Debt Pricing

Determining the price of a debt security means applying valuation logic in a market context. The bond’s price reflects the present value of its promised cash flows, but that value also depends on how market yields, coupon structure, credit spreads, and settlement conventions affect what investors are willing to pay.

For CSI IMT purposes, students should understand not only how to calculate price, but also how to interpret why a bond trades at a premium or discount and how quoted and settlement prices differ.

Bond Pricing in Market Terms

A bond’s theoretical price comes from discounting future cash flows, but the practical market price also reflects:

• the current required yield
• the issuer’s credit spread
• the timing of settlement
• market liquidity
• embedded options such as call features

This is why two bonds with similar coupons can still trade at meaningfully different prices.

Coupon Rate, Yield, and Price

The relationship among coupon, yield, and price is central:

• if coupon rate equals required yield, the bond trades near par
• if coupon rate exceeds required yield, the bond trades at a premium
• if coupon rate is below required yield, the bond trades at a discount

This is a pricing relationship, not a judgment about whether the bond is attractive. A premium bond is not automatically expensive in a negative sense. It may simply carry a coupon above current market rates.

Price Sensitivity to Yield Changes

Because bond price and yield move inversely, a change in market yield will usually change price. If required yield rises, existing prices fall. If required yield falls, existing prices rise.

Students should connect this directly to market practice. A bond is repriced because competing market opportunities have changed.

Clean Price and Dirty Price

The price quoted in the market is often the clean price, which excludes accrued interest. The actual amount paid at settlement is the dirty price, also called the invoice price.

This distinction matters because the bond buyer compensates the seller for coupon interest that has accrued since the last payment date.

Current Yield and Simple Price Interpretation

Current yield is a quick price-related income measure:

This can help with quick comparisons, but it should not be confused with yield to maturity. Current yield ignores the effect of price convergence to par at maturity and does not capture the full time value of money.

Credit Spreads and Price

Corporate and other non-government bonds are often priced relative to a benchmark yield curve. If an issuer’s spread widens:

• the required yield rises
• the bond price falls, all else equal

This explains why a bond can lose value even when government yields are unchanged. Credit conditions and liquidity can move prices independently.

Worked Example

Suppose a bond has:

• face value of $1,000
• annual coupon of $50
• clean market price of $980

Its current yield is:

If accrued interest at settlement is $8, the dirty price is:

This example illustrates why quoted price, settlement amount, and yield should not be treated as interchangeable.

Real-World Case Study

During periods of rapid rate increases, such as the 2022 tightening cycle, many older bonds with lower coupons traded below par because new issues offered higher yields. At the same time, lower-quality corporate bonds often faced additional downward pressure as spreads widened. Investors who understood the distinction between government-rate effects and spread effects were better equipped to explain why prices were changing.

This is a valuable case study because it combines valuation, pricing, and market behaviour in one setting rather than treating bond math as separate from real markets.

Common Pitfalls

• confusing yield quotes with actual dollar price
• forgetting to add accrued interest at settlement
• assuming a premium bond is automatically overvalued
• ignoring spread changes when analyzing corporate debt prices

Exam Focus

CSI IMT questions in this area often test whether students can connect yield, coupon, price, and accrued interest correctly. The strongest answer usually explains both the numerical relationship and the economic reason behind it.

Quiz