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CONCEPTO CANTIDAD VALOR

UNIT 2 EDUCATIONAL COST AND FINANCIAL

classification of educational costs raises a lot of economic, financial,

institutional and technical questions; such as what has to be sacrificed?

When does money have to be paid? Who has to pay? And what is the

function of the inputs? (Psacharopoulous and Woodhall, 1985). The

answers to these complex issues and problems vary with regards to the

various bodies or groups of individuals who take decisions regarding the various aspects of costs and revenue within the educational system.

There is, therefore, the need to map out the structural analysis of the various cost and revenue concepts using generally agreed descriptions

as yardstick.

3.2 Concept of Educational Costs

Cost and expenditures cost, to a non professional, is narrowly defined as the money value incurred in the process of production. However, to the

economist, cost involves not only money spent but also the alternative

forgone in order to produce a given item or service. The Dictionary of

Modern Economics (1985) defined cost as a measure of what must be

surrendered or given up in order to acquire, obtain or produce an item.

On the other hand, expenditure is viewed as the amount of resources that are directly spent or expended on the procurement of goods and

services.

Expenditure on education from the budgetary sense, therefore, is the

monetary value of resources assigned to educational institutions during a given year. Nevertheless, this does not reflect the ‘true cost' or “real

cost'' of education. The 'true cost' or 'real cost'' of education is the alternative opportunities that have to be sacrificed or forgone in the

process of providing education services. For example, the opportunity cost or real cost of building a new university is the alternative projects

that are forgone such as health, road, telecommunication, building technical schools, primary schools, etc. Thus, “cost in education

represents the value of all resources, in terms of money and sacrifice, in

terms of money and sacrifice, used to accomplish an educational

project” (page? 1988). Indeed, the inputs of education can be measured

in terms of money of real resources that are used up in the educational

process, such as time of students and teachers, and other staff and

books, materials, equipment, and buildings, all of which have alternative uses.

3.3 Types of Educational Cost Analysis

Three groups of decision makers are involved in the production,

consumption, or funding of educational services. These are as follows.

i. The institutions; as represented by schools at all levels.

ii.

The households; as represented by private individuals and their

parents.

iii. The society; as represented by the government at all levels.

It is on the basis of the above that cost in education falls into three broad categories: institutional costs, private cost and social costs.

1. Institutional Costs

These are costs incurred by the institutions (educational) in the process of carrying out their activities. These consist of capital costs (expenses on durable items: building, furniture, electricity and water installation, land, equipment etc) and current or recurrent costs (expenses on consumable items: teacher and non-teacher salaries and allowances, maintenance, books and stationery, transport, scholarships, etc).

2. Private Costs

These refer to the expenses by the individual students, their parents’

guardians or their sponsors in the process of undergoing formal education. These consist of expenditures on tuition fees, books, accommodation, transport, uniform, etc. This is in addition to the opportunity costs of schooling in the forms of forgone productive

contributions to family income and/or income earnings.

3. Social Costs

These refer to the costs borne by the society, represented by the cost incurred by the Federal, State and Local governments in the process of providing education for citizens. Technically, it is private cost plus

institutional cost less the value of scholarship and tuition cost.

Longe (1982) provides a set of equations based on the above classification of cost of education thus:

Total cost (T) = Where:

P + S + U

Private cost (P) = (X1 + X2 + X3) Social cost (S) = (P + U – X9 – X10) Institutional cost (U) = (Q+R)

And where:

Current cost (F) =

Capital cost (Q) =

(X4+X5+X6) (X7 + X8)

And where X1, X2..., X10 are variables:

X1 =

X2 = X3 =

School fees

Uniform expense

Transportation expense

X4 =

X5 = X6 = X7 = X8 = X9 = X10 =

Salaries Supplies Maintenance Buildings Equipment

Scholarships

Tuition fees

4. Direct and Indirect Costs

The direct cost of education is the amount of money expended in the production and purchase of educational services. It refers to the direct

money expenditure on education by the private individuals (direct private cost), institutions (direct institutional cost) and the government (direct social cost). These costs include expenditure on books, transport, uniform, tuition, salaries and allowances of staff, equipment

and building.

