Capital Allocating Decisions: Time Value of Money

 

Ankita Kashyap

5th Year student, Hidayatullah National Law University, Raipur, (C.G.)

*Corresponding Author E-mail: ankitakashyap.hnlu@gmail.com

 

 

ABSTRACT:

Any investment decision depends upon the decision rule that is applied under circumstances. However, the decision rule itself considers following inputs: cash flows, project life and discounting factor.  

 

The effectiveness of the decision rule depends on how these three factors have been properly assessed. Estimation of cash flows requires immense understanding of the project before it is implemented; particularly macro and micro view of the economy, polity and the company. Project life is very important, otherwise it will change the entire perspective of the project. So great care is required to be observed for estimating the project life. Cost of capital is being considered as discounting factor which has undergone a change over the years. Cost of capital has different connotations in different economic philosophies. Particularly, India has undergone a change in its economic ideology from a closed- economy to open-economy. Hence determination of cost of capital would carry greatest impact on the investment evaluation.

 

In this paper, we are going to analyse the time value of money. We study how investors and borrowers interact to value investments and determine interest rates on loans and fixed income securities. Interest is paid by borrowers to lenders for the use of lenders’ money. The level of interest charged is typically stated as a percentage of the principal (the amount of the loan). When a loan matures, the principal must be repaid along with any unpaid accumulated interest. In a free market economy, interest rates are determined jointly by the supply of and demand for money. Thus, lenders will usually attempt to impose as high an interest rate as possible on the money they lend; borrowers will attempt to obtain the use of money at the lowest interest rates available to them. Competition among borrowers and competition among lenders will tend to lead interest rates toward some competitive level. Factors affecting the levels of interest rates will do so by affecting supply and demand conditions for money. Among these factors are inflation rates, loan risks, investor inter-temporal monetary preferences (how much individuals and institutions prefer to have money now rather than have to wait for it), government policies, and the administrative costs of extending credit.

 

KEY WORDS: Financial Decisions, Capital budgeting, Cash Flows, Time-value of Money.

 

 


INTRODUCTION:

A BRIEF INTRODUCTION TO CAPITAL BUDGETING

1.1. Meaning and Concepts

Capital budgeting is commonly referred to as a fixed- asset management, when integrated with the financial manager’s goal of attaining proper combinations of assets (i.e. optimal asset mix ) fixed assets assume a great deal of significance . Fixed assets are also frequency termed as the ‘earning assets’ of the firm since they usually generate large   returns. 1

 

Such return is contrary to the limited earning power of and returns from short term assets.

 

It is the decision –making process by which the firms evaluate the purchase of major fixed assets. It involves firm’s decision to invest its current funds for addition, disposition, modification and replacement of long-term or fixed assets. Capital budgeting decision involve the entire process of decision making relating to acquisition of long-term assets whose returns are expected to arise over a period beyond one year, planning and control of capital expenditures is a major decision area in any organisation. Its basic features can be summarised as follows2:

(i)      It has the potentially of making large anticipated profits

(ii)    It involves a high degree of risk

(iii)   It involves a relatively long-term period between the initial outlay and the anticipated return.

 

1.2. Principles of Capital Budgeting

Capital budgeting has five principles that play a crucial role in the allocation of money and the process of capital budgeting.  The five principles are; (1) decisions are based on cash flows, not accounting income, (2) cash flows are based on opportunity cost, (3) The timing of cash flows are important, (4) cash flows are analyzed on an after tax basis, (5) financing costs are reflected on project’s required rate of return.

 

1.3. Kinds of Capital Budgeting Decisions

Since capital budgeting includes the process of generating, evaluating, selecting and following up on capital expenditure alternatives, allocation of financial resources should be made by the firm to its new investment projects in the most efficient manner.3 A firm may adopt the following three types of capital budgeting decisions:

 

(i) Mutually Exclusive Projects

It means if a firm accepts one project, it may rule out the necessity for other, i.e. the alternatives are mutually exclusive and only one is to be chosen.

 

(ii) Accept- Reject Decisions

The proposals which yield a higher rate of return in comparison with a certain rate of return or cost of capital are accepted and naturally, the others are rejected. For example, if the minimum acceptable return from a project is say 10%, after tax and an investment proposal which shows a return of 12%, may be accepted and another project which gives a return of 8% only may be rejected.

 

In other words, using Net Present Value Method Criterion an investment opportunity will be accepted if NPV>0, or, the same will be rejected if NPV< 0.

 

That is, all independent projects are accepted under this criterion. It is to be noted that independent projects are those which do not compete with one another, i.e. the acceptance of one precludes the acceptance of other. At the same time, those projects which will satisfy the minimum investment criterion should be taken into consideration.

