NISM Certifications · NISM-Series-XV: Research Analyst
Fundamentals of Risk and Return for NISM Research Analyst
Risk and return covers how you measure what an investment earns and how uncertain that earning is. You calculate holding period, arithmetic and geometric returns, measure risk with variance, standard deviation and beta, and link the two through diversification and CAPM. Solve questions by identifying the formula first, then computing step by step.
What this chapter covers
This chapter teaches you how an analyst measures what an investment earned and how uncertain that outcome was. You start with returns: holding period return, arithmetic mean and geometric mean. Then you move to risk: the types of risk, and the numbers used to measure it, namely variance, standard deviation and beta.
The second half joins the two ideas. You learn that higher expected return usually comes with higher risk, how risk-adjusted measures compare investments, how diversification cuts risk, and how CAPM prices the expected return for a given beta.
This chapter supports the rest of the NISM-Series-XV paper. Valuation Principles uses the required return from CAPM as a discount rate. Company Analysis and Industry Analysis use ideas of risk. Technical Analysis and Research Report chapters assume you can read return and volatility figures. If you are solid here, those chapters become easier.
The NISM-Series-XV chapter weightage for Fundamentals of Risk and Return is 7 marks out of 100, so it is a moderate chapter. It is also one of the most predictable. Questions are mostly formula-based or definition-based, and a few clean calculations can be secured with practice. Since wrong answers carry negative marking of 25% of the marks assigned to the question, accuracy matters more than speed. The ideas here (required return, beta, diversification) also reappear in Valuation Principles, so the effort pays twice.
Fundamentals of Risk and Return: topics in the order to study them
- 1Returns: Holding Period, Arithmetic and GeometricReturns are the base measure; every risk and CAPM question assumes you can compute and compare them.
- 2Types of Risk: Systematic and UnsystematicYou need the vocabulary of risk before measuring it, and this split decides what diversification can remove.
- 3Measures of Risk: Variance, Standard Deviation, BetaOnce you know the types, you learn the numbers: standard deviation for total risk and beta for market risk.
- 4Risk-Return Tradeoff and Risk-Adjusted PerformanceThis joins return and risk, and it needs both measures from the earlier topics.
- 5Portfolio Risk, Diversification and CAPMThis is the capstone: it uses beta, systematic risk and required return together, so study it last.
How to prepare Fundamentals of Risk and Return
Treat this as a formula chapter with a theory layer. Build the concepts first, then drill calculations until they are automatic.
- Read each topic once for meaning. Be able to explain in one sentence what holding period return, standard deviation and beta each tell you.
- Write a one-page formula sheet in plain text: holding period return, arithmetic mean, geometric mean, variance, standard deviation, CAPM.
- Practise each calculation with your own small numbers. Redo it without looking until you get the same answer twice.
- Sort risks into systematic and unsystematic with examples, and note which one diversification can reduce.
- Solve mixed MCQs and mark the trap options. Note why each wrong option looks attractive.
- On the last day, read the formula sheet and the definitions only. Do not learn new material.
Common mistakes in Fundamentals of Risk and Return
Using the arithmetic mean when the question asks for compound growth over several periods.
Fix: If the question asks about growth of a sum over multiple periods, use the geometric mean.
Forgetting to include income such as dividends or interest in holding period return.
Fix: Add income received during the period to the numerator before dividing by the beginning value.
Confusing standard deviation with variance, or forgetting to take the square root.
Fix: Compute variance first, then take the square root. Check which one the question asks for.
Saying diversification removes all risk.
Fix: Remember it reduces unsystematic risk only. Systematic risk stays.
Using the market return instead of the market risk premium in CAPM.
Fix: Compute market return minus risk-free rate first, multiply by beta, then add the risk-free rate.
Reading beta as total risk.
Fix: Beta measures only market-related risk. Standard deviation captures total risk.
Last-day revision: Fundamentals of Risk and Return
- Holding period return = (ending value − beginning value + income) ÷ beginning value.
- Arithmetic mean return is the simple average of period returns.
- Geometric mean return compounds returns and reflects actual growth over multiple periods.
- For volatile returns, the geometric mean is lower than the arithmetic mean; they are equal only if all returns are the same.
- Systematic risk comes from market-wide factors and cannot be removed by diversification.
- Unsystematic risk is specific to a company or industry and can be reduced by diversification.
- Variance measures dispersion of returns around the mean; standard deviation is the square root of variance.
- Beta measures sensitivity to market movements; the market has a beta of 1.
- A beta above 1 means the security tends to move more than the market.
- Higher expected return generally compensates for higher risk.
- CAPM: expected return = risk-free rate + beta × (market return − risk-free rate).
- In CAPM, only systematic risk (beta) is rewarded.
Fundamentals of Risk and Return practice questions
- Asset A has a standard deviation of 10% and Asset B has 20%. They are combined 50:50 in a portfolio and their correlation coefficient is 0. …
- A security's returns are plotted against the returns of a broad market index and a regression line is fitted. Which statistic obtained from …
- In the context of measuring investment risk, which statistical measure is computed as the square root of the variance of a security's period…
- A portfolio has an expected return of 15%, a standard deviation of 20% and the risk-free rate is 7%. What is its Sharpe ratio?
- Which of the following best describes systematic risk in an equity portfolio?
- A stock's returns over five years were 10%, 20%, -10%, 30% and 0%. What is the sample standard deviation of these returns?
- A stock has an expected return of 12% under a boom scenario with probability 0.4, 8% under a normal scenario with probability 0.4, and 2% un…
- In the context of risk and return, what does the 'holding period return' of an investment measure?
Fundamentals of Risk and Return in other exams
The same ground in other exams, if you are preparing for more than one or want another angle on it.
Fundamentals of Risk and Return: frequently asked questions
How many marks does Fundamentals of Risk and Return carry in NISM-Series-XV?
The chapter weightage is 7 marks out of 100 in the revised NISM-Series-XV exam. It sits in the middle of the chapter list, below Technical Analysis and Valuation Principles but above several smaller chapters.
Do I need to memorise formulas for this chapter?
Yes, the core ones: holding period return, arithmetic and geometric mean, variance, standard deviation and CAPM. Understand what each one measures so you can pick the right one quickly.
What is the difference between systematic and unsystematic risk?
Systematic risk comes from market-wide factors and affects all securities, so diversification cannot remove it. Unsystematic risk is specific to a company or industry, and diversification can reduce it.
Is there negative marking in this exam?
Yes. NISM-Series-XV has negative marking of 25% of the marks assigned to a question. Skip a question only when you cannot narrow the options.