Macro
Approach To
Detection
and Prevention of Corporate Insolvency
(The Determinant Factors)
By
Enyi
Patrick Enyi (ACCA, ACA, MBA)
Madonna University, Okija - Onitsha
Anambra State, Nigeria.
TITLE of PAPER: A
“MACRO” APPROACH TO DETECTION AND PREVENTION OF CORPORATE INSOLVENCY
(The Determinant
factors.)
ABSTRACT
The application of financial analysis tools such as current, quick, and fixed assets ratios, creditors cover and liquidity index among others have not helped in stemming the rising rate of insolvency and business liquidation owing mainly to the fact that these tools are inadequately equipped to highlight futuristic financial problem spots. A normative research carried out on moribund business organizations in Nigeria aimed at finding the reasons for their inability to detect futuristic financial problem spots and proffering solutions thereon reveal that there are factors other than immediate liquidity considerations which also affect the “going concern” position of a business in the long run. It also revealed that every business has its operational point of perfection, which stands as its financial homeostasis and that three main variables (product mark-up ratio, technical efficiency level, and the cost of operating a production cycle) are necessary for proper estimation of working capital adequacy. The study made use of the experimental and survey research methods for internal and external validity tests respectively. It recommends the application of an advanced working capital “formula” derived from this study for estimating the most appropriate level for a firm’s working capital base, as well as predict organizational life-span and evaluate future projects more objectively.
INTRODUCTION
The
last 20 years witnessed a spate of entrepreneurial turbulence unprecedented in
the more than 40 years history of business entrepreneurship in independent
Nigeria. The rate at which business
sprang up and go under was and is still of much concern to the average
discerning entrepreneur. Worst hit in
this wave of financial misfortune are banks and their hapless
depositors/customers. According to Business
Times vol.6 No 12, 2002, as much as 5 banks are currently listed as
distressed and could be liquidated any moment.
The cause of course is Insolvency.
The
first stage in liquidation starts with insolvency. For clarity we define
insolvency as the inability of an
organization to meet the demands of its maturing current or long term liabilities
owing to lack of liquid funds. It is
obvious from the job descriptions of business managers that they are
responsible for the detection and prevention of insolvency in their firms. The
ability to do this lies squarely on how the firm’s working capital resources is
managed (Enyi 2002).
Sellers et al (2002) in analysing the decisions of Canadian courts on insolvency tried to distinguish between corporate insolvency, liquidity and balance sheet insolvency defined insolvency thus:
- a corporation has ceased
meeting obligations as they generally come due;
- the property of the corporation at a fair value is not sufficient to enable payment of all obligations due and accruing due.
Thus, the first type of
insolvency, they referred to as “corporate
insolvency”, the second, they tagged “Liquidity
insolvency” and the last they called “Balance
sheet insolvency”.
Doetsch and Hammer (2002) identified another type of insolvency which they called “Cross Border Insolvency”. Cross Border Insolvency according to them exist where transnational firms are unable to generate sufficient revenue to satisfy their debt obligations. Their financial distress then creates a situation where assets and claimants are scattered across more than one country.
To
manage working capital along line
entrepreneurial objectives, finance and business activity controllers employ
the use of tools such as ratio analysis, forecasting and budgetary controls,
among others. These tools combine to
give the business managers historical as well as predictive information, which
they need for their day-to-day job of making survival decisions for their
organization. The ability to get the
right information at the right time and to take the right decision where and
when if matters most confers a big advantage on the firm over its peers and go
a long way to determine the eventual survival and success of such an
organisation.
The
main problem facing business managers and that which this paper aims to tackle
is of course, the usual lack of the right information at the right time and
most likely too, the absence or non-existing predictive information generation
tool such as the one that could reveal futuristic financial problem spots. To
buttress this latter assertion, a look at the current financial analysis tools
will point out the obvious defects in them.
