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Andrews [41]
2 years ago
10

The last dividend paid by Wilden Corporation was $1.55. The dividend growth rate is expected to be constant at 1.5% for 2 years,

after which dividends are expected to grow at a rate of 8.0% forever. The firm's required return (rs) is 12.0%. What is the best estimate of the current stock price?
a. $38.16
b. $41.70
c. $40.48
d. $39.30
e. $37.05
Business
1 answer:
shtirl [24]2 years ago
8 0

Answer:

e)  $37.05

Explanation:

Using the dividend growth model, the value of a stock is the present value of the future dividends receivable discounted at the required rate of return . The required rate of return is given as 12%.

So we discount the year 3 dividend using the dividend growth model formula

P = D (1+g)/r-g

r- rate of return, g = growth rate

Present value of the future dividends:

PV of Year 1 = 1.55(1.015)m × 1.12^(-1)

                     = 1.4047

PV of Year 2 = 1.55 (1.015)(1.015) × 1.12^(-2)

                     =  1.27

PV of Year 3 (this will be done in two steps)

Step 1; PV (in yr 2) of year 3 dividend

= (1.55)(1.015)^2×(1.08)/(0.12-0.08)

=43.114

Step 2 : PV (in yr 2) of year 3 dividend

  =43.114 × (1.12^(-2))

   = 34.37

Best estimate of stock = 1.40 + 1.27 +34.37

                                       = $37.05

Note

To discount the year 3 dividend, we use two steps. The first stp helps get the PV in year 2, and step 3 helps to take it further to the PV in year 0

         

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1-a. Dollars of gross profit from selling tags = $9,180

1-b. Dollars of gross profit from selling cases = $1,500

1-c. Gross profit percentage from selling tags = 72.86%

1.d. Gross profit percentage from selling cases = 83.33%

2-a. Tag yields more dollars of profit.

2-b. Tag yields more profit per dollar of sales.

Explanation:

Note: The requirements for this question are two not three as erroneously stated. This is because, the first and the third question are the same. Therefore, the two relevant requirements of the question are:

1. Calculate the dollars of gross profit and the gross profit percentage from selling tags and cases.

2. Which product line yields more dollars of profit? - Which product line yields more profit per dollar of sales?

The explanation of the answers is now given as follows:

1. Calculate the dollars of gross profit and the gross profit percentage from selling tags and cases.

Sales revenue from tags = Sales value of 160 tags mailed to customers on Jan. 8 at a price of $30 per tag + Sales value of 260 tags mailed to customers on Jan. 21 at a price of $30 per tag = (160 * $30) + (260 * $30) = $12,600

Sales revenue from cases = Sales value of 120 cases mailed to customers on Jan. 19 at a price of $15 per case = 120 * $15 = $1,800

Total number of tags sold = 160 tags mailed to customers + 260 tags mailed to customers on Jan. 21 = 420

Total number of cases sold = 120 cases mailed to customers on Jan. 19 at a price of $15 per case = 120

Using FIFO, we have:

Cost of tags sold = Value of 260 tags purchased on Jan.2 from Xioasi Manufacturing (XM) at a cost of $7 per tag + Value of the remaining 160 (i.e. 420 – 260 = 160) tags sold based on the 360 tags purchased on Jan. 11 from XM at a cost of $10 per tag = (260 * $7) + (160 * $10) = $3,420

Cost of cases sold = Value of 60 cases purchased on Jan.4 from Bachittar Products (BP) at a cost of $2 per case + Value of the remaining 60 cases sold based on the 160 cases purchased on Jan. 14 from BP at a cost of $3 per case = (60 * $2) + (60 * $3) = $300

Therefore, we have:

1-a. Dollars of gross profit from selling tags = Sales revenue from tags - Cost of tags sold = $12,600 - $3,420 = $9,180

1-b. Dollars of gross profit from selling cases = Sales revenue from cases - Cost of cases sold = $1,800 - $300 = $1,500

1-c. Gross profit percentage from selling tags = (Dollars of gross profit from selling tags / Sales revenue from tags) * 100 = ($9,180 / $12,600) * 100 = 72.86%

1.d. Gross profit percentage from selling cases = (Dollars of gross profit from selling cases / Sales revenue from cases) * 100 = 83.33%

2. Which product line yields more dollars of profit? - Which product line yields more profit per dollar of sales?

2-a. Which product line yields more dollars of profit?

From part 1 above, we have:

Dollars of gross profit from selling tags = $9,180

Dollars of gross profit from selling cases = $1,500

Since the dollars of gross profit from selling tags of $9,180 is greater than the dollars of gross profit from selling cases of $1,500, this implies that Tag yields more dollars of profit.

2-b. Which product line yields more profit per dollar of sales?

From part 1 above, we have:

Total number of tags sold = 420

Total number of cases sold = 120

Therefore, we have:

Tag's profit per dollar of sales = Dollars of gross profit from selling tags / Total number of tags sold = $9,180 / 420 = $21.86

Case's profit per dollar of sales = Dollars of gross profit from selling cases / Total number of cases sold = $1,500 / 120 = $12.50

Since Tag's profit per dollar of sales of $21.86 is greater than Case's profit per dollar of sales of $12.50, this implies that Tag yields more profit per dollar of sales.

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