10. CHALLENGE PROBLEM The Racitis own 300 shares of Clayton
Manufacturing, which they purchased at $36.30 per share. They also
purchased 200 shares at $22.50 per share. The dividend per share paid
by the company is $0.72. (a) What is the average price per share?
(b) What are the Racitis' annual dividends? (c) What is the average
annual yield?

Answer :

Cricetus

Answer:

The right answer is:

(a) $30.78

(b) $360

(c) 2.339%

Step-by-step explanation:

The given values are:

At $36.30 per share,

Purchased = 300 shares

At $22.50 per share,

Purchased = 200 shares

Per share dividend,

= $0.72

Now,

(a)

The average price per share will be:

=  [tex]\frac{(300\times 36.30)+(200\times 22.50)}{300+200}[/tex]

=  [tex]\frac{10,890+4,500}{500}[/tex]

=  [tex]\frac{15,390}{500}[/tex]

=  [tex]30.78[/tex] ($)

(b)

The annual dividend will be:

=  [tex]0.72\times Number \ of \ shares[/tex]

=  [tex]0.72\times 500[/tex]

=  [tex]360[/tex] ($)

(c)

The average annual yield will be:

=  [tex]\frac{Dividend \ per \ share}{Average \ cost}\times 100[/tex]

=  [tex]\frac{0.72}{30.78}\times 100[/tex]

=  [tex]2.339[/tex]%

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