NISM Certifications · NISM-Series-VIII: Equity Derivatives · Introduction to Forwards and Futures
A stock trades at spot Rs 500. The risk-free rate is 8% per annum (continuous compounding is ignored; use simple interest) and no dividends are expected. What is the fair price of a 3-month futures contract using the cost of carry model F = S(1 + r×t)?
The fair futures price is Rs 510. Using the cost of carry model, spot Rs 500 is grown at 8% for three months, which is 2%, giving 500 multiplied by 1.02. With no dividends, the only adjustment is the financing cost.
- ARs 490
- BRs 510Correct
- CRs 520
- DRs 540
Explanation
F = 500 × (1 + 0.08 × 3/12) = 500 × 1.02 = Rs 510. Rs 520 results from using a 6-month period, and Rs 490 wrongly subtracts the carrying cost. Rs 540 applies the full annual rate for one year.
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