Interest Rate Derivatives | Comprehensive Study Guide

Chapter 01

Chapter 1: Intro to Interest Rate & Fixed Income Markets

1.1 Understanding the Interest Rate Concept

Debt represents an "I owe You" agreement where the borrower returns the principal along with an agreed rate of return. Interest rates represent the cost of borrowing and the rate of return for the lender. The interest rate is typically quoted as a nominal annual percentage rate and is determined by macro factors like demand/supply of money, fiscal deficits, inflation, and central bank policies, as well as micro factors like bond maturity, credit risk, and liquidity.

Nominal vs. Real Interest Rate: The nominal interest rate is the stated interest rate (coupon rate). However, inflation reduces the purchasing power of money. The real interest rate adjusts for inflation.

Real interest rate \approx Nominal interest rate - Rate of Inflation Exact Formula: (1 + r) \times (1 + i) = (1 + R)

Effective Interest Rate

The effective interest rate can be different from the nominal annual interest rate due to the compounding effect.

Effective interest rate = [ (1 + r/n) n - 1 ]

Example: For a 6% nominal rate compounded semi-annually, the effective rate is: [(1 + 0.06/2)² - 1] = 6.09%.

1.2 Fixed Income Securities and Types

Fixed Income Securities (bonds or debentures) pay a predictable amount of interest via coupon payments, with the principal returning at maturity. Key types include:

Government/Sovereign Bonds: Risk-free bonds issued by the central or state governments (e.g., G-Secs, State Development Loans).
Corporate Bonds: Issued by corporations. Assessed by Credit Rating Agencies (CRAs) like CRISIL or ICRA. They carry higher risk and offer higher yields (Credit Spread).
Zero-Coupon Bonds (ZCBs): Issued at a discount and redeemed at face value. Example: Treasury Bills.
Floating Rate Bonds (FRBs): Coupon is linked to a benchmark (e.g., 182-day T-bill) and resets periodically.
Perpetual Bonds (Consols): No maturity date; pay coupons forever. Used heavily by banks (e.g., AT1 Bonds to meet Basel III norms).

1.3 Yield Measures and Term Structure

The Term Structure of Interest Rates (Yield Curve) plots interest rates against bond maturities. Standard shapes include Normal (upward sloping), Inverted (short-term > long-term), Flat, and Humped.

Key Yield Measures:

Current Yield: Coupon / Clean Price * 100. Measures the running cost/return.
Yield to Maturity (YTM): The internal rate of return (IRR) assuming the bond is held to maturity and all coupons are reinvested at the same YTM rate.
Bond Equivalent Yield (BEY): Used for T-Bills.
BEY = [(Face Value - Price) / Price] * (365 / Days to maturity) * 100
Discount Yield: Used for 91-day T-Bill Futures.
Discount Yield = [(Face Value - Price) / Face Value] * (360 / Days to maturity) * 100

1.4 Accrued Interest and Day Count

When a bond is traded between coupon dates, the buyer must compensate the seller for the interest accrued up to the settlement date. Dirty Price = Clean Price + Accrued Interest. Indian G-Secs use the 30/360 day-count convention, while Corporate bonds and money markets often use Actual/Actual or Actual/365.

30/360 Accrued Interest Example: Consider a 6.90% bond paying semi-annually. Previous coupon: Jan 13. Settlement: March 5. Days accrued (using 30/360) = 52 days. Total period = 180 days. AI = (6.90 / 2) * (52 / 180) = 0.9967

1.5 Risk Measures: Duration and Convexity

Price Risk (Interest Rate Risk) and Reinvestment Risk work in opposite directions. Duration measures a bond's price sensitivity to interest rate changes.

Macaulay Duration = \sum [ t * PV(CF t) ] / Market Price of Bond Modified Duration = Macaulay Duration / [ 1 + (YTM / n) ] Percentage Change in Price \approx - Modified Duration \times Change in Yield

Because the price-yield relationship is not a straight line, Convexity corrects the duration estimate for large yield changes. Due to positive convexity, a bond's price increases more when yields fall than it decreases when yields rise.

Total Estimated Price Change: % Change = [-ModDur \times ΔYield] + [½ \times Convexity \times (ΔYield)²] *Note: Some formulas use Convexity directly without the ½ if the Convexity measure already incorporates it. The workbook specifies: Convexity Adjustment = Convexity * 100 * (ΔYield)².

Chapter 02

Chapter 2: Interest Rate Derivatives

An Interest Rate Derivative (IRD) is a financial contract whose value is derived from one or more interest rates, prices of interest rate instruments, or interest rate indices. Their primary economic functions include Risk Management (Hedging), Price Discovery, Market Efficiency, and Speculation.

