12.1

Concept of Return of Investment and Return on Investment

This sub‑topic explains the two closely related but distinct concepts – Return on Investment (ROI) and Return of Investment (ROInv). Understanding both is essential for answering calculation‑based questions in the NISM Series XV exam. The section shows definitions, formulas, practical examples, and common pitfalls, helping you choose the right metric in a given scenario.

Learning Objectives

  • 1Define Return on Investment and Return of Investment.
  • 2Distinguish between ROI and ROInv with examples.
  • 3Apply the ROI formula correctly in Indian market contexts.
  • 4Identify exam traps related to these concepts.

Return on Investment (ROI)

Return on Investment (ROI) measures the profitability of an investment relative to its cost. It is expressed as a percentage and answers the question – “How much profit did I earn for every rupee invested?”

In the NISM syllabus, ROI is calculated using the net gain (selling price plus any cash inflows such as dividends) minus the original outlay, divided by the original outlay. The metric ignores the time dimension, making it a simple snapshot of performance over the holding period.

For the exam, ROI often appears in questions that provide purchase price, selling price, and any dividend received. Candidates must quickly compute the percentage and compare it with a benchmark or with other investment options.

  • ROI is useful for quick screening of multiple securities.
  • It does not consider the length of the holding period or the risk profile.
ℹ️Exam trap – ROI vs. profit margin

Students sometimes treat ROI as a profit margin (i.e., profit divided by revenue). Remember, ROI always uses the initial investment cost as the denominator, not the revenue or sales figure.

Formula: Return on Investment (ROI)
(GC)C×100\frac{(G - C)}{C} \times 100

Where:

G= Gross proceeds from the investment (sale price + dividends) in rupees
C= Cost of the investment (initial purchase price) in rupees

Worked Example

Given C = 50,000 and G = 65,000: Step 1: ROI = ((65,000 - 50,000) / 50,000) × 100 Step 2: ROI = (15,000 / 50,000) × 100 Step 3: ROI = 0.30 × 100 = 30 Verification: ((65,000 - 50,000) / 50,000) × 100 = 30.

Return of Investment (ROInv)

Return of Investment (ROInv) refers to the amount of capital that is returned to the investor at the end of the holding period, irrespective of any profit earned. In other words, it is the cash that comes back to you, which may include the original principal and any accrued income.

ROInv is expressed either as a rupee amount or as a percentage of the initial outlay when the exam asks for “total return” that includes both capital recovery and earnings. The concept is common in mutual fund literature where the term denotes the sum of NAV appreciation and dividend distribution that flows back to the investor.

For NISM questions, ROInv is used when the problem statement mentions “total amount received” or “cash inflow at maturity.” Candidates must add the sale proceeds and any interim cash flows before comparing with the original cost.

  • ROInv focuses on cash recovery, not just profit.
  • It is a stepping stone to compute holding‑period return when time‑value adjustments are required.
⚠️Do not mix ROI and ROInv

A frequent mistake is to substitute the ROI formula when the question asks for total cash returned. First verify whether the exam expects profit (ROI) or total cash (ROInv).

Key Differences Between ROI and ROInv

Comparison of Return on Investment and Return of Investment

AspectReturn on Investment (ROI)Return of Investment (ROInv)
DefinitionProfitability percentage over costTotal cash recovered (principal + earnings)
Formula(G - C) / C × 100G / C × 100 (when expressed as % of cost)
What it measuresEfficiency of capital useAmount of money returned to investor
Typical exam usageWhen asked for profit % or to compare efficiencyWhen asked for total amount received or cash flow based return

Step‑by‑Step Calculation of ROI

Step 1: Identify the initial outlay (C). This includes the purchase price, brokerage, and any transaction costs.

Step 2: Determine all cash inflows (G). Add the sale proceeds, dividends, interest, or any other cash received during the holding period.

Step 3: Apply the ROI formula. Subtract C from G, divide by C, and multiply by 100 to obtain a percentage.

Step 4: Verify the result against any benchmark given in the question. If the ROI exceeds the benchmark, the investment is considered favorable.

