ise fixed incomebond pricingduration convexity

ISE Element 3: Fixed Income for Institutional Markets

Feb 26, 2026
5 min read

Master ISE Element 3 covering the OTC bond market, yield calculations, duration, convexity, credit spreads, and institutional fixed income strategies. 12% of the exam (12 questions).

ISE Element 3: Fixed Income (12%)

Fixed income concepts for the ISE focus on institutional-level understanding of bond markets, pricing mechanics, and risk management strategies.

OTC Bond Market Structure

Unlike equities which trade on a central exchange (like the TSX), the Canadian bond market is an Over-the-Counter (OTC) "Dealer Market":

  • Decentralized network where banks and dealers negotiate directly
  • Pricing is less transparent than stock markets - no single "ticker tape"
  • Large institutional blocks are negotiated privately

Inter-Dealer Brokers (IDBs)

Specialized firms (e.g., CanDeal, Tullett Prebon) that facilitate anonymous trading between major Investment Dealers. Benefits:

  • Move massive bond blocks without revealing identity to competitors
  • Provide price discovery
  • Maintain market stability

Yield Calculations

Yield to Maturity (YTM)

The "truth" in bond returns. It calculates total annual return if held until maturity, factoring in:

  • Interest Income (coupons)
  • Capital Gain or Loss (difference between purchase price and $100 par)
  • Assumes all coupons are reinvested at the same yield rate

Current Yield

Also known as "Income Yield" - measures annual coupon relative to current market price.

Formula: Annual Coupon / Current Market Price

Example: $50 coupon / $900 price = 5.55% current yield

Note: Ignores eventual principal repayment

The Inverse Rule

The most fundamental law of fixed income:

  • When interest rates rise: Existing bond prices FALL (new bonds have higher coupons, making old ones less attractive)
  • When interest rates fall: Existing bond prices RISE (old bonds with high coupons become more valuable)

Duration & Convexity

Modified Duration

The primary measure of interest rate risk. It estimates the percentage change in a bond's price for every 1% (100 basis point) change in market yields.

Example: A bond with duration of 7.0 will drop approximately 7% if interest rates rise by 1%.

Institutional managers use duration to "dial up" or "dial down" portfolio risk.

Convexity

The "correction" to duration. Duration assumes a straight-line price-yield relationship, but it's actually curved (convex).

Convexity is beneficial:

  • Prices rise MORE than predicted when rates fall
  • Prices fall LESS than predicted when rates rise
  • Provides a "buffer" against large interest rate shocks

Bond Pricing

Clean Price

The price quoted on dealer screens (e.g., 98.50). Represents the bond's principal value only, excluding accrued interest. Allows traders to compare bonds on fundamental value.

Dirty Price (Settlement Price)

The actual cash amount leaving the buyer's account on settlement day:

Dirty Price = Clean Price + Accrued Interest

Also called the "All-in Price" in institutional markets.

Accrued Interest

Interest earned by the seller from the last coupon payment date to the settlement date. The buyer must "reimburse" the seller for days they held the bond.

Bond Types & Features

Real Return Bonds (RRBs)

Government bonds designed to eliminate inflation risk. The principal is adjusted daily based on CPI, protecting both interest and principal purchasing power.

Strip Bonds

Created by separating interest coupons from principal (residue). Results in Zero-Coupon bonds:

  • Sold at deep discount, mature at par
  • Highly volatile
  • Perfect for "matching" specific future cash needs

Floating Rate Notes (FRNs)

Defensive bonds where the coupon "resets" periodically based on a benchmark (CORRA, T-Bills). Price remains stable near $100 even when rates rise.

Callable Bonds

Feature benefiting the ISSUER. Company can buy back the bond early if rates drop (refinance cheaper). Must offer higher yield to compensate investors for call risk.

Retractable Bonds

Feature benefiting the INVESTOR. Bondholder can force early redemption at par if rates rise, allowing reinvestment at higher rates.

Credit & Spreads

Credit Spreads

The yield difference between a risky corporate bond and a "risk-free" Government of Canada bond of the same maturity.

  • Spreads WIDEN: Investors are scared (recession fears)
  • Spreads NARROW: Investors are confident (economic boom)

The Yield Curve

  • Normal Curve: Upward sloping (longer terms = higher yields) - healthy economy
  • Inverted Curve: Short-term rates higher than long-term - predicts recession
  • Flat Curve: Economic transition

Institutional Strategies

Immunization

A hedging strategy where portfolio managers match the Duration of Assets to the Duration of Liabilities. If done correctly, any loss in bond price from rising rates is offset by increased interest earned on reinvested coupons.

Trading Rules

"Fair Pricing" (Rule 2800)

CIRO rule stating that on principal trades (dealer sells from own inventory), the markup must be reasonable and related to actual market value.

Adjusted Trading

Prohibited practice where dealer and client swap bonds at intentionally incorrect prices to hide portfolio losses.

T+1 Settlement

As of May 2024, Canada operates on Trade Date + 1 Business Day settlement for bonds, reducing counterparty risk.

ISE Exam Tips for Fixed Income

  • OTC market = dealer-to-dealer, less transparent than exchange
  • YTM is the comprehensive measure; Current Yield ignores capital gains/losses
  • Duration estimates price change per 1% yield change
  • Convexity is beneficial - provides cushion against rate shocks
  • Dirty Price = Clean Price + Accrued Interest
  • Callable benefits issuer; Retractable benefits investor
Tags:ise fixed incomebond pricingduration convexitycredit spreadsyield curve

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