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aleksandr82 [10.1K]
3 years ago
6

The Magic Flute Company paid cash dividends totaling $ 310,000 in 2016 and $ 190,000 in 2017. In​ 2018, the company will pay cas

h dividends of $ 955,000. There were no dividends in arrears as of January​ 1, 2016. There are 28,000 shares of common stock outstanding and 80,000 shares of 6​ percent, $100 par cumulative preferred stock outstanding. What is the amount of cash dividends payable to common stockholders in 2018?
Business
1 answer:
Lady bird [3.3K]3 years ago
4 0

Answer:

$15000

Explanation:

The preferred dividend per year = (80000 \times $100) \times 6% = 480000

Here, the preference shares are cumulative thus dividends for preferred stocks are:

For 2016 = $310000  ( $480000 – 310000 = 170000 arrear)

For 2017 = $190000  ($480000 – 190000 = 290000 arrear )

Total arrear till 2017 = 170000 arrear + 290000 arrear = $460000

For 2018 = 480000 + 460000 = $940000

Thus, the amount of dividend payable to common stockholders in 2018 = $955000 - $940000 = $15000

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(a) What amount should be deposited in a fund at the end of each quarter at 7% compounded quarterly so that there will be enough
gizmo_the_mogwai [7]

Answer:

(a) The deposit should be <u>$168.06 </u>quarterly.

(a) The deposit should be <u>$145.32 </u>quarterly.

Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

An investor needs $11,000 in 19 years.

(a) What amount should be deposited in a fund at the end of each quarter at 7% compounded quarterly so that there will be enough money in the fund?

(b) Find the investors quarterly deposit if the money is deposited at 9.4% compounded quarterly.

The explanations to the answers are now given as follows:

(a) What amount should be deposited in a fund at the end of each quarter at 7% compounded quarterly so that there will be enough money in the fund?

Since the amount should be deposited in a fund at the end of each quarter, the formula for calculating the Future Value (FV) of an Ordinary Annuity is used as follows:

FV = M * {[(1 + r)^n - 1] / r} ................................. (1)

Where,

FV = Future value of the amount needed in 19 years = $11,000

M = Quarterly deposit = ?

r = Quarterly interest rate = 7% / 4 = 0.07 / 4 = 0.0175

n = number of quarters the deposits will be made = 11 * 4 = 44

Substituting the values into equation (1) and solve for M, we have:

11,000 = M * {[(1 + 0.0175)^44 - 1] / 0.0175}

11,000 = M * 65.4531536741798

M = 11,000 / 65.4531536741798

M = $168.06

(b) Find the investors quarterly deposit if the money is deposited at 9.4% compounded quarterly.

We make use of equation (1) in part (a) as follows:

Where,

FV = Future value of the amount needed in 19 years = $11,000

M = Quarterly deposit = ?

r = Quarterly interest rate = 9.4% / 4 = 0.094 / 4 = 0.0235

n = number of quarters the deposits will be made = 11 * 4 = 44

Substituting the values into equation (1) and solve for M, we have:

11,000 = M * {[(1 + 0.0235)^44 - 1] / 0.0235}

11,000 = M * 75.6957891651599

M = 11,000 / 75.6957891651599

M = $145.32

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