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Modeling interest rate swap volatility with GARCH processes

Michał Balcerek, Michał Wronka · 2026 · arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.25965 · cited by 0 works (OpenAlex) · open-access PDF

Portuguese

Examinamos a dinâmica da volatilidade condicional da taxa de swap do USD 1Yx10Y usando GARCH(1,1), GJR-GARCH(1,1), e um modelo de GARCH com comutação de dois regimes (MSGARCH). A análise utiliza dados diários de 2007 a 2023 e incorpora medidas implicadas pelo mercado (volatilidade de swap do ATM e o SRVIX in-dex) juntamente com um amplo conjunto de testes de diagnóstico. Os modelos GARCH padrão e GJR-GARCH mostram parâmetros de curta duração estáveis, mas o intercept ω varia significativamente em todas as janelas de rolamento, causando instabilidade na variável de longa duração implícita. Este padrão, confirmado pelo teste de Nyblom, motiva a adoção de uma

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Abstract

We examine the conditional volatility dynamics of the USD 1Yx10Y forward swap rate using GARCH(1,1), GJR-GARCH(1,1), and a two-regime Markov-switching GARCH (MSGARCH) model. The analysis uses daily data from 2007 to 2023 and incorporates market-implied measures (ATM swaption volatility and the SRVIX in- dex) together with a broad set of diagnostic tests. Standard GARCH and GJR- GARCH models show stable short-run parameters, but the intercept ω varies markedly across rolling windows, causing instability in the implied long-run vari- ance. This pattern, confirmed by the Nyblom test, motivates adopting a regime- switching specification. MSGARCH mitigates this issue by keeping regime-specific parameters stable and capturing time variation through filtered regime probabili- ties. It delivers the highest log-likelihood and lowest AIC, whereas BIC favours the more parsimonious GJR-GARCH. One-step-ahead backtesting indicates comparable short-horizon accuracy across models, but MSGARCH offers a clearer structural in- terpretation by isolating high- and low-volatility regimes aligned with major market events.

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Topics: Econometrics, Volatility (finance), Autoregressive conditional heteroskedasticity, Interest rate swap, Swap (finance), Economics

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