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Chapter 16NISM V-DFull chapter

Introduction to Options

In this chapter: Calls and puts; buyer (right) vs writer (obligation); the premium · Moneyness; intrinsic value and time value · Payoff charts for the four basic positions; capped vs unlimited risk · Option pricing basics and the Greeks; implied volatility

~6 min readLayer 2 · NISM CertificationsFree

Options (13 marks) introduce non-linear payoffs. A forward or future is a commitment with a linear, symmetric payoff — unlimited profit and unlimited loss. An option lets a participant ride the upside while capping the downside, in exchange for a premium. This chapter covers calls and puts, the asymmetry between buyer and writer, moneyness, the split of premium into intrinsic and time value, and an intuition for the Greeks.

Foundation

An option gives the holder the right, but not the obligation, to buy or sell the underlying on or before a stated date at a predetermined strike price. The buyer (long) pays the premium up front and holds the right; the writer/seller (short) receives the premium and carries the obligation. A call is the right to BUY at the strike; a put is the right to SELL at the strike. The buyer's maximum loss is the premium paid — full stop, for every option — because they can simply let a worthless option lapse. The writer's profit is capped at the premium received but their loss can be large. This asymmetry is the whole point of options: buyers convert an unknown downside into a known, fixed cost.

Deep Dive

Premium = intrinsic value + time value. Intrinsic value is what the option is worth if exercised now: for a call, max(0, Spot − Strike); for a put, max(0, Strike − Spot). It can never be negative. Time value is the rest of the premium — the market's payment for the chance the option moves further into the money before expiry; it decays to zero at expiry. Moneyness classifies an option by its intrinsic value: in-the-money (ITM) has positive intrinsic value, at-the-money (ATM) has spot ≈ strike, out-of-the-money (OTM) has zero intrinsic value. Style matters in India: index options are European (exercisable only ON expiry) while many stock options are American (exercisable any time up to expiry). A common trap is the phrase "on or before expiry at the prevailing market price" for a European call — European options are exercisable only ON expiry, and at the STRIKE, not the prevailing price.

Advanced

The Greeks measure how the premium reacts to each variable, holding the others fixed. Delta — sensitivity to the underlying's price (roughly, how many rupees the premium moves per ₹1 move in spot; also read as an approximate probability of finishing ITM). Gamma — how fast Delta itself changes. Theta — time decay, the premium a long option loses each day as expiry nears (Theta helps writers, hurts buyers). Vega — sensitivity to volatility; higher expected volatility raises both call and put premiums because bigger swings make the option more likely to pay off. Implied volatility is the volatility figure the market's current premium implies — a forward-looking "fear/greed" gauge. For a SIF using options to hedge, Delta tells you how many option contracts replace a futures hedge, and Theta tells you the daily cost of holding that insurance.

Regulatory references
  • SEBI framework for exchange-traded equity options
  • Exchange contract specifications — European (index) vs American (stock) style
  • Model Risk Disclosure Document (F&O segment)
Common mistakes & pitfalls
  • Thinking the option buyer can lose more than the premium — the buyer's maximum loss is always the premium, for every option.
  • Believing a written put has unlimited loss — its loss is capped at strike − premium (the underlying can only reach zero).
  • Reading a European call as exercisable "on or before" expiry — European options are exercisable only ON expiry.
  • Confusing intrinsic value with premium — premium also contains time value, which decays to zero at expiry.

Frequently asked

Can an option buyer ever lose more than the premium?
No. Because the buyer holds a right and no obligation, the worst case is letting the option lapse worthless — losing exactly the premium paid. This is true for both calls and puts, American and European.
Why does an at-the-money option still have value if its intrinsic value is zero?
Because of time value — the chance it moves into the money before expiry. Premium = intrinsic value + time value; even with zero intrinsic value, the time-value component is positive until expiry.
What does implied volatility tell a distributor?
It is the volatility the current market premium implies — a forward-looking gauge of expected swings. Rising implied volatility lifts both call and put premiums, which is why options bought before a volatile event are dearer.

Practice questions

Click each question to reveal the answer and explanation.

Q 1
The buyer of an option cannot lose more than the option premium paid.
  1. (a)True only for European options
  2. (b)True only for American options
  3. (c)True for all options
  4. (d)False for all options
Correct: (c) True for all options
True for ALL options. The buyer holds a right, not an obligation, so the worst outcome is a worthless option lapsing — a loss of exactly the premium. The European/American baits tempt you to over-qualify a rule that is universal.
Q 2
You sold a put option on a share. The strike price of the put was ₹245 and you received a premium of ₹49. Theoretically, what is the maximum loss on this position?
  1. (a)196
  2. (b)206
  3. (c)0
  4. (d)49
Correct: (a) 196
A written put's worst case is the underlying falling to zero, forcing you to buy at ₹245 while it is worthless. Loss = strike − premium = 245 − 49 = ₹196. (It is capped, not unlimited, because the stock cannot fall below zero.)
Q 3
The current price of XYZ stock is ₹286. The ₹260-strike call is quoted at ₹45. What is the intrinsic value of the call?
  1. (a)19
  2. (b)26
  3. (c)45
  4. (d)0
Correct: (b) 26
Intrinsic value of a call = max(0, Spot − Strike) = 286 − 260 = ₹26. The remaining ₹19 (45 − 26) is time value; ₹45 is the full premium, not the intrinsic value.
Q 4
A European call option gives the buyer the right but not the obligation to buy the underlying at the prevailing market price "on or before" the expiry date.
  1. (a)True
  2. (b)False
Correct: (b) False
False on two counts: a European option is exercisable only ON expiry (not "on or before"), and it transacts at the STRIKE price, not the prevailing market price. The sentence quietly plants both errors.
Q 5
An in-the-money option is ____________.
  1. (a)An option with a negative intrinsic value
  2. (b)An option which cannot be profitably exercised immediately
  3. (c)An option with a positive intrinsic value
  4. (d)An option with zero time value
Correct: (c) An option with a positive intrinsic value
In-the-money = positive intrinsic value. Intrinsic value can never be negative; an option that cannot be profitably exercised now is out-of-the-money; and time value is a separate component unrelated to moneyness.
Educational purposes only. The numbers, returns, and examples used in this lesson are illustrative. Past performance does not guarantee future results. Mutual fund and securities investments are subject to market risks. This lesson is not investment advice; for advice tailored to your circumstances, consult a SEBI-registered Investment Adviser. Read our full disclaimer.