91Ó°ÊÓ

Hector Lopez is the owner and operator of Centillion, a motivational consulting business. At the end of its accounting period, December 31,2007 , Centillion has assets of \(\$ 950,000\) and liabilities of \(\$ 300,000\). Using the accounting equation and considering each case independently, determine the following amounts: a. Hector Lopez, capital, as of December \(31,2007 .\) b. Hector Lopez, capital, as of December 31,2008 , assuming that assets increased by \(\$ 150,000\) and liabilities increased by \(\$ 90,000\) during 2008 . c. Hector Lopez, capital, as of December 31,2008 , assuming that assets decreased by \(\$ 75,000\) and liabilities increased by \(\$ 27,000\) during 2008 . d. Hector Lopez, capital, as of December 31,2008 , assuming that assets increased by \(\$ 125,000\) and liabilities decreased by \(\$ 48,000\) during 2008 . e. Net income (or net loss) during 2008, assuming that as of December 31,2008 , assets were \(\$ 1,200,000\), liabilities were \(\$ 195,000\), and there were no additional investments or withdrawals.

Step by step solution

01

Use the Accounting Equation for 2007

The accounting equation is given by Assets = Liabilities + Owner's Equity. For December 31, 2007, we have Assets = \(950,000 and Liabilities = \)300,000. Let Owner's Equity = Hector Lopez's capital, which we denote as C.Thus, according to the accounting equation: \[ 950,000 = 300,000 + C \]Solving for C, we get:\[ C = 950,000 - 300,000 = 650,000 \]So, Hector Lopez's capital as of December 31, 2007, is $650,000.

02

Calculate Capital for 2008 with Increased Assets and Liabilities

For December 31, 2008, if assets increased by \(150,000 and liabilities increased by \)90,000, we first calculate the new amounts:- New Assets = \( 950,000 + 150,000 = 1,100,000 \)- New Liabilities = \( 300,000 + 90,000 = 390,000 \)Using the accounting equation again:\[ 1,100,000 = 390,000 + C \]Solving for C:\[ C = 1,100,000 - 390,000 = 710,000 \]Hector Lopez's capital as of December 31, 2008, is $710,000.

03

Calculate Capital for 2008 with Decreased Assets and Increased Liabilities

For December 31, 2008, if assets decreased by \(75,000 and liabilities increased by \)27,000, we calculate as follows:- New Assets = \( 950,000 - 75,000 = 875,000 \)- New Liabilities = \( 300,000 + 27,000 = 327,000 \)Using the accounting equation:\[ 875,000 = 327,000 + C \]Solving for C:\[ C = 875,000 - 327,000 = 548,000 \]Hector Lopez's capital as of December 31, 2008, is $548,000.

04

Calculate Capital for 2008 with Increased Assets and Decreased Liabilities

For December 31, 2008, if assets increased by \(125,000 and liabilities decreased by \)48,000, the calculations are:- New Assets = \( 950,000 + 125,000 = 1,075,000 \)- New Liabilities = \( 300,000 - 48,000 = 252,000 \)Using the accounting equation:\[ 1,075,000 = 252,000 + C \]Solving for C:\[ C = 1,075,000 - 252,000 = 823,000 \]Hector Lopez's capital as of December 31, 2008, is $823,000.

05

Determine Net Income or Loss for 2008

Given that as of December 31, 2008, assets are \(1,200,000 and liabilities are \)195,000, using the accounting equation:\[ 1,200,000 = 195,000 + C \]Solving for C:\[ C = 1,200,000 - 195,000 = 1,005,000 \]The capital at the end of 2007 was $650,000. With no investments or withdrawals, the change in capital indicates net income or loss. Thus:\[ \text{Net Income} = 1,005,000 - 650,000 = 355,000 \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Owner's Equity

Owner's equity, in simple terms, refers to the ownership interest in a company. It represents the amount of money that the owner of a business, such as Hector Lopez in our exercise, has invested and retained in the business. This is crucial because it answers the question: what portion of the company's assets does the owner actually own after accounting for debts?

How Owner's Equity is Calculated
The fundamental way to calculate owner's equity is by using the accounting equation: \[ \text{Assets} = \text{Liabilities} + \text{Owner's Equity} \]. By rearranging this formula, you can find the owner's equity using:

• Owner's Equity = Assets - Liabilities

This equation reveals that owner's equity is the leftover amount after settling all financial obligations (i.e., liabilities). In the exercise, we see how changes in assets and liabilities modify Hector's capital or owner's equity.

Assets and Liabilities

Assets and liabilities are the building blocks of any financial statement. They give a detailed overview of what a company owns and what it owes, which helps in understanding its financial health.

Understanding Assets
Assets are resources owned by the business that are expected to provide future economic benefits. These could include cash, equipment, real estate, etc. In our case, Centillion consultants started with total assets of $950,000 in 2007.

Understanding Liabilities
Liabilities, on the other hand, are obligations that the company needs to settle in the future. These include loans, accounts payable, etc. As of December 31, 2007, Centillion had liabilities totaling $300,000.

• When assets increase and liabilities remain the same or decrease, owner's equity increases.
• Conversely, if liabilities increase and assets stay unchanged or decrease, owner's equity decreases.

The changes in these elements indicate how the business is performing financially over time.

Net Income Calculation

Net income is a reflection of a business's profitability over a certain period. It indicates the difference between revenue and expenses; essentially showing how much the company earns after all costs are considered.

How Do We Calculate Net Income?
For the purpose of the exercise, net income can be inferred by understanding how the owner's equity has changed over the period, assuming there were no other investments or withdrawals. Here's how you do it:

• First, calculate the owner's equity at the end of the year.
• Subtract the owner's equity at the beginning of the year from the end-of-year amount.

This change in equity represents the net income or loss. In Hector Lopez's scenario, the net income for 2008 was $355,000, signifying a healthy profit after accounting for operations and obligations throughout the year. This calculation offers insightful knowledge into the business's operational profitability, offering a clear picture to the business owner.