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Laverne Industries stock has a beta of 1.33. The company just paid a dividend of

ID: 2750437 • Letter: L

Question

Laverne Industries stock has a beta of 1.33. The company just paid a dividend of $.83, and the dividends are expected to grow at 5.3 percent. The expected return of the market is 11.8 percent, and Treasury bills are yielding 5.3 percent. The most recent stock price is $83.00.

Calculate the cost of equity using the dividend growth model method. (Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places (e.g., 32.16).)

Calculate the cost of equity using the SML method

Required: (a)

Calculate the cost of equity using the dividend growth model method. (Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places (e.g., 32.16).)

Explanation / Answer

Cost of equity usig dividend growth model

P0 = D1/Ke-G

   83 = 0.83(1.053)/Ke-0.053

   83(Ke - 0.053) = 0.87399

83Ke- 4.399= 0.87399

83Ke = 0.87399+4.399

Ke = 5.273/83 i.e 6.35%

Cost of equity using sml method

= Risk free return + Beta * Market risk premium

=5.3%+ 1.33( 11.8-5.3)

= 5.3+8.645 i.e 13.945%