Historical Development of Interest Rate Models

Summary

The document frames interest rate modeling as a historical progression, listing equilibrium models such as Vasicek and CIR, no-arbitrage models such as Ho–Lee and Hull–White, multifactor models, the HJM framework, the Libor Market Model, and the Forward Market Model. Its aim is to understand what ideas motivated these model classes, what advantages they introduced, and why practitioners’ preferences changed over time.

It also asks which models saw substantial investment banking use, but supplies no historical account, comparison, or evidence addressing that question. The sequence should therefore be read as the author’s proposed outline rather than a complete or validated chronology. It offers a useful set of topics for studying the field, while leaving model assumptions, calibration, applications, and adoption patterns to be established elsewhere.

Key ideas

• The proposed history begins with equilibrium short-rate models and moves toward no-arbitrage approaches.
• The outline includes multifactor models, HJM, LMM, and FMM as later topics in rate modeling.
• The document seeks to connect each model’s core idea to the motivation for its development.
• It asks about investment banking adoption but provides no evidence or answer.
• The listed sequence is a study outline rather than a substantiated chronology.

Tags

# Interest rate models history


# Interest rate models history












I am familiar with some interest rate models, such as the Vasicek, CIR. I also have an understanding of the basic formalization of other models such as Ho-Lee, Hull-White, HJM, Libor market model (LMM). Currently, I am studying the FMM model proposed by Lyashchenko and Mercurio in their seminal paper.

What I want to understand is the overall picture of interest rate modeling and the place of each model in it. I believe that this issue must be considered from a historical perspective in order to understand why certain models appeared and what what advantages they brought.

Now I see the history of interest rate models as follows:

- equilibrium models (Vasicek, CIR)

- no-arbitrage models (Ho-Lee, Hull-White, ...)

- multifactor models (Chen, ..)

- HJM framework

- Libor market model (LMM)

- Forward Market Model (FMM)

The bottom line is that I strive for a exhaustive understanding of what idea lies behind each model (class of models) and why some models were preferred over time over others. Which of the listed models have been heavily used in investment banking practice?

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