Information
relating to business survival and insolvency are normally derived using the
following ratio analysis:
1. Working Capital Ratio: This is a
loose measure of capital adequacy or insolvency, which considers the totality
of current assets as against the totality of current liabilities existing at a
particular point (VanHorne 1977)
2. Quick (Acid Test) Ratio: This is a
tighter measure of capital adequacy or insolvency, which considers only cash
and near cash assets against the totality of current liabilities. This is what is currently and erroneously
referred to as the “Solvency Ratio”.
(This assertion shall be proved as we progress).
3. Fixed Assets Ratio: This ratio is
another loose measure of capital adequacy, which is intended to weigh the
available working capital against the totality of fixed assets apparently
hoping to measure the proportion of the firm’s working capital that is
available for servicing the fixed capital of the organization (Osisioma 1997).
Other
measures of capital adequacy include; Creditors Cover and Liquidity Index, which have little significance
in detecting especially, long term solvency of an organization. There are other measures associated with
working capital, which ostensibly are also intended to equip managers with
facts and data concerning the financial livewire of their organisation.
In
all, these existing tools are at best a kid’s
glove approach to working capital management. This is because most of them mainly lay emphasis on short-term solvency
as expressed in the relationship between available current assets and
their ability to offset current liabilities as they fall due. The present approach systematically ignores
the future requirements of the firm.
This situation is what can aptly be termed as the “micro” approach to
working capital management, and this particularly seemed not to realize even as
glaring as it is, that there is something, a powerful factor which determines
the extent of success and longevity of a business organization from the onset
and which continued to play a role throughout the life of the organization,
metamorphosing from one problem type into another in the all apparent response
to the dictum of economic and social manipulations. This obviously calls for a “macro” approach, which will look at
the entire working capital need of a firm in terms of the foreseeable size of
the firm’s activities given the organization’s initial level of technical and
managerial efficiency. This is the
missing link that this article intends to provide.
The first attempt to, perhaps, suggest a more effective way of preventive business failure forecasting was in the works of Altman (1983) in which he used the discriminate analysis technique to calculate bankruptcy ratio. This ratio which uses the Z value to represent over all index of corporate fiscal health, is used mostly by stockholders to determine if the company is a good investment. The formula for the ratio is
Z = 1.2X1 +
1.4X2 + 3.3 X3 +
0.6X4 + 1.0X5
where
X1 = Working capital divided by total assets
X2 = Retained earnings divided by total assets
X3 = Earnings before interest and taxes divided by total assets
X4 = Market value of equity divided by the book value of total of total debt.
X5 = Sales divided by total assets.
The range of the Z-value for most corporations is between -4 and +8.
According to Altman (1983), financially strong corporations have Z values above
2.99 while those in serious trouble have Z- value below 1.81. Those in the
Middle are question marks that could go either way. The closer the firm gets to bankruptcy/insolvency, the more accurate the Z value is as a predictor.
A critical look at the components of the Altman’s Z value formula and the interpretations reveal that, though the Z-value ratio is a milestone in the prediction of corporate insolvency, it suffers in precision and is likely to mislead the user unless, and off course, the corporation under analysis has already reached the problem spot. Also, more confusing is the range of acceptable values, users would perhaps, have preferred Z-value set in fractions or percentages as these are more or less universal and better understood than the ones used. Though, Altman rightly included working capital, retained earnings and earning before interest and taxes in his analysis as these are the main, if not the only, determinants of corporate solvency, the inclusion of such items as market value of share and total sales serves little or no purpose in the determination of the corporate solvency. This is because you can make billions of Naira of sales and yet record losses; and as posited earlier, it is profits that fuel continued cash flow, losses only dwindle them. In the same vein, the market value of a company’s share is external and has nothing to contribute to either profitability or cash flow. Hence, the inclusion of these two in the analysis only goes further to confuse the consequent Z-value outcome.
Business solvency revolves primarily at the working capital base of the organization, the fixed assets are only called upon at the critical but more agonizing stage of dismemberment when the death throws have already set in. The objective of any predictive function is to fore warn about a situation so that it can be avoided or taken advantage of. When this is lacking in a tool, then the tool becomes ineffective. Nevertheless, Altman’s work is still a very useful reference point in the analysis and study of business insolvency.