On the other hand, indirect costs of education are real costs or opportunity costs of education. They may be incurred by the private individual (student) who determines to undertake an educational programme, or by the government that decides to provide educational training programme for its citizens. Indirect private cost is the value of the income or earnings forgone by the student while in school, less the

tax he would have paid if he had earned the income. Indirect social cost, on the other hand, is the value of the contribution of the students to

the economy if he was working and this is measured by the gross

income or earnings forgone by the student because he is in school.

Thus indirect private cost is income forgone after tax, while indirect social cost is income forgone before tax.

5. Capital Costs and Recurrent Costs

Recurrent costs represent all expenditures on 'consumable' items, which bring immediate or short-term benefits and have to be regularly

renewed, hence the term “Current Costs” or “Operating Costs”.

Expenditures on personnel services and summable supplies that are rendered or used up within one fiscal year (book, stationery, fuel, etc)

are current in nature.

On the other hand, capital costs involve expenditure on the procurement

of durable assets such as buildings, equipment or land, which are

expected to yield benefits over a long period. They relate to more

durable items that render useful services over a long period of years if

properly maintained (hence major repairs and maintenance are, strictly

speaking, items of capital costs since they prolong the useful life of

capital items).

The measurement of both capital and recurrent costs may be in term of

actual or current prices, or in terms of constant price level. An analysis of educational expenditure trends, for example, may be concerned either

with trends in actual expenditure or expenditure expressed in terms of constant purchasing power. This is necessary in order to give

allowance for inflation/deflation.

3.4 Educational Cost Production Function

Cost function is a mathematical and/or graphical representation/description of the relationship between cost and the level of activity (output). In education, cost function shows the relationship between costs of education and the number of students enrolled or number of graduates. The analytical device of the cost function is used as a convenient way to represent the dependence of costs on output or scale and to illustrate the relationship among total costs, Average costs

and Marginal costs.

Total Cost (TC)

These consist of the costs of all resources used at any particular scale of

operation. In actual empirical studies, TC may refer to total recurrent expenditure, while in other studies; capital costs may be included in

measuring. I

TC. In the same vein, total cost consists of the summation of fixed costs (FC) and Variable costs (VC); that is, TC = FC + VC.

Indeed, TC is a function of the level of output or scale of activity i.e.

(TC = f (X). For example, it is obvious that a school with 500 pupils will incur greater costs than one with only 100 pupils. Likewise, a university department with 50 students will incur lower costs than one

teaching 120 students in the same subject, ceteris paribus.

Fixed Costs (FC)

These are expenditures on items, which do not vary as output varies.

These consist of expenditure on classroom, chalkboard, tables and desks. They include expenditure that must be incurred irrespective of

pupil of student numbers, hence the term “set-up costs”. For instance,

at the construction stage of a school, the level of activity or output is zero but expenses have to be incurred on buildings and fittings which represent the FC, or “set-up costs”. More so, a particular building in a

school may accommodate varying number of students until the

maximum capacity is reached. Whatever the number of students (who will eventually become the output) housed in such building, the cost

will not change. However, the cost of maintenance is not included here

since this could be done to the maintenance cost. Fixed cost is incurred

every year whether students are admitted or not. That is why it is also referred to as unavoidable cost.

Variable Costs (VC)

These are expenditure on items, which vary with output on the short run. Such items include chalk and stationery. The magnitude of VC obviously depends on the scale of activity. It should be noted that TC is

to a larger extent included by VC than FC since the former changes as output changes. This also applies to the short run situation, where some factors are variable. Where the students’ population rises, with no change in educational technology, more teachers will be needed for the additional classrooms to be created. The cost of employing more teaching personnel can be viewed as variable cost since it changes with

enrolment.

Average Cost (AC) or Unit cost per Student

Average cost or Unit cost is the total cost of producing a given level (or annual rate) of output divided by the number of units of output produced. The unit cost per student is the total cost in a given period either for the whole system, or more likely, for some particular part of

it, divided by the number of students in the same education category. In other words, it measures the cost of educating one pupil or student.

Stated mathematically: AC = TC X Where:

Marginal Cost (MC)

AC = Average or unit cost

TC = Total Cost

X = number of students.

This is the change (either increase or decrease) in total cost resulting from changes in output by one unit. Marginal cost is the additional cost

incurred when one additional student is enrolled, hence the term 'incremental cost'. Indeed, the MC of one unit of output is the extra expenditure incurred when one additional unit is produced and the result is a marginal increase in total output. The marginal cost of education is measured by the increase in TC which occurs as a result of

increasing enrollment by one unit.

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