percent
e. 3.45 percent
Business
1 answer:
UkoKoshka [18]3 years ago
3 0

Answer:

Return on stock will be 12.65%

So option (c) will be the correct option

Explanation:

We have given expected return in booming economy = 22 %

Expected return in normal economy = 11 %

Expected return in recessionary economy = 4%

Probability of boom = 24% = 0.24

probability of normal economy = 67%=0.67

Probability of recession = 9 % =0.09

So  Expected return on stock = (Return in boom economy x Probability of boom economy) + (Return in normal economy x Probability of normal economy) +(Return in recessionary economy x Probability of recessionary economy)

Expected return on stock = (0.22 x 0.24) + (0.11 x 0.67) + (-0.04 x 0.09)

= 0.0528 + 0.0737 = 0.1265 = 12.6%

So option (c) will be the correct option

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A student has a savings account earning 9% simple interest. She must pay $1400 for first-semester tuition by September 1 and $14
IRINA_888 [86]

Answer: The answer is $2,759.22

Explanation: From the question above, we have:

September 1st to January 1st is 4 months, this is 1/3 of a year which means that the student will earn:

=> 9/3 = 3%

3% interest for the money that is saved is the savings account. So the student must put in at least:

x + 3%x = 1400

x + 0.03x = 1400

1.03x = 1400

x = 1400 / 1.03

x = 1,359.22

Therefore, if the student saves $1,359.22 in the savings account By September 1st, she will have $1400 by January 1st.

Also, the student needs to make $1400 for the first semester. So overall she will need to make:

1,400 + 1,359.22 = $2,759.22 during the summer in order to ensure that she will have enough money to pay for both semesters.

7 0
3 years ago
What is the expected value when a $1 lottery ticket is bought in which the purchaser wins exactly $10 million if the ticket cont
Nadusha1986 [10]

We expect to lose $0.37 per lottery ticket

<u>Explanation:</u>

six winning numbers from = { 1, 2, 3, ....., 50}

So, the probability of winning:

P(win) = \frac{ no of favorable outcomes}{no of possible outcomes}

P(win) = \frac{1}{^5^0C_6} \\\\P (win) = \frac{6! X (50 - 6)!}{50!} \\\\P(win) = \frac{6! X 44!}{50!} \\\\P(win) = \frac{1}{15,890,700}

The probability of losing would be:

P(loss) = 1 - P(win)

P(loss) = 1 - \frac{1}{15,890,700} \\\\P(loss) = \frac{15,890,699}{15,890,700}

According to the question,

When we win, then we gain $10 million and lose the cost of the lottery ticket.

So,

$10,000,000 - 1 = $9,999,999

When we lose, then we lose the cost of the lottery ticket = $1

The expected value is the sum of the product of each possibility x with its probability P(x):

E(x) = ∑ xP(x)

= 9,999,999 X \frac{1}{15,890,700}  + ( -1 ) X \frac{15,890,699}{15,890,700} \\\\=- \frac{5,890,700}{15,890,700} \\\\= - \frac{58,907}{158,907} \\\\= - 0.37

Thus, we expect to lose $0.37 per lottery ticket

7 0
3 years ago
You just sold 300 shares of stock at a price of $42.06 a share. You purchased the stock for $39.80 a share and have received tot
Alex Ar [27]

Answer:

$678

Explanation:

Given that,

Number of shares sold = 300

Selling price of each share = $42.06

Cost of purchasing shares = $39.80 per share

Total dividend received = $1,272

We can easily determine the total capital gain on this investment by comparing the sales value and purchase value of this stock.

Total capital gain on this investment:

= Sales value - Purchase value

= (Number of units × Selling price per unit) - (Number of units × cost of purchasing per share)

= (300 × $42.06) - (300 × $39.80)

= $12,618 - $11,940

= $678

3 0
3 years ago
Assuming a 360-day year, when a $20,000, 90-day, 5% interest-bearing note payable matures, total payment will be
solong [7]

Answer:

total payment will be $21,000.

Explanation:

The Payment at maturity will include, the Principle amount (amount borrowed) and the Interest that accrued over the period of the note payable.

<u>Total Payment Calculation :</u>

Principle amount            = $20,000

Interest ($20,000 × 5%) =    $1,000

Total Payment                =  $21,000

7 0
3 years ago
A monopolist produces a. more than the socially efficient quantity of output but at a higher price than in a competitive market.
irina [24]

Answer:

B

Explanation:

First, a monopoly produce less than the socially efficient quantity because as the figure shows, the quantity produced is determined by the intersection between the marginal cost curve (MC) and the marginal revenue curve (MR) and not by the intersection between the MC and the demand. For instance, there is a deadweight loss (shown by the figure).

Second, equilibrium price is always higher than in a competitive market because is always higher than the MC. The price is determined by the equilibrium quantity (found before) and the demand. Also, there are barries to entry and so monopolist have always price control.

4 0
3 years ago
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