Chapter 19: Credit risk Flashcards
Credit risk
When a party may default on its obligations
Credit event
An event that may trigger a default on a bond
recovery rate
The fraction of the defaulted amount that can be recovered through bankruptcy proceedings or some other form of settlement
Expected loss
exposure xprobability of default x loss given default
* Loss given default is a percentage, incase there is some recovery through bankrupcy proceedings or other settlement processes
Ways in which a company can default
Contracted payment stream:
* is rescheduled
* is cancelled by the payment of an amount which is less than the default-free value of the original contract. - OTP
* continued but at a reduced rate.
* Is totally wiped out. -no recovery
Structural models
- Used for companies issuing both shares and bonds, which aim to link default events explicitly to the fortunes of the issuing company.
- Too simple for pricing credit risk
- Difficult to choose the correct model and identify its parameters
Reduced-form models
- Statistical models that use observed market statistics such as credit ratings
- Can usually be fitted to the data
- Model how companies move between different models of credit worthiness
Intensity-based models
- Particular type of reduced form model
The Merton model
- Assumes that the company holds both equities and bonds.
- It is a structural form model.
- The shareholders of the company can be regarded as having a European call option on the fund value with a strike price equal to the bond value.
- The bondholders can be regarded as having cash and short a put European option on the fund value with a strike price equal to the bond value.
- The fund value is typically assumed to follow a geometric brownian motion
Expected loss
exposure xprobability of default x loss given default
* Loss given default is a percentage, incase there is some recovery through bankrupcy proceedings or other settlement processes