Capitalization
The foundation of all business
enterprises lies on the capital base of the organisation. In fact, the business organization is as
large as its capital base and as strong as its earning capacity (Enyi 2002).
Capital can be defined as the amount set-aside for the establishment
and running of a business organisation. To the economist, capital is a resource set aside for the production
of future goods and other resources, (Samuelson 1980:45).
Osisioma (1997) identifies the
two types of capital as fixed and circulating capital (the latter we commonly refer to as working capital). Whichever
types of capital a business has, matters much less to the survival of the
business than the adequacy of such capital and how they are managed. He
stated that while the investor will be primarily interested in the fixed
capital of an enterprise, the creditors will attach more importance on the nature
and adequacy
of the firm’s working capital as this is the area that bothers on whether and
how they get paid.
The American Accounting Research
Bulletin No. 43 in Osisioma (1997) defined Working capital as a
“margin or buffer for meeting obligations within the ordinary operating cycle
of the business”.
Working Capital Management.
VanHorne
(1977) described working capital management as the administration of current
assets in the name of cash, marketable securities, receivables and inventories
whilst Osisioma B.C. (1997) defined it as the regulations, adjustment and
control of the balances of current assets and current liabilities of a firm
such that maturing obligations are met, and the fixed assets are properly
serviced.
Working Capital Adequacy
To be adequate, working capital must be
supplied in Desirable Quantities while maintaining Necessary
Components. The size of a firm’s working capital is
determined by a number of critical factors.
The first being the size and scope of the business operations. The adequacy of any working capital is
closely tied to the size and scope of the organization’s operations. Other factors that determine adequacy
include the length of the production cycle.
For the purpose of this article, we shall promptly refer to the “Production
cycle” mentioned within the preceding paragraphs henceforth or
interchangeably as “production run” or production trial”. Hence, a production run is hereby defined as
The lowest recognizable periodic
division of an organisation’s production and marketing activities which can be
quantified on the basis of cost and income, upon which budgets and projections
can be prepared.
For
elaboration, if a firm produces 100 articles per day from a cycle of 20
production activities, this will give 5 articles per production. It may just suffice to say that one
production run makes up to 5 articles, however; this may not be ideal as there
are some costs that follow defined periods.
E.g. wages; and apportioning them to each production cycle may be a bit
misleading. The most ideal thing to do
would be to aggregate all productions and cost for one day and treat them as “one production run”.
The
liquidity approach is the most effective way of measuring working capital
adequacy in the short run; this of course, is the universal approach. However, with liquidity defined as “ability
to realize value in money....”, (Van Horne 1977); we should concern
ourselves with the continued promotion of the “going concern”
principle for the organization by choosing a MACRO approach towards the firm’s working capital requirements
rather than the micro method. This is
the net-investment approach.
A
measure of working capital adequacy which uses the net-investment approach and
particularly avoiding all static components should strive at a position which
adequately pinpoints the actual working capital requirement of the firm at any
future point in time, given present and any future projected changes in the
firm’s activity level, as well as the inflationary trend of the economy. This is because management and investors are
more concerned with future periods than with the present and past. A more suitable measure should include a
system that will take into consideration the past and present (as a guide) and
the future (as a plan) to arrive at its result. This is the area where the
existing solvency measurement tools have grossly been found wanting.
Learning Curves
C.T.
Horngren (1982) in his words defined Learning Curve as “a cost function where average
costs per unit of output decline systematically as cumulative production
rises”. The connection between learning curve and working capital
management stems from the fact that faulty productions owing to inexperience
adds to costs in the same way as the longer time it takes a new comer to a task
which results in higher wage payments than when such tasks were undertaken by a
highly experienced worker.
More
so, a study on the capital adequacy of small firms indicated that loses arising
from the cost of learning do, in fact, contribute to capital depletion. The
longer the period of learning, the higher the cost associated with learning and
the more the organisation’s capital is depleted. How badly this will affect the organization will depend, to a
large extent, on the rate of cost/loss recovery as expressed in the
pricing/marketing ability of the organisations goods and services.