2.1 Derivative Products

Forward Rate Agreements (FRA): Over-the-counter (OTC) bilateral agreements to borrow or lend a notional amount at a fixed rate on a future date. They are usually cash-settled against a benchmark (e.g., T-Bill yield).
Interest Rate Futures (IRF): Standardized, exchange-traded contracts to buy or sell a notional security or an interest rate index at a future date.
Interest Rate Options (IRO): Contracts giving the right, but not the obligation, to buy or sell a bond or interest rate index. Includes Caps, Floors, and Swaptions.
Interest Rate Swaps (IRS): Agreements to exchange streams of interest payments (e.g., fixed for floating) on a notional principal, typically based on Overnight MIBOR.

FRA Calculation Example:

A company enters a 3x6 FRA to borrow INR 10,00,000. FRA Fixed Rate is 5% p.a. The Floating Rate at settlement is 6% p.a.
Interest Rate Diff = 6% - 5% = 1%
Interest Amount Diff = (10,00,000 * 1% * 3)/12 = Rs. 2500.
Since FRA settles upfront, discount it: 2500 / [1 + (6% * 3/12)] = Rs. 2463.05

2.2 OTC vs. Exchange-Traded Derivatives

While OTC derivatives offer extreme customization to meet specific hedging needs, they carry counterparty credit risk and settlement risk. Exchange-Traded Derivatives (ETDs) provide standardization, anonymity, high liquidity, price transparency, and complete elimination of counterparty risk due to the Clearing Corporation acting as the central counterparty (CCP) via Novation.

Chapter 03

Chapter 3: Exchange Traded Interest Rate Futures

Interest Rate Futures (IRFs) in India are standardized contracts traded on recognized stock exchanges. Since 2014, the most successful design has been cash-settled futures based on underlying Government of India (GOI) Securities.

3.1 Contract Specifications (Key Products)

Feature	GOI Bond Futures (6, 10, 13 yr)	91-Day T-Bill Futures	Overnight MIBOR Futures
Underlying	Single GOI Dated Security	91-Day GOI T-Bill	Daily FBIL Overnight MIBOR
Unit/Lot Size	2,000 bonds (Face Value: Rs 2 Lakhs)	2,000 units (Face Value: Rs 2 Lakhs)	Rs. 5 Crores Notional for 1 month
Quotation	Clean Price based	100 minus futures discount yield	Interest Rate
Tick Size	Rs. 0.0025	Rs. 0.0025	0.25 bps (Rs. 102.75 per tick value)
Expiry Day	Last Thursday of the month	Last Wednesday of the month	Last working day of the month
Settlement	Cash Settled (T+1)	Cash Settled (T+1)	Cash Settled (T+1)

3.2 Futures Price Computation

The pricing of a bond future relies on the Cost of Carry Model, which ensures a no-arbitrage environment. The theoretical futures price equals the cash price plus the cost of financing the purchase, minus the income generated by the bond.

Theoretical Future Price = Cash Price + Financing Cost - Income on Cash Position

Basis: The difference between the spot price and the futures price. Because income on cash positions (coupon yields) is often higher than short-term borrowing costs, bond futures frequently trade at a discount to the spot price (Positive Basis / Backwardation).

Forward Rate Calculation Example:

An investor wants to invest for 2 years. Option 1: 2-year bond at 6%. Option 2: 1-year bond at 5% and reinvest for 1 year at Forward Rate (F).
Value 1 = 1000 * (1 + 0.06)² = 1123.60
Value 2 = [1000 * (1 + 0.05)¹] * (1 + F)¹
Setting them equal: 1123.60 = 1050 * (1 + F) => F = 7.0095%

3.3 Payoff Profiles

Futures have linear, symmetrical payoffs. A Long Futures position (buying the contract) implies the trader believes bond yields will go down, and bond prices will increase. A Short Futures position (selling the contract) implies the trader believes bond yields will go up, and bond prices will decrease.

Chapter 04

Chapter 4: Exchange Traded Interest Rate Options

Exchange-Traded Interest Rate Options (IROs) are European-style options on Government of India securities. Option buyers pay a premium for the right to buy (Call) or sell (Put), while sellers receive the premium for accepting the obligation.

4.1 Option Pricing and Moneyness

Option premium consists of Intrinsic Value (if In-The-Money) and Time Value. Time value decays as the option approaches expiration.

In-The-Money (ITM): Call: Spot > Strike. Put: Spot < Strike.
Out-Of-The-Money (OTM): Call: Spot < Strike. Put: Spot > Strike.