 

(iii) Capital Rationing Decision

Capital rationing is normally applied to situations where the supply of funds to the firm is limited in some way. As such, the term covers many different situations ranging from that where the borrowings and lending rates faced by the firm differ to that where the funds available for investments are strictly limited. 4

 

In other words, it occurs when a firm has more acceptable proposals than it can finance. At this point, the firm ranks the projects from highest to lowest priority and as such, a cut-off point is considered.

 

Naturally, those proposals which are above the cut-off point will be accepted and those which are below the cut-off point are rejected, i.e. ranking is necessary to choose the best alternatives.5

 

1.4 Capital Budgeting Techniques

time value of money

Money has time value. 6 A rupee today is more valuable than a year hence. It is on this concept “the time value of money” is based. The recognition of the time value of money and risk is extremely vital in financial decision making. Most financial decisions such as the purchase of assets or procurement of funds, affect the firm’s cash flows in different time periods. For example, if a fixed asset is purchased, it will require an immediate cash outlay and will generate cash flows during many future periods. Similarly if the firm borrows funds from a bank or from any other source, it receives cash and commits an obligation to pay interest and repay principal in future periods. 7

 

 


 

The firm may also raise funds by issuing equity shares. The firm’s cash balance will increase at the time shares are issued, but as the firm pays dividends in future, the outflow of cash will occur. Sound decision-making requires that the cash flows which a firm is expected to give up over period should be logically comparable. In fact, the absolute cash flows which differ in timing and risk are not directly comparable. Cash flows become logically comparable when they are appropriately adjusted for their differences in timing and risk. The recognition of the time value of money and risk is extremely vital in financial decision-making. If the timing and risk of cash flows is not considered, the firm may make decisions which may allow it to miss its objective of maximising the owner’s welfare. The welfare of owners would be maximised when Net Present Value is created from making a financial decision. It is thus, time value concept which is important for financial decisions.8

Thus, we conclude that time value of money is central to the concept of finance. It recognizes that the value of money is different at different points of time. Since money can be put to productive use, its value is different depending upon when it is received or paid. In simpler terms, the value of a certain amount of money today is more valuable than its value tomorrow. It is not because of the uncertainty involved with time but purely on account of timing. The difference in the value of money today and tomorrow is referred as time value of money.9

 

2.1. REASONS FOR TIME VALUE OF MONEY

Money has time value because of the following reasons:

1. Risk and Uncertainty: Future is always uncertain and risky. Outflow of cash is in our control as payments to parties are made by us. There is no certainty for future cash inflows. A cash inflow is dependent out on our Creditor, Bank etc. As an individual or firm is not certain about future cash receipts, it prefers receiving cash now.

 

2. Inflation: In an inflationary economy, the money received today, has more purchasing power than the money to be received in future. In other words, a rupee today represents a greater real purchasing power than a rupee a year hence.

 

3. Consumption: Individuals generally prefer current consumption to future consumption.

 

4. Investment opportunities: An investor can profitably employ a rupee received today, to give him a higher value to be received tomorrow or after a certain period of time. Thus, the fundamental principle behind the concept of time value of money is that, a sum of money received today, is worth more than if the same is received after a certain period of time.

 

For example, if an individual is given an alternative either to receive Rs.10,000 now or after one year, he will prefer Rs.10,000 now. This is because, today, he may be in a position to purchase more goods with this money than what he is going to get for the same amount after one year. Thus, time value of money is a vital consideration in making financial decision. Let us take some examples:

 

EXAMPLE 1: A project needs an initial investment o Rs. 1,00,000. It is expected to give a return of Rs. 20,000 per annum at the end of each year, for six years. The project thus involves a cash outflow of Rs. 1,00,000 in the ‘zero year’ and cash inflows of Rs. 20,000 per year, for six years. In order to decide, whether to accept or reject the project, it is necessary that the Present Value of cash inflows received annually for six years is ascertained and compared with the initial investment of Rs. 1,00,000.

 

The firm will accept the project only when the Present Value of cash inflows at the desired rate of interest exceeds the initial investment or atleast equals the initial investment of Rs. 1, 00,000.

 

EXAMPLE 2: A firm has to choose between two projects. One involves an outlay of Rs. 10 lakhs with a return of 12% from the first year onwards, for ten years. The other requires an investment of Rs. 10 lakhs with a return of 14% per annum for 15 years commencing with the beginning of the sixth year of the project.

