Teaching (and learning) accounting involves starting with simple transactions and gradually layering in complexity. The idea is to use simple transactions to:
- Introduce basic concepts, such as assets, liabilities and net income;
- Build a set of tools, such as debit/credit, closing and balancing practices, that are used in addressing more complicated situations; and,
- Alert the student to the restrictions of the tools, e.g. balance sheets must balance so equity is really determined by our valuations of assets and liabilities. I.e., equity is not an independently defined concept.
- Acquaint the student with the level of care required for good quantitative analysis.
Getting this job done is challenging enough, but even more so when we recognize that our trip through simple items should not invite students to make errors in thinking that will inhibit their ability to address the more complex problems they will encounter later. Almost anyone with experience teaching the indirect method for cash flow from operations has encountered this problem: many (most? almost all?) students believe at some point that the amounts relating to the changes in balance sheet accounts are simply the ending balances minus the beginning balances for all the working capital accounts.
After decades of teaching the indirect method to undergraduate, graduate, MBA, law and executive students, we have found a way to teach it that lets the student build up their knowledge in a systematic way without misleading them. Our methods rely on students being introduced to the basics of the balance sheet, the income statement, journal entries, ledgers (T-accounts), adjusting and closing entries. The primary tool we use is the cash flow worksheet.
Accrual accounting v cash flows – Total Toy
After introducing the income statement and balance sheet, we go through a simple example designed to illustrate the relationship between net income and cash flow from operations. The trick to this is to include just enough complexity to make things interesting. If students have had an introductory economics class, the example can be used to emphasize the usefulness of accrual accounting. If they have also had an introductory course in finance, the example can be used to introduce valuation of businesses using discounted cash flow techniques. And if you want to push really far, you can use it to address the relationship between the economists’ approach (value) and the finance approach (cash flows). So let’s get going.
Consider the operations of a hypothetical company – Total Toy. Total Toy is a retailer that can sell a total of 14,400 dolls for $30 each.[1] It buys dolls from its supplier for $24 each.[2] It is a magical enterprise that can do this without paying any landlords or workers – Cost of Goods Sold is the only expense.
Consider how this “value generating engine” would be portrayed in an economics class, where the focus would be on whether Total Toy creates value, and if so, how it can maximize the value created. The basic idea would be to define revenue and cost as functions of “volume” and see whether profits are positive for any volume and at what volume they are maximized.
Executing this strategy is extremely simple for Total Toy. Total revenues would be equal to $30 times the number of dolls sold. Total costs would be $24 times the number of dolls sold. Here’s a picture:
It is worth going into great detail about the construction of this graph. The idea of the graph is to depict the value-generating possibilities of Total Toy. (An immediate issue is the length of the time period over which these value-generating activities are taking place. More on this later.)
The y-axis is labeled $, but what exactly is meant? Economists would want the y-axis to reflect the dollar amount of the value produced. Whether this value is manifested in cash, or the right to collect cash (i.e., receivables), is of no concern.
The x-axis is labeled # of dolls. What exactly do we mean by this? In the case of Total Toy, there are three possibilities: the number of dolls purchased, the number sold or the number held in inventory. Of these three possibilities, the number of dolls sold is the most directly related to the process of value creation. Once we designate a time period, we choose the point along the x-axis corresponding to the number of dolls sold that period. We then look vertically up from there to the total revenue function, which gives us the value received by Total Toy for the number of dolls sold that period. In accounting language, we have just applied the process of revenue recognition.
Continuing to use accounting terminology, to complete the assessment of profit, we now need to match expenses to the revenue recognized. In terms of the graph, proper matching consists of choosing the point on the x-axis corresponding to the number of dolls sold, looking vertically up to the total cost function and then reading the costs off the y-axis.
The final step is to calculate the dollar amount of the net value generated. In the figure below, $ Profit is the dollar value of the net value created in the period and is the difference between the dollar amount of revenue recognized and the dollar value of costs matched against that revenue.
These figures provide a compelling picture of Total Toy’s opportunities to generate value in a period. Note that there is an implicit distinction between Total Toy and other entities in the society. Sales must be to entities other than Total Toy (i.e., a customer), and the revenue recognized by a sale is the dollar amount agreed to by both Total Toy and each of its customers. Similarly, expenses match against these revenues are linked to the dollar value of transactions in which Total Toy was the customer and other entities were suppliers. Therefore, these figures provide a model of the interactions of Total Toy with two other sets of actors: customers and suppliers. Like any model, a great many details are suppressed. In particular, the mechanics of the transactions between Total Toy, its customers and its suppliers are left out. We will fill in some of these details later, but first, it is worth considering one more “big” question.
Value of Total Toy
Now let’s think about the value of the enterprise, Total Toy. The value of Total Toy is a rather abstract thing. It is the value of the opportunity to generate value by operating Total Toy over time. To assess that, we turn to the techniques of modern finance.
