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CMA Final · Strategic Financial Management · Risks in Financial Market

A mutual fund holds an equity portfolio worth ₹10 crore with a beta of 1.2 against the Nifty. It wants to bring portfolio beta to zero using Nifty futures. One Nifty futures contract has a value of ₹6,00,000 (index 24,000 × lot size 25). Which position is required?

The fund should short 200 Nifty futures contracts. The beta-adjusted exposure is 1.2 times ₹10 crore, or ₹12 crore, and dividing by the ₹6,00,000 contract value gives 200. A short position offsets market movements and brings portfolio beta to zero.

  1. AShort 200 contractsCorrect
  2. BShort 167 contracts
  3. CLong 200 contracts
  4. DShort 240 contracts

Explanation

To neutralise market risk, short futures worth beta × portfolio value = 1.2 × ₹10 crore = ₹12 crore. Contracts = 12,00,00,000 / 6,00,000 = 200. Short 167 ignores beta. Long 200 would double the market exposure rather than hedge it.

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