Answer :
Answer:
the current market value of this stock is $15.96
Explanation:
given
current earnings = $1.96 per share
growth rate = 2.2 percent
return on the stock = 13 percent
current book value = $12.70 per share
solution
first we get here return on equity that is
return on equity = [ current earning per share × ( 1 + growth ) ] ÷ book value per share ....................1
return on equity = [tex]\frac{1.96 + (1+0.022)}{12.70}[/tex]
return on equity =15.77 %
and
now we get here payout ration that is
growth rate = retention ration × ROE ....................2
put here value
2.2% = (1 - payout ratio ) × 15.77
payout ratio = 86.05 %
and
now we get here current dividend per share that is
current dividend per share = current earning per share × payout ratio ...........3
put here value
current dividend per share = 1.96 × 86.05 %
current dividend per share = $1.6865
and
now we get here current market value
current market value = [ current dividend per share × ( 1 + growth ) ] ÷ [ required return - growth rate] ....................1
current market value = [Text]\frac{1.6865 \times (1+0.022)}{0.13-0.022}[text]
current market value = [tex]\frac{1.6865 \times (1+0.022)}{0.13-0.022}[/tex]
current market value = $15.96