Bretton, Inc., just paid a dividend of $3.15 on its stock. The growth rate in dividends is expected to be a constant 5 percent per year, indefinitely. Investors require a return of 13 percent on the stock for the first three years, a rate of return of 11 percent for the next three years, and then a return of 9 percent thereafter. What is the current share price for the stock?

$74.58

Explanation:

The price of share of the Bretton Inc in the given question shall be the present value of all the dividends associated with this share in the future years.

Present value of year 1 dividend=3.31(1+13%)^-1=$2.93

(3.15*1.05)

Present value of year 2 dividend=3.48(1+13%)^-2=$2.73

(3.31*1.05)

Present value of year 3 dividend=3.65(1+13%)^-3=$2.53

(3.48*1.05)

Present value of year 4 dividend=3.83(1+11%)^-4=$2.52

(3.65*1.05)

Present value of year 5 dividend=4.02(1+11%)^-5=$2.39

(3.83*1.05)

Present value of year 6 dividend=4.22(1+11%)^-6=$2.26

(4.02*1.05)

Present value of all the cash flows after 6 year=$59.22

[4.22(1+5%)/(9%-5%)]*(1+11%)^-6

Price of share                                                         $74.58