A New Approach to Estimating Portfolio-Balance Models of the Yield Curve

We show that the parameters of a broad class of portfolio-balance models can be recovered from estimates of Gaussian dynamic term structure models (GDTSMs) using a two-step estimator that bypasses the fixed-point problem that characterizes portfolio balance models. Specifically, we develop a novel canonical representation of bond supply in terms of factor-mimicking portfolios, whose returns replicate the structural shocks to the pricing factors. We identify these structural shocks by assuming that each shock corresponds to a distinct, mutually exclusive dimension of bond-supply variation. Using U.S. Treasury yields and macroeconomic data, we show the recovered shocks admit interpretations as hedging-risk-premium, risk-bearing-capacity, and monetary policy shocks.

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Publication Details

Journal
Bank of Canada Research
Published
2026-09-18
DOI
https://doi.org/10.34989/swp-2026-33
Primary Topic
Financial Risk and Volatility Modeling
Type
article
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article

A New Approach to Estimating Portfolio-Balance Models of the Yield Curve

Antonio Diez de los Rı́os
Bank of Canada Research
Financial Risk and Volatility Modeling
article

A New Approach to Estimating Portfolio-Balance Models of the Yield Curve

Antonio Diez de los Rı́os
article en

Abstract

We show that the parameters of a broad class of portfolio-balance models can be recovered from estimates of Gaussian dynamic term structure models (GDTSMs) using a two-step estimator that bypasses the fixed-point problem that characterizes portfolio balance models. Specifically, we develop a novel canonical representation of bond supply in terms of factor-mimicking portfolios, whose returns replicate the structural shocks to the pricing factors. We identify these structural shocks by assuming that each shock corresponds to a distinct, mutually exclusive dimension of bond-supply variation. Using U.S. Treasury yields and macroeconomic data, we show the recovered shocks admit interpretations as hedging-risk-premium, risk-bearing-capacity, and monetary policy shocks.

Bank of Canada Research
Openalex Percentile: Top 7%
Financial Risk and Volatility Modeling
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