In the context of investment analysis, which of the following best defines financial 'risk'?

[ A ]The variability or uncertainty of actual returns around the expected return[ CORRECT ]

[ B ]The guaranteed possibility of loss of the entire principal amount invested

[ C ]The commission or fee charged by a distributor for facilitating the investment

[ D ]The tax payable on investment gains at the time of redemption

Takeaway

Option A is correct: risk is the variability or uncertainty of actual returns around the expected return.

Derivation

In finance, 'risk' is formally defined as the degree of variability or uncertainty in an investment's actual return relative to its expected return — commonly measured using statistical tools such as standard deviation. A higher-risk investment does not necessarily mean a certain loss; it means outcomes are more dispersed, which includes the possibility of returns significantly above or below what was expected. This foundational definition underlies every subsequent risk-measurement and risk-profiling concept in investment analysis.

Why the others fail

B — The guaranteed possibility of loss of the entire principal amount invested

Risk does not imply a guaranteed loss — it describes uncertainty of outcome, which includes both the possibility of returns being higher or lower than expected.

C — The commission or fee charged by a distributor for facilitating the investment

Distributor commission is a cost component of investing, entirely distinct from the statistical concept of investment risk.

D — The tax payable on investment gains at the time of redemption

Taxation is a post-return deduction, not a measure of the uncertainty or variability of the investment's return itself.