NISM-Series-XXI-A: Portfolio Management Services (PMS) Distributors · Portfolio Management Process

Portfolio Performance Measurement and Evaluation for NISM PMS Distributors

Updated 11 October 2026 · Fact-checked

Portfolio performance measurement checks how much a portfolio earned and how much risk it took. You compute returns (absolute, CAGR, time-weighted, money-weighted), then risk-adjusted measures: Sharpe (return per unit of total risk), Treynor (per unit of beta) and alpha (excess return over what beta predicts).

Understand Portfolio Performance Measurement and Evaluation

Performance measurement answers two questions. How much did the portfolio earn? And was that return good for the risk taken? A manager who earned 18% by taking very high risk is not necessarily better than one who earned 15% with low risk.

Start with returns. Absolute return is the simple percentage gain over the period. CAGR converts a multi-year gain into a yearly compounded rate. Both ignore the timing of money added or withdrawn by the client.

Cash flows matter in PMS because clients can add or withdraw funds. The time-weighted return (TWRR) removes the effect of these flows. It chains the returns of each sub-period, so it judges the manager's skill. The money-weighted return (MWRR), also called the internal rate of return (XIRR when dates are irregular), includes the size and timing of flows, so it reflects the investor's own experience.

Next, risk-adjusted measures. Standard deviation measures total risk. Beta measures sensitivity to the market, which is systematic risk. The Sharpe ratio divides excess return over the risk-free rate by standard deviation. The Treynor ratio divides the same excess return by beta. Jensen's alpha is the return above what the CAPM predicts for the portfolio's beta. A positive alpha means the manager added value.

Use Sharpe when the portfolio is the investor's whole holding, since total risk matters. Use Treynor when the portfolio is one part of a diversified holding, since only market risk matters. Always compare against a suitable benchmark and peers.

Key formulas to remember

Absolute return: (Ending value − Beginning value + Income) ÷ Beginning value × 100; Ignores time. Use for periods up to a year.
CAGR: (Ending value ÷ Beginning value)^(1/n) − 1; n is the number of years. Assumes no interim cash flows.
Holding period return for a sub-period: (End value − Begin value − Cash flow added) ÷ Begin value; Value is measured just before each cash flow.
Time-weighted return: [(1 + r₁) × (1 + r₂) × … × (1 + rₙ)] − 1; Geometric linking of sub-period returns. Not affected by flow size or timing.
Money-weighted return: Rate r at which PV of inflows = PV of outflows (IRR / XIRR); Affected by size and timing of flows.
Sharpe ratio: (Rp − Rf) ÷ σp; Uses total risk (standard deviation).
Treynor ratio: (Rp − Rf) ÷ βp; Uses systematic risk (beta).
CAPM expected return: Rf + β × (Rm − Rf); Required return for the portfolio's beta.
Jensen's alpha: Rp − [Rf + β × (Rm − Rf)]; Positive means outperformance after adjusting for beta.
Tracking error: Standard deviation of (Rp − Rbenchmark); Measures how closely the portfolio follows its benchmark.

How to solve Portfolio Performance Measurement and Evaluation questions

Use this order for any question on performance measurement.

1Read what is asked: a return, a risk measure or a ranking of managers.
2Note the data given: returns, risk-free rate, standard deviation, beta, market return and any cash flows.
3If cash flows are involved, check whether the question wants TWRR (manager skill) or MWRR (investor experience).
4For TWRR, compute each sub-period return, add 1, multiply, then subtract 1.
5For ratios, compute excess return (Rp − Rf) first, then divide by σ for Sharpe or β for Treynor.
6For alpha, compute the CAPM expected return first, then subtract it from the actual return.
7Check units: percentages to decimals, and annual versus periodic figures.
8Choose the answer and check it is reasonable, for example a higher Sharpe means better risk-adjusted return.

Quickest way: Excess return first, then divide

When to use it: Use for ratio and ranking questions with several portfolios.

Subtract Rf from each portfolio return at once.
Divide by σ for Sharpe or by β for Treynor. Round roughly.
Pick the highest value. Do not compute alpha unless asked.
For TWRR, convert each sub-period to a factor like 1.10 or 0.95 and multiply.

Common mistakes in Portfolio Performance Measurement and Evaluation

Dividing raw return by risk instead of excess return over the risk-free rate.
Students forget the numerator is Rp − Rf.
Fix: Always write the numerator as (Rp − Rf) before dividing.
Mixing up Sharpe and Treynor denominators.
Both look alike.
Fix: Sharpe uses standard deviation (total risk). Treynor uses beta (market risk).
Averaging sub-period returns to get TWRR.
Arithmetic averaging feels natural.
Fix: Link returns geometrically: multiply (1 + r) factors, then subtract 1.
Saying TWRR reflects the investor's own experience.
Confusing which measure is affected by flows.
Fix: TWRR removes flow effects and judges the manager. MWRR reflects the investor's timing.
Treating a positive alpha as proof of skill regardless of benchmark.
Ignoring that alpha depends on the chosen benchmark and beta.
Fix: Remember alpha is only meaningful against a suitable benchmark and correct beta.
Using CAGR when interim deposits or withdrawals occurred.
CAGR needs only start and end values, so it looks easy.
Fix: With cash flows, use TWRR or XIRR.

Worked examples

Example 1

A PMS portfolio has a return of 16%, a standard deviation of 10% and beta of 1.2. The risk-free rate is 6%. Calculate the Sharpe and Treynor ratios.

Show the solution

Excess return = 16% − 6% = 10%.
Sharpe = 10 ÷ 10 = 1.0.
Treynor = 10 ÷ 1.2 = 8.33 (in percentage points per unit of beta).

Answer: Sharpe ratio = 1.0; Treynor ratio ≈ 8.33.

Example 2

A client invests ₹10,00,000. After 6 months the value is ₹11,00,000 and the client adds ₹1,00,000. At the end of year 1 the value is ₹13,20,000. Find the time-weighted return for the year.

Show the solution

Sub-period 1 return = (11,00,000 − 10,00,000) ÷ 10,00,000 = 10%.
After adding ₹1,00,000, the starting value of sub-period 2 = ₹12,00,000.
Sub-period 2 return = (13,20,000 − 12,00,000) ÷ 12,00,000 = 10%.
TWRR = (1.10 × 1.10) − 1 = 1.21 − 1 = 21%.

Answer: Time-weighted return = 21%.

Exam tips

Expect direct formula questions: which ratio uses beta, which uses standard deviation.
Remember the use case: Sharpe for a standalone portfolio, Treynor for one part of a diversified portfolio.
Questions on TWRR versus MWRR usually test who controls the cash flows. The manager does not, so TWRR is fairer for judging the manager.
This paper has negative marking of 10% of the marks for a question. Eliminate options using the formula definitions before guessing.

Practice questions from Portfolio Management Process

Portfolio Performance Measurement and Evaluation in other exams

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

Portfolio Performance Measurement and Evaluation: frequently asked questions

What is the difference between Sharpe ratio and Treynor ratio?

Both measure excess return over the risk-free rate per unit of risk. Sharpe divides by standard deviation, which is total risk. Treynor divides by beta, which is market risk only.

Why is TWRR preferred to evaluate a portfolio manager?

The manager does not control when the client adds or withdraws money. TWRR removes the effect of those flows, so it reflects the manager's decisions.

What does a positive alpha mean?

The portfolio earned more than the CAPM predicted for its beta. It suggests the manager added value beyond market exposure, relative to the chosen benchmark.

When is MWRR or XIRR used?

It is used to show the return the investor actually earned, given the size and timing of their deposits and withdrawals.