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Table 5 Comparison of results using PDEs and Monte-Carlo methods for the two default case

From: Credit contingent interest rate swap pricing

 

PDE(ADI)

PDE(ADI)

Monte Carlo 99.9% confidence interval

 

time steps 600

time steps 2000

time steps 2000

Price

$ 2,264.26

$ 2,263.50

$ [2202.96, 2264.08]

Time (seconds)

4.07

14.68

660

  1. (maturity=5, K=0.00909, 1 million simulation paths)