Thursday, August 9, 2018

Business Growth and Liquidity



An owner of an IT consulting firm spoke to me the other day about his business. His chief concern was finding and growing revenue so he can grow his business. He indicated that in some years he has generated more fee revenue than others, which caused him to take-out or contribute funds to his business. Business has been good of late, so he was struggling trying to figure out which projects to take on (e.g. large projects with deferred fee collections and average realization rates or small projects that would cash flow sooner at lower estimated realization rates). His decision will impact how large his business will grow into the future. His problem of determining how fast he can grow his business is similar to other business owners and CEO’s I have advised and worked for. I listened to his dilemma and responded to him by indicating that I understand his problem. I congratulated him on his success and also commented that it is possible he ends up in a liquidity crises or worse by growing revenue too fast given his liquidity profile and financial model. With a look of disbelief, he asked me how. My answer is as follows.

While most public and private businesses I have worked in, modeled and followed, desire and are typically focused on growth, a smaller number actually perform financial planning in a manner that, explicitly focuses on the limits of sustainable growth (also known as known as the sustainable growth rate (SGR). The definition of the term is as follows.

SGR is the maximum amount sales can increase without depleting financial resources which means that there is a limit to revenue growth based on a given company financial model. For an owner/operator consultant/CEO trying to grow a practice to growing Fortune 500 businesses, it generally takes resources (i.e. more assets that must be paid for) to increase sales.

The concept was developed by Professor Robert Higgins of the University of Washington. Put another way, what he describes in general, is the maximum rate of sales expansion an enterprise can undertake without issuing debt or equity in a given unaltered capital structure. Since all company balance sheets must be comprised of total assets that equal the sum of total liabilities and equity, equity growth allows for growth in liabilities which determines the rate in which assets can expand, which in turn determines the growth rate in sales, as sales bear a relationship to the asset base in a given enterprise. As Robert Higgins indicated, a company’s SGR is equivalent to its growth rate in equity defined as PRAT. [i]  PRAT represents relationships between profit margins, assets turnover, leverage and earnings retention as follows:

P = profit margin
A = asset turnover ratio, (P x A = return on assets (ROA))
T = assets to equity ratio (i.e. leverage ratio)
R = retention rate (i.e. the portion of net income retained in the business)
The first three terms (i.e. P, A and T) are sourced from the DuPont ROE calculation method which is:

(Net income/sales) x (Sales/total assets) = ROA x (Assets/equity) = ROE

ROE is then multiplied with the earnings retention rate to arrive at the sustainable growth rate as follows:

ROE x (earnings retention rate) = sustainable growth rate in revenue (SGR)

Higgins points out that SGR is the only revenue growth rate that is consistent with stable values in the four ratios and that at least one ratio must change if a company grows at any other rate than the SGR. Which means that operating performance (measured by ROA) or its financial policy (i.e. leverage or earnings retention) must change? Companies with growth rates higher than SGR result in cash deficits. In response, companies can increase profit margins or asset turnover thereby altering ROA or change financial policies (i.e. leverage, equity issuance and earnings retention). Higgins indicates that for long-term sustainable growth issues some combination of debt increase, equity issuance, increased profits, divesting marginal activities or merger with a cash cow would need to take place. Listed below is a summary of the SGR:

Figure 1 - Summary of SGR (Gray boxes are ROA related components, Green boxes are financial policy components)

Powerpoint liquidity charts v2




Source: ‘How Much Growth Can Borrows Sustain?”, George W Kester, 2002

In Figure 2 below we present the hypothetical financial statements of a professional services firm that bills time at rates that absorb payroll and other operating costs plus is sufficient to service debt and/or make investments in assets.


Figure 2 – Hypothetical Balance Sheet and P&L of Professional Services Firm

Hypothetical Service Firm Financial Statements
Base Case
Balance Sheet
Cash in bank 10
Accounts receivable (billed fees) 3...

Source: “How Fast Can Your Company Afford to Grow,” Neil C. Churchill & John W. Mullins, Harvard Business School Publishing, 2001 and Gregg Carlson calculations/assumptions
Plugging numbers from the financial statements into the SGR model yields the following results:

Net Income/sales = profit margin of 5%
Sales/Assets = asset turnover ratio of $2,000/$682 = 2.93
Assets/Equity = leverage ratio of $682/$432 = 1.57[ii]
Equals ROE and SGR due to 0%/100% debt to equity = 23.00%

The model indicates that the revenue SGR is 23%, which means that growth rates above this number require better operational performance (profit margin and/or asset turnover = ROA) or changes to the capital structure (e.g. debt/equity issuance and/or increased earnings retention) in order to avoid cash deficits,  liquidity & working capital issues and/or a conversation with your banker. An entrepreneur, owner or CEO would need look at their realistic options in terms of operational performance, financing/capital structure options, asset sales/divestitures or mergers. On the other hand, entrepreneurs, CEO’s and owners who run enterprises at growth rates that are less than their sustainable growth rates face issues of slow growth, cash buildup and underutilized resources.

As an advisor to entrepreneurs, CEOs and business owners I have also used other model-analytical tools to address the above issues such as building explicit forecasts of company financial statements (P&L/Cash Flow/Balance Sheet) and  cash receipt/disbursement models(daily/weekly/monthly/annual)  to calculate liquidity needs and cash flows.

In addition to SGR model described above and explicit forecasts, I have found the operating cash cycle model to be a useful companion to explicit forecasts as well as a logical framework as a management and communication tool. 