Of course, it will take an
organization with a lower price-to-cost mark-up ratio much longer period to
fully recover costs and losses associated with the learning period than it
would take a similar organisation with the same learning period but with much
higher mark-up ratio. Thus, the costs
and losses associated with the learning periods can adversely affect the solvency
of an organisation when:
Ř
The learning period is unusually long and/or the mark-up
ratio is too low to hasten recovery of cost and learning losses;
Ř
The learning period is
short but no adequate capital to continue production and enhance the recovery
of costs and learning losses or a combination.
METHODOLOGY
Two
research methods were employed in this study and these are (a) Experimental
Research and (b) Survey Research. Two companies were used in the form of case
studies for the experimental aspect while 18 others (Appendix A) were selected
randomly for the external validation test survey. Questionnaire and oral
interview were used to collect research data. The first case study company, a
bakery was situated in Kano. It started bread bakery business in January 1984
and folded up 4 months after. The second company, an alcoholic beverage
manufacturer situates in Anambra State and still exists till date. It was
studied between 1993 and 1994.
CASE
STUDY DATA: CASE 1 CASE 2
N N
Commencement
Capital 115,000 N/A
Fixed Costs
Expenses 83,000 N/A
Working
Capital Available 32,000 984,000
Additional
Working Capital (Bank O/d) - 2,000,000
Cost of One
Production Run 4,000 452,000
1st
Production Recovery 500 90,400
2nd
Production Recovery 1,000 180,800
3rd
Production Recovery 1,500 271,200
4th
Production Recovery 2,000 361,600
5th
Production Recovery 2,500 452,000
6th
Production Recovery 3,000 452,000
7th
Production Recovery 3,500 452,000
8th
Production Recovery 4,000 452,000
9th
to 18th trials revealed the same pattern as the 8th
production run.
Source: Production and Sales Activity records
of the 2 companies.
The first problem to confront the
bakery company was the inefficiency of the sparsely skilled hired workers that
resulted in a lot of damages and materials wastage. This problem cost the company one full day’s production owing to
the high perishable nature of bakery products.
This loss resulted naturally to the firing of the production staff and
the engagement of new hands.
Production
commenced again after about 4 wasted days and this time around. Wastages were minimized but another problem
cropped up. Equipment malfunction;
and this has to be fixed at a substantial cost. And so the problem persisted, with new ones coming up at the
disappearance of the old ones. Eventually the working capital was exhausted. All the company’s attempts at securing an
overdraft were unsuccessful as no bank was willing to lend funds to such a
risky investment. And this was how the
company packed up.
According
to the chief executive of the bakery company, a remarkable twist was noticed
just before the company packed up. This
twist was that all those initial problems have been overcome, as they appear to
have vanished. This is because the
company have then found efficient and highly skilled labour and acquired a good
share of the bread market as the company’s bread now ranked among the best in
the locality. But unfortunately, the
company’s working capital has been so depleted that it is not enough to settle
outstanding debts and continue in production.
The
analysis of the beverage company’s activities equally revealed a similar trend
except that they were able to raise additional working capital through a bank
overdraft. From the study of the 2 companies it is fairly easy to discern a
trend, and this trend tends towards the applicability of the LEARNING CURVE
theory to the use of capital in live business situations. Another very notable effect was the reaching
of the zero point or “point of perfection” in other
words. However, the position where each
company attains its own zero problem differs according to the company’s
circumstances. Thus, it is very evident from this study that the concept of the break-even point can equally be applied
to capital funds, noting that capital funds have both fixed and variable
elements in the same manner as with product costs.