The first thing we should notice when we find the relevant chapters in our finance test is that the value of Total Toy is viewed as being determined by the properties of the stream of cash flows it generates for its owners. Three properties of this cash flow stream are important: their amounts, their timing, and their riskiness. For our current purposes, we can suppress issues of risk and focus on amounts and timing. In particular, let’s adopt the straightforward view that the value of Total Toy is the present value of the cash flows it could generate to its owners.
It is important to observe that the figures presented so far do not directly address Total Toy’s cash flows. They address value flows. To get at cash flows, we must fill in some details as to how Total Toy operates; i.e., how more precisely Total Toy’s value generation opportunities are exploited. A natural place to start is to flesh out the transactions between Total Toy, its customers and its suppliers.
Operating Total Toy – Transactions’ Details
To keep things as simple as possible, suppose operating Total Toy consists of a few simple steps. First, dolls are purchased from a supplier. This is a cash purchase, as the supplier never lets its customers buy on account.
Second, dolls are placed in Total Toy’s inventory, where they sit for one month before being sold. All sales to customers are on account, with payment received in cash one month after the sale.
Third, cash is collected from customers one month after their purchase.
Operating Total Toy – Retail Doll Market
Demand for Total Toy’s dolls lasts for one year and will evolve over three phases: growth, steady state, and decline. In the growth phase, demand starts at 0 and grows by 600 dolls per month until it reaches 1,800, where it remains for 6 months. This period of constant demand is the steady state. After 6 months of this steady state, demand declines by 600 per month until it reaches 0.
Table 1 Total Toy Demand for Dolls |
||
Month | Demand for dolls | Phase |
January | 0 | Growth |
February |
600 |
|
March |
1,200 |
|
April |
1,800 |
Steady State |
May |
1,800 |
|
June |
1,800 |
|
July |
1,800 |
|
August |
1,800 |
|
September |
1,800 |
|
October |
1,200 |
Decline |
November |
600 |
|
December |
0 |
|
Total |
14,400 |
Operating Total Toy – Wholesale Market
Of course, Total Toy must acquire the dolls it sells to customers and must hold them in inventory for one month. There is no advantage to stocking excess inventory, therefore Total Toy’s purchases from its supplier would be:
Table 2 Total Toy Purchases of Dolls |
||
Month | Dolls Purchased | Phase |
January | 600 | Growth |
February | 1,200 | |
March | 1,800 | |
April | 1,800 | Steady State |
May | 1,800 | |
June | 1,800 | |
July | 1,800 | |
August | 1,800 | |
September | 1,200 | |
October | 600 | Decline |
November | 0 | |
December | 0 | |
Total | 14,400 |
Operating Total Toy – Results of its entire existence
Over its life, Total Toy will sell 14,400 dolls. That will generate revenues of $432,000 and involve costs of $345,600. So the total profit generated will be $86,400. In terms of our picture:
In this picture, a period is defined as one year, and that suppresses an important fact if you actually want to run Total Toy – the dynamics of its cash flows.
Operating Total Toy – Cash Flows
We need to delve further into how the sales and purchases transaction work if we are to understand how cash flows in and out of Total Toy, and here is where things get interesting. The supplier demands cash immediately for any dolls purchased. The customers, however, only buy on account. Further, customers pay their bills one month after they buy the dolls. The following table gives Total Toy’s cash receipts and disbursements for each month of its life:
Table 3 Total Toy Cash Receipts and Disbursements |
|||
Month |
Cash Received |
Cash Disbursed |
Phase |
January |
- |
$14,400 |
Growth |
February |
- |
$28,800 |
|
March |
$18,000 |
$43,200 |
|
April |
$36,000 |
$43,200 |
Steady State |
May |
$54,000 |
$43,200 |
|
June |
$54,000 |
$43,200 |
|
July |
$54,000 |
$43,200 |
|
August |
$54,000 |
$43,200 |
|
September |
$54,000 |
$28,800 |
|
October |
$54,000 |
$14,400 |
Decline |
November |
$36,000 |
- |
|
December |
$18,000 |
- |
|
Total |
$432,000 |
$345,600 |
Even a quick glance at this table is revealing. In January, Total Toy must lay out $14,400 in cash, but receives nothing. It’s worse in February: $28,800 out and nothing in. March is a little better: $43,200 out and $18,000 in, and April is better still: $43,200 out and $36,000 in. Finally, in May the cash inflow exceeds the outflow: $43,200 out, and $54,000 in. In all the remaining months, cash collected exceeds cash spent.
So just looking at the cash flow figures, it is clear that, to actually run Total Toy, someone must provide some cash up front to get the business going until it reaches a stage where it can generate enough cash to cover the amount it has to spend. In the long run, Total Toy’s operations will generate $86,400 more in cash than consumes, but this analysis only holds in the long run. The problem is what you need to do in the short run in order to get there. This is where a bit of business planning is required.
