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Difficulty: MediumDebt Securities and Bond Structure

A corporate issuer releases two separate bond tranches with identical credit ratings and 15-year maturities. Tranche X pays a 3.5% annual coupon, while Tranche Y pays a 7.0% annual coupon. If prevailing market interest rates suddenly rise across all maturities by 150 basis points, which of the following statements correctly describes the market price behavior of these debt securities?

  1. A
    Both tranches will increase in market value, with Tranche Y experiencing a larger percentage gain due to its higher coupon payment.
  2. Tranche X will experience a larger percentage decline in market price than Tranche Y.Answer
  3. C
    Tranche Y will experience a larger percentage decline in market price than Tranche X.
  4. D
    The market prices of both tranches will remain unchanged because their annual coupon rates are fixed at issuance.

Answer

Tranche X will experience a larger percentage decline in market price than Tranche Y.
The correct response reflects the fundamental principles of fixed-income pricing. First, bond prices move inversely to market interest rates; when prevailing rates rise, existing bond prices drop. Second, given equal maturities, bonds with lower coupon rates (Tranche X at 3.5%) exhibit greater price volatility than bonds with higher coupon rates (Tranche Y at 7.0%). This occurs because a smaller fraction of the low-coupon bond's total cash flow is received prior to maturity, extending its duration and increasing its sensitivity to rate changes.

Step-by-Step Solution

1
Identify the relationship between prevailing market interest rates and secondary bond prices.
When interest rates rise, existing fixed-income bond prices decline in the secondary market.
Existing bonds paying lower fixed coupons become less attractive unless discounted to match current market yields.
2
Evaluate the impact of coupon rate magnitude on interest rate risk (price sensitivity).
Bonds with lower coupon rates experience greater percentage price fluctuations for a given change in interest rates.
Lower coupon bonds cash flow is weighted more heavily toward the final principal repayment at maturity, resulting in greater duration/price volatility.
3
Compare Tranche X (3.5% coupon) and Tranche Y (7.0% coupon).
Tranche X will suffer a steeper percentage drop in market price than Tranche Y when rates rise by 150 basis points.
Tranche X's lower coupon offers less interim income cushion against rising rates compared to Tranche Y.

Key Concept

Inverse Price/Yield Relationship and Coupon-Driven Price Sensitivity
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Topics

Debt Securities and Bond Structure

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