Indian exchanges primarily utilize the Black (1976) Model to compute theoretical prices for interest rate options. Unlike the Black-Scholes model which uses spot prices, the Black (1976) model utilizes forward/futures prices, making it ideal for bond and interest rate options.

4.2 The Option Greeks

Delta (Δ): Sensitivity of the option premium to changes in the underlying bond price. (Call: 0 to 1, Put: -1 to 0).
Example: Call Delta = 0.55. If underlying bond price increases by Rs. 0.20, premium increases by (0.20 * 0.55) = Rs. 0.11.
Gamma (γ): The rate of change of Delta. It measures acceleration and convexity.
Example: Put Delta = -0.50, Gamma = 0.004. If underlying drops by 10 points, new Delta = -0.50 + (0.004 * -10) = -0.54.
Theta (Θ): Time decay. Represents points lost per day. Theta is negative for option buyers.
Vega (v): Sensitivity to Implied Volatility (IV). Positive for both long calls and long puts.
Example: Option Price = 0.10, Vega = 0.02. If volatility increases by 1%, new price = 0.10 + (1 * 0.02) = 0.12.
Rho (ρ): Sensitivity to changes in the risk-free interest rate. Call options generally rise in price (positive Rho) as interest rates increase, while puts decrease (negative Rho).

4.3 Put-Call Parity

Put-call parity defines the relationship between European put and call options with the same underlying, expiration, and strike. If this relationship is broken, an arbitrage opportunity exists.

Call Price + Present Value(Strike) = Put Price + Spot Price

Chapter 05

Chapter 5: Strategies using ETIRD

5.1 Hedging Strategies

Hedgers protect themselves from adverse interest rate movements. Because bond prices move inversely to interest rates:

Short Hedge: If you expect interest rates to rise (bond prices to fall), you sell bond futures or buy Put options to protect an existing bond portfolio.
Example: Investor holds Rs. 5 Crores of 6.10% G-Secs. Expects yield to rise. Sells IRF at Rs. 99.95. Since 1 lot = Rs. 2 Lakhs, sells 250 lots. On expiry, bond drops to Rs. 98.36. Profit on Futures = (99.95 - 98.36) * 250 * 2000 = Rs. 7,95,000. This offsets the cash market loss.
Long Hedge: If you expect interest rates to fall (bond prices to rise) and plan to invest future cash flows, you buy bond futures or Call options to lock in yields before they drop.
Portfolio Hedging (Duration-Based): To hedge an entire bond portfolio using a single bond future, calculate the hedge ratio: $Hedge Ratio (Lots) = (Portfolio Modified Duration * Market Value) / (Futures Modified Duration * Futures Price * Lot Multiplier)$
Example: Portfolio Value = 26 Crores, Port Duration = 6.1. Bond Future Price = 98.50, Futures Duration = 4.7. Lot Multiplier = 2000.
Lots = (26,00,00,000 * 6.1) / (98.50 * 4.7 * 2000) = 1713 lots.

5.2 Option Trading Strategies (Spreads)

Options allow for complex payoff scenarios designed to limit risk or profit from volatility:

Bull Spread: Created using Calls (Buy low strike, Sell high strike) or Puts. Caps both maximum profit and maximum loss.
Straddle: Buy a Call and a Put at the same strike price and expiry. Highly profitable in volatile markets regardless of direction, but requires a large price swing to break even (costly).
Strangle: Buy an OTM Call and an OTM Put (different strikes). Cheaper upfront than a straddle, but requires an even larger price swing to become profitable.
Covered Call: Holding the underlying bond and selling a Call option against it to earn premium income. The net position creates a synthetic short put profile.
Butterfly Spread (Long Call): A neutral strategy for low volatility. Combines a Bull Spread and Bear Spread. Buy 1 ITM Call, Sell 2 ATM Calls, Buy 1 OTM Call (equal distance strikes). Maximum risk is net premium paid.

5.3 Arbitrage

Arbitrageurs seek riskless profit.

Regular Arbitrage: If the futures price is significantly higher than theoretical price, Buy the spot bond and Sell the futures contract.
Reverse Arbitrage: If the futures price is too low, Sell the spot bond, invest the proceeds in repo, and Buy the futures contract.

Chapter 06

Chapter 6: Trading Mechanism in ETIRD

The Currency Derivatives Segment (CDS) acts as the host for ETIRD trading, utilizing a fully automated, anonymous order-matching system operating on price-time priority. Orders are matched with the best price first; if prices match, the earlier order wins.

