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sladkih [1.3K]
3 years ago
8

A company pays a constant 6.5 dividend on stock. The dividend will maintain for the next 12 years and cease forever. The require

d return on the stock is 9.1 percent. What is the current share price?
Business
1 answer:
zalisa [80]3 years ago
6 0

Answer:

$46.31

Explanation:

Calculation to determine the current share price

Using this formula

Current share price=6.5*Present value of annuity factor(9.1%,12)

Present value of annuity=Annuity*[1-(1+interest rate)^-time period]/rate

Let plug in the formula

Current share price=6.5*[1-(1+0.091)^-12]/0.091

Current share price=6.5*[1-(1.091)^-12]/0.091

Current share price=6.5*7.124793

Current share price=$46.31

Therefore the current share price will be $46.31

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D. $ 10,300

Choice D is correct:  Net income = $ 10,300

Explanation:

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Less utilities paid                                       ($ <u>500)</u>

<u>Net income=</u>                                               $ 10,300

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6 0
3 years ago
Olivia bought a $1,874 sprinkler system with her credit card. Her credit card has an APR of 10.31%, compounded monthly. She made
Radda [10]

Answer:

Percentage of the total lifetime cost of the system that the original price made up = 59.07%

Explanation:

The monthly payments for the sprinkler system can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or original price of the sprinkler = $1,874

P = Monthly payment = ?

r = Monthly interest rate = APR / 12 = 10.31% / 12 = 0.1031 / 12 = 0.00859166666666667

n = number of months = number of years of payment * 12 = 4 * 12 = 48

Substitute the values into equation (1) and solve P, we have:

$1,874 = P * ((1 - (1 / (1 + 0.00859166666666667))^48) / 0.00859166666666667)

$1,874 = P * 39.1976732321759

P = $1,874 / 39.1976732321759

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Total payment for the sprinkler = Monthly payments * Number of months = P * n = $47.81 * 48 = $2,294.88

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Total lifetime cost of the system = Total payment for the sprinkler + Total cost in water = $2,294.88 + $877.76 = $3,172.64

Percentage of the total lifetime cost of the system that the original price made up = (Original price of the sprinkler / Total lifetime cost of the system) * 100 = ($1,874 / $3,172.64) * 100 = 59.07%

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Answer:

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