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NISM Certifications · NISM-Series-VIII: Equity Derivatives

Introduction to Options: formula sheet

Full chapter guide

Key formulas

Total premium paid
Total premium = Premium per unit × Lot size
Premium is quoted per unit of the underlying. Multiply by the lot size for the cash outlay.
Call buyer's rights
Long call = right to BUY at strike; Short call = obligation to SELL at strike if exercised
Buyer has the right. Seller (writer) has the obligation.
Put buyer's rights
Long put = right to SELL at strike; Short put = obligation to BUY at strike if exercised
A put writer may have to buy the underlying.
Maximum loss of option buyer
Maximum loss = Premium paid
Applies to both call buyers and put buyers.
Premium received by writer
Writer's maximum profit = Premium received
The writer's loss can be very large, since it depends on how far the price moves against the writer.

Quick revision

  • A call gives the buyer the right, not the obligation, to buy the underlying at the strike price.
  • A put gives the buyer the right, not the obligation, to sell the underlying at the strike price.
  • The buyer (holder) pays the premium; the seller (writer) receives it.
  • The buyer has a right; the seller has an obligation if the buyer exercises.
  • The strike price is the fixed price at which the underlying can be bought or sold on exercise.
  • European options can be exercised only at expiry; American options can be exercised any time up to expiry.
  • Call is in the money when spot is above strike; put is in the money when spot is below strike.
  • At the money means spot is equal or very close to the strike.
  • Intrinsic value of a call = greater of (spot − strike) and 0; of a put = greater of (strike − spot) and 0.
  • The buyer's maximum loss is the premium paid.
  • A buyer of a call expects the price to rise; a buyer of a put expects it to fall.
  • Options are traded in lots, so one contract covers the lot size, not one share.

Common mistakes

  • Saying the option seller has the right to exercise. Fix: Only the buyer holds the choice. The seller must perform when the buyer exercises.
  • Confusing a put buyer with a put writer. Fix: Put buyer has the right to sell. Put writer has the obligation to buy if exercised.

Exam tips

  • Read whether the question asks about the buyer or the writer before reading the options.
  • Expect trap options that swap right and obligation, or call and put.
  • Remember that option buyers pay the premium and no margin, while option writers are required to pay margin (SPAN plus exposure margin).
  • For numerical questions, check whether the answer needs lot size multiplication.
  • Negative marking is 25% of the marks of the question. With four options, a blind guess has a small positive expected value, and every option you eliminate improves your odds. Still, guess only when you have a reason to prefer one option.