Let’s start by seeing how big a cash deficit would be generated if we had no financing up front. Here’s the table:
Table 4 Total Toy Cash Receipts, Disbursements, Net Cash Flows and Cash Balances |
|||||
Month |
Cash Received |
Cash Disbursed |
Monthly Cash Flow |
Total Cash at Month End |
Phase |
January |
- |
$14,400 |
$(14,400) |
$(14,400) |
Growth |
February |
- |
$28,800 |
$(28,800) |
$(43,200) |
|
March |
$18,000 |
$43,200 |
$(25,200) |
$(68,400) |
|
April |
$36,000 |
$43,200 |
$(7,200) |
$(75,600) |
Steady State |
May |
$54,000 |
$43,200 |
$10,800 |
$(64,800) |
|
June |
$54,000 |
$43,200 |
$10,800 |
$(54,000) |
|
July |
$54,000 |
$43,200 |
$10,800 |
$(43,200) |
|
August |
$54,000 |
$43,200 |
$10,800 |
$(32,400) |
|
September |
$54,000 |
$28,800 |
$25,200 |
$(7,200) |
|
October |
$54,000 |
$14,400 |
$39,600 |
$32,400 |
Decline |
November |
$36,000 |
- |
$36,000 |
$68,400 |
|
December |
$18,000 |
- |
$18,000 |
$86,400 |
|
Total |
$432,000 |
$345,600 |
$86,400 |
Inspecting the column “Total Cash at Month End,” we see that the cash deficit hits its worst level in April, when Total Toy’ cumulative deficit hits $75,600.
Financing Total Toy
Just as Total Toy requires customers to buy its dolls and suppliers to provide them, to actually operate the company it needs to find a supplier of cash. When we think about customers, we think about the retail market. When we think about suppliers, we think about the wholesale market. Now we need to think about a financial market where there are suppliers of cash. And just like we had to get specific about how transactions with suppliers and customers work, we now need to get specific about how transactions with cash providers work.
For simplicity, we suppose that all cash must be raised at the beginning of January, and all distributions of cash will be occur at the end of December. Because Total Toy is a profitable company over its life, there will be $86,400 more cash at the end of December than is raised from financiers. That’s good because financiers that provide cash will want a return on their investment. As long as the total return required does not exceed $86,400, financing Total Toy is at least feasible.
Roughly speaking, we think about providers of cash as being one of two types: creditors and equity holders. Creditors provide cash up front in exchange for the right to receive specified payments of cash later. Equity holders provide cash up front in exchange for a share of the cash ultimately distributed.
Suppose the person that identifies the opportunity presented by Total Toy has the means and willingness to provide cash out of his own pocket. There is a bit of subtlety here – we have been thinking about Total Toy as an entity in and of itself. That is, we distinguish Total Toy from its owners, just as we do from its customers and suppliers. At any rate, suppose the owner puts $90,000 of his own cash into the business, Total Toy. Just like its customers and suppliers, Total Toy’s owner will expect some benefit from supplying Total Toy with this $90,000. The customer benefits through the enjoyment of the doll. The supplier benefits through the profits made by selling to Total Toy. What benefit would the owner require?
There are many joys and challenges of owning a business, but the financial return is often the primary benefit of ownership. We will focus, therefore, on the fact that the owner will be able to take $86,400 more out of Total Toy than the $90,000 he put into it. Here’s a table of the relevant numbers:
Table 5 Total Toy Cash Receipts, Disbursements, Net Cash Flows and Cash Balances with Owner’s Contribution |
||||||
Month |
Cash Received from or Paid to the Owner |
Cash Received from Customers |
Cash Disbursed to Supplier |
Monthly Cash Flow |
Total Cash at Month End |
Phase |
January |
$90,000 |
- |
$14,400 |
$75,600 |
$75,600 |
Growth |
February |
- |
$28,800 |
$(28,800) |
$46,800 |
||
March |
$18,000 |
$43,200 |
$(25,200) |
$21,600 |
||
April |
$36,000 |
$43,200 |
$(7,200) |
$14,400 |
Steady State |
|
May |
$54,000 |
$43,200 |
$10,800 |
$25,200 |
||
June |
$54,000 |
$43,200 |
$10,800 |
$36,000 |
||
July |
$54,000 |
$43,200 |
$10,800 |
$46,800 |
||
August |
$54,000 |
$43,200 |
$10,800 |
$57,600 |
||
September |
$54,000 |
$28,800 |
$25,200 |
$82,800 |
||
October |
$54,000 |
$14,400 |
$39,600 |
$122,400 |
Decline |
|
November |
$36,000 |
- |
$36,000 |
$158,400 |
||
December |
$(176,400) |
$18,000 |
- |
$(158,400) |
$- |
|
Total |
$(86,400) |
$432,000 |
$345,600 |
Before we leave the economics, let’s think about the owner’s return for his investment in Total Toy. An investment of $90,000 at the beginning of January gets the owner $176,400 at the end of December. The owner’s rate of return is:
(1+r)*$90,000 = $176,400 → r = 96%.