It
is a noted fact that the successful set up of any business will depend partly
on the entrepreneurial skill of the proprietors/managers and to a greater
extent on the availability of adequate capital. Where this is inadequate, the ultimate result will be early
liquidation. Reason being that in the
early stages of a business, there will exist some initial “learning” problems, which diminishes with time as they are
detected and solved. The point of
activity where these problems disappear completely is the firm’s point of
operational perfection and determines the operational break-even point of the
firm. However, equally important is the normal mark-up ratio of the firm, as
this will determine how long it will take internally generated finances to
recoup losses sustained at the leaning stage. Here, MARK-UP ratio refers to the
profit element added to costs to arrive at a product’s selling price. The
firm’s operational break-even point can only be reached when all learning
losses are recouped. In this context, operational break - even point can be
defined as the point or stage of activity where cumulative contribution margin
or recovered production outputs just equals the total cumulative costs and
losses of the learning period.
Analytical Considerations and
Assumptions
In
formulating the method of learning loss computation, point of operational
perfection and the operational break-even point, we have made the following
analytical considerations and assumptions:
1. Production/Trading
runs can be divided into equal periodic volumes;
2. That
production costs per volume remain at a constant rate at any level.
3. That as
experience is gained and production methods perfected, losses associated with
faulty works, wrong marketing strategies and other learning problems are
minimized.
4. That
“learning” losses are minimized at a rate equal to A - A ((n-t)/n) at each
run with the learning loss (L)
= (A(n-t)) / n
Where,
A
= Cost of one
production run
n
= number of
stages or trial required in the learning process to reach point of perfection
t
= the current
stage of the learning process.
{For instance, where A
= 4,000 and n = 8, the third
production trial will be: t = 3; hence Learning Loss (L) = 4,000 ((8-3)/8) = 2500 and loss
minimized or production recovered is 4000-2500 = 1500.}
5
That all recovered production outputs are sold at a cost
plus mark-up rate
“m”
which is assumed fixed for all periods.
6
That experience gained which can be plotted against working
capital usage
for the successive levels of production runs,
represents A - L, i.e. the amount
left over of the cost of one run minus the
learning loss multiplied by 1 + m,
BASIS OF LEARNING LOSS
COMPUTATION
From
the two companies studied, it was clear that the amount of losses attributed to
the learning process have bearing on the overall labour competence (which is a
function of the number of production trial runs required to reach perfection),
with the losses from each successive runs becoming less than the previous
run. A close study shows that the
losses follow the patterns of declining proportions with each run being
proportionately less in losses than the preceding one.
Assumption on Learning Losses
With the above remark in mind we shall now proceed to state the following assumption;
Ř
That an organization with an expert knowledge and production
perfection is most unlikely to sustain a learning loss and would most likely
get their production formula right at the first trial;
Ř That the learning loss at each trial run will occur at the rate of (n-1)/n for the first run, (n-2)/n for the second run, (n-3)/n for the 3rd run and so on until it gets to (n-n)/n
Ř
That the total learning loss is the aggregate of all losses
incurred at each of the trial runs before reaching production perfection.
APPLYING
THE “MACRO” CONCEPT
Revisiting the bakery case, it
was understood from an interview with the chief executive that the cost of one
daily production run is about N4,000 and that the company’s learning period
ended after the 7th production run as the company attained perfection
by the 8th run. It was also
gathered that the company used a uniform mark-up ratio of 30% on production
cost to sell its products. This is
translated as follows:
A
= 4,000
n = 8
m = 0.3
t
ranged from 7 to 1 (i.e. 8>t>0)
Refer
to Table A.1
Note:
Loss is calculated as (A(n - t))/n
Recovery is calculated
as A - Loss
Sales is calculated
as Recovery x (1 + m)
It
can be seen from table A.1 that the learning stage ended with the seventh run;
hence the point of perfection (POP) was reached in the 8th run.
Table
A.1 : ACTIVITY LEVELS TABLE (SUPER BABERS INC)
The following table show the expected losses and
production recovery at each production run and learning stage for Super Bakers
Inc.:
RUN COST LOSS RECO SALES CUM CUM
CUM.
VERY MADE
LOSS COST SALES
1.
4000 3500 500 650 3500
4000 650
2.
4000 3000 1000 1300 6500
8000 1950
3.
4000 2500 1500 1950 9000 12000 3900
4.
