Modern financial mathematics relies on the theory of random
processes in time, reflecting the erratic fluctuations in financial
markets.This book introduces the fascinating area of financial
mathematics and its calculus in an accessible manner geared toward
undergraduate students. Using little high-level mathematics, the
author presents the basic methods for evaluating financial options
and building financial simulations. By emphasizing relevant
applications and illustrating concepts with colour graphics,
Elementary Calculus of Financial Mathematics presents the crucial
concepts needed to understand financial options among these
fluctuations. Among the topics covered are the binomial lattice
model for evaluating financial options, the Black-Scholes and
Fokker-Planck equations, and the interpretation of Ito's formula in
financial applications. Each chapter includes exercises for student
practice and the appendices offer MATLAB(R) and SCILAB code as well
as alternate proofs of the Fokker-Planck equation and Kolmogorov
backward equation.
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