Interest Rate Mathematics: Develop numerical expertise in continuous and discrete compounding, spot, forward, and par rates, spreads, yield-to-maturity, and different yield curve shapes used in fixed income valuation.
Term Structure Modeling: Construct yield curves using bootstrapping and interpolation methods including linear interpolation, cubic spline, Nelson-Siegel, and Nelson-Siegel-Svensson frameworks (Excel).
Bond Pricing Techniques: Learn day count conventions, accrued interest treatment, and practical bond pricing using spot rates, forward rates, and yield-to-maturity through hands-on implementation (Excel).
Interest Rate Risk Measurement: Master duration (Macaulay, Modified, Dollar, Effective), convexity measures, DV01, Key Rate Duration (KRD), and modeling of parallel and non-parallel yield curve shifts for Portfolio Risk Analysis (Excel).
Yield Curve Shock Analysis: Model parallel shifts (uniform rate changes across all maturities) and non-parallel shifts (twists, butterfly movements, and basis risk scenarios) to evaluate portfolio sensitivity to different interest rate environments.
Risk in Bond Investing: Identify and assess the major risks in fixed income investing including interest rate, credit, liquidity, prepayment, reinvestment, currency, and inflation risk, and understand their impact on bond valuation.
Value at Risk (VaR) Model for Fixed Income: Build dynamic bond cash-flow schedules, apply discounted cash-flow modeling, perform full valuation VaR and partial revaluation VaR, simulate yield curve movements, and interpret VaR at multiple confidence levels (Excel).
Mortgage-Backed Securities (MBS): Understand MBS structure, cash flow mechanics, prepayment modeling (PSA curves, CPR, SMM), negative convexity, extension and contraction risk, and valuation techniques including OAS analysis for pass-through and MBS products (Excel).
Stochastic Interest Rate Models: Understand the relationship between short rates and forward rates and implement classical interest rate models such as Vasicek, CIR, Hull-White, and the HJM framework (Excel)
Interest Rate Derivatives Pricing: Analyze caps, floors, collars, and swaptions, and learn pricing methodologies using the Black-76 model and Monte Carlo simulation (Excel)
Course Content
Introduction to Bonds
Syllabus
06:39
Introduction to Bonds
55:03
Types of Fixed Income Bonds
55:36
Time Value of Money, Compounding & Bond Pricing
Time Value of Money
01:00:38
How Compounding works?
41:03
Compounding in Bonds (Excel)
23:46
Bond Pricing (Primary vs Secondary Market)
01:01:32
Bond Pricing (Premium, Discount & Par)
25:58
Term Structure of Interest Rates
Term Structure of Interest Rates
35:54
Bond Pricing Using Spot Rate
41:31
Bond Pricing Using Forward Rate
31:03
How to Calculate the Par Rate (Step-by-Step Guide)