Serving the Quantitative Finance Community

 
User avatar
almostcutmyhair
Topic Author
Posts: 0
Joined: April 18th, 2009, 8:22 pm

simulating CIR process

January 20th, 2016, 10:56 pm

Here is a dumb question: Let's say I'm simulating a CIR process using an approximation scheme. How do I test and validate that the process that I simulated is indeed a CIR process?
 
User avatar
CrimsonKodo
Posts: 0
Joined: February 12th, 2015, 3:37 pm

simulating CIR process

January 21st, 2016, 8:04 am

you can compare the theoretic laplace transform with the simulated one
 
User avatar
Cuchulainn
Posts: 22929
Joined: July 16th, 2004, 7:38 am

simulating CIR process

January 21st, 2016, 1:25 pm

Why not simulate the CIR process in terms of its (known) transition density? i.e. it is a non-central Chi^2 distribution.
 
User avatar
Alan
Posts: 3050
Joined: December 19th, 2001, 4:01 am
Location: California
Contact:

simulating CIR process

January 21st, 2016, 2:26 pm

Compare vs. low moments of the terminal distribution, plus various analytic solutions for derivatives.