6.1 Order Types and Conditions

Market Order: Executed immediately at the best available price. Exchanges also offer "Market with Protection" to prevent execution at extreme prices during illiquid moments.
Limit Order: Executed only at the specified price or better.
Stop-Loss Order: Remains dormant until a "Trigger Price" is breached, at which point it enters the market as a Limit or Market order to cap losses.
Time Conditions: Day Orders, IOC (Immediate or Cancel).

Spread Order Book: Exchanges offer a specialized order book for Calendar Spreads (trading the price difference between near-month and far-month contracts) to eliminate execution/leg risk. A "Buy Spread" order means selling the near month and buying the far month.

6.2 Risk Management and Direct Market Access (DMA)

Brokers perform pre-trade checks (Price range, Quantity Freeze, Value limits). Institutional clients can use DMA to route orders directly to the exchange without manual broker intervention. Algorithmic Trading and High-Frequency Trading (HFT) are permitted subject to stringent system audits and minimum order-level risk controls.

Risk Reduction Mode (RRM):

When a stock broker's collateral utilization exceeds 90%, they are automatically placed in Risk Reduction Mode. In this state, all unexecuted non-IOC orders are cancelled, and the broker can only place orders that reduce their overall open positions. They revert to normal mode when utilization drops below 85%.

6.3 Circuit Filters and Trading Costs

To prevent extreme volatility, exchanges implement Price Bands:

GOI Bond Futures: +/- 3% base price. Can flex by 0.5% up to 2 times a day (max +/- 4%).
91-Day T-Bill: +/- 1% of base price.
Overnight MIBOR: +/- 5% of base rate.

Trading costs involve SEBI turnover fees (Rs. 5 per crore), Stamp Duty (0.0001% on the buyer, valued on actual traded price for futures and premium for options), and brokerage commissions (capped at 2.5% of contract value or Rs. 100 per lot for options).

Chapter 07

Chapter 7: Clearing, Settlement & Risk Management

The Clearing Corporation (CC) ensures financial settlement through Novation, becoming the central counterparty to every trade.

7.1 Settlement Mechanism

All currently traded ETIRD contracts in India are Cash Settled on a T+1 basis.

Product	Daily Settlement Price	Final Settlement Price (FSP)
GOI Bond Futures	VWAP of last 30 mins across Exchanges.	VWAP of underlying bond on NDS-OM in last 2 hours.
91-Day T-Bills	100 - (0.25 * VWAP Futures Yield of last 30 mins).	100 - (0.25 * Weighted Average Discount Yield from RBI weekly auction on expiry day).
Overnight MIBOR	VWAP rate of last 30 mins.	Simple average of Overnight Call Rate (MIBOR) for expiry month.

7.2 Margining Framework (SPAN)

Risk is mitigated via a comprehensive margin system using Standard Portfolio Analysis of Risk (SPAN):

Initial Margin: Computed based on a 99% Value at Risk (VaR) over a 1-day horizon. For G-Sec IRFs, the Price Scan Range is 6σ subject to a minimum of 1.75%. Volatility is calculated using EWMA (λ = 0.995).
Extreme Loss Margin (ELM): 0.25% for G-Secs, 0.015% for T-Bills, 0.50% for MIBOR futures.
Calendar Spread Margin: Lower margin requirements for offset positions. E.g., 1-month spread charge for G-Sec IRF is Rs. 1700.
Net Option Value: MTM gains/losses for options are not cash-settled daily but are adjusted against the Liquid Net Worth of the member.

7.3 Interoperability & Core SGF Default Waterfall

Interoperability: A Clearing Member can select a single Clearing Corporation of their choice to clear trades executed across multiple exchanges, optimizing capital efficiency. Members must deposit Liquid Assets, ensuring the cash component is at least 50%.

Every CC maintains a Core Settlement Guarantee Fund (SGF). In the event of a member default, the waterfall of utilization is:

Monies of defaulting member (including primary contribution to Core SGF).
Insurance, if any.
CC resources (equal to 5% of the segment MRC).
Core SGF of the segment (Penalties, CC contribution 25%, SE contribution, non-defaulter primary contribution).
Proportion of remaining CC resources.
Capped additional contribution by non-defaulting members.

Chapter 08

Chapter 8: Regulatory Framework for ETIRD

Exchange-Traded Interest Rate Derivatives are jointly regulated by the Reserve Bank of India (RBI) and the Securities and Exchange Board of India (SEBI).