 

In order to make a choice between these two projects, it is necessary to compare the cash outflows and the cash inflows resulting from the project. In order to make a meaningful comparison, it is necessary that the two variables are strictly comparable. It is possible only when the time element is incorporated in the relevant calculations. This reflects the need for comparing the cash flows arising at different points of time in decision-making.

 

COMPUTATION OF TIME VALUE OF MONEY

The time value of the money may be computed in the following circumstances:

(a)     Future value of a single cash flow

(b)    Future value of an annuity

(c)     Present value of a single cash flow

(d)    Present value of an annuity.

 

TIME-ADJUSTED OR DISCOUNTED CASH FLOWS OR, SOPHISTICATED CAPITAL BUDGETING TECHNIQUES

3.1. Net Present Value Method

This is generally considered to be the best method for evaluating the capital investment proposals. In case if this method cash inflows and cash outflows associated with each project are first worked out. The present value of these cash inflows and outflows in then calculated at the rate of return acceptable to the management this rate of return is considered as the out-off rate and is generally determined on the basis of cost of capital suitably adjusted to allow for the risk element involved in the project. The working capital is taken as cash out flow in the year the project starts commercial production.

 

The net present value (NPV) is the difference between the total present value of future cash inflows and the total present value of future cash inflows and future cash outflows.

 

In case of ranking of mutually exclusive proposals, the proposal with the highest positive NVP is given the top priority and the proposal with the lowest positive NPV is assigned the lowest priority. The proposals with negative NPV should be rejected. However, if NVP is ‘0’ then firm may be indifferent between acceptance and rejection of the proposal. 10

 

3.2. Profitability Index (PI)

PI is defined as the benefits (in present value terms) per rupee invested in the proposal. This technique which is a variant of the NPV technique, is also known as benefit-cost ratio, or present value index the PI is based upon the basis concept of discounting the future cash flows and is ascertained by comparing the present value of the future cash inflows with the present value of the future cash outflows. The PI is calculated by dividing the former by the latter.

 

3.3. Internal Rule of return (IRR)

This technique is also known as yield on investment, marginal productivity of capital, marginal efficiency of capital, rate of return, and time-adjusted rate of return and so on. It also considers the time value of money by discounting the cash flow streams, like NPV. While computing the required rate of return and finding out present value of cash flows-inflows as well as outflows- are not considered. But the IRR depends entirely on the initial outlay and the cash proceeds of the projects which are being evaluated for acceptance or rejection. It is, therefore, appropriately referred to as internal rate of return. The IRR is usually the rate of return that a project earns. 11

 

Internal rate of return is the rate at which the sum of discounted cash inflows equals the sum of discounted cash outflows. In other words, it is the rate which discounts the cash flows to zero. In other words, the internal rate of return (IRR) is the discount rate that equates the NPV of an investment opportunity with Rs.0 (because the present value of cash inflows equals the initial investment). It is the compound annual rate of return that the firm will earn if it invests in the project and receives the given cash inflows.12

 

3.4. Conflicts in results in NPV and IRR

NPV and IRR methods may give conflicting results in case of mutually exclusive projects, i.e., projects where acceptance of one world result in non-acceptance of the other such conflict of result may be due to any one or more of the flowing reasons:

(i)      The projects require different cash outlays

(ii)    The projects have unequal loves.

(iii)   The projects have different patterns of cash flows.

 

A comparison between the two may be attempted as follows:

 

(a) Advantage of IRR over NPV:

IRR may be considered superior to the NPV for the following reasons :

(i)      IRR gives percentage return while the NPV gives absolute return.

(ii)    For IRR, the availability of required rate of return is not a pre-requisite while for NPV it is must.

 

(b) Advantage of NPV over IRR:

The NPV is said to have superiority over IRR for

i)       NPV shows expected increase in the wealth of the shareholders.

ii)      NPV gives clear cut accept-reject decision rule, while the IRR may give multiple results also.

iii)     The NPV of different projects are stabilizer while the IRR cannot be added.

iv)     NPV gives better ranking as compare to the IRR.

 

3.5. Comparison of NPV and PI:

The NPV method and PI method will give same acceptance or rejection decision when the projects are independent and there is capital rationing because of the following reason:

(i)      PI will be greater than one, only when NPV will be positive i.e. (PI>1 when NPV +ve)

(ii)    PI will be less than one, only when NPV will be negative i.e. (PI<1 when NPV-ve)

 

3.6. Terminal Value Method (TV):

Under this method, it is assumed that each cash inflow is re-invested in another asset at a certain rate of return and calculating the terminal value of net cash flows at the end of project life. In short, the NCF and the outlay are compounded forward rather than backward by discounting which is used by NPV method.