4000 2000 2000 2600 11000 16000 6500
5.
4000 1500 2500 3250 12500 20000 9750
6.
4000 1000 3000 3900 13500 24000 13650
7.
4000 500 3500 4550 14000 28000 18200
8.
4000 0 4000 5200 14000 32000 23400
Source: Daily Production and Sales
Records
Plotting
the data on the table into a graph in figure A. 1, it would be seen that the
learning stage produced a non-linear curve between runs 0 to 7 and a perfectly
linear relationship from run 8 onwards.
These two characteristics made it possible for the total revenue curve
to cut the total working capital usage line curve at the lowest possible point
forming the break-even point at the N60,000 working capital requirement
level. This is the least working
capital requirement that can be considered adequate for the business given the
company’s peculiar production and managerial characteristics. This can further be interpreted to mean that
the company must have working capital enough to cover at least 15 production
runs in order to make enough contribution margin to cover its 7 runs learning
curve losses and continue with uninterrupted production.
Figure
A.1 : Operational BEP Chart 1
For
further proof, the data for the beverage firm shall be similarly analysed and
graphed. The firm operates a weekly
production cycle which gives a weekly production cost is 452,000. Applying the
above information we have the following data:
A = 452000
n = 5
m = 0.3
t
ranged from 4 to 1 (i.e. 5 > t >0)
Table A. 2 (N’000) Learning losses and Production Recovery Table (BEVERAGES)
RUN COST LOSS
RECOVERY SALES CUM CUM CUM
LOSS COST SALE
1.
452 361.6 90.4 117.52
361.6 452 117.52
2.
452 271.2 180.8 235.04
632.8 904 352.56
3.
452 180.8 271.2 352.56
813.6 1356 705.12
4.
452 90.4 361.6 470.08
904.0 1808 1,175.20
5.
452 0 452 587.60
904.0 2260 1,762.80
6.
452 0 452 587.60
904.0 2712 2,350.40
7.
452 0 452 587.60
904.0 3164 2,938.00
8.
452 0 452 587.60
904.0 3616 3,525.60
Source: Daily Production and Sales Records
Here the learning stage ended with the
4th run and the POP was reached in the 5th run.
Again we can see how the learning loss
thinned off at the 4th production run. Graphically, the same pattern is also discernible, thus producing
its own operational break-even point at 4,000,000 working capital requirement
level.
Figure A.2 : Operational BEP Chart 2
Formulating
the Adequate Working Capital and Operation BEP Model
Using
the available data, the operational Break Even point (in numbers of required
production runs) leading to the required adequate working capital with A, t, n,
and m as before can be formulated as follows:
Operational Break-Even point (BEP) = (fn (1+m)) / m
Minimum number of activity trial runs to reach
Operational Break-Even Point
P = ((n - 1) (1 + m)) / 2m
Minimum working capital required to reach operational
break even point
WC@ P = (A (n - 1) (1 + m)) / 2m
The learning Process Loss Factor “f” then comes to: f = ( n –
1)/2n
Total Expected Losses “L”
due to “Learning Process” becomes;
An x (n-1) = An
(n - 1) = A (n-1)
1 2n 2n 2
Proof 1: With A=4000,
n =8,
and m=0.3,
The BEP (in number of production runs)
will be
P
= ((8-1)(1.3)) / (2 x 0.3) =
(7 x 1.3) / 0.6 = 9.1 / 0.6
= 15,167
runs (Approx. 16 runs)
The
BEP in terms of working capital requirement will be:
WC @ P = (4000 (8-1) (3.1)) / (2 x
0.3) = 36,400 / 0.6
= N60.667 (Approx N61,000)
Compare these figures with those read
from the graph in figure A. 1
Proof 2:
With A = 452,000, n = 5, and m = 0.3
The BEP (in number of production runs)
will be:
P =
((5-1)(1.3)) / (2 x 0.3) = (4 x 1.3) / 0.6 = 5.2 / 0.6
= 8.67 runs (Approx 9 runs)
The BEP in terms of working capital
requirement will be;
WC @ P = (452000 (5 - 1) (1.3)) / (2 x 0.3) = 2.350.400 / 0.6
= N3,197,333
(N4million)
Compare the above figure with that read
from the graph in figure A.2.