It is well known that businesses require cash and growing businesses typically require more cash to fund working capital, operating expenses and investments in facilities and equipment. A key concern of growing businesses is to achieve a balance between generating and consuming cash. I have found that focusing on the operating cash cycle to be a useful approach to managing liquidity and determining the self financing revenue growth rate. The discussion here is based on an analytical framework described by Neil C. Churchill and John W. Mullins in a framework they developed for calculating the self financeable revenue growth rate of a business.[iii]

Churchill and Mullins state that a growing business can find itself out of business by outgrowing its cash resources. They address the issue by developing a calculation known as the self financeable growth rate (SFG). They develop a framework to determine what growth rate its current operations can sustain and define three model factors as follows:

1)      Operating cash cycle – the amount of time company money is tied up in inventory and other current assets before a company is paid for the goods and services it produces;[iv]
2)      Amount of cash needed to finance each dollar of sales, including working capital and operating expenses; and
3)      The amount of cash generated by each dollar of sales.

Like the Higgins SGR model described here, the Churchill and Mullins SFG framework goes beyond the calculation of sustainable revenue growth rates as a tool that provides insight into how operational efficiency, profit margins, product lines and customer segments can fuel revenue growth or not.

The operating cash cycle is a calculation of how many days cash is tied up in working capital before money is returned to the company in the form of customer payments for goods or services sold. The shorter the cycle the faster a company can redeploy its cash and growth from internal resources. In other words, the fewer days in receivables and inventory, the higher the turnover and the larger the number of days in payables, the better the SFR.

In addition to working capital, the SGR framework addresses how much cash is tied up in operating expenses by calculating how much is invested in operating expenses per dollar of sales and how long  the cash is tied up in the operating cash cycle.

The SGR framework also considers how much cash per dollar of sales flows to the bottom line and is available to fund the next operating cycle after being consumed by cost of sales and operating expenses.

Based on the above, an operating cash cycle (OCC) growth rate and the number of OCC’s can be calculated to arrive at an annual self financeable sales growth rate (SFG). In Figure 2 – Hypothetical Balance Sheet and P&L of a Professional Services Firm, I show the calculations described here as follows:

1)      Cash tied up per revenue/sales dollar in COS and operations adjusted for time (.40 +.08 =  .48);
2)      Cash generated per revenue/sales dollar (.05);
3)      Self financeable growth rate (SFG) calculation (cash generated by sales divided by cash tied up in operations) (.05 divided by .48 = 10.39% (SFG);
4)      Calculation of number of OCC’s per year (365 divided by OCC 166 = 2.198;
5)      Annual SFG is SFG (10.39%) x OCC’s per year (2.2 rounded) = 22.83%

The SFG is the sustainable rate at which sales/revenue can grow. If the business grows revenue at less than this rate, with all other variables held constant, the business will produce more cash that it will need to fund its growth. On the other hand, if its revenue growth rate is higher than its SFR, it will be strapped for cash.

Levers that the entrepreneur, business owner or CEO have for speeding up cash flow in a way to allow for increased SFR growth rates  while avoiding the use of external financing fall within the three areas and include; speeding cash flow through higher receivable and inventory turnover, reducing operating expenses and/or increasing prices and margins. In this model example I have not made adjustments for taxes, depreciation, asset replacement, major investments in R&D and marketing as well as differing cash and operating characteristics for different product lines within a business. In real life the entrepreneur, business owner or CEO will need to do so.[v] The model is capable of handling these inputs.

For an entrepreneur, business owner or CEO who must make liquidity influencing decisions such as what customer or projects to take on, where to price products/services vis-a-vis turnover/margins, what investments to make or dissolve, how large to let assets grow and what target returns to aim for, the models described here are helpful. In small businesses, I have seen the concepts described here managed by intuition in lieu of a formal process. Size, growth and complexity typically require more robust analytical and decision making processes. Bigger businesses I have been involved with have traditionally dealt with financial modeling of growth through an explicit forecasting process of profitability, cash flow and assets/liabilities/equity. In many of these cases, I used all or parts of these models to validate explicit forecasts. In other cases, I have used modeling concepts discussed here in lieu of explicit forecasts. The concepts modeled here have been used to advise and provide insight to entrepreneurs, business owners and CEO’s in support of business decision making processes.

I have used a professional services firm as an example to illustrate the concepts in the two models presented here. In the future, I will provide additional examples of how these and other related models might be used to analyze the growth rates and liquidity characteristics of businesses with varying financial models such as “asset heavy” hotels and casinos or companies with significant R&D investment in intellectual capital, among others.

For additional resources see the footnotes below.[vi]



                                                        















[i] Analysis for Financial Management, Sixth Edition, Robert Higgins, 2001
[ii] The model requires that beginning period equity be used for the calculation.  End of period equity of $532 and net income of $100 = $432 of beginning period equity as the model assumes no other changes in equity between the beginning and end of year.
[iii] The discussion of the operating cash cycle framework was sourced from, “How Fast Can Your Company Afford to Grow? Neil C. Churchill and John Mullins, Harvard Business School Publishing, 2001. The financial statement data and assumptions example used here are based on the article and then modified by Gregg Carlson as a hypothetical example of a professional services firm.
[iv] The components of the operating cash cycle include days of holding inventory, receivables and other current assets as well as days in accounts payable and other current liabilities to determine the length of time cash is tied up.
[v] For additional information here, see page 8 – 9 of the article, “How Fast Can Your Company Afford to Grow?, Neil C. Churchill and John Mullins, Harvard Business School Publishing, 2001.
[vi] For additional information on cash flows and liquidity issues see:
“Growth, Vitality, And Cash Flows: High-Frequency Evidence from 1 Million Small Businesses,” JP Morgan Chase Institute, September 2016;
“How Much Growth Can Borrowers Sustain?, George Kester, 2002 and was originally published in June 1991 in The Journal of Commercial Bank Lending;
“How Fast Should Your Company Grow?”, William E. Furman, Jr., Harvard Business Review, January 1984