SOLUTION: 1.43=1.05(1+g)4 trying to solve for g to give me the dividend growth rate. the answer in the book is .0803 I just forgot how to do this type of algebra.

Algebra ->  Finance -> SOLUTION: 1.43=1.05(1+g)4 trying to solve for g to give me the dividend growth rate. the answer in the book is .0803 I just forgot how to do this type of algebra.       Log On


   



Question 545062: 1.43=1.05(1+g)4 trying to solve for g to give me the dividend growth rate. the answer in the book is .0803 I just forgot how to do this type of algebra.
Found 2 solutions by nerdybill, josmiceli:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
1.43=1.05(1+g)^4
1.43/1.05 = (1+g)^4
(1.43/1.05)^(1/4) = 1+g
(1.43/1.05)^(1/4) - 1 = g
0.08 = g
or
8% = g

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use logs
+1.43+=+1.05%2A%28+1+%2B+g+%29%5E4+
+log%28+1.43+%29+=+log%28+1.05+%29+%2B+4%2Alog%28+1+%2B+g+%29+
+4%2Alog%28%28+1+%2B+g+%29%29+=+log%28+1.43+%29+-+log%28+1.05+%29+
+log%28%28+1+%2B+g+%29%29+=+%28+log%28+1.43+%29+-+log%28+1.05+%29+%29+%2F+4+
I don't have a calculator right now, but you
will end up with:
+log%28%28+1+%2B+g+%29%29+=+n+ ( n is some number )
Change this to the form
+10%5En+=+1+%2B+g+
+g+=+10%5En+-+1+
Hope this helps