As long as the owner’s other investment opportunities would return less than 96% on a $90,000 investment, he will find investing this amount in Total Toy is an attractive opportunity.
Financial Statements
Having presented all the details of Total Toy’s one year life, we now show three sets of monthly financial statements: balance sheets, income statements and statements of cash flows.
The balance sheets are:
Table 6 Total Toy Balance Sheets |
|||||
Month End |
Cash |
Accounts Receivable |
Inventory |
Equity |
Phase |
January |
$75,600 |
$- |
$14,400 |
$90,000 |
Growth |
February |
$46,800 |
$18,000 |
$28,800 |
$93,600 |
|
March |
$21,600 |
$36,000 |
$43,200 |
$100,800 |
|
April |
$14,400 |
$54,000 |
$43,200 |
$111,600 |
Steady State |
May |
$25,200 |
$54,000 |
$43,200 |
$122,400 |
|
June |
$36,000 |
$54,000 |
$43,200 |
$133,200 |
|
July |
$46,800 |
$54,000 |
$43,200 |
$144,000 |
|
August |
$57,600 |
$54,000 |
$43,200 |
$154,800 |
|
September |
$82,800 |
$54,000 |
$28,800 |
$165,600 |
|
October |
$122,400 |
$36,000 |
$14,400 |
$172,800 |
Decline |
November |
$158,400 |
$18,000 |
$- |
$176,400 |
|
December |
$- |
$- |
$- |
$- |
The income statements are:
Table 7 Total Toy Income Statements |
||||
Month |
Revenue |
Cost of Goods Sold |
Net Income |
Phase |
January |
$- |
$- |
$- |
Growth |
February |
$18,000 |
$14,400 |
$3,600 |
|
March |
$36,000 |
$28,800 |
$7,200 |
|
April |
$54,000 |
$43,200 |
$10,800 |
Steady State |
May |
$54,000 |
$43,200 |
$10,800 |
|
June |
$54,000 |
$43,200 |
$10,800 |
|
July |
$54,000 |
$43,200 |
$10,800 |
|
August |
$54,000 |
$43,200 |
$10,800 |
|
September |
$54,000 |
$43,200 |
$10,800 |
|
October |
$36,000 |
$28,800 |
$7,200 |
Decline |
November |
$18,000 |
$14,400 |
$3,600 |
|
December |
$- |
$- |
$- |
|
Total |
$432,000 |
$345,600 |
$86,400 |
We should think a little before we do a cash flow statement. We want that statement to reveal more than the change in cash because anyone can get that by subtracting the beginning cash balance from the ending cash balance. We want the cash flow statement to reveal something about the flow of cash, but what? Let’s begin to address that question by comparing the cash flows to the other flow we have, net income. Here’s the table:
Table 8 Total Toy Comparisons of Net Incomes and Cash Flows |
||||
Month |
Net Income |
Total Cash Flow |
Difference |
Phase |
January |
$- |
$75,600 |
$75,600 |
Growth |
February |
$3,600 |
$(28,800) |
$32,400 |
|
March |
$7,200 |
$(25,200) |
$32,400 |
|
April |
$10,800 |
$(7,200) |
$18,000 |
Steady State |
May |
$10,800 |
$10,800 |
$- |
|
June |
$10,800 |
$10,800 |
$- |
|
July |
$10,800 |
$10,800 |
$- |
|
August |
$10,800 |
$10,800 |
$- |
|
September |
$10,800 |
$25,200 |
$(14,400) |
|
October |
$7,200 |
$39,600 |
$(32,400) |
Decline |
November |
$3,600 |
$36,000 |
$(32,400) |
|
December |
$- |
$(158,400) |
$(158,400) |
This comparison between net income and cash flows is not very revealing, in part because there are two cash transactions that are not related to the operating of Total Toy. That is, value creation, as reflected by net income, inherently involves using resources to create value, not merely acquiring or disposing of resources. Two of Total Toy’s transactions – the exchange of its equity for $90,000 at the beginning of January and the exchange of $176,400 to buy back its equity at the end of December – do no involving using Total Toy’s value-creation engine to create value. They are part of what is required for Total Toy to access its value-creation opportunity, but they are not directly involved in using that opportunity. Therefore, we think about the initial contribution of $90,000 and the dissolution payment of $176,400 as financing transactions, not operating transactions. The following table breaks up Total Toy’s cash flows into Operating and Financing pieces:
