Question

Burke Tires just paid a dividend of D0 = $2.25. Analysts expect the company's dividend to grow by 30% this year, by 10% in Year 2, and at a constant rate of 5% in Year 3 and thereafter. The required return on this low-risk stock is 9.00%. What is the best estimate of the stock's current market value? Select the correct answer. a. $79.52 b. $78.00 c. $76.48 d. $77.24 e. $78.76

Answer 1

c. $76.48

Step-by-step explanation:

The value of the stock is the present value of future cash flows

First, calculate each year's dividend

First year dividend = D1 = D0 x ( 1 + first year growth rate ) = $2.25 x ( 1 + 30% ) = $2.925

Second year dividend = D2 = D1 x ( 1 + Second year growth rate ) = $2.925 x ( 1 + 10% ) = $3.2175

Second year dividend = D3 = D2 x ( 1 + Second year growth rate ) = $3.2175 x ( 1 + 5% ) = $3.378375

Now calculate the present value of each year's dividend

Present value of D1 = D1 / ( 1 + required return )^1 = $2.925 / ( 1 + 9.00% )^1 = $2.6834

Present value of D2 = D2 / ( 1 + required return )^2 = $3.2175 / ( 1 + 9.00% )^2 = $2.7081

Present value of D3 = [ D3 / ( Required return - Growth rate ) ] / ( 1 + required return )^2 = [ $3.378375 / ( 9.00% - 5.00% ) ] / ( 1 + 9.00% )^2 = $71.0878

Now take the sum of the present value of all the dividends to calculate the value of stock

Value of Stock = Sum of Present value of all dividend = Present value of D1 + Present value of D2 + Present value of D3 = $2.6834 + $2.7081 + $71.0878

Value of Stock = $76.4793

Value of Stock = $76.48