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Question

Difficulty: MediumInterest Rate Dynamics and Yield Curve Analysis

An analyst observes an inverted yield curve where short-term Treasury yields are higher than long-term yields. If overall market interest rates subsequently decline across all maturities, how will the prices of existing U.S. Treasury bonds react based on their maturity length?

  1. Long-term bond prices will increase more than short-term bond prices due to greater interest rate sensitivity.Answer
  2. B
    Short-term bond prices will increase more than long-term bond prices because short-term yields fluctuated more during the initial yield curve inversion.
  3. C
    Prices of existing bonds across all maturities will decline to reflect the recessionary signal of the inverted yield curve.
  4. D
    Long-term bond prices will remain unchanged because the Federal Reserve directly fixes fixed-income coupon payments to match prevailing interest rate targets.

Answer

Long-term bond prices will increase more than short-term bond prices due to greater interest rate sensitivity.
Bond prices and interest rates share an inverse relationship. When prevailing market rates decline, existing bond prices increase. Long-term bonds have greater duration than short-term bonds, making their market prices significantly more responsive to changes in interest rates.

Step-by-Step Solution

1
Analyze the inverse relationship between interest rates and bond prices.
When prevailing market interest rates drop, market prices of existing bonds rise.
Existing bonds with higher fixed coupon rates become more valuable relative to newly issued bonds offering lower current yields.
2
Evaluate the effect of maturity on bond price volatility (duration).
Longer-maturity bonds exhibit higher interest rate risk and price volatility.
Cash flows occurring further in the future experience a greater discounted value change for a given change in interest rates.
3
Compare long-term vs. short-term bond price movements.
Long-term Treasury bond prices increase significantly more than short-term Treasury bond prices when interest rates fall across maturities.
Combining the inverse bond price/yield relationship with long-term duration characteristics yields the largest price increase for long-term bonds.

Key Concept

Inverse Bond Price/Yield Relationship and Maturity Duration Sensitivity
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Topics

Interest Rate Dynamics and Yield Curve Analysis

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