Interest Rate Models
by Damiano Brigo, Fabio Mercurio

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Book Summary Information

• Monte Carlo Methods in Financial Engineering (Stochastic Modelling and Applied Probability) (v. 53)
• Mathematics for Finance: An Introduction to Financial Engineering (Springer Undergraduate Mathematics Series)
• Interest Rate Models - Theory and Practice: With Smile, Inflation and Credit (Springer Finance)

Book Reviews of Interest Rate Models

Book Review: New stuff and nice overview: hard to beat!
Summary: 5 Stars

I've followed a similar path from control to finance, and having worked with interest rate models, I couldn't help but order this Brigo-Mercurio book. I had high expectations 'cause these two guys are working in a bank on the real thing.

Sure enough I'm not disappointed.

1-factor models are handled with great care, a ton of formulas and recipes are given. I've never seen this kind of analysis of pricing with Gaussian 1-f models. The new upgrade of the CIR model is interesting and accurate. "CIR++" is now my favorite 1-f model. I like the treatment of lognormal 1-f models and the explanation of Monte Carlo and trees -- the flow-chart for Bermudan swaptions is crystal clear! Plots of market implied structures and volatility calibration are useful additions.

The chapter on 2-f extensions has one of the best discussions on volatility, and two tons of useful formulas/recipes. Two dimensional trees!

The HJM chapter size is OK. I agree - the useful models embedded in HJM are short rate models and market models.

Market models - these three chapters alone are worth the book. You'll find yourself nodding as you read the guided tour. They make it look easy all the time. The exposition is focused, clear, intuitive, detailed. There's also new stuff, just check the calibration discussion! Smile modeling begins with a brilliant tour and ends with Brigo-Mercurio's new approach - the mixing dynamics - deserving a whole chapter if expanded.

The detailed explanation on products is a much welcome original addition. Cross currency derivatives!

Quotes - as in Brigo's old work - are a pleasant diversion while reading. The 500 and more pages are a treat given the competitive price.

Still there's room for improvements - more "CIR2++"! Something on 3-f models. Historical estimation of the correlation matrix and low-rank optimized approximations. Expand smile modeling! More hedging. Something on structured products. Cross currency libor model. chapter 9 - other interest rate models - sounds out of place and can be suppressed for other things.

This book rings true and has useful teachings for students, academics and practitioners. Although it requires some background in stochastic calculus, it's hard to beat on the pricing front. Kudos to Brigo and Mercurio! It only harms there aren't enough books like this.

Summary of Interest Rate Models

Economics Books

• Subjects > Business & Investing > Economics
• Finance
• Science & Math > Mathematics