Final answer:
Reynold Corporation requires $3 million of retained earnings to fund its capital projects. It can pay a dividend per share of $3.50, resulting in a payout ratio of 70% based on the residual model.
Step-by-step explanation:
To address the original question, we must apply the residual dividend model. This model determines dividend payments after setting aside the earnings needed to fund the budgeted capital expenditures.
Here's the breakdown:
- Retained Earnings Needed: Reynold Corporation will need to retain $3 million ($(13 million - $10 million) to fund its capital budget because the net income is $10 million, and they need $13 million in total.
- Dividend Per Share (DPS): If all residual earnings are paid out as dividends, Reynold's DPS would be the current net income minus retained earnings, all divided by the number of shares. So the DPS would be $3.50 (($10 million - $3 million) / 2 million shares).
- Payout Ratio: The payout ratio is calculated by dividing the dividend per share by the earnings per share (EPS). With an EPS of $5 ($10 million / 2 million shares) and a DPS of $3.50, the payout ratio would be 70% ($3.50 / $5).
The final calculation assumes no additional equity is issued and that the current shareholders expect the $3 per share dividend to continue, based on historical payouts.