Interest Rate Derivatives
CH5 · Strategies using Exchange Traded Interest Rate Derivatives
Short/long hedges, duration hedge ratio, spreads, cash-and-carry arbitrage
Chapter 5: Strategies using Exchange Traded Interest Rate Derivatives
NISM Series IV — Interest Rate Derivatives | ~15% weightage | ~60 questions
What this chapter is about
How to use IRD futures and options to hedge, speculate, and arbitrage. Three core hedging strategies: short hedge, long hedge, and portfolio hedging using duration. The duration-based hedge ratio is unique to IRDs and heavily tested. Calendar spreads and inter-bond spreads round out the chapter.
Short Hedge — protect against rising interest rates
Who uses it: Anyone holding a fixed income security (bond portfolio, bank with loan book) who fears rates will rise → bond prices fall.
Action: SELL G-Sec bond futures (short position)
Why it works: If rates rise, bond prices fall. Short futures position profits as futures prices fall too, offsetting the loss on the bond portfolio.
Formula for hedging a bond position:
Number of contracts = (Portfolio MD × Portfolio Value) / (Futures MD × Futures price per contract)Or more commonly:
Hedge ratio = (Change in portfolio value for 1bp) / (Change in futures value for 1bp)
= Portfolio PVBP / Futures PVBPExample: If a bank holds Rs 10 crore in bonds with MD = 7, and futures MD = 6, futures price = Rs 2 lakhs:
N = (7 × 10,00,00,000) / (6 × 2,00,000) = 583 contracts (approximately)Long Hedge — protect against falling interest rates
Who uses it: Anyone planning to invest money in the future and fears rates will fall → bond prices rise → will have to pay more.
Action: BUY G-Sec bond futures (long position)
Example: A fund expects to receive Rs 5 crore in 3 months and plans to invest in bonds. It fears rates will fall (bonds get more expensive). Buy futures now — if rates fall, futures profit offsets the higher price paid for bonds.
Insurance companies: Permitted for long hedge ONLY.
Portfolio hedging using Duration
Duration-based hedge ratio = the standard approach for hedging a portfolio of multiple bonds.
Number of contracts to sell = (Target MD − Current MD) × Portfolio value / (Futures MD × Futures price)To reduce duration of portfolio (short hedge): Target MD < Current MD → negative number = SELL contracts
To increase duration of portfolio (long hedge): Target MD > Current MD → positive number = BUY contracts
Example: Portfolio = Rs 10 crore, Current MD = 6, Target MD = 0 (fully hedged), Futures MD = 5, Futures price = 2L:
N = (0 − 6) × 10,00,00,000 / (5 × 2,00,000) = −600 contracts → SELL 600 contractsArbitrage strategies
Cash-and-carry arbitrage (when futures overpriced):
- Buy bond in cash market + sell bond futures simultaneously
- Profit = Futures price − (Cash price + Financing cost − Coupon income)
Reverse arbitrage (when futures underpriced):
- Sell bond in cash market + buy bond futures simultaneously
- Profit = (Cash price + Financing cost − Coupon income) − Futures price
Exchange vs OTC arbitrage: Buy in one market, sell in other to exploit price difference.
Calendar spread
Definition: Buy one month contract + sell different month contract on the SAME underlying and SAME quantity.
Also called: Time spread, horizontal spread.
Inter-commodity spread: Buy futures on one underlying + sell futures on different underlying, SAME quantity, SAME expiry month. Example: Buy March T-bill futures + sell March 10Y G-Sec futures.
Key difference from currency: IRD calendar spread = same underlying, different expiry.
Margin treatment: Calendar spreads have LOWER margin than outright positions because both contracts move in similar direction → lower net risk.
Speculation using IRDs
Speculating on LEVEL of interest rates:
- Expect rates to FALL → Buy bond futures (profit as bond prices rise)
- Expect rates to RISE → Sell bond futures (profit as bond prices fall)
Speculating on TIMING of rate change:
- Expect 3M rate to change in 1M → Use 1M expiry contract on 3M rate sensitive instrument
- Match EXPIRY DATE to WHEN rate change expected
- Match UNDERLYING to WHICH rate/tenor you're targeting
Converting floating to fixed = HEDGING (not speculation) Converting fixed to floating (expecting rates to fall) = SPECULATION
Fixed income hedging for banks and institutions
Bank asset-liability management:
- Fixed rate loans: No interest rate risk for borrower (rate locked)
- Floating rate loans: Risk for borrower — rates may rise
- Bank's risk: Borrow short-term (deposits), lend long-term (loans) → rising rates squeeze margin
Short-selling G-Sec futures:
- Banks and Primary Dealers: can do naked short sell (need prior RBI permission for PDs)
- Others: short sell only for hedging
Trap Alert
Trap 1: "Long hedge = selling futures" — FALSE Long hedge = BUYING futures. Short hedge = SELLING futures.
Trap 2: "Holding fixed rate loan = exposed to interest rate risk" — FALSE Fixed rate = NO interest rate risk. Floating rate = YES.
Trap 3: "Calendar spread = different underlyings, same expiry" — FALSE Calendar spread = same underlying, DIFFERENT expiry. Inter-commodity spread = different underlyings, same expiry.
Trap 4: "Calendar spreads have higher margin than outright" — FALSE Calendar spreads have LOWER margin (less risk because both legs move together).
Trap 5: "Converting floating to fixed is speculation" — FALSE Converting floating → fixed = HEDGING. Converting fixed → floating (expecting fall) = SPECULATION.
Must-remember rules
- Short hedge: SELL futures → protect against rising rates (bond prices falling)
- Long hedge: BUY futures → protect against falling rates (bond prices rising)
- Duration-based hedge ratio = standard for bond portfolio hedging
- Hedge ratio = Portfolio PVBP / Futures PVBP
- Insurance companies = long hedge only (not short)
- PDs need prior RBI permission for naked short sell of G-Sec futures
- Calendar spread = same underlying, different expiry, same quantity, opposite positions
- Inter-commodity spread = different underlyings, same expiry, same quantity
- Calendar spread margin < outright position margin
- Arbitrage: overpriced futures = buy cash, sell futures | underpriced = sell cash, buy futures
- Reverse arbitrage = sell cash market, buy futures (when futures underpriced)
- Fixed rate loan = no IR risk | Floating rate = yes IR risk
Quick revision — 60 second scan
- Short hedge: sell futures (fear rate rise) | Long hedge: buy futures (fear rate fall)
- Insurance: long hedge only
- Duration hedge: (Target MD − Current MD) × Portfolio value / (Futures MD × Futures price)
- Calendar spread: same underlying, different expiry | Inter-commodity: different underlying, same expiry
- Calendar spread margin < outright
- Arbitrage: buy cheap, sell expensive simultaneously
- Reverse arbitrage: sell cash, buy futures (futures underpriced)
- Fixed rate = no IR risk | Floating rate = IR risk
- Speculation: expect rate fall → buy futures | Expect rate rise → sell futures