Table 9 Total Toy Cash Flows with Financing and Operating Cash Flows Separated |
||||
Month |
Financing Cash Flow |
Operating Cash Flow |
Total Cash Flow |
Phase |
January |
$90,000 |
$(14,400) |
$75,600 |
Growth |
February |
$(28,800) |
$(28,800) |
||
March |
$(25,200) |
$(25,200) |
||
April |
$(7,200) |
$(7,200) |
Steady State |
|
May |
$10,800 |
$10,800 |
||
June |
$10,800 |
$10,800 |
||
July |
$10,800 |
$10,800 |
||
August |
$10,800 |
$10,800 |
||
September |
$25,200 |
$25,200 |
||
October |
$39,600 |
$39,600 |
Decline |
|
November |
$36,000 |
$36,000 |
||
December |
$(176,400) |
$18,000 |
$(158,400) |
|
Total |
$(86,400) |
$86,400 |
We could add more detail to the calculation of Operating Cash Flows:
Table 10 Total Toy Cash Flows from Operations: Direct Method Statements |
||||
Month |
Cash from Customers |
Cash to Suppliers |
Total Operating Cash Flow |
Phase |
January |
- |
$14,400 |
$(14,400) |
Growth |
February |
- |
$28,800 |
$(28,800) |
|
March |
$18,000 |
$43,200 |
$(25,200) |
|
April |
$36,000 |
$43,200 |
$(7,200) |
Steady State |
May |
$54,000 |
$43,200 |
$10,800 |
|
June |
$54,000 |
$43,200 |
$10,800 |
|
July |
$54,000 |
$43,200 |
$10,800 |
|
August |
$54,000 |
$43,200 |
$10,800 |
|
September |
$54,000 |
$28,800 |
$25,200 |
|
October |
$54,000 |
$14,400 |
$39,600 |
Decline |
November |
$36,000 |
- |
$36,000 |
|
December |
$18,000 |
- |
$18,000 |
|
Total |
$432,000 |
$345,600 |
$86,400 |
This form of the statement of Operating Cash Flows just reproduces our analysis of Total Toy’s cash requirements in Table 3. It is intuitive, but it is also a “stand alone” type of presentation. That is, it tells us about cash flows, but not in a way that is woven in with the other financial statements. Can we do better?
A place to start is to compare operating cash flows to net income. Here is the table:
Table 11 Total Toy Comparison of Cash Flows from Operations to Net Income |
||||
Month |
Operating Cash Flow |
Net Income |
Difference |
Phase |
January |
$(14,400) |
$- |
$(14,400) |
Growth |
February |
$(28,800) |
$3,600 |
$(32,400) |
|
March |
$(25,200) |
$7,200 |
$(32,400) |
|
April |
$(7,200) |
$10,800 |
$(18,000) |
Steady State |
May |
$10,800 |
$10,800 |
$- |
|
June |
$10,800 |
$10,800 |
$- |
|
July |
$10,800 |
$10,800 |
$- |
|
August |
$10,800 |
$10,800 |
$- |
|
September |
$25,200 |
$10,800 |
$14,400 |
|
October |
$39,600 |
$7,200 |
$32,400 |
Decline |
November |
$36,000 |
$3,600 |
$32,400 |
|
December |
$18,000 |
$- |
$18,000 |
|
Total |
$86,400 |
$86,400 |
$- |
This is an interesting exercise, particularly when we recall that the net income numbers tell us about value flows and the cash flow numbers, obviously, tell us about cash flows.[3] For Total Toy, the flow of value is much smoother than the flow of cash. Value flows in a month relate simply to the sales in that month. Cash receipts and disbursements are related to value flows over the life of Total Toy, but are not so intuitive on a month-by-month basis. Cash disbursements to suppliers have to cover inventory purchases for next month’s sales. Cash collections are for last month’s sales. In a sense, there are timing mismatches in cash receipts and disbursements, at least from the standpoint of value-creation activities.
Further, we could go into some detail about these timing mismatches; i.e., about why there is a difference between cash flows and net income. One place those are reflected is in the balance sheet. For example, when Total Toy spends $14,400 for dolls from its supplier in January, it is purchasing an asset that will be useful in next month’s operations. This asset, Inventory, is reflected on Total Toy’s balance sheet as of the end of January. Similarly, when Total Toy sells 600 dolls in February, the right to collect $18,000 in cash in March is listed as an asset, Accounts Receivable, on Total Toy’s balance sheet at the end of February.
