Final answer:
The balance in retained earnings at the end of the year is $10,500.
Step-by-step explanation:
In order to calculate the balance in retained earnings, we need to consider the different transactions that occurred during the year:
- The issuance of 1,000 shares of $2 par value stock for $12 per share results in a total increase in retained earnings of $10,000 ($12 per share - $2 par value per share) x 1,000 shares.
- The repurchase of 100 shares of stock at $10 per share does not impact the retained earnings as the shares are being retired.
- The payment of dividends of $1 per share results in a decrease in retained earnings of $1,000 ($1 per share x 1,000 shares).
- The net income of $1,500 increases the retained earnings by $1,500.
Therefore, the balance in retained earnings at the end of the year is $10,500 ($10,000 + $1,500 - $1,000).