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Statement of Cash Flows
Hypothesis to Presentation method

Introduction

Currently, the U.S. GAAP requires the methodology of the Statement of Cash Flows (SCF) to be based on "strict set" theory: cash flows events (CFEs) are each classified as exclusively either a result of Operation, Investing or Financing activities. In itself these classifications are valid as they represent a dimension of the generic organizational structure of business entities today.

However, the SCF and the embodied CFEs lack comprehension in the utility to the user, especially in light of the complexity of instrument available to management of organization that can lead to distorted reporting. Although misreporting may be done intentionally to manipulate figures, even under the best of conditions the application of GAAP to a variety of activities may be inconsistent between companies, because of the required use of judgment in determining the class of an event.

For example, retirement of secured bonds, either on a timely or premature basis may initially seem a financing activity because the issue of a bond is a financing activity. However, the release of the attachment of a secured asset, falls under "operation" or perhaps "investing", depending on the exact terms of the bond and the most likely effect of the bond on the company's asset liquidity. Currently, such classifications are left to the discretion of managers or the professional judgment of the engaged practitioner.

This hypothesis proposes a multi-dimensional concept whereby cash flow events are classified according to the degree of membership of the event in the three traditional sets: Operation, Investing, Financing.

Regardless of the "true answer" to any particular circumstances, increasingly the easy yet simple framework is too weak to hold the definitions of modern business activities. Additional dimensions are needed to make the presentation of the SCF and its underlying CFEs, more consistent and thus more useful to the user. Currently, a cash flow event is classified on a simplistic, single dimension, which provides incomplete information about the essence of the underlying transactions. A multi-dimension presentation can enhance the utility of the SCF by disclosing more of the nature of the CFEs, not necessarily by providing more detail, but by providing a degree of relationship to the three general areas in the SCF.

Enter the 2nd and 3rd dimensions...

In reality, a CFE can belong to any of three general areas of the SCF. Currently, the managers or the accountant must choose the lesser of all evils when determining the to which general class a particular CFE "most" belongs. However, such a choice by it nature distorts the presentation of the underlying transaction. What this hypothesis offers is a breakup of the "all or nothing" framework. As such, a CFE can be essentially allocated between the three, using elements of set theory known as "Fuzzy Logic".

To some this might feel a lot like applying a weight to balance, and aggregating to results. In fact there are some general differences in how these "weights" are used in certain computations, because they are not actually weights. Suffice it to say, thought that they represent degrees of membership of an event to a class of cash-flow events (more about this difference in the example below).

Fuzzy Logic, mocked by some politicians as a "feel good" math, deserves a more serious look by practitioners. In practice Fuzzy Logic is a common sense mathematical concept of relating members to a group; in this case, relating CFEs to the general areas of the SCF.

In its purest form, the traditional set theory is a "crisp logic" theory. Under the crisp-logic doctrine, a member belongs to a set, or the member does not belong to a set, and there is no middle ground. However, crisp-logic might be seen as a special case of the "fuzzy logic" framework. Under the latter, a member of a set belongs to the set to a degree between 0.0 and 1.0. Thus, crisp-logic is just a special case of fuzzy logic. In crisp logic, a set or sets exist where members have only 0.0 or 1.0 level of membership.

SCF: Second Dimension

For example, an operational activity such as "Sales Revenues" is typically a crisp-logic event. It is 1.0 member of the "Cash from Operation" set, and is 0.0 for the other two sets. However, in reference to the secured bond example above, a retirement of bond as a CFE may be considered for example a 0.4 membership in "Cash from Operation" and 0.6 as an event of "Cash from Financing".

Example:

 

Strong Membership

0.8-1.0

Moderate Membership

0.3-0.7

Weak membership

0.0-0.2

Operations

Revenue from Sales

 

Bond Retirement

Investing

 

Certain Equity Instruments

Revenue from Sales

Financing

Bond Retirement

Certain Equity Instruments

Revenue from Sales

The table above can help classify each CFEs into the three SCF classes with a degree of membership in all three.

