Respuesta :
Answer:
option (d) $18.24
Explanation:
Data provided in the question:
Dividend paid last year = $1.2
Dividend growth rate for 3 years, g = 10%
After 3 years Dividend growth rate, g' = 4%
Required return, r = 12%
Now,
Present vale factor, PVF = [tex]\frac{1}{(1+i)^n)}[/tex]
Year Dividend PVF @12% Dividend × PVF
1 1.2(1+.10)= 1.32 0.89286 1.1786
2 1.32(1+.10)= 1.452 0.79719 1.1575
3 1.452(1+.10)= 1.5972 0.71178 1.1369
3(Terminal value) 20.7636 0.71178 14.7791
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Current share price ∑(Dividend × PVF ) ≈ $18.24
Note:
Terminal value at year 3 = [tex]\frac{D3(1+g')}{(r-g')}[/tex]
= [tex]\frac{\$1.5972(1+0.04)}{(0.12-0.04)}[/tex]
= $20.7636
Hence,
The correct answer is option (d) $18.24
