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Strategic Financial Management · Options

Hedging with Options: Equity, Currency and Interest Rate Exposure

Updated 11 October 2026 · Fact-checked

Hedging with options means paying a premium to buy a right, not an obligation, that protects you from an adverse price move while keeping the gain if prices move your way. To solve a question, identify the exposure, choose the right option (put or call), find the protected level, then add the premium.

Understand Hedging with Options and Real-Life Applications

An option gives the buyer a right without an obligation. A call gives the right to buy at the strike price. A put gives the right to sell at the strike price. The buyer pays a premium for this right. That premium is the cost of the hedge, and it is lost if the option expires unused.

The hedging logic is simple. You are exposed to a price falling or rising. You buy an option that pays off exactly when the move hurts you. If you hold shares or a portfolio, you fear a fall, so you buy a put. If you must buy foreign currency later, you fear the foreign currency becoming costlier, so you buy a call on that currency. If you will receive foreign currency, you buy a put on it. If you will borrow at a floating rate, you fear rising rates, so you buy an interest rate cap.

The key difference from futures is that a future locks the price. You are protected against loss, but you also give up the gain. An option sets a worst-case level and leaves the upside open. You pay for that flexibility through the premium. Futures need no upfront premium but carry margin and mark-to-market.

Portfolio insurance uses a protective put. You hold the portfolio and buy index puts. The portfolio value cannot fall below the strike-based floor, less the premium. Since your portfolio does not move one-for-one with the index, you scale the number of puts using beta.

For interest rates, a cap is a series of call options on a rate. It pays when the reference rate is above the cap strike. A floor is a series of put options. It pays when the rate is below the floor strike. A collar combines a bought cap with a sold floor, so the premium received reduces the cost of the cap.

Key rules to remember

Payoff of a long call at expiry
Max(S − K, 0)
S is the price at expiry and K is the strike. Subtract the premium to get the net result.
Payoff of a long put at expiry
Max(K − S, 0)
Used to protect a long position in shares, a portfolio or foreign currency to be received.
Protective put: value at expiry
Portfolio value + Put payoff − Total premium
Below the strike, the portfolio loss is offset by the put gain. Only the premium and any gap between the portfolio and the index are left.
Number of index puts for a portfolio
(Beta × Portfolio value) ÷ (Index level × Lot size)
Round to a whole number of lots. State your rounding. Beta scales the index hedge to your portfolio.
Net cost of a currency hedge with a call option
Effective rate = Lower of (spot at expiry, strike) + Premium per unit
For a payable. For a receivable with a put, effective rate = higher of (spot at expiry, strike) − premium. Add interest on the premium if the question asks.
Interest rate cap payoff per period
Notional × Max(0, Reference rate − Cap strike) × (Days ÷ Day-count basis)
Paid at the end of the period. Use the day-count basis given in the question (360 or 365).
Interest rate floor payoff per period
Notional × Max(0, Floor strike − Reference rate) × (Days ÷ Day-count basis)
Protects a lender or investor in floating-rate assets against falling rates.
Collar net cost
Premium paid on cap − Premium received on floor
Zero-cost collar when the two premiums are equal.

How to solve Hedging with Options and Real-Life Applications questions

Use this order for any options hedging question, whether it is about equity, currency or interest rate exposure.

  1. 1Identify the exposure. Are you long or short the asset? Do you pay or receive foreign currency? Do you borrow or lend at a floating rate?
  2. 2Decide what move hurts you. A fall in price or a rate drop? A rise in price or a rate rise?
  3. 3Choose the option that pays in that case: put for a fall, call for a rise. For rates, a cap for rising borrowing costs, a floor for falling income.
  4. 4Size the hedge. For a portfolio, use beta and lot size. For currency, match the amount and the maturity. For rates, match the notional and the reset dates.
  5. 5Work out the payoff at each scenario price: exercise only if the option is in the money. Show the exercise decision clearly.
  6. 6Add the premium (and interest on it if asked) to get the net result or effective rate.
  7. 7Compare with the unhedged position, and with a forward or future if asked. Show the break-even.
  8. 8State the recommendation in one line, with the worst case and the cost.

Quickest way: Floor and breakeven shortcut

When to use it: Use when the question asks for the protected value, the effective rate or a comparison with a forward or future, and several scenarios are given.

  1. Write the protected level first: strike ± premium. This is the worst case for the buyer of the option.
  2. For each scenario, ask only: is the option in the money? If yes, the result is the protected level. If no, the result is the market price ± premium.
  3. For a comparison with a forward, find the breakeven spot: forward rate − premium (for a payable hedged with a call).
  4. Multiply by the quantity at the end, once.
  5. Write a one-line conclusion: the option is better if the price moves favourably beyond the breakeven.

Common mistakes in Hedging with Options and Real-Life Applications

  • Buying a call when a put is needed (or the reverse).

    Students think about the option name rather than which move hurts the position.

    Fix: Write the exposure and the harmful move first. Fall hurts: put. Rise hurts: call.

  • Ignoring the premium in the final result.

    The payoff looks complete after the exercise decision.

    Fix: Always add or subtract the premium last. Multiply it by the full quantity. If the question gives a rate, add interest on the premium to the expiry date.

  • Using beta wrongly or skipping it when computing the number of puts.

    Students divide the portfolio value by the index value only.

    Fix: Use (Beta × Portfolio value) ÷ (Index level × Lot size). Check whether the question wants the answer in lots or in units.

  • Saying an option locks the rate like a forward.

    Both are called hedges, so the difference gets blurred.

