The present value of the growth opportunity is $22.92
Growth =ROE × Retention ratio
= 20% × 25%
= 5%
Value of the growth = (Eps × Dividend payout ratio) / (Cost of equity - Growth)
= (3 ×75%) / ( 9% - 5%)
= 2.25/ ( 9% - 5%)
= 56.25
Value of growth = Dividend / Cost of equity
= 3 / 9%
= 33.33
Present value of growth opportunities = $ 56.25 - $ 33.33
= $22.92
Hence, the present value of the growth opportunity is $22.92.
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