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The LIBOR has served since the 1970s as a fundamental measure for floating term rates across multiple currencies and maturities. However, in 2017 the Financial Conduct Authority announced the discontinuation of LIBOR from the end of 2021…

Mathematical Finance · Quantitative Finance 2025-11-04 Matthew Bickersteth , Yining Ding , Marek Rutkowski

The LIBOR rate is currently scheduled for discontinuation, and the replacement advocated by regulators in the US is the Secured Overnight Financing Rate (SOFR). The change has the potential to disrupt the $200 trillion market of derivatives…

Mathematical Finance · Quantitative Finance 2021-03-23 Jacob Bjerre Skov , David Skovmand

The financial industry has undergone a significant transition from the London Interbank Offered Rates (LIBORs) to Risk Free Rates (RFRs) such as, e.g., the Secured Overnight Financing Rate (SOFR) in the U.S. and the Cash Rate (AONIA) in…

Mathematical Finance · Quantitative Finance 2025-11-18 Yining Ding , Ruyi Liu , Marek Rutkowski

We develop a model for the dynamic evolution of default-free and defaultable interest rates in a LIBOR framework. Utilizing the class of affine processes, this model produces positive LIBOR rates and spreads, while the dynamics are…

Pricing of Securities · Quantitative Finance 2013-07-15 Zorana Grbac , Antonis Papapantoleon

The Secured Overnight Funding Rate (SOFR) is becoming the main Risk-Free Rate benchmark in US dollars, thus interest rate term structure models need to be updated to reflect the key features exhibited by the dynamics of SOFR and the forward…

Mathematical Finance · Quantitative Finance 2021-01-13 Karol Gellert , Erik Schlögl

In the LIBOR market model, forward interest rates are log-normal under their respective forward measures. This note shows that their distributions under the other forward measures of the tenor structure have approximately log-normal tails.

Pricing of Securities · Quantitative Finance 2010-08-13 Stefan Gerhold

We develop a multi-factor stochastic volatility Libor model with displacement, where each individual forward Libor is driven by its own square-root stochastic volatility process. The main advantage of this approach is that, maturity-wise,…

Pricing of Securities · Quantitative Finance 2012-04-26 Marcel Ladkau , John G. M. Schoenmakers , Jianing Zhang

We introduce a multiple curve framework that combines tractable dynamics and semi-analytic pricing formulas with positive interest rates and basis spreads. Negatives rates and positive spreads can also be accommodated in this framework. The…

Mathematical Finance · Quantitative Finance 2015-12-07 Zorana Grbac , Antonis Papapantoleon , John Schoenmakers , David Skovmand

Explicitly taking into account the risk incurred when borrowing at a shorter tenor versus lending at a longer tenor ("roll-over risk"), we construct a stochastic model framework for the term structure of interest rates in which a frequency…

Pricing of Securities · Quantitative Finance 2018-09-19 Mesias Alfeus , Martino Grasselli , Erik Schlögl

This paper studies the 28 time series of Libor rates, classified in seven maturities and four currencies), during the last 14 years. The analysis was performed using a novel technique in financial economics: the Complexity-Entropy Causality…

Statistical Finance · Quantitative Finance 2016-03-10 Aurelio F. Bariviera , M. Belen Guercio , Lisana B. Martinez , Osvaldo A. Rosso

Credit Default Swaps (CDS) on a reference entity may be traded in multiple currencies, in that protection upon default may be offered either in the domestic currency where the entity resides, or in a more liquid and global foreign currency.…

Pricing of Securities · Quantitative Finance 2018-01-23 Damiano Brigo , Nicola Pede , Andrea Petrelli

The role of collateral in derivative pricing has evolved beyond credit risk mitigation, particularly following the global financial crisis, when funding costs and basis spreads became central to valuation practices. This development…

Mathematical Finance · Quantitative Finance 2026-03-10 Yining Ding , Ruyi Liu , Marek Rutkowski

With the reform of interest rate benchmarks, interbank offered rates (IBORs) like LIBOR have been replaced by risk-free rates (RFRs), such as the Secured Overnight Financing Rate (SOFR) in the U.S. and the Euro Short-Term Rate (\euro STR)…

Mathematical Finance · Quantitative Finance 2026-01-27 Alessandro Calvia , Marzia De Donno , Chiara Guardasoni , Simona Sanfelici

In the LIBOR era, banks routinely tied revolving credit facilities to credit-sensitive benchmarks. This study assesses the Across-the-Curve Credit Spread Index (AXI) -- a transparent, transaction-based measure of wholesale bank funding…

Risk Management · Quantitative Finance 2025-09-04 Viktor Tsyrennikov

This paper introduces a novel stochastic model for credit spreads. The stochastic approach leverages the diffusion of default intensities via a CIR++ model and is formulated within a risk-neutral probability space. Our research primarily…

Risk Management · Quantitative Finance 2026-01-09 Mohamed Ben Alaya , Ahmed Kebaier , Djibril Sarr

We provide a unified framework for modeling LIBOR rates using general semimartingales as driving processes and generic functional forms to describe the evolution of the dynamics. We derive sufficient conditions for the model to be…

Mathematical Finance · Quantitative Finance 2016-07-12 Kathrin Glau , Zorana Grbac , Antonis Papapantoleon

We provide a general and flexible approach to LIBOR modeling based on the class of affine factor processes. Our approach respects the basic economic requirement that LIBOR rates are non-negative, and the basic requirement from mathematical…

Pricing of Securities · Quantitative Finance 2015-03-13 Martin Keller-Ressel , Antonis Papapantoleon , Josef Teichmann

The aim of this paper is to propose a new methodology that allows forecasting, through Vasicek and CIR models, of future expected interest rates (for each maturity) based on rolling windows from observed financial market data. The novelty,…

Computational Finance · Quantitative Finance 2019-01-16 Giuseppe Orlando , Rosa Maria Mininni , Michele Bufalo

We present a quantitative study of the markets and models evolution across the credit crunch crisis. In particular, we focus on the fixed income market and we analyze the most relevant empirical evidences regarding the divergences between…

Pricing of Securities · Quantitative Finance 2012-04-03 Marco Bianchetti , Mattia Carlicchi

We develop an arbitrage-free random field LIBOR market model to price cross-currency derivatives. The uncertainty of the forward LIBOR rates of our cross-currency model is driven by a two time parameter random field instead of a finite…

Pricing of Securities · Quantitative Finance 2021-04-02 Rajinda Wickrama
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