Sumários

Stochastic term structure models - simulation

22 Outubro 2026, 08:00 • TIAGO MARQUES FARDILHA

Discrete time approximation of the Vasijek and CIR models. Script example S7 - using the discrete time CIR approximation to make a six months ahead simulation of a change in the yield curve. Check different scenarios on how that change could affect the PV of our liabilites and assets cashflows from a previous example (script S5).


Stochastic Term Structure Models - CIR Model and Vasicek Model

15 Outubro 2026, 08:00 • TIAGO MARQUES FARDILHA

R coding - left joins.

Cox-Ingersol-Ross model and Vasicek model - approximating a yield curve using R and checking the impact of the approximated interest rates in the immunized portfolio of assets computed in previous examples.


Immunization using Duration and Convexity. Introduction to Term Structure Statistical Models.

8 Outubro 2026, 08:00 • TIAGO MARQUES FARDILHA

Continuation of the practical examples using R on immunization of a liability cash flow using three bonds. Data tidying with R (script r4ds05.R). Introduction to Term Structure Statistical Models: Purpose and theoretical background.


Assets and Liabilities Matching and Immunization

1 Outubro 2026, 08:00 • TIAGO MARQUES FARDILHA

Practical examples using R involving:

  •  matching assets with liabilities;
  • first order immunization (using dollar duration)
  • second order immunization (using dollar duration and dollar convexity).


Present Value Sensitivity - Examples

24 Setembro 2026, 08:00 • TIAGO MARQUES FARDILHA

Estimating present value sensitivity using duration and convexity - examples on bonds using R. Properties of duration and convexity. Different concepts of duration.


Interest rate risk management - concepts of matching and immunization.