Risk and Uncertainty in Managerial Decision Making

Risk means a low probability of an expected outcome. From business decision-making point of view, risk refers to a situation in which a business decision is expected to yield more than one outcome and the probability of each outcome is known to the decision-makers or it can be reliably estimated. For example, if a company doubles its advertisement expenditure, there are four probable outcomes such as; 

(i) its sales may more-than-double,
(ii) they may just double,
(iii) increase in sales may be less than double and
(iv) sales do not increase at all.

The company has the knowledge of these probabilities or has estimated the probabilities of the four outcomes on the basis of its past experience as:
(i) more-than double – 20 percent (or 0.2),
(ii) almost double – 40 percent (or 0.4),
(iii) less than double – 50 percent (or 0.5) and
(iv) no increase – 10 percent (or 0.1).

It means that there is 80 percent risk in expecting more than doubling of sales, and 60 percent risk in expecting doubling of sale, and so on.

There are two approaches to estimating probabilities of outcomes of a business decision, viz.
(i) a priori approach, i.e., the approach based on deductive logic or intuition
(ii) posteriori approach, i.e., estimating the probability statistically on the basis of the past data.

In case of a priori probability, we know that when a coin is tossed, the probabilities of ‘head’ or ‘tail’ are 50/50, and when a dice is thrown, each side has 1/6 chance to be on the top. 

The posteriori assumes that the probability of an event in the past will hold in future also. The probability of outcomes of a decision can be estimated statistically by way of ‘standard deviation’ and ‘coefficient of variation’.

Uncertainty refers to a situation in which there is more than one outcome of a business decision and the probability of no outcome is known nor can it be meaningfully estimated. The unpredictability of outcome may be due to lack of reliable market information, inadequate past experience and high volatility of the market conditions. For example, if a Nepalese firm, highly concerned with population burden on the country, invents an irreversible sterility drug, the outcome regarding its success is completely unpredictable. Consider the case of insurance companies. It is possible for them to predict fairly accurately the probability of death rate of insured people, accident rate of cars and other automobiles, rate of buildings catching fire, and so on, but it is not possible to predict the death of a particular insured individual, a particular car meeting an accident or a particular house catching fire, etc.

The long-term investment decisions involve a great deal of uncertainty with unpredictable outcomes. But, in reality, investment decisions involving uncertainty have to be taken on the basis of whatever information can be collected, generated and ‘guesstimated’. For the purpose of decision-making, the uncertainty is classified as:
(a) complete ignorance and
(b) partial ignorance.

In case of complete ignorance, investment decisions are taken by the investor using their own judgment or using any of the rational criteria. What criterion he chooses depends on his attitude towards risk. The investor’s attitude towards risk may be that of:
(i) a risk averter,
(ii) a risk neutral,
(iii) a risk seeker or risk lover.

In simple words, a risk averter avoids investment in high-risk business. A risk-neutral investor takes the best possible decision on the basis of his judgment, understanding of the situation and his past experience. He does his best and leaves the rest to the market. A risk lover is one who goes by the dictum that ‘the higher the risk, the higher the gain’. Unlike other categories of investors, he prefers investment in risky business with high expected gains.

 Click on the links for more details:          

Marginal efficiency of capital and rate of interest influence the investment decisions | Evaluation of Investment Project by Benefit-Cost Ratio Method

Analysis of the role of marginal efficiency of capital and market rate of interest in investment decision or,
Marginal efficiency of capital and rate of interest influence the investment decisions

 
The marginal efficiency of capital along with rate of interest determines the amount of new investment, which in turn, determines the volume of employment, given the propensity to consume. In the fundamental equation     Y = C + I, given by Keynes, we have seen that income at a time deposits upon consumption and investment, consumption being stable in the short-run and less than unity a gap comes to exist which can be wiped off only by an increase in investment. Investment is an essential requirement for full employment and the key to prosperity in a capitalistic economy.

Marginal efficiency of capital refers to the anticipated rate of profitability of a new capital asset. It is the expected rate of return over cost from the employment of an additional unit of capital asset. Marginal efficiency of capital depends upon the expected rates of return of a capital asset over its lifetime and the supply price of the capital asset.

