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25. Estimating Default Probabilities

  • d. Describe a rating migration matrix and calculate the probability of default, cumulative probability of default, and marginal probability of default
  • a. Compare agencies’ ratings to internal credit rating systems
  • e. Define the hazard rate and use it to define probability functions for default time as well as to calculate conditional and unconditional default probabilities
  • f. Describe recovery rates and their dependencies on default rates
  • g. Define a credit default swap (CDS) and explain its mechanics including the obligations of both the default protection buyer and the default protection seller
  • h. Describe CDS spreads and explain how CDS spreads can be used to estimate hazard rates
  • i. Define and explain CDS-bond basis
  • j. Compare default probabilities calculated from historical data with those calculated from credit yield spreads
  • k. Describe the difference between real-world and risk-neutral default probabilities and determine which one to use in the analysis of credit risk
  • l. Using the Merton model, calculate the value of a firm’s debt and equity, the volatility of firm value, and the volatility of firm equity
  • m. Using the Merton model, calculate distance to default and default probability
  • n. Assess the quality of the default probabilities produced by the Merton model, the Moody’s KMV model, and the Kamakura model

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