Answer:
$81.52
Explanation:
The current share price is the present value of future dividends as well as the present value of the terminal value of dividends beyond year 6 as shown thus:
Current dividend=$3.95
Year 1 dividend=$3.95*(1+5%)=$4.15
Year 2 dividend=$4.15*(1+5%)=$4.36
Year 3 dividend=$4.36*(1+5%)=$4.58
The required rate of return(discount rate) for the dividends in the FIRST 3 years above is 14%
Year 4 dividend=$4.58*(1+5%)=$4.81
Year 5 dividend=$4.81*(1+5%)=$5.05
Year 6 dividend=$5.05*(1+5%)=$5.30
The required rate of return(discount rate) for the dividends in the NEXT 3 years above is 12%
Terminal value of dividend=Year 6 dividend*(1+growth rate)/(rate of return-growth rate)
growth rate=5%
rate of return=10%(rate of return thereafter)
terminal value=$5.30*(1+5%)/(10%-5%)
terminal value=$111.30
current share price=$4.15/(1+14%)+$4.36/(1+14%)^2+$4.58/(1+14%)^3+$4.81/(1+12%)^4+$5.05/(1+12%)^5+$5.30/(1+12%)^6+$111.30/(1+10%)^6
current share price=$81.52