Significance of the
operational Break Even Point:
The
Operational Break Even Point is the point of activity where the internally
generated revenue would have accumulated funds from Operations enough to recoup
all losses attributable to the learning process and bring the organization’s
working capital to an even keel, such that operations from this point onward
adds more to profit and nothing to the reverse so long as the firm maintain the
now attained level of efficiency and effectiveness in operation. This is the equilibrium position of the firm
as regards its working capital position. Most importantly, the operational BEP
is the point where it is now safe and convenient to repay back any borrowed
fund used in augmenting the initial working capital base.
A
good application of this concept will enable proprietors and managers to
maintain a cautious and effective working capital base; deciding when to borrow
and when to repay, when to expand activities and when to contract without
affecting the firm’s operations. Also losses associated with
work stoppages due to shortage of capital can conveniently be avoided if
capital procurement and repayment is carefully planned and executed.
APPLICATION TO
PROJECT EVALUATION
Applying
this concept to the process of evaluating future project cost will enable a more
reliable estimate of the total capital requirement of a project to be made in
advance and adequate arrangement made to source the needed capital. The
following mathematical model will assist in estimating the total capital
requirement of a given project with a more cautious look and fairly high degree
of accuracy.
Project Cost (P) = FC + WC @ BEP
Where
FC
= Fixed or sunk cost of capital
assets acquisition.
WC@BEP = Working Capital
requirement at projects
Operational break - even point.
Revisiting the case of bakery, a proper capital requirement
estimate for the company ought to be:
P = (68,000 + 15,000) + 60,667 = N143,667, Compare this amount
with the N115,000 the company has on commencement as revealed in
the case study data. The short fall of N28,667 (i.e. N143,667 –
N115,000) perhaps explains why it has to liquidate no sooner than it commenced
operations.
Note:
The working capital requirement of 60,667 was calculated using the
formula and figures in A.1
MEASUREMENT
OF RELATIVE SOLVENCY.
Having calculated the required level of
working capital for the business, it is now possible to measure the firm’s
Relative Solvency Ratio (RSR) and the likely stage where solvency problem is
expected to occur. This is calculated as follows: RSR = Available Capital / Required BEP Capital
Thus using the data for the bakery, its
RSR will be measured as:
RSR = 32000 / 60667 = 0.5275
The probability or chance of
liquidation is then measured as follows:
Chance of Insolvency (CI) = 1
- RSR
Thus,
for the bakery, the chance of being insolvent
= 1 – 0.5275 = 0.4725.
With
CI determined, we may proceed to calculate the likely stage/point of production
or trading when the insolvency is expected to occur.
This is simply measured by multiplying
the RSR with BEP number of productions; i.e.
Likely Point of Insolvency = RSR * BEP (Number of Runs)
For the
bakery, this will be: LPI = 0.5275 * 15.167 = 8
This could be interpreted to mean that
the company may become insolvent just by the 8th production run; and this was
exactly the case. Relative Solvency
Ratio (RSR) is so called because the ratio measures the
available working capital in terms of the required working capital.
CONCLUSION
To
prove that a relationship exist between Relative Solvency Ratio (RSR)
and organizational life span, we measured the correlation or relative
association between the two data for 18 failed business organizations provided
in appendix B. The calculation of
relative association in Appendix B, using the Spearman’s formula
reveal that there is a strong correlation between organisational relative
solvency ratio (RSR) and its longevity as given by the correlation rate of
0.835.
A more stringent mathematical proof
performed outside this article using a “t” distribution hypothesis test revealed that “The mean life of Organizations
having
RSR less than 1 is significantly different from those organizations having RSR
greater than or equal to “1" this is to say that if those
companies that failed were given the opportunity to know and improve on their
relative solvency ratio (RSR) in terms of making more working capital available
at their various points of need, the story could had been a lot different.