Marginal efficiency of capital (MEC) and the rate of interest are the two important factors, which affect the volume of investment, and these two must be determined beforehand independently of each other. Marginal efficiency of capital (MEC) is the result of the supply price and the prospective yield of the capital asset. Rate of interest is the price paid for loanable funds and is determined, like any other price, by the demand for and supply of loanable funds. A potential investor will go on weighing the MEC on new investment against the rate of interest. As long as MEC is more than the rate of interest, investment will continue to be made, till the marginal efficiency of capital (MEC) and the rate of interest are equalized. Once the marginal efficiency of capital (MEC) becomes equated to the rate of interest, equilibrium investment is determined. Thereafter, investment has to be increased, either the rate of interest should fall or marginal efficiency of capital (MEC) should increase.

It is true that both MEC and the rate of interest are important determinants of investment. The rate of interest is very important in the effective implementation of fiscal policy. But as a means of increasing private investment, it could be of important if the marginal efficiency of capital were highly elastic. In the Keynesian general theory, attributed fluctuations to the changes in expectations and shifts in the MEC and not to the rate of interest. The relation of the MEC and the rate of interest as determinants of the amount of investment and hence of employment.

The following table depicts clearly the relationship of MEC and the rate of interest in the determination of the inducement to invest,

Supply PriceAnnual ReturnMECRate of InterestEffect on Investment
$ 25.00$ 1.004%4%Neutral
$ 20.00$ 1.005%4%Favorable
$ 25.00$ 1.003%4%Adverse

In this table, it is assumed that the new capital asset in question gives constant return of $ 1,000 annually. The MEC and the rate of interest are given in separate columns, having been determined independently of each other. When MEC (4%), is equal to the rate of interest (4%), the effect on investments is natural; when it is more, the effect is favorable and when MEC is less than the rate of interest, the effect on induced investment is unfavorable.

The position and shape of the investment demand schedule pay a decision role in determining the volume of investment because it shows the extent to which the amount investment changes as a result of changes in the rate of interest. If the demand (MEC) schedule is relatively interest-elastic, a little fall in the rate of interest will lead to a considerable increase in investment.



In the figure (A), below shows an interest-elastic investment demand schedule. When the rate of interest falls from 6% to 4% investment increases from OI to OI’. In figure (B) shows an interest-inelastic investment demand curve. Corresponding to the same fall in the rate of interest from 6% to 4%. Increase in investment II’ is much less.

There has been a lot of controversy on the expansion of interest elasticity of the investment demand schedule. Experience confirms the views that it tends to be interest inelastic especially during depression.

A change in the MEC or in the rate of interest or both induces a change in the level of investment, as shown fig (C). We find that a rise in the MEC is accompanied by a constant rate of interest 4% resulting an increase in the level of investment. Figure (D) further describes the case of rise in the rate of interest from 4% to 5% with no change in the MEC schedule and the level of investment falls from OI to OI’.


Evaluation of Investment Project by Benefit-cost Ratio Method


The benefit-cost ratio is the most popular method of project evaluation. It is the ratio of present value of the stream of net cash flows of a project over its life span to the initial cost of the project.

Under this criterion, a project will be accepted if and only if benefit-cost ratio (BCR) is no less than unity. Thus, both the projects are greater than one. It helps the planning authority for making appropriate investment decisions to achieve optimum measure of allocation of resources by maximizing the difference between present value of benefit and costs of a project. There are various criteria for cost benefit analysis.

(i) B – C,
(ii) B – C / I,
(iii) ∆B / ∆C and
(iv) B / C

Where, B refers benefits, C refers costs; I refers direct investment and refers small change.

B – C shows the difference between benefits (B) and costs (C). This criterion determines the scale of project on the basis of maximizing the difference B and C. The formula, B – C / I shows the total annual returns on a particular investment to the economy as a whole. If the private investment is large, then even high value of B – C / I may be less beneficial to the economy.

The criterion of ∆B / ∆C is the more appropriate than others. ∆B / ∆C = 1 indicates the size of project. The best and effective criterion for the project evaluation is B / C. Under this criterion, the evaluation of project is done on the basis of benefit cost ratio. If the value of B / C = 1, the project is marginal because the benefits occurring from the project just cover the costs. If the value of B / C < 1, it shows the benefits are less than costs and the project is deficit, thus the project is rejected. If the value of B / C > 1, it shows the benefits are more than costs and project is profitable, thus it is selected.

