Fernwell wants to buy shares of Silver Education Company in two years. Golden Finance uses a constant growth dividend discount model with a presumed dividend growth rate of 5%. If Golden Finance's discount rate is 10% and Silver Education's current year dividend is $20, what is the approximate price Golden Finance will pay?
a.$463
b.$441
c.$420
d.$400
Answer:A
Choice "A" is correct. Golden Finance will pay approximately $463, computed as follows:
Step #1, Compute dividend in subsequent year:
Step #2, Apply growth rate to computed dividend:
Terms are defined as:
Pt.
D(t+1).
R.
G.
Choice "d" is incorrect. $400 presumes a zero growth model.
Choice "c" is incorrect. $420 presumes only one year of growth, not two.
Choice "b" is incorrect. $441 does not properly account for growth. Specifically, it does not properly include the compounding in the year following the first two years of compounding.