Third Dimension:

The reason for the SCF's birth is to provide primarily for the question of 'going concern', or the ability of an entity to continue its operations and viability within a foreseeable period of time, typically defined as twelve months.

In light of the definition of the objective of the SCF, the objective of predicting "going concern" can be mostly achieved if the effects of CFEs can be measured and reported in terms of their timing. For example, a replacement sale and purchase of a fixed asset such as a plant or major equipment is an event that has a timing effect of typically one year. Thus, gain or losses from a capital exchange can be generalized to "short term" CFEs. By contrast, amortization of goodwill from purchase of a subsidiary, currently done over 20 years from inception, is added back to the Net Income to produce the SCF. Amortization can be generalized as a "Long Term" CFEs.

Example:

 

Short Term

Long Term

Operations

Revenue from Sales

In Flow from Long Term Commitment

Investing

Gain on Asset Disposal

Amortization (add back) of Goodwill

Financing

Bond Retirement

Certain Equity Instruments

The table above can help classify each CFE into the three SCF classes with either long- or short-term effect on the company's financial position.

Hypothesis

The prime objective of the SCF is the projective nature it embodies to the user. In other words, the utility of the SCF is measured by its ability to convey to the user a projection of future event. The SCF was called for, and should be designed appropriately to meet this objective.

The current single dimension of the SCF can be supplemented by additional dimension by further classifying CFEs on either a degree-of-membership scale or timing-effect scale, or both. Graphically, the last proposition is of course not easy to present. But at least in theory, it should be the most effective way to communicate the projected timing and nature effects of the various CFEs on the financial position of a company as of the end of its financial reporting period.

The underlying assumption to this hypothesis is that an efficient market place will be able to make use of this information. It is further assumed that the cost of accounting for these additional dimension will be lower, possibly much lower, than the expected benefits.

Example

1D Presentation

Operating

 

Cash Revenues

$1,000

Investing

Bond Retirement

600

Financing

Sale of Intangible

400

TOTAL

$ 2,000

In the 1D example, a crisp logic method is used. This poses difficulty in properly placing and presenting some transaction. If the sale of intangible asset in the example above relates to a specific patent for the production of Widgets, a case can be made as to the inclusion of some or all of the transaction's balance in "Cash from Operation". Similarly, if the bond retirement transaction is in essence a convertible bond or debt on operating assets, a case can be made to the effect of the transaction on financing or operating cash flow, respectively.

2D Prsentation

Operating

Investing

Financing

Operating

Cash Revenues

$1,000

1.00

-

-

Investing

Bond Retirement

600

-

0.60

0.40

Financing

Sale of Intangible

400

0.20

-

0.80

TOTAL

$ 2,000

1,080

360

560

In the 2D example some of the issues from the 1D example are resolved. The Sale of intangible in this particular situation is shown to be mostly relates to financing but has some bearing on operation. However, this is not an "allocation" per-se: if the 2D were to "collapse" into a 1D form, the 0.80 would command the inclusion of all of the transaction's balance in the Financing section, because fuzzy logic uses "min/max" instead of "and/or", as in crisp logic.

3D Prsentation

Short Term

Long Term

Operating

Investing

Financing

Operating

Investing

Financing

Operating

Revenues

$1,000

1.00

-

-

-

-

-

Investing

Bond Retirement

600

-

0.10

0.20

-

0.50

0.20

Financing

Sale of Intangible

400

0.20

-

-

-

-

0.80

TOTAL

$2,000

1,080

60

120

-

300

360



In the 3D example, a new dimension is introduced above and beyond the weighted "allocation" of the transactions among the three general areas. In this dimension, not only the underlying nature of the transaction disclosed, but also the time effect. In this example, the disclosure shows that the retirement of bonds is not only "allocated" between investing and financing, as in the 2D example, but that the CFE's 0.60 membership in the Investing area, is really broken down between 0.10 of short term and 0.50 of long term. The 3D presentation includes additional disclosure; the 2D presentation simply presents the transaction in its proper place.








DRAFT

Fall 2001 Revised May 2002 ©
Reproduction of this article without
the written consent of the author is prohibited

Yigal Rechtman