# Stock Valuation with Constant Growth Rate

• Mar 14th 2010, 01:35 PM
CaesarXXIV
Stock Valuation with Constant Growth Rate
Hi,

This is my first time posting on this forum. If a company pays a quarterly dividend of \$0.75, with a dividend growth rate of 6% per year (indefinitely), and with a required rate of return of 14%, what is the price of the stock?

I know I have to use the formula which states: Po=Do(1+g)/(r-g), where g=dividend growth rate, and r=required rate of return. Except I have to calculate the equivalent annual dividend of the 4 quarterly dividends.

I calculated that using:

Deq=0.75 [(1+0.14/4)^3+(1+0.14/4)^2+(1+0.14/4)+1)

And then I plugged Deq as Do. I used 6% as g and 14% as r. I got \$41.89 as the answer, but the textbook has \$41.78 as the answer.

Where did I go wrong? (Headbang)
• Mar 14th 2010, 02:41 PM
jass10816
Your error is here:

Quote:

Originally Posted by CaesarXXIV

Deq=0.75 [(1+0.14/4)^3+(1+0.14/4)^2+(1+0.14/4)+1)

You should not be using .14/4 as your rate. You need to find the equivalent quarterly rate that yields an annual rate of 14%:

\$\displaystyle (1+.14)=(1+r)^4\$

Thus the rate you should use in your Deq equation is r=.033299484759