Advanced Financial Management · Derivatives Analysis and Valuation

Options Basics and Payoff Strategies for CA Final AFM

Q: What is the difference between intrinsic value and time value of an option?

Intrinsic value is the gain from exercising now: max(S − X, 0) for a call and max(X − S, 0) for a put. Time value is the premium minus intrinsic value. It reflects the chance of further favourable movement and falls to zero at expiry.

Q: What is the difference between a straddle and a strangle?

A straddle uses a call and a put at the same strike. A strangle uses an out-of-the-money put and call at different strikes. A strangle costs less but needs a bigger price move to make a profit.

Q: How do I draw an option payoff diagram in the exam?

Put spot price on the X-axis and profit on the Y-axis. Plot the net profit at each strike and at the breakevens, then join the points with straight lines. Label the strikes, breakevens, maximum profit and maximum loss.

Q: When should I use a covered call and a protective put?

A covered call suits an investor who holds a share and expects little upside. The premium adds income but the upside above the strike is given up. A protective put suits an investor who wants to limit downside while keeping the upside, at the cost of the put premium.

Q: What are bull spread, bear spread and butterfly spread?

A bull spread profits from a rise, a bear spread from a fall, and both limit profit and loss. A butterfly profits most when the price ends near the middle strike. It suits a view that the market will stay in a narrow range.

Updated 5 October 2026 · Fact-checked

An option gives the buyer the right, not the obligation, to buy (call) or sell (put) an asset at a fixed strike price. To solve questions, compute each leg's payoff at expiry, subtract or add premiums, combine the legs, and read off profit, loss and breakeven points.

Understand Options Basics and Payoff Strategies

An option is a contract. The buyer (holder) pays a premium and gets a right. The seller (writer) receives the premium and takes an obligation. A call gives the right to buy at the strike price (X). A put gives the right to sell at X. A European option can be exercised only at expiry. An American option can be exercised any time up to expiry.

The holder exercises only if it helps. So the holder's loss is limited to the premium. The writer's gain is limited to the premium, but the writer's loss can be large. This is why the buyer's and writer's payoffs are mirror images: what one gains, the other loses, before premium.

Intrinsic value is what you would gain by exercising right now. For a call it is max(S − X, 0). For a put it is max(X − S, 0). Time value is premium minus intrinsic value. It is never negative for a normal option and falls to zero at expiry. An option is in the money if intrinsic value is positive, at the money if S = X, and out of the money if exercising would give nothing.

A payoff diagram ignores the premium. A profit diagram includes it. Always draw the profit line by shifting the payoff line down by the premium paid (or up by the premium received). The breakeven is the spot price where profit is zero.

Strategies combine options, and sometimes the underlying share. A straddle (long call + long put, same strike) bets on a big move either way. A strangle does the same with a lower put strike and higher call strike, so it costs less but needs a bigger move. Spreads (bull, bear, butterfly) cap both profit and loss to cut cost. A protective put (share + long put) sets a floor. A covered call (share + short call) earns premium but caps the upside. A collar (share + long put + short call) fixes a range of outcomes.

