מודלים
כמותיים למדידה וניהול סיכונים
Quantitative
Analysis
בימי ראשון
בין
השעות 14:00-19:00
02/09/2001-09/09/2001-16/09/2001
מלון שרתון תל
אביב
מרצה
עיקרי: צבי
וינר.
Major
topics:
Introduction,
deterministic methods. Stochastic methods. Monte Carlo. Advanced methods
for derivatives.
Specific topics:
Linear algebra: vectors, matrices, operators, quadratic forms, scalar
product, determinants, eigenvectors.
Calculus: Taylor series, gradient, Hessian, duration, convexity, delta and
delta-gamma dynamic hedging, bisection method, implied volatility, smile,
interpolation, fitting, measuring term structure of interest rates,
splines, numerical, differentiation. Random variables: mean, variance,
correlation, basic distributions, Markov process, credit migration,
Brownian motion, basic assumptions of Black-Scholes model, Ito's lemma,
mean reverting behavior of interest rates. Value-at-Risk (VaR) and
coherent risk measures. Black-Scholes formula, Black-Scholes equation,
numerical methods. Numeraire approach, binomial trees for pricing
contingent claims, Monte Carlo approach, variance reduction, examples of
simple and exotic options.
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