Revenues v. Receipts
Look at the following table showing the difference between cash receipts and revenues:
Table 12 Total Toy Comparison of Cash from Customers to Revenues |
||||
Month |
Cash Received from Customers |
Revenue |
Difference |
Phase |
January |
- |
$- |
$0 |
Growth |
February |
- |
$18,000 |
$(18,000) |
|
March |
$18,000 |
$36,000 |
$(18,000) |
|
April |
$36,000 |
$54,000 |
$(18,000) |
Steady State |
May |
$54,000 |
$54,000 |
$0 |
|
June |
$54,000 |
$54,000 |
$0 |
|
July |
$54,000 |
$54,000 |
$0 |
|
August |
$54,000 |
$54,000 |
$0 |
|
September |
$54,000 |
$54,000 |
$0 |
|
October |
$54,000 |
$36,000 |
$18,000 |
Decline |
November |
$36,000 |
$18,000 |
$18,000 |
|
December |
$18,000 |
$- |
$18,000 |
|
Total |
$432,000 |
$432,000 |
$0 |
Over the course of Total Toy’s life, cash collected from customers is equal to revenue. But what about in February? Revenue of $18,000 was recognized, but no cash was collected. This generated Accounts Receivable of $18,000. Total Toy starts February with $0 in Accounts Receivable, and ends it with $18,000 because revenue recognized exceeds cash collected from customers. Now look at March. Total Toy does collect some cash in March: $18,000. But it recognizes $36,000 in revenue. Again, revenue recognized exceeds cash collected from customers by $18,000. Total Toy starts March with $18,000 in receivables and adds $36,000 though new sales, an increase of $36,000 - $18,000 = $18,000. So Accounts Receivable will increase by $18,000. The difference between cash collected from customers and revenue recognized is reflected in an increase in Accounts Receivable when revenues exceed collections. We will not take the space to present the details, but it is worth going through this table month by month. You will see that as collections catch up to sales, the balance in Accounts Receivable remains steady. As collections outpace sales, the balance in Accounts Receivables falls. Stating these in the different direction, the balance of Accounts Receivable grows with revenues exceed collections, remains constant when revenues equal collections, and decreases when revenues are less than collections. This is reflected in the following table:
Table 13 Total Toy Cash Customers, Revenues and the Change in Accounts Receivable |
|||||
Month |
Cash Received from Customers |
Revenue |
Difference |
Change in Accounts Receivable |
Phase |
January |
- |
$- |
$- |
$- |
Growth |
February |
- |
$18,000 |
$(18,000) |
$18,000 |
|
March |
$18,000 |
$36,000 |
$(18,000) |
$18,000 |
|
April |
$36,000 |
$54,000 |
$(18,000) |
$18,000 |
Steady State |
May |
$54,000 |
$54,000 |
$0 |
$0 |
|
June |
$54,000 |
$54,000 |
$0 |
$0 |
|
July |
$54,000 |
$54,000 |
$0 |
$0 |
|
August |
$54,000 |
$54,000 |
$0 |
$0 |
|
September |
$54,000 |
$54,000 |
$0 |
$0 |
|
October |
$54,000 |
$36,000 |
$18,000 |
$(18,000) |
Decline |
November |
$36,000 |
$18,000 |
$18,000 |
$(18,000) |
|
December |
$18,000 |
$- |
$18,000 |
$(18,000) |
|
Total |
$432,000 |
$432,000 |
$- |
$- |
Notice that, because we are dealing with revenues, an increase in Accounts Receivable means that less cash was collected than revenues recognized.[4]
Expenses v Disbursements
Now let’s do the same exercise with cash disbursements. Here is the table:
Table 14 Total Toy Comparison of Cash Paid to Suppliers to Cost of Goods Sold |
||||
Month |
Cash Paid to Suppliers |
Cost of Goods Sold |
Difference |
Phase |
January |
$14,400 |
$- |
$14,400 |
Growth |
February |
$28,800 |
$14,400 |
$14,400 |
|
March |
$43,200 |
$28,800 |
$14,400 |
|
April |
$43,200 |
$43,200 |
$0 |
Steady State |
May |
$43,200 |
$43,200 |
$0 |
|
June |
$43,200 |
$43,200 |
$0 |
|
July |
$43,200 |
$43,200 |
$0 |
|
August |
$43,200 |
$43,200 |
$0 |
|
September |
$28,800 |
$43,200 |
$(14,400) |
|
October |
$14,400 |
$28,800 |
$(14,400) |
Decline |
November |
- |
$14,400 |
$(14,400) |
|
December |
- |
$- |
$- |
|
Total |
$345,600 |
$345,600 |
$0 |
In January, cash paid to suppliers is $14,400, while cost of goods sold is $0. If Total Toy spent cash to purchase dolls but still has those dolls on hand at the end of the month, the asset account, Inventory, will reflect this. Inventory is $0 at the beginning of January, and increases to $14,400 by the end of January. Why? Total Toy bought $14,400 more dolls than it used in the value-creation process.[5] In the long run, the total value of dolls sold equals the total value of dolls purchased, but that does not necessarily occur month-to-month. In the growth phase, Total Toy buys more dolls than it sells, and inventory grows. In steady state, it will buy and sell the same number of dolls and inventory remains constant until the decline is anticipated. In decline, the number of dolls sold exceeds the number of dolls purchased, and inventory decreases. In a perfectly managed decline, the last doll sold will be the last doll remaining in inventory and, as it was at the start of Total Toy, inventory will be $0. Here’s the table:
Table 15 Total Toy Cash to Suppliers, Cost of Goods Sold, and the Change in Inventory |
|||||
Month |
Cash Paid to Suppliers |
Cost of Goods Sold |
Difference |
Change in Inventory |
Phase |
January |
$14,400 |
$- |
$14,400 |
$14,400 |
Growth |
February |
$28,800 |
$14,400 |
$14,400 |
$14,400 |
|
March |
$43,200 |
$28,800 |
$14,400 |
$14,400 |
|
April |
$43,200 |
$43,200 |
$0 |
$0 |
Steady State |
May |
$43,200 |
$43,200 |
$0 |
$0 |
|
June |
$43,200 |
$43,200 |
$0 |
$0 |
|
July |
$43,200 |
$43,200 |
$0 |
$0 |
|
August |
$43,200 |
$43,200 |
$0 |
$0 |
|
September |
$28,800 |
$43,200 |
$(14,400) |
$(14,400) |
|
October |
$14,400 |
$28,800 |
$(14,400) |
$(14,400) |
Decline |
November |
- |
$14,400 |
$(14,400) |
$(14,400) |
|
December |
- |
$- |
$- |
$- |
|
Total |
$345,600 |
$345,600 |
$0 |
$0 |
Notice that, because we are dealing with expenses, an increase in Inventory means that more cash was spent than cost of goods sold recognized.
