I have to estimate CVA for an exotic option. I used Monte Carlo method to price the option with 1000 number of simulation, maturity = 1 year, and 360 time steps. So I have two questions:

  1. I've read in many papers that counterparty's probability of default can be estimated by CDS. How can I do it? I'm working in Matlab
  2. Is the probability of default costant over the time steps?

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