In: Finance
A fast growth share has the first dividend (t=1) of $1.20. Dividends are then expected to grow at a rate of 6 percent p.a. for a further 3 years. It then will settle to a constant-growth rate of 2.6 percent. . If the required rate of return is 13 percent, what is the current price of the share? (to the nearest cent)
Show working out
D1=1.2
D2=(1.2*1.06)=1.272
D3=(1.272*1.06)=1.34832
D4=(1.34832*1.06)=1.4292192
Value after year 4=(D4*Growth rate)/(Required return-Growth rate)
=(1.4292192*1.026)/(0.13-0.026)
=14.0997971
Hence current price=Future dividend and value*Present value of discounting factor(rate%,time period)
=1.2/1.13+1.272/1.13^2+1.34832/1.13^3+1.4292192/1.13^4+14.0997971/1.13^4
=$12.52(Approx)