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This book has 1 recommendation
Nassim Nicholas Taleb (Flaneur)
One of the author, Baz, gave me a copy of this book when it came out and it went to sleep in my library as I was not in a finance mood. I forgot about it until this week as I was stuck on a problem related to risk-neutral pricing and the Girsanov theorem concerning changes in probability measure. I looked at every passage on the the subject until I hit on it. Then I realized that I should have read it before: it is a condensed, but extremely deep , and complete exposition of the subject of theoretical finance.
No financial book has the clarity of this text. Other quant books do not have such notions as "pricing kernel" and economic theoretical matters.
I would recommend it as a necessary piece of the "quant" toolkit. Every quant should have it as a background tool as the usual quant literature is standalone and devoid of these concepts.
This book offers a complete, succinct account of the principles of financial derivatives pricing. The first chapter provides readers with an intuitive exposition of basic random calculus. Concepts such as volatility and time, random walks, geometric Brownian motion, and Ito's lemma are discussed heuristically.
The second chapter develops generic pricing techniques for assets and derivatives, determining the notion of a stochastic discount factor or pricing kernel, and then uses this concept to price conventional and exotic derivatives.
The third chapter applies the pricing concepts to the special case of interest rate markets, namely, bonds and swaps, and discusses factor models and term structure consistent models. The fourth chapter deals with a variety of mathematical topics that underlie derivatives pricing and portfolio allocation decisions such as mean-reverting processes and jump processes and discusses related tools of stochastic calculus such as Kolmogorov equations, martingale techniques, stochastic control, and partial differential equations.