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NISM Certifications · NISM-Series-XV: Research Analyst · Fundamentals of Risk and Return

A stock has the following possible one-year returns: 20% with probability 0.3, 10% with probability 0.5 and -10% with probability 0.2. What is its expected return?

The expected return is 9%. It is the probability-weighted sum: 0.3 times 20 gives 6, 0.5 times 10 gives 5, and 0.2 times minus 10 gives minus 2, totalling 9 percent. A simple average of outcomes would ignore the probabilities and be wrong.

  1. A6.0%
  2. B9.0%Correct
  3. C10.0%
  4. D13.3%

Explanation

Expected return = 0.3*20 + 0.5*10 + 0.2*(-10) = 6 + 5 - 2 = 9%. The 13.3% option is the simple average of the three returns, ignoring probabilities.

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