Financial Management and Business Data Analytics · Risk and Return

Concept of Risk and Return in Financial Management

Updated 10 October 2026 · Fact-checked

Return is the gain from an investment, as income plus price change, relative to what you invested. Risk is the chance that the actual return differs from what you expected. The risk-return trade-off says higher expected return normally needs you to accept higher risk. Compare return per unit of risk before choosing.

Understand Concept of Risk and Return

Return is what you earn from an investment. It has two parts: income received (interest, dividend) and the change in price (capital gain or loss). You usually express it as a percentage of the amount invested.

Risk is the possibility that the actual return will differ from the return you expected. It covers bad outcomes and good surprises. In finance, the more widely the possible returns are spread, the riskier the investment. A bank fixed deposit has a narrow spread. An equity share has a wide one.

Expected return is a forward-looking figure. It is the probability-weighted average of the possible returns. Realised return (also called actual or historical return) is what the investment actually earned over a past period. Expected return guides a decision. Realised return tells you what happened. The two rarely match exactly, and that gap is the risk.

The risk-return trade-off says investors want higher return and lower risk, but the market rarely offers both together. To get a higher expected return, you normally have to accept more risk. A risk-averse investor needs extra return, called a risk premium, as payment for taking on more risk. The risk premium is the expected return on a risky asset minus the risk-free return.

Risk is split into two kinds. Systematic risk comes from factors that affect the whole market, such as interest rate changes, inflation or recession. It cannot be removed by diversification. Unsystematic risk is specific to a company or industry, such as a strike or a product failure. Diversification can reduce it. Study the two kinds in detail under the linked topic.

Key rules to remember

Single-period (holding period) return: Return (%) = [(P₁ − P₀) + D] ÷ P₀ × 100; P₀ = purchase price, P₁ = end price, D = income received (dividend or interest) during the period.
Expected return: E(R) = Σ (Pᵢ × Rᵢ); Pᵢ = probability of outcome i, Rᵢ = return in that outcome. Probabilities must add up to 1.
Risk premium: Risk premium = Expected return on risky asset − Risk-free return; The extra return demanded for bearing risk.
Total risk: Total risk = Systematic risk + Unsystematic risk; Diversification removes only the unsystematic part.
Coefficient of variation (return per unit of risk): CV = Standard deviation ÷ Expected return; Lower CV means less risk per unit of return. Use it when expected returns differ.

How to solve Concept of Risk and Return questions

Use this order for any question on risk and return, whether it asks for a definition, a calculation or a choice between investments.

1Read what is asked: define, calculate, classify risk, or advise on a choice.
2For a calculation, identify whether the data is historical (realised return) or probabilistic (expected return).
3Write the formula first, then substitute. For holding period return, add the income to the price change before dividing by the opening price.
4For expected return, multiply each return by its probability and add. Check that probabilities total 1.
5If asked to compare investments, compute a risk measure for each and, if expected returns differ, the coefficient of variation.
6Classify any named risk as systematic (market-wide) or unsystematic (firm or industry specific), with a one-line reason.
7State the conclusion in words: which investment suits which investor, linking back to the risk-return trade-off.

Quickest way: Quick check for return and choice questions

When to use it: Use this for 2-mark MCQs and short numerical questions where time is tight.

For return questions, compute (price change + income) ÷ opening price. Do not divide by the closing price.
For expected return, do a weighted sum in one line and confirm probabilities add to 1.
For risk classification, ask: does this hit every company in the market? If yes, systematic. If it hits one firm or sector, unsystematic.
For comparing investments with different returns, divide standard deviation by expected return and pick the lower figure.
For theory statements, remember: higher risk needs higher expected return, and only unsystematic risk can be diversified away.

Common mistakes in Concept of Risk and Return

Dividing by the closing price when calculating return.
Students use the latest price because it is the most visible number.
Fix: Return is measured on the amount invested, so always divide by the opening price P₀.
Leaving out the dividend or interest and counting only the price gain.
Return is wrongly treated as capital gain alone.
Fix: Add income received during the period to the price change before dividing.
Treating expected return and realised return as the same thing.
Both are called return and both are percentages.
Fix: Expected return is forward-looking and probability-based. Realised return is historical. Label which one you are computing.
Saying diversification removes all risk.
Students remember that diversification reduces risk and overstate it.
Fix: Diversification reduces only unsystematic risk. Systematic risk remains.
Defining risk only as the chance of loss.
Everyday meaning of risk is danger of loss.
Fix: In finance, risk is variability of returns around the expected return, including better-than-expected outcomes.
Comparing investments only on standard deviation when expected returns differ.
Standard deviation is seen as the complete risk measure.
Fix: Use coefficient of variation, standard deviation ÷ expected return, to compare risk per unit of return.

Worked examples

Example 1

Ravi bought 100 shares of an Indian company at ₹250 per share. During the year he received a dividend of ₹12 per share. At year end the share price was ₹271. Calculate his holding period return.

Show the solution

P₀ = ₹250, P₁ = ₹271, D = ₹12.
Price change = 271 − 250 = ₹21 per share.
Total gain per share = 21 + 12 = ₹33.
Return = 33 ÷ 250 × 100 = 13.2%.
Cross-check on total amounts: investment = ₹25,000; gain = ₹3,300; 3,300 ÷ 25,000 = 13.2%.

Answer: Holding period return = 13.2% (dividend yield 4.8% plus capital gain 8.4%).

Example 2

Two investments have the following possible returns. Investment A: 10% with probability 0.5 and 20% with probability 0.5. Investment B: 0% with probability 0.5 and 30% with probability 0.5. Find the expected return of each and state which is riskier and why.

Show the solution

Expected return of A = 0.5 × 10 + 0.5 × 20 = 5 + 10 = 15%.
Expected return of B = 0.5 × 0 + 0.5 × 30 = 0 + 15 = 15%.
Both have the same expected return of 15%.
Range of A = 20 − 10 = 10 percentage points. Range of B = 30 − 0 = 30 percentage points.
B's outcomes are spread more widely around 15%, so B has greater variability.

Answer: Both have an expected return of 15%. B is riskier because its returns vary more widely around the expected return. With equal expected returns, a risk-averse investor prefers A.

Exam tips

In theory questions, define risk as variability of returns around the expected return, then link it to the risk-return trade-off.
Always state whether a return is expected or realised. Examiners give marks for the correct label.
When classifying a risk event, write the reason: market-wide means systematic, firm-specific means unsystematic.
In calculations, show the formula and the substitution line. Step marks are given even if arithmetic slips.
For MCQs, watch for the word 'all' in options about diversification. It is usually the trap.

Practice questions from Risk and Return

Concept of Risk and Return: frequently asked questions

What is the difference between expected return and realised return?

Expected return is the probability-weighted average of possible future returns. Realised return is the return actually earned over a past period. Expected return is used to decide. Realised return is used to review.

What is the risk-return trade-off?

It is the principle that higher expected return generally comes with higher risk. Investors accept more risk only if they are compensated with a higher expected return, called the risk premium.

What is the difference between systematic and unsystematic risk?

Systematic risk affects the whole market, such as interest rate or inflation changes, and cannot be diversified away. Unsystematic risk is specific to a firm or industry and can be reduced by holding a diversified portfolio.

Is risk the same as loss?

No. In financial management, risk is the uncertainty or spread of possible returns around the expected return. It includes the chance of earning more than expected as well as less.