Putting It All Together
Only two steps are required to operate Total Toy: buying dolls and selling dolls. Therefore, if we put the revenue/receipts and expense/disbursements stories together, we should have an explanation of the difference between net income and operating cash flows. The following table verifies this intuition:
Table 16 Total Toy Reconciling Net Income with Operating Cash Flows |
|||||
Month |
Net Income |
Change in Accounts Receivable |
Change in Inventory |
Operating Cash Flow |
Phase |
January |
$- |
$- |
$14,400 |
$(14,400) |
Growth |
February |
$3,600 |
$(18,000) |
$14,400 |
$(28,800) |
|
March |
$7,200 |
$(18,000) |
$14,400 |
$(25,200) |
|
April |
$10,800 |
$(18,000) |
$0 |
$(7,200) |
Steady State |
May |
$10,800 |
$0 |
$0 |
$10,800 |
|
June |
$10,800 |
$0 |
$0 |
$10,800 |
|
July |
$10,800 |
$0 |
$0 |
$10,800 |
|
August |
$10,800 |
$0 |
$0 |
$10,800 |
|
September |
$10,800 |
$0 |
$(14,400) |
$25,200 |
|
October |
$7,200 |
$18,000 |
$(14,400) |
$39,600 |
Decline |
November |
$3,600 |
$18,000 |
$(14,400) |
$36,000 |
|
December |
$- |
$18,000 |
$- |
$18,000 |
|
Total |
$86,400 |
$86,400 |
Even though Total Toy is a very simple example, we see from the table that keeping signs straight is not easy. The trouble is that we have both inflows and outflows of cash and revenues (increases) and expenses (decreases), so there are a lot of cases. In this simple case we can reason our way through, but we will want a tool to make our work easier in more complicated cases. Think about the month of January. Cash disbursements exceed cost of goods sold, so we should subtract the increase in inventory. Now think about December. Cash receipts exceed revenues recognized, so we should subtract the decrease in inventory.
Discussion
Those familiar with cash flow statements will recognize that we have just presented cash flow from operations using the indirect method. The indirect method starts with net income and shows the steps required to get to cash flow from operations. Some things to note:
- When Total Toy is in the midst of steady state, there is nothing to explain because cash flow from operations and net income are equal. All the action takes place when Total Toy is either growing or declining (or transitioning between one of those phases and steady state).
- The indirect method of stating cash flows from operations relies on the links between the asset accounts, Accounts Receivable and Inventory, and the income statement accounts, Sales and Cost of Goods Sold, respectively. In general, liability accounts will also be involved. For example, if the supplier is willing to extend credit on Total Toy’s doll purchases, the liability account, Accounts Payable – Inventory, would be tied to Cost of Goods Sold. The indirect method would then involve tracking changes in Accounts Payable related to doll purchases.
- The growth, steady state, and decline phases of Total Toy are hypothetical ideals. Any business that survives for very long likely went through a growth phase fairly early in its life, but real organizations may go through various phases several times.
- The information in these cash flow from operations calculations is completely redundant given the income statement and balance sheets. That is, while intuitively appealing, anyone with access to the income statements and balance sheets could reproduce the information in the indirect method cash flow from operations statements.
- Given the simple transactions in which Total Toy engaged, the links between the balance sheet accounts and the income statement are particularly simple. In fact, they are deceptively simple. For example, the only reason Accounts Receivable changed over a period is that Sales were not equal Cash Collected from Customers over that period. This is not true for almost every company in almost every period. It is true that the difference between Sales and Cash Collected from Customers is one reason Accounts Receivable can change, but it is not the only reason. There are usually other transactions that affect Accounts Receivable that must be sorted out before we can find the part of the change in Accounts Receivable reflects the difference between Sales and Cash Collected with Customers.
