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

A PMS portfolio holds stocks worth Rs 2,00,00,000 with a beta of 1.0 relative to the Nifty. The manager fully hedges by shorting Nifty futures when the Nifty futures price is 20,000 and the lot size is 50. How many lots must be sold?

The manager must sell 20 lots. One Nifty futures lot is worth Rs 10,00,000 (20,000 times 50), and dividing the Rs 2 crore portfolio by this value gives 20 lots for a beta of one.

  1. A20 lotsCorrect
  2. B40 lots
  3. C10 lots
  4. D200 lots

Explanation

Value of one lot = 20,000 x 50 = Rs 10,00,000. Lots needed = 2,00,00,000 / 10,00,000 = 20 lots at beta 1. Selling 40 lots would over-hedge by doubling, and 10 lots would hedge only half.

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