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NISM Certifications · NISM-Series-VIII: Equity Derivatives · Introduction to Forwards and Futures

A stock trades at spot Rs 500. The one-month futures is priced using the cost of carry model with a continuous compounding-free simple approach: risk-free rate 12% per annum, no dividends, time to expiry 1 month (use 1/12 year, simple interest). What is the fair futures price?

The fair futures price is Rs 505. Under simple cost of carry, spot Rs 500 is grown at 12% annually for one month, which is 1%, adding Rs 5 of financing cost with no dividends to deduct.

  1. ARs 495
  2. BRs 505Correct
  3. CRs 506
  4. DRs 560

Explanation

Fair price = Spot x (1 + r x t) = 500 x (1 + 0.12/12) = 500 x 1.01 = Rs 505. Rs 495 wrongly subtracts the carry cost, Rs 506 uses an incorrect rate of 1.2%, and Rs 560 applies the full annual rate.

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