Adding an Investment Decision
After the initial financing, Total Toy has only operating activities. For completeness, we now add an investing decision. This will have two effects: there is an additional cash outflow and the net income calculations will include depreciation expense.
Suppose Total Toy has to purchase a display case for its dolls. The case costs $12,000 and must be purchased before business commences. At the end of 12 months, it will be hauled away for free by a scrap dealer. Everything else proceeds as before.
Table 17 updates the cash flows given in Table 9 by adding an Investing Cash Flow column.
Table 17 Total Toy Cash Flows with Financing, Investing and Operating Cash Flows Separated |
|||||
Month |
Financing Cash Flow |
Investing Cash Flow |
Operating Cash Flow |
Total Cash Flow |
Phase |
January |
$90,000 |
($12,000) |
$(14,400) |
$75,600 |
Growth |
February |
$(28,800) |
$(28,800) |
|||
March |
$(25,200) |
$(25,200) |
|||
April |
$(7,200) |
$(7,200) |
Steady State |
||
May |
$10,800 |
$10,800 |
|||
June |
$10,800 |
$10,800 |
|||
July |
$10,800 |
$10,800 |
|||
August |
$10,800 |
$10,800 |
|||
September |
$25,200 |
$25,200 |
|||
October |
$39,600 |
$39,600 |
Decline |
||
November |
$36,000 |
$36,000 |
|||
December |
$(164,400) |
$18,000 |
$(146,400) |
||
Total |
$(74,400) |
$(12,000) |
$86,400 |
The income statement now includes depreciation expense, as shown in Table 18.
Table 18 Total Toy Income Statements |
|||||
Month |
Revenue |
Cost of Goods Sold |
Depreciation Expense |
Net Income |
Phase |
January |
$- |
$- |
$(1,000) |
$(1,000) |
Growth |
February |
$18,000 |
$14,400 |
$(1,000) |
$2,600 |
|
March |
$36,000 |
$28,800 |
$(1,000) |
$6,200 |
|
April |
$54,000 |
$43,200 |
$(1,000) |
$9,800 |
Steady State |
May |
$54,000 |
$43,200 |
$(1,000) |
$9,800 |
|
June |
$54,000 |
$43,200 |
$(1,000) |
$9,800 |
|
July |
$54,000 |
$43,200 |
$(1,000) |
$9,800 |
|
August |
$54,000 |
$43,200 |
$(1,000) |
$9,800 |
|
September |
$54,000 |
$43,200 |
$(1,000) |
$9,800 |
|
October |
$36,000 |
$28,800 |
$(1,000) |
$6,200 |
Decline |
November |
$18,000 |
$14,400 |
$(1,000) |
$2,600 |
|
December |
$- |
$- |
$(1,000) |
$(1,000) |
|
Total |
$432,000 |
$345,600 |
$74,400 |
Here is the comparison of Net Income and Cash Flow from Operations:
Table 18 Total Toy Comparison of Cash Flows from Operations to Net Income |
||||
Month |
Operating Cash Flow |
Net Income |
Difference |
Phase |
January |
$(14,400) |
$(1,000) |
$(13,400) |
Growth |
February |
$(28,800) |
$2,600 |
$(31,400) |
|
March |
$(25,200) |
$6,200 |
$(31,400) |
|
April |
$(7,200) |
$9,800 |
$(17,000) |
Steady State |
May |
$10,800 |
$9,800 |
$1,000 |
|
June |
$10,800 |
$9,800 |
$1,000 |
|
July |
$10,800 |
$9,800 |
$1,000 |
|
August |
$10,800 |
$9,800 |
$1,000 |
|
September |
$25,200 |
$9,800 |
$15,400 |
|
October |
$39,600 |
$6,200 |
$33,400 |
Decline |
November |
$36,000 |
$2,600 |
$33,400 |
|
December |
$18,000 |
$(1,000) |
$19,000 |
|
Total |
$86,400 |
$74,400 |
$- |
[1] In terms of a traditional demand curve, our assumptions are pretty extreme. In any period, 0 dolls are demanded at any price over $30. Further, cutting the price to, say, $29, is assumed to result in no additional demand.
[2] The implicit assumptions about the supply curve are also extreme. At any price below $24, zero dolls will be supplied, and any number of dolls will be supplied at $24.
[3] As we have discussed, cash flows are connected to value when we consider the value of the enterprise, Total Toy.
[4] More generally, we will have to work with revenues and expenses and related asset and liability account increases and decreases. Keeping track of signs gets tricky. (For a striking example of the mistakes this can lead to in practice, see Antle and Garstka, Financial Accounting: Questions, Exercises, Problems and Cases, Masters Edition (2nd Edition: 2004) Case 16-5 on page 402. That is one important function of the worksheet we introduce later.
[5] Total Toy uses dolls in the value-creation process by selling them.