An Undergraduate Introduction to Financial Mathematics by Buchanan J Robert

By Buchanan J Robert

This textbook presents an advent to monetary arithmetic and monetary engineering for undergraduate scholars who've accomplished a 3- or four-semester series of calculus classes. It introduces the idea of curiosity, discrete and non-stop random variables and likelihood, stochastic methods, linear programming, the basic Theorem of Finance, alternative pricing, hedging, and portfolio optimization. This 3rd variation expands at the moment via together with a brand new bankruptcy at the extensions of the Black-Scholes version of alternative pricing and a better variety of workouts on the finish of every bankruptcy. extra historical past fabric and workouts extra, with options supplied to the opposite chapters, permitting the textbook to higher stand by myself as an advent to monetary arithmetic. The reader progresses from a pretty good grounding in multivariable calculus via a derivation of the Black-Scholes equation, its resolution, houses, and functions. The textual content makes an attempt to be as self-contained as attainable with no hoping on complex mathematical and statistical issues. the fabric provided during this booklet will competently arrange the reader for graduate-level examine in mathematical finance.


  • The conception of Interest
  • Discrete Probability
  • Normal Random Variables and Probability
  • The Arbitrage Theorem
  • Random Walks and Brownian Motion
  • Forwards and Futures
  • Options
  • Solution of the Black-Scholes Equation
  • Derivatives of Black-Scholes alternative Prices
  • Hedging
  • Extensions of the Black-Scholes Model
  • Optimizing Portfolios
  • American Options

Readership: Undergraduate scholars in finance, economics, and utilized arithmetic; execs in banking, assurance and finance.

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