2. Debit and Credit

Although the financial information that has so much power over our lives is ultimately recorded in the binary language of debits and credits, very few people, including many accountants, actually understand what these terms mean.

For most accounting departments in academia, it is sufficient to disregard any meaning that the inventors of double-entry bookkeeping may have intended for the concepts of debit and credit and to have their students simply memorize the position where the debits and credits are placed in the books. No regard is made for the possibility that the terms were selected by the ancients because of a true conceptual significance.

The term “debit” is derived from a Latin root that means “to owe,” while the term “credit” is from a Latin root meaning “to be owed.” As this etymology indicates, the debit of a transaction is applied to the account that receives a financial resource and a credit is applied to the account that is the source of that financial resource, the “debtor” and “creditor” respectfully.

During the time when a business is viable, the accounts that represent the resources that are available to the business, it assets, are net receivers of resources. The company has existing assets because it has received more than it has distributed – it is a net receiver and the accounts that represent what it has received typically have debit balances.

During this time of business viability, the outside world is the source of the company’s assets, either through ownership contribution, loans, sales, or some other form of internal flow of resources into the company. The accounts that represent these outside sources therefore have net credit balances, indicating that they have served as sources and, in the case of the business’s liquidation, may possibly have returned what they contributed and are owed as “creditors” or “owners.” See The Tao of Financial Information.

1. The Accounting Equation

The accounting equation, which forms the basis all of our financial reporting, contradicts the basic tenants of double-entry bookkeeping. If we follow the principles of double-entry accounting, we violate the accounting equation, and, if we follow the directions implied by the accounting equation, we violate the principles of double-entry accounting.

The accounting equation states that resources available to the business (its assets) must be equal to the claims of its financial sources (its equities). In algebraic terms, it is generally expressed as:

Assets = Liabilities + Owner’s Equity

The Assets term represents the resources available for the company to make use of, typically buildings, equipment, and other valuables. The terms on the right of the equation, the Liabilities and the Owner’s Equity terms, represent the claims of parties outside the company to the assets of the company. The Liabilities term represents the claims of creditors upon the company’s assets and the Owner’s Equity term, as its name implies, represents the claims of the owners to the assets that remain after the creditors have been satisfied. For simplicity of expression, we will combine these two terms, referring to them as the “External Claims” or, more simply, “Externals.” This leaves the accounting equation as this simple expression:

Assets = Externals

However, for the purpose of this paper, this expression is preferred because of its simplicity and the fact that the distinction between different types of external claims does not change the underlying problem with the equation itself.

The importance of this accounting equation cannot be overstated. The balance found between the two sides of the equal sign forms the foundation of the balance sheet financial statement. Furthermore, the other traditional financial statements are also derivations of this critical mathematical expression.

Despite its critical importance to the financial world, the accounting equation is invalid and this invalidity can be illustrated by a simple example of an investment made by an owner of a business. In this example, the owner of the business invests $100.00 in cash to his business. His accountant keeps track of the transaction by making an entry in his journal. Following the rules of double-entry accounting, the journal reflects the following changes to the financial state of the company:

• The Cash account is debited $100.00, and
• The Owner's Equity account is credited $100.00.

Together, these changes assure us that the balance of all of the accounts in the business are equal to zero – a debit made to the Cash account is balanced by a credit to the Owner's Equity account. Double-entry accounting assures us that the books remain in balance because every debit made to one account is countered by a credit made to some other account -- subtracting all of the credits from the debits leaves a total balance of zero. This pure balance of zero maintained on the accounting books reflects the grace and credibility of double-entry bookkeeping.

However, the accounting equation contradicts this. According to the equation, the transaction in our example should have reflected the following changes to the financial state of the company:

• The Cash account is debited $100.00, and
• The Owner's Equity account is debited $100.00.

According to the accounting equation, both accounts must be debited to properly record the owner's investment in his business and here is why:

• Again, the accounting equation states the following:

Assets = Externals

• According to the rules of algebra, the equality of the equation remains valid after I have added new terms to the equation as long as I add the same terms to each side of the equation. "When thinking about equations, consider an old-fashioned balance scale. To keep the scale balanced, whatever you do to one side must be done to the other. If you add 2 pounds to one side, you must add 2 pounds to the other." [Brita Immergut and Jean Burr Smith, Arithmetic and Algebra ... Again (New York: McGraw-Hill, 1994) p. 198] Applying this mathematical principle to the accounting equation, I can do the following:

Assets + 1 = Externals + 1

• More to the point, I can, following the rules of algebra, do the following:

Assets + Debit = Externals + Debit

• However, what I cannot do is the following:

Assets + Debit = Externals + Credit

This last expression cannot be done using the rules of algebra. We can change an equation by doing equal things to both side of the equal sign, but we cannot do unequal things to both sides of an equal sign and maintain the state of equality. But this last expression is exactly what is done in double-entry accounting, leaving us with only one of two possible conclusions, either:

1. the accounting equation is a correct application of algebra and we must abandon double-entry accounting, or
2. there is something wrong with the accounting equation and double-entry accounting remains unchallenged and as credible as ever.

We can relax in the comfort of knowing that the problem is not with double-entry accounting -- the contradiction found between it and the equation can be resolved by recognizing that it is the equation that is wrong. The expression:

Assets = Externals

appears correct only because it is comparing the quantities of the Assets and Externals and ignoring the fact that they are opposing qualities -- the Assets are normally debit in nature while the Externals are normally credit in nature. By disregarding the opposing natures on each side of the equation, accountants have assumed equality where equality has never existed.

If Assets are not equal to Externals because they are in opposing directions (debits vs. credits), what is the correct form of the accounting equation? Since debits and credits are opposite in direction from each other and cancel each other out in accounting's use of arithmetic, the proper form of the accounting equation is as follows:

Assets + Externals = 0

This expression states correctly that the two terms are equal in magnitude but opposite in direction. They cancel each other out and leave the books in the state of perfect balance at zero.

Furthermore, when we perform the double-entry bookkeeping of our example, we make the following algebraic manipulation:

Assets + Externals + (Debit + Credit) = 0 + (Debit + Credit)

which again means that, after we cancel out the effects of our debit and credit additions, we are left stating that Assets and Externals remain equal in magnitude but opposite in direction:

Assets + Externals = 0

This form of the accounting equation is correct algebraically and it supports the double-entry accounting process, assuring us that, regardless of the type of commercial transaction we record, the amount of resources available to a business is equal in magnitude to the claims upon its financial sources. The financial world remains secure in knowing that a properly maintained accounting system will always have a perfect balance – the sum of all of its accounts will always equal zero. See The Tao of Financial Information.