Problem 10 - Accounting

Question

As of January 1, Seth Fite, Capital, had a credit balance of \(\$ 10,500\). During the year, withdrawals totaled \(\$ 4,000\) and the business incurred a net loss of \(\$ 8,000\). a. Calculate the balance of Seth Fite, Capital, as of the end of the year. b. Assuming that there have been no recording errors, will the balance sheet prepared at December 31 balance? Explain.

Step-by-Step Solution

Answer

a. The ending capital balance is \(-\$1,500\). b. Yes, the balance sheet will still balance if all transactions are recorded correctly.

Step 1: Understand the Components

To find the ending capital balance, understand that the initial capital balance is adjusted by any withdrawals and the net gain or loss for the year. Here, Seth's initial capital is \(\\(10,500\), withdrawals are \(\\)4,000\), and net loss is \(\$8,000\).

Step 2: Apply the Withdrawal Effect

Subtract the withdrawals from the initial capital balance. The formula is: \[ \text{Capital After Withdrawals} = \text{Initial Capital} - \text{Withdrawals} = \\(10,500 - \\)4,000.\]This results in a capital after withdrawals of \(\$6,500\).

Step 3: Reflect the Net Loss

Subtract the net loss from the capital after withdrawals, using the formula: \[ \text{Ending Capital} = \text{Capital After Withdrawals} - \text{Net Loss} = \\(6,500 - \\)8,000.\]This results in an ending capital balance of \(-\$1,500\).

Step 4: Consider the Balance Sheet Balancing

Normally, a balance sheet balances because the accounting equation \(\text{Assets} = \text{Liabilities} + \text{Capital}\) holds true. Any changes in capital due to withdrawals or losses are already reflected in the totals, indicating assets would adjust to still balance with liabilities plus capital. Therefore, despite a negative capital, the balance sheet can still balance if all other accounts are accurately reported.

Key Concepts

Balance Sheet

The balance sheet is a crucial financial statement that provides a snapshot of a company's financial position at a specific point in time. It outlines the company's assets, liabilities, and equity, following the fundamental accounting equation:

• Assets = Liabilities + Capital (also known as Owner's Equity)

A balance sheet helps business owners and investors understand the company's financial health. Assets are what the company owns, while liabilities are what the company owes. The difference between these two is the owner's equity or capital.
In our example, the balance sheet will account for the initial capital of Seth Fite, withdrawals during the year, and any gains or losses such as the net loss of $8,000. Despite showing a negative ending capital balance, the balance sheet as of December 31 should still be able to balance if all other entries are complete and accurate. The change in Seth Fite's capital reflects a real-time adjustment, ensuring that assets align with the sum of liabilities and equity.

Net Loss

A net loss occurs when a company's total expenses surpass its total revenues during a specific period. This negatively impacts the owner's capital, as seen in our scenario. Seth Fite's business faced a net loss of $8,000, which directly reduced the capital available at the year's end.
Net loss is an indicator of poor financial performance, which can be caused by various factors such as increased operational costs, declining sales, or unexpected expenses. Businesses must analyze the reasons behind a net loss to make informed decisions and implement strategies to return to profitability.
In the context of Seth Fite's capital account, any net loss will be subtracted from the capital after adjusting for withdrawals. This is because the capital account in financial records represents the owner's stake in the company after considering all earnings and losses.

Account Withdrawals

Account withdrawals refer to the removal of funds from a business by the owner for personal use. In accounting, such withdrawals typically decrease the owner's equity in the company.

• Withdrawals do not affect the profit or loss of the business directly but reduce the available capital or net worth.

In Seth Fite's situation, withdrawals amounted to $4,000. This deduction is crucial because it directly impacts the calculations for the ending capital balance. After deducting withdrawals, we get a new, reduced capital balance which then serves as the base from which any net loss is subtracted.
It's important to manage withdrawals carefully to ensure that the business retains sufficient capital to support operations and investments. Maintaining a healthy balance between withdrawals and business needs is vital for the sustainability of the business.