Key rules to remember

Long call payoff and profit: Payoff = max(S − X, 0); Profit = max(S − X, 0) − Premium; Breakeven = X + Premium. Maximum loss = premium. Profit is unlimited.
Long put payoff and profit: Payoff = max(X − S, 0); Profit = max(X − S, 0) − Premium; Breakeven = X − Premium. Maximum loss = premium. Maximum profit = X − Premium (when S = 0).
Short positions: Short payoff = − (long payoff); Short profit = Premium received − long payoff; Writer of a call has unlimited loss. Writer of a put has loss up to X − Premium.
Intrinsic value and time value: Call intrinsic = max(S − X, 0); Put intrinsic = max(X − S, 0); Time value = Premium − Intrinsic value; S is the current spot price for a live option, and the expiry price at expiry.
Long straddle: Net profit = max(S − X, 0) + max(X − S, 0) − (Call premium + Put premium); Breakevens: X ± total premium. Maximum loss = total premium at S = X.
Long strangle: Buy put at X1 and call at X2 (X1 < X2). Breakevens: X1 − total premium and X2 + total premium; Maximum loss = total premium, for any S between X1 and X2.
Bull call spread: Buy call at X1, sell call at X2 (X1 < X2). Max profit = (X2 − X1) − Net premium; Max loss = Net premium; Breakeven = X1 + Net premium.
Bear put spread: Buy put at X2, sell put at X1 (X1 < X2). Max profit = (X2 − X1) − Net premium; Max loss = Net premium; Breakeven = X2 − Net premium.
Long butterfly (calls): Buy call X1, sell 2 calls X2, buy call X3, with X2 midway between X1 and X3. Max profit = (X2 − X1) − Net premium at S = X2; Max loss = Net premium. Breakevens: X1 + Net premium and X3 − Net premium.
Protective put, covered call, collar: Protective put profit = S − S0 + max(X − S, 0) − Put premium; Covered call profit = S − S0 − max(S − X, 0) + Call premium; Collar = share + long put (lower X) + short call (higher X); S0 is the price at which the share was bought. Protective put floor = X − S0 − Premium.

How to solve Options Basics and Payoff Strategies questions

Use this method for any payoff or strategy question. Work leg by leg, then add.

1List every leg: long or short, call or put, strike, premium, and any share held with its purchase price.
2Mark the key spot prices on a line: every strike, plus the breakevens you will find. Payoff changes slope only at strikes.
3Compute each leg's profit at each key price. For a long option, use payoff minus premium. For a short option, use premium minus payoff.
4Add the legs at each price to get the net profit. Include the share's gain or loss if it is held.
5Find breakevens by setting net profit to zero within each region between strikes.
6State maximum profit, maximum loss and breakevens. Say whether each is limited or unlimited.
7Draw the graph with profit on the Y-axis and spot price on the X-axis. Label strikes, breakevens and the flat portions.
8Add one line of interpretation: the view on the market the strategy suits (bullish, bearish, volatile, range-bound).

Quickest way: Table of net profit at key spot prices

When to use it: Use when the question asks for profit at given expiry prices or asks for maximum profit, loss and breakeven of a multi-leg strategy.

Write the strikes in increasing order and add one price below the lowest and one above the highest.
For each price, write the net premium effect once (paid is negative, received is positive).
Add only the payoffs that are in the money at that price.
Net profit = total payoffs + net premium effect.
Between two strikes the profit is a straight line, so two points give the breakeven by simple proportion.
Beyond the last strike the line is flat or has slope of one per leg. Use it to state unlimited or limited.

Common mistakes in Options Basics and Payoff Strategies

Ignoring the premium when asked for profit.
Students draw the payoff diagram and stop.
Fix: Payoff is before premium. Always subtract premium paid or add premium received before stating profit or breakeven.
Treating time value as premium minus strike, or giving negative intrinsic value.
The max(…, 0) floor is forgotten.
Fix: Intrinsic value is never below zero. Time value = premium − intrinsic value. For an out-of-the-money option, the whole premium is time value.
Wrong sign for the short leg.
The writer's cash flows are reversed and students copy the buyer's signs.
Fix: Treat a short option as the negative of the long payoff, then add the premium received.
Using the wrong strikes in a spread or strangle.
Students mix up which leg is bought and which is sold.
Fix: Bull call spread: buy low strike call, sell high strike call. Bear put spread: buy high strike put, sell low strike put. Strangle: put strike below call strike.
Forgetting the share's own gain in covered call, protective put and collar.
Only the option legs are tabulated.
Fix: Add S − S0 to the option profits. Use the purchase price S0, not the strike, for the share.
Stating a straddle's maximum loss as one premium instead of both.
Students think of one option at a time.
Fix: Long straddle or strangle loss is the sum of call and put premiums. Breakevens move away from the strike by the total premium.