 

Acceptance Rule:

From the foregoing discussion it becomes clear that if the value of the total compounded re-invested cash flows is greater than the present value of outflow, i.e. if NCF have a higher terminal value in comparison with the outlay, the project is accepted and vice-versa.

 

The accept-reject rule can, thus, be formulated as under:

(1) If there is a single project:  Accept the project if the terminal value (TV) is positive,

 

(2) If there are mutually exclusive projects: The project will be more profitable which has highest positive terminal value (TV).

 

It can also be stated that if TV is positive, accept the project and if TV is negative, reject the project. It should be remembered that TV method is similar to NPV method. The only difference is that in case of former, values are compounded while in case of latter, values are discounted, of course, both of them will present the same result provided the rate is same.

 

Public investment is an important potential contributor to economic growth and achievement of social development objectives. In addition to the level of investment and the sectoral allocation, the capital budgeting process is an important determinant of the quality of investment projects and their implementation.

 

CONCLUSION AND ANALYSIS:

In this paper, two types of capital budgeting techniques under the assumption of certainty as well as uncertainty have been discussed, highlighting their relative strengths and weaknesses. The investment decision made by managers will determine a number of significant issues like the cash flows generated by the company, the dividends paid out by the company, the market value of the company, the survival of the company etc. Many managers talk about the “gut feel”, or special expertise, that enables them to say a project should be undertaken even though it does not appear to have a positive NPV. It is difficult to quantify their value, so the “gut feel” approach is often simply to “guesstimate” that the project is profitable and then to go ahead with it. In fact, the use of capital budgeting techniques allow for much more informed judgments with the caution that their application does become more problematic in a period of rapid technological and economic change. In such a situation, some form of computer based simulation approach may well turn-out to be of great practical use. Though there are other flexible techniques but it cannot replace the standard capital budgeting techniques (eg. NPV) rather it expands on and improves the insights of strategic valuation. However, virtually all capital budgeting methods are analyzed by computer, so it is easy to calculate and list all the decision measures, because each one provides decision makers with a somewhat different piece of relevant information.

 

By analysing the above chapters discussed in this paper, we can conclude the following:

1.      For a given rate of return, we can determine the value at some point in the future of an investment made today by calculating the future value of that investment.

2.      We can determine the current worth of a future cash flow or series of cash flows for a given ;rate of return by calculating the present value of the cash flow(s) involved.

 

The fundamental concepts of finance are on the one hand investors who seek a good return on invested capital and on the other firms that are looking for capital and are prepared to pay for it. The highly-developed capital markets match up these two groups with a wide variety of financial instruments that meet the needs of market participants.

 

 

Common sense tells us that “money today is worth more than money tomorrow” and worth substantially more than the same amount of money to be received in 1 or 5 years from now. We can make a rational calculation of the value today by using the present value formula. The present value formula is just a rearrangement of the future value formula that enables us to compute the effect of compounding interest over several time periods.

 

REFERENCES:

1.       http://mathworld.wolfram.com/capitalbudgeting.html

2.       Chandra Prasanna, Financial Management (Theory & Practice), 6th ed., Tata Mcgraw-Hill Publishing Co. Ltd., pg. 350-351

3.       McMENAMIN JIM, Financial Management (An Introduction), OXFORD University Press, pg. 408-409.

4.       http://en.wikipedia.org/w/index.php?title=financedecision(finance_theory)&oldid=572074510

5.       http://newbusinessplaybook.com/corpratedecision/4301389

6.       Time impacts the value of money by an individual. For example, a dollar received today is of more value than a dollar received at some future point in time. This difference in value is equalized by the use of an interest rate.

7.       http://en.wikipedia.org/w/index.php?title=time value of money (finance_theory)&podid=872034902

8.      http://baselineeducation.blogspot.co.uk/2012/time,money and finance management.html

9.       Khan M Y and Jain P K, Financial management(5th Ed.), Tata McGraw-Hill Publishing Company Limited, pg. 12.15

10.     Van Horne, J.C., Financial Management and Policy, Prentice-Hall of India, 1974, p.74

11.     Jain P K & Khan M Y, Financial Management (4th ed),Tata McGraw-Hill Publishing Company Ltd, pg 10.26

12.     Gitman Lawrence J., Principles of Managerial Finance,10th ed., PEARSON Education, pg. 403

 

 

 

Received on 25.01.2014               Modified on 09.02.2014

Accepted on 17.02.2014                © A&V Publication all right reserved

Asian J. Management 5(1): January–March, 2014 page 106-110