Exchange Traded Interest Rate Options
In this chapter: Basics of interest-rate options; the premium; buyer vs seller risk · Moneyness; intrinsic and time value · Option pricing basics, the Greeks and implied volatility · Payoff diagrams for interest-rate option positions
Interest-rate options (6 marks) apply the option toolkit from Module 2 to the rate market — the right, not the obligation, to transact a rate instrument at a strike. The grammar (moneyness, intrinsic/time value, the Greeks, implied volatility, the buyer's capped loss vs the seller's open risk) carries over exactly; only the underlying changes to a bond or rate.
An interest-rate option gives the buyer the right, not the obligation, to buy (call) or sell (put) an interest-rate instrument at a stated strike; the buyer pays the seller a premium for that right. The asymmetry is the same as in equities: the option BUYER faces LIMITED risk (the premium), while the option SELLER faces potentially UNLIMITED risk. Premium = intrinsic value + time value, so the difference between the premium and the intrinsic value is exactly the time value. Moneyness: an option is out-of-the-money when exercising it would give a negative cash flow (so no rational holder exercises); at-the-money when strike ≈ underlying; in-the-money when it has positive intrinsic value.
The Greeks transfer directly: Delta (sensitivity to the underlying rate/bond price), Gamma (how Delta changes), Theta (time decay — the premium a long loses each day), Vega (sensitivity to volatility). Implied volatility is the volatility the current premium implies. The key practical use of interest-rate options is ASYMMETRIC hedging: a bond portfolio manager fearing rising yields can BUY a put on the bond (or a call on yields) to cap the downside while keeping the upside if yields fall — paying a premium for one-sided insurance, rather than locking in a symmetric futures hedge that gives up the favourable move. On expiry, the net payoff of a bought option = intrinsic value − premium paid: if the option finishes at-the-money (zero intrinsic value), the buyer's net result is a loss equal to the premium.
The buyer-vs-seller risk asymmetry is the exam's favourite Chapter 21 point: a long option can only lose the premium; a short option (writer) collects the premium but bears large, open-ended risk if the market moves against them. For a SIF, this shapes strategy design — a fund BUYING rate options is paying for protection with a known, capped cost; a fund WRITING rate options is earning premium income while taking on tail risk. A distributor must know which behaviour a fund runs, because the two have opposite risk profiles, exactly as with equity options. The net-payoff rule (intrinsic − premium) is what turns a "the bond ended at my strike" scenario into a clean loss-equals-premium answer.
- SEBI / RBI framework for exchange-traded interest-rate options
- Exchange contract specifications for interest-rate options
- Model Risk Disclosure Document (F&O segment)
- Thinking the option seller has limited risk — the BUYER has limited (premium) risk; the SELLER has open-ended risk.
- Calling the whole premium "intrinsic value" — premium = intrinsic + time value; their difference is time value.
- Expecting a profit when a bought option expires at-the-money — net payoff is intrinsic − premium, i.e. a loss equal to the premium.
- Assuming an out-of-the-money option should be exercised — exercising it gives a negative cash flow, so it is left to lapse.
Frequently asked
Who faces more risk — the option buyer or the seller?
What is the difference between an option's premium and its intrinsic value?
Why would a fund buy a rate option instead of shorting a rate future?
Practice questions
Click each question to reveal the answer and explanation.
Q 1The price the option buyer pays to the option seller to acquire the right is called the ____________.- (a)Agreed price
- (b)Strike price
- (c)Sell price
- (d)Premium
- (a)Agreed price
- (b)Strike price
- (c)Sell price
- (d)Premium
Q 2The option buyer faces ____________ risk and the option seller faces ____________ risk.- (a)Limited, Unlimited
- (b)Limited, Limited
- (c)Unlimited, Limited
- (d)Unlimited, Unlimited
- (a)Limited, Unlimited
- (b)Limited, Limited
- (c)Unlimited, Limited
- (d)Unlimited, Unlimited
Q 3An option is ____________ if, on exercising it, the option buyer gets a negative cash flow.- (a)In the money
- (b)At the money
- (c)Out of the money
- (d)None of the above
- (a)In the money
- (b)At the money
- (c)Out of the money
- (d)None of the above
Q 4The difference between an option's premium and its intrinsic value is the ____________.- (a)Strike price
- (b)Time value
- (c)Expiry value
- (d)Option value
- (a)Strike price
- (b)Time value
- (c)Expiry value
- (d)Option value
Q 5A participant buys a put option with strike ₹98.50 at a premium of ₹0.20. On expiry the bond price is ₹98.50. What is the net payoff?- (a)Profit of ₹0.20
- (b)Profit of ₹0.25
- (c)No profit & no loss
- (d)Loss of ₹0.20
- (a)Profit of ₹0.20
- (b)Profit of ₹0.25
- (c)No profit & no loss
- (d)Loss of ₹0.20