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Leverage

Also written Leveraged instrument · Leverage (Category III) · Leverage (Category III AIF)

Control of a large contract value for a small upfront outlay — premium for an option buyer, margin for a futures position — which multiplies percentage gains and percentage losses by the same factor.

In plain language

Leverage is the reason derivatives are exciting and the reason they ruin people, and it is the same arithmetic in both cases.

To take an exposure of Rs 8,75,000 in the cash market you need Rs 8,75,000. To take the same exposure through a derivative you need a small fraction of it: the premium if you buy an option, the initial margin if you take a futures position. Your profit and loss, however, are still computed on the full contract value.

So a 1% move in the underlying is not a 1% move in your money. Divide the contract value by your outlay and that is the multiple. The workbook's phrase for it is exact: leverage acts as a double-edged sword. Nothing in the mechanism distinguishes a favourable move from an unfavourable one.

How it works

The two forms behave very differently at the downside, and the exam cares about the difference.

Futures leverage is symmetric and open-ended. You post a margin that is a percentage of contract value; gains and losses accrue on the full value, are collected daily by mark-to-market, and are not capped at your deposit. The workbook is blunt: positions in futures contracts, being leveraged instruments, are riskier in nature than buying or selling the underlying.

Option-buyer leverage is asymmetric. The premium is the maximum loss — but it can be lost entirely, and easily. The workbook notes both halves: a trader can see large percentage gains from comparatively small favourable moves, and leverage equally magnifies the trader's percentage loss; if the option expires with no value, the whole premium is gone.

The regulator's view of how this plays out in practice is disclosed to every client, from a SEBI study of individual traders' profits and losses in equity F&O in FY 2021-22:

  • 9 out of 10 individual traders in the equity F&O segment incurred net losses.
  • Loss makers registered an average net trading loss of close to Rs 50,000.
  • On top of those losses, loss makers spent a further 28% of their net trading losses on transaction costs.
  • Those who made net trading profits spent 15% to 50% of those profits on transaction costs.

The formula

Contract value    = Price × Lot size

Leverage (futures) = Contract value ÷ Initial margin
Leverage (options) = Contract value ÷ Premium paid

Return on outlay   = P&L on full contract value ÷ Outlay

A worked example

Futures. Long one Nifty futures contract at 22,250, lot size 25, initial margin at 10% of contract value.

Contract value = 22,250 × 25 = Rs 5,56,250
Initial margin = Rs 55,625          → leverage of 10 times
Move in the indexP&L on the contractReturn on the Rs 55,625
+1%+Rs 5,562+10%
−1%−Rs 5,562−10%
−5%−Rs 27,813−50%
−10%−Rs 55,625−100%

A 10% fall in the index — which the Nifty has managed inside a single month more than once — wipes out the entire deposit. And it does not stop there: the loss is not capped at the margin, so an 11% fall leaves the client owing more money.

Options. The workbook's own case. An index option with strike 17,500 and lot size 50:

Contract value = 17,500 × 50 = Rs 8,75,000
Long call at a premium of Rs 95:
Outlay         = 95 × 50    = Rs 4,750     ← 0.54% of contract value
Leverage       = 8,75,000 ÷ 4,750 = 184 times
Break-even     = 17,500 + 95 = 17,595
Index at expiryChange in indexPayoff per lotP&LReturn on Rs 4,750
17,850+2.0%Rs 17,500+Rs 12,750+268%
17,595+0.5%Rs 4,750Nil0%
17,5000.0%Nil−Rs 4,750−100%
17,150−2.0%Nil−Rs 4,750−100%

A 2% move in the index produced a 268% gain. An index that simply did not move produced a total loss. Both rows are leverage; only one of them is in the advertisement.

For comparison, the long put in the same example cost Rs 150 × 50 = Rs 7,500 against the same Rs 8,75,000 of contract value.

Why NISM asks about it

Chapter 4 (Introduction to Options) defines leverage as paying a relatively small premium for market exposure in relation to the contract value, and immediately states the downside. Chapter 1 flags derivatives as leveraged instruments carrying heightened risk, and Chapter 3 warns that futures are riskier than the underlying for the same reason. Chapter 10, sections 10.1 and 10.2, is where it is examined hardest: the small initial capital outlay encourages clients to build positions beyond their risk tolerance, and the four SEBI Risk Disclosure facts above must be displayed by brokers, exchanges and depositories. Learn those four figures — 9 out of 10, Rs 50,000, 28%, and 15% to 50% — as stated numbers.

Common exam traps

  • Leverage magnifies losses exactly as much as gains. Any answer suggesting a derivative "reduces risk" through leverage is wrong; leverage is a risk multiplier. Hedging reduces risk, and that is a different mechanism.
  • Futures losses are not limited to the margin. Only an option buyer's loss is capped, and capped at the premium.
  • An option seller gets no such cap. He receives a small premium against unlimited risk — the workbook says he can lose many times the premium collected.
  • Leverage is computed against contract value, not against the index level or the premium alone. Contract value = price × lot size.
  • The SEBI Risk Disclosure figures are exact numbers, not approximations: 9 out of 10 loss-making; average loss close to Rs 50,000; an additional 28% of net trading losses spent on transaction costs.
  • A 100% loss on an option is normal, not exceptional. The index above lost nothing and the buyer lost everything.
  • Higher leverage also means a higher margin call risk on futures — the position can be liquidated by the broker before your view is proved right.

Where this is taught

Free preparation for NISM Series IV

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