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NISM Certifications · NISM-Series-XV: Research Analyst · Technical Analysis

A stock closes at Rs 120 on day 1 and day 2 closes at Rs 130. Using a 3-day simple moving average, closes on days 3, 4 and 5 are Rs 125, Rs 140 and Rs 135. What is the 3-day SMA on day 5?

The 3-day simple moving average on day 5 is Rs 133.33. It averages the latest three closes, days 3, 4 and 5, which are Rs 125, Rs 140 and Rs 135. Their sum is Rs 400, and dividing by three gives 133.33.

  1. ARs 133.33Correct
  2. BRs 130.00
  3. CRs 135.00
  4. DRs 126.67

Explanation

The 3-day SMA on day 5 uses days 3, 4 and 5: (125 + 140 + 135) / 3 = 400 / 3 = 133.33. Rs 130 would result from including the wrong days (days 2-4 give 131.67; averaging 125 and 135 gives 130). Rs 126.67 uses days 1-3 (120+130+125=375/3=125, not this), so it is wrong.

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