8.1 Legal Framework and Institutional Roles

SC(R)A 1956: Defines derivatives as legal securities, granting SEBI jurisdiction over exchange-traded contracts.
RBI Directions (2019): Governs all Rupee interest rate derivatives, defining eligible participants and hedging allowances.
FIMMDA: Fixed Income Money Market and Derivatives Association recommends market practices and aids in selecting eligible bonds for IRFs.
FBIL: Financial Benchmarks India Pvt. Ltd. administers critical benchmarks like MIBOR and T-Bill rates used for daily and final contract settlement.

8.2 Participation Limits

Key Limit Thresholds (e.g., 8-11 Year Bucket):

Institutions (Banks, MFs, FPI Cat I/II): Higher of 10% of Open Interest or INR 1,200 crore.
Non-Institutions (Retail, Individuals): Higher of 3% of Open Interest or INR 400 crore.

FPI Specifics: The aggregate long position of all FPIs shall not exceed INR 5,000 crore across all IRF instruments. No single FPI can acquire a net long position exceeding INR 1,800 crore.

8.3 Membership Criteria

Banks and Primary Dealers can take trading and clearing membership but are generally restricted to proprietary trading (cannot execute client trades in IRFs). Members must maintain Base Minimum Capital (BMC) depending on their profile (e.g., Rs 10 Lakhs for prop trading without Algo, Rs 50 Lakhs for all brokers with Algo).

Chapter 09

Chapter 9: Accounting and Taxation of ETIRD

9.1 Accounting Standards (Ind AS 109 & ICAI)

Under the Ind AS 109 framework, all derivative contracts must be recognized on the balance sheet at Fair Value. Unless designated under a formal Hedge Accounting Model, derivatives are measured at Fair Value Through Profit or Loss (FVTPL).

Fair Value Hedge: Hedges changes in the fair value of recognized assets/liabilities. Gains/losses hit P&L.
Cash Flow Hedge: Hedges variability in future cash flows. Effective portions go to Other Comprehensive Income (OCI); ineffective portions hit P&L.
Net Investment Hedge: Hedges foreign currency risk of a net investment in a foreign operation.

9.2 Taxation

Under Section 43(5) of the Income-tax Act, trading in exchange-traded derivatives is explicitly excluded from being a "speculative transaction." Therefore:

Gains or losses are treated as Normal Business Income (Non-Speculative).
Losses can be set off against other business income (but not salary) and carried forward for up to 8 assessment years.
Turnover Computation: For tax audits (Section 44AB), turnover is the absolute sum of favorable and unfavorable settlement differences, plus premiums received on sold options.
- If Turnover < 2 Cr and Profit < 6%: Tax Audit required.
- If Turnover between 2 Cr and 10 Cr (95% digital): Tax Audit not required.
- If Turnover > 10 Cr: Tax Audit mandatory.
For Foreign Portfolio Investors (FPIs), derivatives are always treated as Capital Assets, subject to Capital Gains tax.

Chapter 10

Chapter 10: Codes of Conduct and Investor Protection

10.1 Code of Conduct

SEBI (Stock Brokers) Regulations mandate high standards of integrity, due skill, and fairness. Brokers cannot manipulate markets, encourage churning solely for brokerage, or use client information for personal gain. They must execute orders at the best available market price.

10.2 Investor Grievance and SCORES 2.0

Grievances are managed through SEBI's centralized portal. The newly launched SCORES 2.0 (effective April 2024) mandates reduced and uniform timelines. Entities must resolve complaints within 21 calendar days. It introduces auto-routing, auto-escalation, and two levels of review (Designated Body, then SEBI).

10.3 Online Dispute Resolution (SMART ODR)

The SMART ODR Portal harnesses online conciliation and arbitration.

Conciliation: Attempted resolution within 21 calendar days. Fees range from Rs. 3240 (unsuccessful) to Rs. 4800 (successful).
Arbitration: Invoked if conciliation fails. For claims ≤ Rs. 1 Lakh, it is a document-only arbitration passed within 30 days. Higher claims have scaled arbitrator fees (e.g., Rs. 4800 to Rs. 1,20,000+). Market Participants challenging an award must deposit 100% of the award amount before initiating the challenge.

10.4 KYC and Pledging (DDPI)

To prevent the misuse of Power of Attorney (PoA), SEBI mandated the Demat Debit and Pledge Instruction (DDPI). Clients explicitly authorize brokers to access their BO account strictly for meeting pay-in settlement obligations and pledging/re-pledging securities for margin requirements. Title transfer of client securities to the broker is strictly prohibited; it must be done via a 'margin pledge' in the depository system.

Investor Protection Fund (IPF): Takes care of legitimate (non-speculative) claims against defaulting members. Funded via listing fees, interest on deposits, and penalties. The maximum compensation per investor is fixed by stock exchanges in consultation with the IPF Trust and SEBI.