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The Mobil Appliance Company’s earnings, dividends, and stock price are expected

ID: 2716074 • Letter: T

Question

The Mobil Appliance Company’s earnings, dividends, and stock price are expected to grow at an
annual rate of 12%. Mobil’s common stock is currently traded at $18 per share. Mobil’s last cash div-
idend was $1.00, and its expected cash dividend for the end of this year is $1.12. Suppose that Mobil
wants to raise capital to finance a new project by issuing new common stock. With the new project, the
cash dividend is expected to be $1.10 at the end of the current year, and its growth rate is 10%. The
stock now sells for $18, but new common stock can be sold to net Mobil $15 per share.

What is Mobil’s cost of new common stock (ke)? Please show your work.

Explanation / Answer

Growth rate is 12%

Current price is 18$

Divedent this year is 1.12$

Now for new issue we have.

Divedend at end of 1st year is 1.1$

Growth rate 10%

New stock price is 15$

As per divedend discount model ee have D1/(ke - growth)

So ee have 15 = 1.1/(ke - 0.1)

Ke is 17.33% for new equity shares.