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nignag [31]
3 years ago
9

The common stock of Zeta Group sells for $42 per share, has a rate of return of 12.2 percent, and a dividend growth rate of 1.8

percent annually. What was the amount of the last annual dividend paid
Business
1 answer:
Soloha48 [4]3 years ago
6 0

Answer:

The amount of the last annual dividend paid is <u>$4.3</u>.

Explanation:

Given:

The common stock of Zeta Group sells for $42 per share, has a rate of return of 12.2 percent, and a dividend growth rate of 1.8 percent annually.

Now, to find the amount of last annual dividend paid.

Let the amount of last annual dividend paid be l.

Price of per share (p) = \$42.

Rate of return (r) = 12.2\%.

Rate of dividend growth (g) = 1.8\%.

Now, to get the amount of last dividend paid we put formula:

p=\frac{l(1+g)}{r-g}

42=\frac{l(1+1.8\%)}{12.2\%-1.8\%}

42=\frac{l(1+0.018)}{0.122-0.018}

42=\frac{l\times 1.018}{0.104}

<em>Multiplying both sides by 0.104 we get:</em>

<em />4.368=1.018l<em />

<em>Dividing both sides by 1.018 we get:</em>

4.3=l

l=\$4.3.

Therefore, the amount of the last annual dividend paid is $4.3.

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Teddy Bower is an outdoor clothing and accessories chain that purchases a line of parkas at $12 each from its Asian supplier, Te
brilliants [131]

Answer:

a) 2179 parkas

b) 0.7389

c) 174 customers

d) 10,772

Explanation:

Given:

Bower's selling price =$22

Salvage value: $0

Cost price = $12

Mean distribution= 2300 parkas

S.d = 1100 parkas

a) Number of parkas Teddy Bower should buy from Teddysports to maximize profit:

Let's first calculate overage(Co) and underage (Cu) cost.

•Cu = Selling price - Cost price

= $22 - $12

= $10

Underage cost = $10

•Co = Cost price - Salvage value

= $12 - $0

= $12

Overage cost = $12

Let's now find the critical ratio with the formula:

\frac{C_u}{C_u+C_o}

= \frac{10}{12+10}

= 0.4545

From the Excel function NORMSINV, the corresponding z value is =

NORMSINV(0.4545)

z value = -0.11

For the number of parkas Teddy Brown should order, we have:

Quantity = Mean +(z*s.d)

= 2300+ (-0.11 * 1100)

= 2179 parkas

b) for z value corresponding to expected sales of 3000 parkas, we have:

z value = (expected demand -mean)/s.d

\frac{3000-2300}{1100}

= 0.64

From the Excel function NOEMSDIST, the corresponding probability =

NORMSDIST(0.64)

= 0.7389 = 73.89%

In stock probability = 0.7389

c) For L(0.64) using the standard normal loss function table, L(z) =

L (0.64) = 0.158

For expected lost sales, we have:

S.d * L(z)

= 1100* 0.158

= 173.8

= 174.

On average, there is expected to be a turn away of 174 customers due to shortage.

d)

Lets first calculate expected sales and left over inventory.

•Expected sales = Mean -expected lost sales

= 2,300 - 174

= 2,126

•Left over inventory expected=

Expected demand - Expected lost sales

= 3000 - 2126

= 874

For expected profit, we have:

(C_u* Expected lost sales)-(C_o* Expected leftover inventory)

=($10*2126)-($12*874)

= $10,772

Profit expected = $10,772

3 0
3 years ago
Friendly Financial has $230 million in consumer loans with an average interest rate of 19 percent. The bank also has $148 millio
Pachacha [2.7K]

Answer:

$85.84 Million

Explanation:

Interest Income has been calculated as under:

Income on Consumer Loan = $372 * 17% =         $63.24 Million

Income on Home Equity = $130 * 14% =               $18.2   Million

Income on Consumer Loan = $40 * 11% =          <u>  $4.4     Million</u>

Total Income                                                        $85.84 Million

So the total income that the Friendly Financial will earn from the money invested will be $85.84 million.

7 0
3 years ago
An investment is advertised as returning 5.5% every 6 months (semiannually), compounded semiannually. If $50,000 is invested, th
Alecsey [184]

Answer:

(A) 11.3% (B) $430,000

Explanation:

There seems to be an error in the compounding equation written as A(t) = 50,000(1.055)2t.

Compounding the semi annual return, the equation should be

A(t) = 50,000 * 1.055^{2t}

where t is the number of years.

The equation is similar to the first expected that 1.055 is raised to the power of (2t) and not multiplied by it.

(A) Compounding at 5.5% semi-annually, the equivalent annual growth rate is computed as follows.

= 1.055^{2} -1

= 1.113025 - 1

= 0.113025 = 11.3025%

= 11.3% (to the nearest tenth of a percent).

(B) In 20 years, the investment will be worth

A(t) = 50,000 * 1.055^{2t} (where t=20)

= A(t) = 50,000 * 1.055^{2*20}

= A(t) = 50,000 * 1.055^{40}

= 50,000 * 8.5133

= $425,665

= $430,000 (to the nearest ten thousand dollars)

5 0
3 years ago
You recently received a letter from Cut-to-the-Chase National Bank that offers you a new credit card that has no annual fee. It
Alex17521 [72]

Answer:

Effect Annual rate of return =17.22%

Explanation:

The Effective annual rate of return is the equivalent rate earned where compounding is done frequently at period or interval  less than a year.

EAR = (1+r/m)^n× m - 1

EAR - Equivalent annual rate of return, r- annul rate of return, n-number of years

r= 16/12 =1.333%, n= 1    m= 12 (note there are 12 months in a year)

EAR = (1+0.16/12)^(1×12) -   1

EAR = 1.0133^12 - 1 = 0.1722

EAR   0.1722  × 100 =  17.22%

Effect Annual rate of return =17.22%

7 0
3 years ago
What does it mean to exchange national boundaries?
Alenkinab [10]

Answer:

Nations are defined by boundaries— separating others from the self. A nation is like a human body with an immune system: repelling alien “invaders” that may penetrate into the interior

Explanation:

5 0
3 years ago
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