Lesson 31

    Hedging Equity Portfolios

    Protecting a portfolio you do not want to sell — and being honest about what that protection costs.

    Maya walks a rising boardwalk with a net strung beneath it at one fixed height and open air above, while Mr. Chartist gestures at the net: a protective put sets a floor and leaves the upside open
    Expiry result for a hypothetical ₹31,85,000 NIFTY-tracking portfolio, 130 units from NIFTY 24,500, with and without 130 puts at strike 24,300 bought at ₹150, a premium of ₹19,500. Without the put, a fall to 22,500 loses ₹2,60,000. With the put, the loss stops at ₹45,500, the 200 points to the strike plus the premium, while upside is reduced by the premium. Before costs and dividends.

    Keep the shares. Change the downside.

    BUY PUT24,300
    START24,500
    ₹0

    NIFTY at expiry · index points

    Move across the chart, or drag on a phone, to read each line.

    Hypothetical portfolio ₹31,85,000 (130 units from 24,500) · buy 130 puts at 24,300 for ₹150 · before costs and dividends

    Protect the exposure you actually own

    Follow one NIFTY-linked portfolio through a fall, a flat market and a rally. The question to keep asking: how much loss is left after the hedge, including what the hedge cost?

    By the end you will be able to answer

    1. What does the Put buy you?
    2. How many lots do you need?
    3. What does a cheaper collar give up?

    You hold Indian shares for the long term, but the next few weeks look uncertain and a short-term fall would be hard to sit through. You could sell the shares, which removes the exposure. Or you could buy a Put, which changes the exposure and lets you keep the shares. A hedge is a second position with its own price, its own expiry and its own obligations.

    A protective Put pairs something you own with a bought right to sell it at a fixed strike. A NIFTY Put settles against the index instead of your shares. It can offset a broad market fall, but it leaves company-specific losses uncovered. We keep that difference in view the whole way through.

    Our constructed portfolio is worth ₹31,85,000 and tracks 130 NIFTY index units exactly, with NIFTY at 24,500. Two assumed 65-unit lots use a 24,300 Put strike and a ₹150 premium per unit. Every price and quantity is made up for teaching, not a live quote. For how a Put works on its own, see the earlier lessons in this series; here we only ask what it does to a portfolio.

    Updated

    Chapter 1Protective Put2 min read

    What does the Put buy you?

    See what a Put gives you and what it costs.

    Maya

    Mr. Chartist, I hold shares for the long term but the next weeks look shaky. Should I sell them?

    Mr. Chartist

    Selling removes the exposure. A protective Put changes it and lets you keep the shares. The Put is a second position with its own price, expiry and obligations.

    Maya

    So I am fully protected?

    Mr. Chartist

    Not fully. In our example the Puts cost ₹19,500. After a 10% fall the combined loss was still ₹45,500: the 200 points down to the strike, plus the premium.

    Maya

    And if the market does not fall?

    Mr. Chartist

    The Put expires with no value and you are down the premium. Protection costs money even when you never use it.

    A NIFTY Put also settles against the index, not your shares, so company-specific losses stay uncovered.

    Short answer: a floor under the loss, for a price. The two Puts cover 130 assumed units and cost 150 × 130 = ₹19,500. At expiry each Put pays max(24,300 − final NIFTY level, 0) per unit, so the cash received is that amount × 130. Take off the premium once to get the Put result, then add the change in the portfolio. A gain on the Put does not mean the whole position gained.

    The Put offsets a fall below its strike

    NIFTY starts at 24,500. A ₹31,85,000 portfolio tracks the index, with 130 Put units held to expiry. Prices are made up; costs and dividends are left out.

    ₹0Max loss −₹45,50024,300Put strike24,650Break-even
    Drag to read the result at any final level.

    Exact expiry arithmetic for the tracking portfolio. The line is the combined result with the Put after its premium; the flat part is the floor. The table beneath also lists the unhedged tracking portfolio.

    Complete plotted values: Combined result · rupees against NIFTY final settlement level · index points
    SeriesNIFTY final settlement level · index pointsCombined result · rupees
    Portfolio + purchased Put, after premium22,050−45,500
    Portfolio + purchased Put, after premium24,300−45,500
    Portfolio + purchased Put, after premium24,500−19,500
    Portfolio + purchased Put, after premium25,00045,500
    Portfolio + purchased Put, after premium26,9502,99,000
    The Put offsets a fall below its strike: numerical comparison
    NIFTY at expiryPortfolio changePut cash receiptCombined result after premium
    22,050−₹3,18,500₹2,92,500−₹45,500
    24,500₹0₹0−₹19,500
    26,950+₹3,18,500₹0+₹2,99,000

    At 22,050, shares lose ₹3,18,500. The Put receives ₹2,92,500; after its ₹19,500 cost, the combined loss is ₹45,500. The receipt is not the Put’s net profit.

    The ₹45,500 floor needs exact index tracking, 130 matched units and the Put held to expiry. A mixed-stock portfolio will not have the same floor.