RECOMMENDATIONS
Though, this study was based on the
data collected from business operations in Nigeria, we believe that this new
concepts is of universal relevance.
However, in order to provide a sound basis for its global
acceptance/application, similar studies should be undertaken in other countries
of the world. The researcher has a
strong belief that the introduction and implementation of the findings of this
research as additional tool of financial management with
regards to working capital management would go a long way to improve the
operational performance and relative longevity of most organizations.
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LIST
OF SELECTED FAILED BUSINESS
ORG. CODE |
TYPES OF BIZ |
INCEPTION DATE |
LIQUIDATION DATE |
LIFE SPAN (MONTHS |
RSR RATIO |
CAUSE OF DEATH & LOCATION |
C03 D04 E05 F06 G07 109 J010 L11 L12 M13 N14 O15 P16 Q17 R18 S19 T20 V21 |
BANK BANK BANK BANK BANK BANK FINCOY BANK FINCOY BANK BEVMFR BREW MOTOR BAKERY BREW BEVMFR BREW BKSHOP |
1929 1931 1937 1933 1971 1971 1993 1947 1986 1952 1989 1976 1978 1984 1980 1986 1980 1970 |
1930 1936 1994 1994 1999 1994 1995 1953 1986 1960 1995 1997 1988 1984 1992 1992 1990 1980 |
12 60 684 732 338 276 24 72 8 96 72 252 120 3 144 72 120 120 |
0.32 0.40 10.2 1.15 1.05 1.01 0.12 0.50 0.02 0.06 0.15 0.75 0.52 0.41 0.60 0.42 0.36 0.65 |
INSOL LAGOS INSOL LAGOS MIS-M LAGOS MIS-M LAGOS MIS-M LAGOS MIS-M LAGOS INSOL NNEWI INSOL LAGOS INSOL LAGOS INSOL LAGOS INSOL ULI INSOL ONITSHA INSOL ONITSHA INSOL KANO INSOL ENUGU INSOL ENUGU INSOL ABA INSOL KANO |
KEY: FINCOY = FINANCE COMPANY ; BEVMFR = BEVERAGE MANUFACTURER;
BKSHOP = BOOK SHOP; INSOL=INSOLVENCY; MIS-M = MISMANAGEMENT
(COMPANIES IDENTITIES CODED FOR CONFIDENTIALITY)
SOURCE:
NATIONAL ARCHIVES IBADAN
RSR
DERIVED FROM COMPANY’S ANNUAL REPORTS.
APPENDIX B
TEST OF CORRELATION BETWEEN
COMPANY LIFE SPAN (IN MONTHS) AND RELATIVE SOLVENCY RATIO (RSR)
COY LIFE RSR
CODE SPAN (X) (Y) (XY) X2 Y2
C03 12 0.32 3.84 144 0.1024
DO4 60 0.40 24.00 3600 0.1600
J10 24 0.12 2.88 576 0.0144
K11 72 0.50 36.00 5184 0.2500
L12 8 0.02 0.16 64 0.0004
M13 96 0.60 57.60 9216 0.3600
N14 72 0.15 10.80 5184 0.0225
015 252 0.75 189.00 63504 0.5625
P16 120 0.52 62.40 14400 0.2704
Q17 3 0.41 1.23 9 0.1681
R18 144 0.60 86.40 20736 0.3600
S19 72 0.42 30.24 5184 0.1784
T20 120 0.36 43.20 14400 0.1296
V22 120 0.65 78.00 14400 0.4225
E05 684 1.02 697.68 467856 1.0404
F06 732 1.15 841.80 535824 1.3225
G07 338 1.05 354.90 114244 1.1025
I09 276 1.01 278.76 76176 1.0201
TOTAL 3205 10.05 2798.98 1350701
7.4847
n =
18
r = 18
(2798.89) - 3205 (10.05)
Ö(18(1350701) -
32052) (18(7.4847) – 10.052)
= 18169.77 /
21759.56
= 0.835
This result shows a strong positive
correlation between RSR and company life span.