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NISM-Series-X-A: Investment Adviser (Level 1) · Time Value of Money

Concept of Time Value of Money for NISM X-A

Updated 11 October 2026 · Fact-checked

Time value of money means a rupee received today is worth more than a rupee received later, because today's rupee can be invested to earn a return. Inflation, opportunity cost and risk reduce the value of future money. To solve questions, compare amounts at the same point in time using an interest rate.

Understand Concept of Time Value of Money

Time value of money (TVM) is the idea that money today is worth more than the same amount in the future. If someone offers you ₹1,00,000 today or ₹1,00,000 after one year, you should take it today.

There are three main reasons. First, inflation: prices usually rise, so ₹1,00,000 buys less after a year. Second, opportunity cost: money in hand can be invested or used to repay a loan, so waiting means giving up that return. Third, risk: a future payment is uncertain. The payer may delay or default, while money in hand is certain.

The interest rate links today's money and future money. It is the price of waiting. It also pays the lender for inflation and risk. A higher rate means money today is worth even more compared with money later.

This gives two directions. Compounding moves money forward to find a future value. Discounting moves money back to find a present value. You can only compare or add cash flows after bringing them to the same date.

In personal financial planning, TVM is behind goal planning, retirement corpus, loan EMIs, SIPs and choosing between investments. This topic is about the concept. The calculations come in later topics.

Key formulas to remember

Future value (single sum)
FV = PV × (1 + r)^n
r is the rate per period and n is the number of periods. Rate and period must match.
Present value (single sum)
PV = FV ÷ (1 + r)^n
Discounting is the reverse of compounding. A higher r or longer n gives a lower PV.
Approximate real rate
Real rate ≈ nominal rate − inflation rate
A quick approximation. The exact form is (1 + nominal) ÷ (1 + inflation) − 1.
Core rule
Compare cash flows only at the same point in time
Never add or compare rupees from different dates directly.

How to solve Concept of Time Value of Money questions

Use this method for any concept or simple numerical question on time value of money.

  1. 1Read what is asked: the value today (present value) or the value later (future value), or a reason or concept.
  2. 2Mark the timeline: when each cash flow occurs.
  3. 3Identify the rate and match it to the period. Convert annual rates if periods are half-yearly or monthly.
  4. 4Decide the direction: compound forward for future value, discount back for present value.
  5. 5Apply the formula carefully and check that n and r use the same time unit.
  6. 6Sense-check: future value must exceed present value at a positive rate, and present value must be lower than the future sum.
  7. 7For concept questions, link the answer to inflation, opportunity cost, risk or the interest rate, whichever the option names.

Quickest way: Direction and size check

When to use it: Use when options differ clearly and you need to eliminate wrong choices fast.

  1. Ask: am I moving money forward or back in time?
  2. Forward means the answer is larger than the starting sum. Back means smaller.
  3. Remove any option that breaks this direction.
  4. Check if a higher rate or longer time should raise or lower the answer, and remove options that go the wrong way.
  5. For reason-based questions, pick the option naming inflation, opportunity cost or risk, not a fixed or guaranteed factor.

Common mistakes in Concept of Time Value of Money

  • Thinking TVM is only about inflation.

    Inflation is the most familiar reason for money losing value.

    Fix: Remember there are three drivers: inflation, opportunity cost and risk. Even with zero inflation, money today is worth more because it can earn a return.

  • Adding rupees received in different years.

    It feels natural to total the cash flows.

    Fix: Bring each amount to the same date first, then add or compare.

  • Using an annual rate with monthly or half-yearly periods.

    Students copy the rate from the question without checking compounding frequency.

    Fix: Divide the annual rate and multiply the years so that r and n use the same unit.

  • Confusing compounding with discounting.

    Both use (1 + r)^n, so the formulas look alike.

    Fix: Compounding multiplies and gives future value. Discounting divides and gives present value.

  • Assuming a higher discount rate raises present value.

    A higher rate sounds like a larger number.

    Fix: A higher discount rate makes the denominator bigger, so present value falls.

Worked examples

Example 1

You can receive ₹1,00,000 today or ₹1,00,000 after one year. Which is better and why, if you can invest at 8% a year with no risk?

Show the solution
  1. Both amounts are equal in rupees but fall on different dates.
  2. Invest ₹1,00,000 today at 8%: FV = 1,00,000 × 1.08 = ₹1,08,000 after one year.
  3. Receiving ₹1,00,000 a year later gives only ₹1,00,000 at that date.
  4. Today's money gives ₹8,000 more, which is the opportunity cost of waiting.

Answer: Take ₹1,00,000 today. It grows to ₹1,08,000 in a year, so it is worth more than ₹1,00,000 received later.

Example 2

Which of the following best explains why a future payment is worth less than the same sum today: (a) the interest rate is fixed by SEBI, (b) money can be invested to earn a return and future receipts carry inflation and risk, (c) future payments are always taxed, (d) banks only lend for one year?

Show the solution
  1. Option (a) is false. SEBI does not fix one rate for all money.
  2. Option (c) is false. Tax is not the reason for TVM.
  3. Option (d) is irrelevant to the concept.
  4. Option (b) names opportunity cost, inflation and risk, the three drivers of TVM.

Answer: Option (b).

Exam tips

  • Expect direct questions asking for the reasons behind TVM. Learn the three: inflation, opportunity cost and risk.
  • Watch for options with words like always or guaranteed. TVM depends on the rate, so these are often traps.
  • In numerical questions, check that the rate and the number of periods use the same time unit.
  • On a 2-mark caselet question a wrong answer costs more under negative marking, so eliminate by direction (forward or back) before guessing.

Practice questions from Time Value of Money

Concept of Time Value of Money in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Concept of Time Value of Money: frequently asked questions

What is time value of money in personal financial planning?

It is the principle that money today is worth more than the same sum later. Advisers use it to plan goals like retirement or education, by finding how much to save today to reach a future amount.

Why is money today worth more than money tomorrow?

Money today can be invested to earn a return, and it is not exposed to inflation or the risk of non-payment. Waiting costs you these benefits.

Does time value of money exist if there is no inflation?

Yes. Even with no inflation, money today can earn interest, so it has an opportunity cost. Risk of non-payment also reduces the worth of future money.

How are interest rates linked to time value of money?

The interest rate is the price of waiting. It compensates for opportunity cost, inflation and risk, and is used to compound or discount cash flows.