Answer:
$1.52
Explanation:
We know,
Current stock price, [tex]P_{0}[/tex] = [tex]\frac{D_{1}}{r_{s} - g}[/tex]
Given,
Market rate of return, [tex]r_{s}[/tex] = 9.2% = 0.092
Growth rate, g = 5.2% = 0.052
Expected dividend, [tex]D_{1}[/tex] = [tex]D_{0}[/tex] × (1 + g)
Current stock price, [tex]P_{0}[/tex] = $40
Putting the values into the above formula, we can get,
$40 = [[tex]D_{0}[/tex] × (1 + g)] ÷ [([tex]r_{s} - g[/tex])]
or, $40 = [[tex]D_{0}[/tex] × (1 + 0.052)] ÷ (0.092 - 0.052)
or, $40 = ([tex]D_{0}[/tex] × 1.052) ÷ 0.04
or, $40 = [tex]D_{0}[/tex] × 26.3
or, [tex]D_{0}[/tex] = $40 ÷ 26.3
Therefore, last dividend paid by the company, [tex]D_{0}[/tex] = $1.52