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Frm Syllabus

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2011 FRM EXAM TRAINING SYLLABUS

PART I
Introduction to Financial Mathematics
1. Introduction to Financial Calculus a. Variables – Discrete and Continuous b. Univariate and Multivariate Functions – Dependent variable and Independent variable c. Physical representation of a function d. Linear and Non-Linear functions e. Limits of a function f. The number e and Natural Logarithm g. Differential Calculus – Differentiation, Interpretation - Slope of a tangent, using derivatives to calculate function values and deltas. Linear functions - 1st order derivative. Non-linear functions – 1st and higher order derivatives, interpretations and usage. Rules of derivatives. h. Functions – Differentiation and Taylor Series Expansion i. Introduction to Partial Derivatives j. Introduction to Integral Calculus 2. Introduction to Bond Mathematics a. Finance and the Time Value of Money b. Concept of Zero Coupon (Discount) Bonds and Coupon Bonds. c. Bond Characteristics d. Bond Types – Fixed Rate, Floating Rate, Inverse Floater Rate, etc. e. Interest Rates – Discrete and Continuous Compounding f. Bond Pricing – using ZCYC or YTMC with discrete compounding or continuous compounding g. Difference between bond coupon rate and bond yield h. Calculating Bond Yield (YTM, CY, MMY, ZCY/Spot, Par Yield, etc.) i. Price Yield Relationship

Introduction to Financial Statistics and Econometrics
1. Introduction to Financial Statistics a. Frequency distributions b. Measures of Central Tendency/Location (Mean/Mode/Median) c. Dispersion, Measures of Dispersion (Variance/SD/Quartiles/Percentiles/Ranges) and its relevance to Risk Management d. Correlations 2. Introduction to Probability Theory a. Random variables b. Probability and its uses c. Probability Rules d. Conditional Probabilities

e. Probability Distributions (Single Variable) i. Continuous Time/Discreet Time; Continuous Value/ Discreet

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