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STALIN [3.7K]
3 years ago
8

The Starr Co. just paid a dividend of $1.65 per share on its stock. The dividends are expected to grow at a constant rate of 5 p

ercent per year, indefinitely. Investors require a return of 12 percent on the stock. What is the current price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) What will the price be in three years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) What will the price be in 14 years?
Business
1 answer:
Bad White [126]3 years ago
8 0

Answer:

(a) $24.75

(b) $28.651

(c) $49

Explanation:

Given that,

Dividend paid recently = $1.65 per share

Growth rate of dividend, g = 5% per year

Return require, rr = 12 percent

(a) Current price:

= [Dividend paid × (1 + g)] ÷ (rr - g)

= [$1.65 × (1 + 0.05)] ÷ (0.12 - 0.05)

= $1.7325 ÷ 0.07

= $24.75

(b) Price in three years:

= Current price × (1 + g)^(3)

= $24.75 × (1 + 0.05)^(3)

= $24.75 × (1.05)^(3)

= $24.75 × 1.157625

= $28.651

(c) Price in 14 years:

= Current price × (1 + g)^(14)

= $24.75 × (1 + 0.05)^(14)

= $24.75 × (1.05)^(14)

= $24.75 × 1.9799316

= $49

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The appropriate solution is:

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(b) $4005656.85

(c) $3609800

Explanation:

The given values are:

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Per case cost,

C = $20

Carrying host,

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Ordering cost,

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(a)

The economic order quantity will be:

⇒ Q^*=\sqrt{(\frac{2DS}{H} )}

On substituting the values, we get

         =\sqrt{[\frac{(2\times 200000\times 40)}{2} ]}

         =\sqrt{\frac{16000000}{2} }

         =2828

(b)

According to the question,

The annual ordering cost will be:

=  (\frac{D}{Q^*}) S

=  (\frac{200000}{2828}) 40

=  2828.85 ($)

The annual carrying cost will be:

=  (\frac{Q^*}{2})H

=  (\frac{2828}{2} )2

=  2828 ($)

The annual purchase cost will be:

=  D\times C

=  200000\times 20

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=  2828.85+2828+4000000

=  4005656.85 ($)

(c)

According to the question,

Order quantity,

Q = 10000 cases

Per case cost,

C = $18

Carrying cost,

H = 10 \ percent\times 18

   = 1.8

The annual ordering cost will be:

=  (\frac{D}{Q} )S

=  (\frac{200000}{10000} )40

=  800 ($)

The annual carrying cost will be:

=  (\frac{Q}{2} )H

=  (\frac{10000}{2} )1.8

=  9000 ($)

The annual purchase cost will be:

=  D\times C

=  200000\times 18

=  3600000

Now,

The total cost of inventory will be:

=  800+9000+3600000

=  3609800 ($)

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Answer:

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Using this formula

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Let plug in the formula

Economic profit =$50,000×(0.05 - 0.08)

Economic profit =$50,000×(-0.03)

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