In the criteria, which we discussed above does not account for the time factor. The future benefits and costs cannot be treated at par with present benefit and cost. Hence, project evaluation requires discounting of future benefits and costs because it prefers present for the future.

 Click on the related links for more details: 

Factors Influencing Investment Decision

There are many factors which directly or indirectly influence capital investment decisions besides the availability of funds to invest, profitability of the investment, market for the product, etc. They are discussed below.

Related Topic:


1. Technological Changes

Technological development changes at present is much faster than that at past. The new technology increases the productivity of labor and capital. The selection of new technology depends on the net benefit over the cost of having the technology. Benefits from and cost of new technological change also influences the investment decisions.

2. Competitors’ Strategy

If the competitors are installing new equipment to expand output or to improve quality of their products, the firm under consideration will have no alternative but to follow suit, else it will be in loss. It is, therefore, often found that the competitor’s strategy regarding capital investment plays a very significant role in forcing capital decision of a firm.

3. Demand Forecast

The long-term demand forecast is one of the determinants of investment decisions. If the firm finds market potentials for the product in the long run, the firm will have to take decisions for investment.

4. Outlook of Management

Investment decision depends on the management outlook. If the management is modern and progressive in its outlook, the innovations will be encouraged, whereas a conservative management discourages innovations. Innovations increase the output as well as profit of the firm. The modern and progressive management takes decision to invest without any hesitation.

5. Fiscal Policy

Various tax policies of the government relating the tax concession on prioritized investment, rebate on new investment, method allowing depreciation, deduction allowance etc. also have influence on the capital investment.

6. Cash Flows

Every firm makes a cash flow budget. Its analysis influences capital investment decisions. On the basis of cash flow budget, the firms plan the funds for acquiring the capital assets. The budget also shows the timing of availability of cash flows for alternative investment proposals.

7. Expected Return from the Investment

Investment decisions are mostly done in anticipation of increased return in future. So, it is necessary to estimate future net returns from the investment proposals while evaluating the investment proposals.

8. Non-economic Factors

The factors, which cannot be evaluated in monetary terms, are called non-economic factors. Sometimes the non-economic factors also influence investment decisions. Working environment in the firm, safety measures in the operation of machines, brotherhoods among employees, good relationship between employer and employees etc., influences the firm’s output and also the investment decisions.

 Some Related Links:      

Two Part Tariff Pricing | Should a firm set a high entry fee and low usage fee, or vice versa?

Two part tariff refers to the practice of charging two-part prices by the producer and / or supplier of a goods or services. The term ‘tariff’ stands here for pricing. It can be defined as, “A two part tariff is one in which the consumer must pay a lump sum fee for the right to buy a product.” It is clear that under two-tariff price system, consumers pay a one-time access fee (T) for the right to buy a product, and a per-unit price (P) for each unit they consume. So, the total price for a consumer who pays both entry fee and usage fee will be,

R = T + PX

Where, X are units of product or service X consumed / demanded

A two part tariff is a price discrimination technique in which the price of a product or service is composed of two parts – a lump-sum fee as well as a per-unit charge. In general, price discrimination techniques only appear (take place) in partially or fully monopolistic markets. The main objective of using two part tariff by a firm is to capture more consumer.

A two part tariff is a strategy of price discrimination by firm to capture maximum amount of consumer surplus. The problem for the firm is how to set the entry fee (membership fee) versus the usage fee. The amount of entry fee (membership fee) charged by firms will be different depending on whether the demand is identical or different. A rational firm will set the per unit usage fee above or equal to the marginal cost of production, and below or equal to the price that a firm would charge in a perfect monopoly. Under a condition of competition, the per-unit usage price is set below marginal cost. Basically, it is required that the product or service offered by the firm be identical to all consumers so that price charged may not vary due to differences in production costs of the firm.

Assume that the firm has some market power and it is operating under monopoly. Then the question is: should it set a high entry fee and low usage fee, or vice versa? To see how a firm can solve this problem, we need to know the basic principles involved.

In order to maximize total profits, a monopolist has to charge a usage fee (or per unit price) equal to its marginal cost and initial / entry fee (or membership fee) equal to the entire consumer surplus.

Normally, the concept of two part tariff is applicable in monopoly or monopolistic or oligopoly markets. But economists also argue that two part tariffs may also exist in competitive markets when consumers are uncertain about their ultimate demand.

 Some Related Links: