Calculus

Download An Undergraduate Introduction to Financial Mathematics by J. Robert Buchanan PDF

By J. Robert Buchanan

This textbook presents an creation to monetary arithmetic and monetary engineering for undergraduate scholars who've accomplished a 3- or four-semester series of calculus courses.

It introduces the speculation of curiosity, discrete and non-stop random variables and chance, stochastic procedures, linear programming, the elemental Theorem of Finance, alternative pricing, hedging, and portfolio optimization. The reader progresses from a great grounding in multi-variable calculus via a derivation of the Black–Scholes equation, its answer, houses, and applications.

Contents:

  • 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
  • Optimizing Portfolios
  • American Options

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

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