    Say NIFTY falls 10% to 22,050. The tracking portfolio loses ₹3,18,500. The Puts receive ₹2,92,500, and after the ₹19,500 premium they gain ₹2,73,000. The combined loss is ₹45,500. You still bear the 200-point fall down to the Put strike, plus the premium.

    If NIFTY ends unchanged, the portfolio is unchanged and the Put expires with no value, so you are down the ₹19,500 premium. If NIFTY rises 10%, the portfolio gains ₹3,18,500, and after the premium you are up ₹2,99,000. Protection changes the downside, and it costs money even when you never use it.

    This floor belongs to the tracking model at expiry. Real shares can move differently from NIFTY, change in composition or pay dividends. Before expiry, a Put's price also depends on time, implied volatility, interest rates and how easily it trades, so an index move cannot be turned into a guaranteed sale price for the option.

    Chapter 2Hedge quantity3 min read

    How many lots do you need?

    Work out how many lots to use.

    Short answer: start from the value you want to protect, divide by the value of one lot, then round to whole lots and accept the mismatch. Beta is an estimate of how much a portfolio moved with the index over a stated past period. A beta of 1.2 suggests the portfolio moved about 1.2% for each 1% in the index on average in that sample. It is not a promise for each move, it can change, and it leaves company and sector risk unexplained.

    The index-equivalent quantity is portfolio value × beta ÷ (index level × lot size). At beta 1, ₹31,85,000 ÷ (24,500 × 65) is exactly two assumed lots. At beta 1.2, the answer is 2.4: two lots under-match, three over-match, and the choice depends on your aim and the cost. A ₹10 lakh portfolio gives only about 0.63 lots, which shows how a minimum lot can be too big for a small portfolio.

    This count is a common starting point for a short-futures hedge, and it can describe an expiry Put scenario. It does not make a Put delta-neutral today. Delta measures how the option price reacts to a small move right now. At a supplied delta of −0.40, offsetting 130 index units locally needs 130 ÷ (65 × 0.40) = 5 theoretical Put lots. That has a different cost and a different payoff at expiry from the two-lot example.

    Short futures give a roughly straight-line offset and give up the broad-market gains on the matched part. They also need margin and daily cash settlement of gains and losses. Bought Puts keep the upside after the premium, but their protection is curved and runs out at expiry. Name your aim before you compare quantities, and check the real contract and lot size. The 65-unit lot is our assumption. Margin, leverage and pledging covers what a short future ties up.

    A notional match is not a delta-neutral hedge

    Same portfolio, a beta estimate and an assumed 65-unit lot. Matching value and matching today’s sensitivity are different questions.

    Portfolio to protect₹31,85,000

    31,85,000 ÷ 15,92,500 = 2 lots at beta 1.0

    Notional match, beta 1.02 lots

    Pairs 130 option units with 130 index-equivalent units for the expiry scenario.

    Notional match, beta 1.22.4 theoretical lots

    Whole-lot execution needs a choice; neither rounding direction is automatically correct.

    Local delta offset, beta 1.0, Put delta −0.405 theoretical lots

    130 ÷ (65 × 0.40). It matches today’s sensitivity, not the expiry floor, and must be recalculated after the market moves.

    One tile is one assumed lot of 65 units, worth 24,500 × 65 = ₹15,92,500

    Name the hedge objective

    Notional lots = portfolio value × beta ÷ (index level × assumed lot size)

    Local Put-delta lots = portfolio value × beta ÷ (index level × assumed lot size × |Put delta|)

    Beta is a past estimate, not a promise. Delta depends on the model and the quote and changes. Buying five lots changes the terminal payoff and the premium cost. Costs and funding are left out.

    Chapter 3Collar trade-off2 min read

    What does a cheaper collar give up?

    See what a cheaper collar gives up.

    Short answer: the upside above the Call strike. A collar combines a bought Put and a sold Call against something you own, usually with the same quantity and expiry. The money from the Call helps pay for the Put, but you now owe the Call buyer the gain above the Call strike. The lower net cost is the trade.

    Keep the 130-unit tracking model. Buy the 24,300 Put at ₹150 and sell the 25,000 Call at ₹120. The net premium is (150 − 120) × 130 = ₹3,900. Below the Put strike, the combined loss at expiry is ₹29,900. Above the Call strike, the combined gain is ₹61,100. Both include the net premium once, and leave out costs and dividends.

    A collar lowers premium and gives up upside

    Retain the same tracking portfolio. Buy 130 Puts at strike 24,300 for ₹150 each; sell 130 Calls at strike 25,000 for ₹120 each, with the same expiry.

    ₹0Max profit ₹61,100Max loss −₹29,90024,300Put strike24,530Break-even25,000Call strike
    Drag to read the result at any final level.

    Exact expiry arithmetic for the tracking portfolio. The flat parts are the floor and the cap. The table beneath lists the Protective Put portfolio and the collar.