Typical ROI across Common Indian Asset Classes (Annual %)

NISM‑style Scenario: Calculating ROI

Example: Investor Amit’s Equity Trade

Scenario

Amit buys 100 shares of Reliance Industries at ₹1,500 each, paying a brokerage of ₹500. After 9 months he sells the shares at ₹1,800 each and receives a dividend of ₹20 per share. Compute Amit’s ROI.

Solution

Cost of shares = 100 × 1,500 = ₹150,000. Add brokerage = ₹150,000 + ₹500 = ₹150,500 (C). Sale proceeds = 100 × 1,800 = ₹180,000. Dividend received = 100 × 20 = ₹2,000. Total cash inflow G = ₹180,000 + ₹2,000 = ₹182,000. ROI = ((182,000 – 150,500) / 150,500) × 100 = (31,500 / 150,500) × 100 ≈ 20.94%.

Conclusion

Amit earned an ROI of roughly 21%, which the exam would compare with a benchmark of 15% to deem the trade successful.

Time Horizon and Annualisation

ROI does not incorporate the length of the investment period. When the exam asks for an annualised return, you must convert the holding‑period ROI to a yearly figure using the formula for Compound Annual Growth Rate (CAGR).

CAGR = \left(\frac{V_f}{V_i}\right)^{\frac{1}{n}} - 1, where V_f is the final value, V_i is the initial value, and n is the number of years. This distinguishes a 30% ROI over 1 year from the same ROI over 3 years.

Remember: if the question explicitly mentions “annualised return” or “per annum,” switch from simple ROI to CAGR or an appropriate annualisation method.

ℹ️Memory aid

ROI = Profit ÷ Cost × 100; ROInv = Total cash ÷ Cost × 100. The extra “v” in ROInv reminds you of “value returned.”

Limitations of ROI

ROI ignores the time value of money, so two investments with identical ROI but different holding periods are not comparable without annualisation.

It also does not reflect risk. A high ROI from a speculative stock may be less desirable than a lower ROI from a government bond with minimal risk.

For comprehensive analysis, the NISM syllabus recommends using ROI alongside risk measures such as beta or Sharpe ratio, especially for portfolio‑level questions.

Exam Tips & Quick Recall

1. Always write down what the question asks – profit percentage (ROI) or total cash received (ROInv).

2. List all cash flows before plugging numbers into the formula. Missing a dividend is a common error.

3. Remember to include brokerage and transaction costs in the cost base; they are part of C.

4. When the period is not one year, compute ROI first, then annualise using CAGR if required.

5. Use the mnemonic “R‑O‑I = Return Over Investment” to avoid mixing up the denominator.

Exam Takeaways

  • Return on Investment (ROI) measures profit as a percentage of the initial cost.
  • Return of Investment (ROInv) measures total cash returned, including the original principal.
  • ROI formula: ((G – C) ÷ C) × 100, where G is total cash inflow and C is cost.
  • ROInv expressed as a percentage uses the formula (G ÷ C) × 100; often asked as total amount received.
  • Always include brokerage and transaction costs in the cost component.
  • ROI ignores time; use CAGR to annualise when the exam specifies a per‑annum return.
  • Do not confuse ROI with profit margin – the denominator is always the initial investment, not revenue.
  • Check the question carefully for cash‑flow components (dividends, interest) before calculating.

Practice Questions

8 questions on Concept of Return of Investment and Return on Investment

1

What does Return on Investment (ROI) measure?

2

Which formula correctly expresses Return of Investment (ROInv) as a percentage of the initial outlay?

3

When calculating ROI, which component is used as the denominator?

4

An investor purchases a security for ₹40,000 and later sells it for ₹48,000, receiving a dividend of ₹2,000. Ignoring transaction costs, what is the ROI?

5

Investor Amit bought 100 shares at ₹1,500 each, paid a brokerage of ₹500, sold at ₹1,800 each, and received a dividend of ₹20 per share. What is Amit’s ROI (to two decimal places)?

6

Which of the following is a common exam trap related to ROI?

7

An investment yields an ROI of 30% over a holding period of 3 years. What is the approximate annualised return using CAGR?

8

According to the chart of typical ROI across common Indian asset classes, which class has the highest average ROI?

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