Basic Concept of Time Value
of Money
1.1 INTRODUCTION
Money has time value. 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.
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.
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
CHAPTER
Basic Concept of Time Value
1
of Money
1
2
FINANCIAL MATHEMATICS
of timing. The difference in the value of money today and tomorrow is
referred as time value of money.
1.2 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. Cash inflows 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
` 10,000 now or after one year, he
will prefer
` 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