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The following information is given: The market risk premium is 07%

Finance May 21, 2021

The following information is given: The market risk premium is 07%. The beta of Alkan stock has been estimated at 1.35.  It expects to pay a dividend of $2.80 next year. The current price of the stock is $84. the expected price next year is $98What should be the risk-free rate today for you to recommend purchasing the stock?

Expert Solution

Computation of Required Rate of Return on Stock:

Required Rate of Return = (Expected Price Next Year+Expected Dividend Next Year)/Current Stock Price - 1

= ($2.80+$98)/$84 - 1

= $100.80/$84 - 1

= 1.20 - 1

Required Rate of Return = 0.20 or 20%

 

Now we calculate Risk-free Rate:

Required Rate of Return (using CAPM) = Risk-free Rate + Beta*Market Risk Premium

 20% = Risk-free Rate + 1.35*7% 

20% = Risk-free Rate + 9.45%

Risk-free Rate = 20% - 9.45% = 10.55%

 

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