    Fix: A forward or future fixes the price and removes the gain. An option sets a worst case and keeps the gain, at the cost of the premium.

  • Applying a cap payoff when the reference rate is below the strike, or forgetting the day fraction.

    Students treat the cap like a swap that pays both ways.

    Fix: The cap payoff is never negative. Pay only when the rate exceeds the strike, and multiply by days ÷ basis.

  • Exercising an out-of-the-money option because the premium is already paid.

    The premium is a sunk cost, but students feel they must get value out of it.

    Fix: Exercise only if the payoff is positive. Otherwise, let it lapse and transact at the market.

Worked examples

Example 1

You manage an equity portfolio worth ₹50,00,000 with a beta of 1.2. Nifty is at 20,000. You buy Nifty put options with strike 19,500 at a premium of ₹150 per unit. The lot size is 50 units. Find the number of lots and the portfolio value, net of the hedge cost, if Nifty falls 10% to 18,000 and if it rises 10% to 22,000 at expiry. Assume the portfolio moves by beta times the index move.

Show the solution
  1. Number of lots = (1.2 × 50,00,000) ÷ (20,000 × 50) = 60,00,000 ÷ 10,00,000 = 6 lots.
  2. Total premium = ₹150 × 50 × 6 = ₹45,000.
  3. Case 1: Nifty falls to 18,000, a fall of 10%. The portfolio falls 1.2 × 10% = 12%, a loss of ₹6,00,000. Portfolio value = ₹44,00,000.
  4. Put payoff = (19,500 − 18,000) × 50 × 6 = 1,500 × 300 = ₹4,50,000.
  5. Portfolio value after hedge = 44,00,000 + 4,50,000 − 45,000 = ₹48,05,000. Net loss on the original ₹50,00,000 = ₹1,95,000.
  6. Case 2: Nifty rises to 22,000, a rise of 10%. The portfolio rises 12% to ₹56,00,000. The puts expire worthless.
  7. Portfolio value after hedge = 56,00,000 − 45,000 = ₹55,55,000.

Answer: Buy 6 lots of puts at a cost of ₹45,000. If Nifty falls to 18,000, the portfolio is worth ₹48,05,000 after the hedge. If Nifty rises to 22,000, it is worth ₹55,55,000, so the upside is kept after paying the premium.

Example 2

An Indian importer must pay US$ 1,00,000 in three months. The forward rate is ₹83.90 per US$. The importer can instead buy a US$ call option with strike ₹83.50 at a premium of ₹0.80 per US$. Ignore interest on the premium. Find the total rupee outflow if the spot rate at expiry is (a) ₹85.00 and (b) ₹82.00, and compare with the forward. Also find the spot rate at which the option and the forward cost the same.

Show the solution
  1. The importer fears the dollar becoming dearer, so a call on US$ is the right hedge.
  2. (a) Spot ₹85.00 is above the strike of ₹83.50. Exercise the call. Effective rate = 83.50 + 0.80 = ₹84.30. Outflow = 84.30 × 1,00,000 = ₹84,30,000.
  3. Forward outflow = 83.90 × 1,00,000 = ₹83,90,000. In (a) the forward is cheaper by ₹40,000.
  4. (b) Spot ₹82.00 is below the strike. Do not exercise. Buy in the market at 82.00. Effective rate = 82.00 + 0.80 = ₹82.80. Outflow = ₹82,80,000.
  5. In (b) the option is cheaper than the forward by 83,90,000 − 82,80,000 = ₹1,10,000.
  6. Breakeven: the option is cheaper than the forward when spot + 0.80 < 83.90, so when spot < ₹83.10. This is below the strike of 83.50, so the market-purchase case applies and the breakeven is valid.
  7. The worst case with the option is ₹84.30 per US$.

Answer: At ₹85.00 the outflow is ₹84,30,000 (forward ₹83,90,000). At ₹82.00 it is ₹82,80,000. The option beats the forward only if spot at expiry is below ₹83.10. The maximum cost is capped at ₹84.30 per US$.

Exam tips

  • Write the exposure and the harmful move in the first line. It earns marks and prevents a call/put error.
  • Show the exercise decision for each scenario in words: 'Exercise' or 'Lapse'. Examiners look for it.
  • Always give a recommendation: option when you expect a large favourable move or are unsure, forward or future when you want a certain cost and want to avoid the premium.
  • For interest rate caps and floors, use the day-count basis given and show the payoff period by period.
  • In MCQs, check the sign of the premium and whether the question asks for net profit or gross payoff before choosing.

Practice questions from Options

Hedging with Options and Real-Life Applications in other exams

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

Hedging with Options and Real-Life Applications: frequently asked questions

How do I hedge a portfolio using put options?

Buy index put options so that a fall in the index is offset by the put payoff. Work out the number of lots as (Beta × Portfolio value) ÷ (Index level × Lot size). The portfolio is then protected below the strike, less the premium paid.

What is the difference between hedging with futures and hedging with options?

Futures fix the price, so they remove both the loss and the gain. Options set a worst case and keep the favourable move open, but you pay a premium up front. A futures hedge has no premium but needs margin and daily settlement.

How do I hedge currency risk with options?

If you must pay foreign currency, buy a call on it. If you will receive foreign currency, buy a put on it. The effective rate is the better of the market rate and the strike, adjusted for the premium.

What are interest rate caps and floors?

A cap pays you when a floating reference rate is above the cap strike, so it protects a borrower. A floor pays you when the rate is below the floor strike, so it protects a lender or investor. A collar combines a bought cap and a sold floor to cut the premium cost.