Worked examples

Example 1

A share trades at ₹200. An investor buys a 3-month call with strike ₹210 for a premium of ₹8 and a put with strike ₹210 for a premium of ₹12 (a long straddle). Find the breakeven prices, the maximum loss, and the net profit if the share is at ₹250 and at ₹190 at expiry.

Show the solution

Total premium paid = 8 + 12 = ₹20 per share.
Upper breakeven = 210 + 20 = ₹230. Lower breakeven = 210 − 20 = ₹190.
Maximum loss = ₹20, when the share ends exactly at ₹210 (both options expire worthless).
At ₹250: call payoff = 250 − 210 = 40; put payoff = 0. Net profit = 40 − 20 = ₹20.
At ₹190: call payoff = 0; put payoff = 210 − 190 = 20. Net profit = 20 − 20 = ₹0, which is the lower breakeven.

Answer: Breakevens are ₹190 and ₹230. Maximum loss is ₹20 per share at ₹210. Profit is ₹20 at ₹250 and nil at ₹190. The investor expects a large move in either direction.

Example 2

An investor holds a share bought at ₹100 (now ₹100). To protect it, she buys a put with strike ₹95 for ₹3 and sells a call with strike ₹115 for ₹4 (a collar). Find her net profit per share at expiry if the share price is ₹80, ₹100 and ₹130, and state the maximum profit and loss.

Show the solution

Net option premium = 4 received − 3 paid = +₹1.
At ₹80: share = 80 − 100 = −20; put payoff = 95 − 80 = 15; call payoff to buyer = 0. Profit = −20 + 15 + 1 = −₹4.
At ₹100: share = 0; put = 0; call = 0. Profit = ₹1.
At ₹130: share = +30; put = 0; short call loses 130 − 115 = 15. Profit = 30 − 15 + 1 = ₹16.
Below ₹95 the put offsets all further falls, so the worst case = (95 − 100) + 1 = −₹4.
Above ₹115 the short call offsets all further gains, so the best case = (115 − 100) + 1 = ₹16.

Answer: Profit is −₹4 at ₹80, ₹1 at ₹100 and ₹16 at ₹130. Maximum loss is ₹4 and maximum profit is ₹16 per share. The collar fixes the outcome between these limits at a small net premium inflow.

Exam tips

Always give the final answer in profit terms, with breakevens, maximum profit and maximum loss stated. Marks are given for each.
Draw a neat sketch even when not asked, and label strikes and breakevens. In case-scenario MCQs, check each leg's direction before computing.
Read the view stated in the question (bullish, bearish, volatile, range-bound) and match it to the strategy. Many theory parts ask when to use a strategy.
Check whether premiums are per share and whether the lot size is given. Multiply by lot size only at the end.
Verify answers at one price using a quick table. If the numbers do not match the breakeven you found, recheck the signs.

Practice questions from Derivatives Analysis and Valuation

Options Basics and Payoff Strategies in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Options Basics and Payoff Strategies: frequently asked questions

What is the difference between intrinsic value and time value of an option?

Intrinsic value is the gain from exercising now: max(S − X, 0) for a call and max(X − S, 0) for a put. Time value is the premium minus intrinsic value. It reflects the chance of further favourable movement and falls to zero at expiry.

What is the difference between a straddle and a strangle?

A straddle uses a call and a put at the same strike. A strangle uses an out-of-the-money put and call at different strikes. A strangle costs less but needs a bigger price move to make a profit.

How do I draw an option payoff diagram in the exam?

Put spot price on the X-axis and profit on the Y-axis. Plot the net profit at each strike and at the breakevens, then join the points with straight lines. Label the strikes, breakevens, maximum profit and maximum loss.

When should I use a covered call and a protective put?

A covered call suits an investor who holds a share and expects little upside. The premium adds income but the upside above the strike is given up. A protective put suits an investor who wants to limit downside while keeping the upside, at the cost of the put premium.

What are bull spread, bear spread and butterfly spread?

A bull spread profits from a rise, a bear spread from a fall, and both limit profit and loss. A butterfly profits most when the price ends near the middle strike. It suits a view that the market will stay in a narrow range.