Duration-Neutral Treasury and Corporate Bond Trades in a Steepening Curve

Summary

The document asks how to position for a change in the Treasury yield curve while a five-year corporate bond’s credit spread remains constant. It contrasts a duration-neutral trade using Treasuries at different maturities with a proposed trade that shorts the corporate zero-coupon bond and buys a longer-maturity Treasury, sizing the positions to offset duration.

The author suggests that the Treasury’s greater convexity may help explain the trade’s behavior, but does not resolve why it should profit specifically in a steepening scenario. No calculations, backtest, or worked explanation are provided. The piece is therefore useful as a fixed-income strategy question and as a prompt to examine curve exposure, spread exposure, duration matching, and convexity separately. Its limits are substantial: the curve move is not precisely defined, and the document gives no portfolio weights, risk analysis, or evidence that the proposed trade would be profitable under the stated beliefs.

Key ideas

• The proposed position shorts a five-year corporate zero and buys a longer-maturity Treasury.
• The trade is sized to make the portfolio duration-neutral.
• The corporate bond’s spread is assumed to remain constant relative to the Treasury curve.
• The document raises convexity as a possible explanation but does not establish the trade’s profit mechanism.
• No empirical evidence or detailed risk analysis is provided.

Tags

# Strategy in steepening curve environment, stable spreads - HotS interview problem


# Strategy in steepening curve environment, stable spreads - HotS interview problem












The following problem was found in "Heard on the Street":

> You construct a yield curve for (coupon-bearing) treasuries. A particular five-year corporate zero-coupon bond has a default risk premium of 1% over the level of your treasuries yield curve at the five-year mark. You believe that the yield curve is going to flatten in such a way that the default risk premium of the five-ear corporate zero remains constant. What strategy should you pursue using the five-year zero-coupon bond and treasuries to position yourself to profit from your beliefs?

It is clear to me that just using treasuries you can go long the long-rate and short the short-rate while constraining your portfolio to have zero-duration. However, the solution offered in the book is to short the corporate bond and go long a Treasury with greater maturity than the corporate bond, again calibrating your purchases to maintain a zero-duration portfolio.

The explanation is not very clear to me. What I understand is that the coupon-bearing Treasury must be more convex than the corporate bond, and therefore it makes sense that level-shift rate-volatility will help the short-Corporate long-Treasury portfolio. But what is the crisp understanding for why this strategy will be highly profitable in a steepening scenario?

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.