    Complete plotted values: Collar result · rupees against NIFTY final settlement level · index points
    SeriesNIFTY final settlement level · index pointsCollar result · rupees
    Portfolio + Put + sold Call, after net premium22,050−29,900
    Portfolio + Put + sold Call, after net premium24,300−29,900
    Portfolio + Put + sold Call, after net premium24,500−3,900
    Portfolio + Put + sold Call, after net premium25,00061,100
    Portfolio + Put + sold Call, after net premium26,95061,100

    Bought Put · P / PE

    Protection strike
    24,300
    Premium payment
    ₹19,500

    Sold Call · C / CE

    Upside limit reference
    25,000
    Premium receipt
    ₹15,600

    A cash receipt for a continuing short-option obligation, not final profit.

    A collar lowers premium and gives up upside: numerical comparison
    NIFTY at expiryProtective Put portfolioCollar portfolio
    22,050−₹45,500−₹29,900
    24,500−₹19,500−₹3,900
    26,950+₹2,99,000+₹61,100

    The net premium is ₹3,900. In this exact-tracking terminal model the loss below 24,300 is ₹29,900, and the gain above 25,000 is ₹61,100. A large rally no longer increases the combined result.

    These bounds hold in the tracking model. An index Call against different shares is a proxy hedge and is not covered by them. Margin, settlement and costs are separate.

    These limits hold when the shares and the options match, as in a same-stock collar. NIFTY options against a mixed set of shares form a proxy collar: your shares may not rise enough to offset the sold index Call. Holding assorted shares does not make an index Call covered, and does not remove margin. A lower premium alone therefore does not mean better protection.

    Compare strike, expiry, quantity, downside, the upside you give up, and funding, all together. In the figure, blue marks the Call contract and beige marks the Put contract. Neither colour says whether you profit. A Put can make money in a fall, and a short Call limits your gain.

    Chapter 4Funds and renewal3 min read

    What obligations remain after the hedge is on?

    Check the duties that remain after the hedge is on.

    Short answer: cash, margin, expiry and tax records do not disappear because the payoff looks protected. NSE NIFTY options are European-style: they are exercised at expiry and settled in cash under the exchange procedures. You can still sell them before expiry, but an early sale is a market trade, not exercise. Individual stock options on NSE are also European-style but settled by delivery, so an exercised long Put can require shares you can deliver. A NIFTY hedge does not deliver your portfolio shares.

    Check premium cash, short-option margin, collateral and settlement funds one by one. A portfolio that looks protected at expiry can face cash pressure while the hedge is open. If you close or change one leg, what remains is a new position, and the original collar no longer describes it.

    Protection ends when the contract ends. To extend it you must trade again at the terms on offer then. Repeated premiums, spreads and charges reduce your returns. A lower-strike Put may cost less in some comparisons but leaves more downside unprotected, so premium alone does not measure the quality of a hedge.

    Tax depends on the facts. Shares held as investments and eligible exchange derivatives can fall into different categories, and shares held in a trading business have their own treatment. Do not assume your hedge result nets off for tax. Keep fills, expenses and settlement records, and check the taxation lessons for the period concerned.

    To review, look at both positions at one time: what exposure is left, what it cost, when it expires and what cash or shares are needed. The next lesson asks what happens when the market moves further or faster than any plan assumed. For the basic habit of sizing the loss first, see risk management 101.

    Before you go

    Check yourself

    2 questions from this lesson. Pick an answer to see why, then slide on to the next.

    Question 1 of 2

    At beta 1, how many assumed 65-unit lots match ₹31,85,000 at NIFTY 24,500 on an index-equivalent notional basis?

    Questions readers ask

    Common questions

    What is a protective Put?

    It pairs an owned asset with a purchased Put on that asset. At expiry, matched quantity offsets losses below the strike after premium. An index Put against different shares is a proxy hedge and retains mismatch risk.

    Can a NIFTY Put guarantee a floor for mixed shares?

    No identical floor follows from an index hedge. Shares can move differently from NIFTY. The worked ₹45,500 floor assumes exact index tracking and matching Puts held to expiry.

    How do I estimate lots using beta?

    Divide portfolio value × beta by index level × lot size. The constructed ₹31,85,000 portfolio, beta 1, NIFTY 24,500 and assumed 65-unit lot give two lots. Whole-lot constraints, uncertain beta and the objective remain important.

    Is a beta-based Put quantity delta-neutral?

    Not automatically. A local Put-delta offset also uses absolute option delta. At the supplied −0.40 delta, five theoretical lots offset the example’s current sensitivity; the two-lot hedge has an expiry-protection objective. Both sensitivities can change.

    How does a collar differ from a protective Put?

    A collar sells a Call to help fund the Put and surrenders upside on the matched exposure. A plain Put pays the full premium and retains upside after cost. A proxy collar retains mismatch and short-option funding obligations.

    Can I exercise an NSE NIFTY Put before expiry?

    NIFTY options are European-style and exercised at expiry under applicable procedures. An earlier sale is a market trade subject to liquidity and execution, rather than early exercise.

    Does hedging remove margin and tax requirements?

    No. Premium, short-option margin, settlement and records remain separate from payoff. Share and derivative tax categories depend on the activity and applicable law; automatic netting cannot be assumed.

    Sources for further reading

    5 sources

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