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Using the chart below, use the constant growth valuation model to calculate Cost

ID: 2646395 • Letter: U

Question

Using the chart below, use the constant growth valuation model to calculate

Cost of retained earnings

Cost of new common stock

Current Mkt

Dividend

Proj Div/share

Underpricing

Flotation

Company

Price / Share

Growth rate

next year

per share

cost/share

1

$20.00

4%

$1.00

$0.50

$1.50

2

$19.00

2%

$2.10

$1.30

$1.70

3

$42.50

6%

$2.00

$1.00

$2.00

4

$50.00

8%

$2.25

$2.00

$1.00

Current Mkt

Dividend

Proj Div/share

Underpricing

Flotation

Company

Price / Share

Growth rate

next year

per share

cost/share

1

$20.00

4%

$1.00

$0.50

$1.50

2

$19.00

2%

$2.10

$1.30

$1.70

3

$42.50

6%

$2.00

$1.00

$2.00

4

$50.00

8%

$2.25

$2.00

$1.00

Explanation / Answer

Cost of equity= Dividend(D)/current price(P0)+growth rate (g)

or

ke=D1/current pricice+g

Company 1 =    1/20+0.04= 9%

company 2 =           2.10/19+0.02=13%

company 3= 2/42.5+0.06=10.70%

company 4=           2.25/50+0.08= 12.5%

Retained Earning= g*return on equity

Company 1=      4*9=3.6%

company 2= 2*13= 2.6%

company 3= 6*10.7=6.42%

company 4 = 8*12.5= 10%

Cost of new common stock = D1/Current Price- Float+growth

Company 1 = 1/20-1.5+0.04=9.40%

company 2= 2.10/(19-1.7)+0.02=14.13%

company3= 2/(42.5-2)+0.06=10.93%

company 4= 2.25/(50-1)+0.08=12.59%

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