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Europe public debt CDS history                                                         probability of "credit event"
                                                                                                                                                                    in following 5 years
                                                                                                                                                                    (with recovery rate = 40 %)
             2400
                                                                                                                                                                                                         86 % ("8:1")
                                                 gr
             2000                                ie                                                                                                                                                      81 % ("4:1")
                                                 pt
                                                 es
             1600                                                                                                                                                                                        74 % ("3:1")
CDS points




             1200
                                                                                                                                                                                                         63 % ("2:1")

              800                                                                                                                                                                                        49 % ("1:1")


              400
                                                                                                                                                                                                         28 % ("1:2")

               0                                                                                                                                                                                          0%
                    12/31/2005

                                 7/1/2006

                                            12/31/2006

                                                         7/1/2007

                                                                    12/31/2007

                                                                                 7/1/2008

                                                                                            12/30/2008

                                                                                                         7/1/2009

                                                                                                                    12/31/2009

                                                                                                                                 7/1/2010

                                                                                                                                            12/31/2010

                                                                                                                                                         7/2/2011

                                                                                                                                                                    12/31/2011

                                                                                                                                                                                 7/1/2012

                                                                                                                                                                                            12/31/2012
interest rate deltas (~ 10 year bonds *, relative to benchmark
                                                bunds)
20%                                                                                                                                  probability
                              de
                                                                                                                                     of "credit
                              fr                        de    Germany
                                                                                                                                     event"
                              at                        fr   France                                                                  in next 5
                                                        at   Austria
16%                           be                                                                                                     years,
                              it                        be    Belgium                                                                roughly !!
                              es                        it   Italy
                              pt                        es   Spain
12%                           ie                        pt   Portugal
                                                        ie   Ireland
                                                                                                                                     70 %
                              gr
                              gr_model                  gr    Greece
                              ie_model
8%                            pt_model                                                                                               50%
                              es_model
                              it_model
                              be_model
4%                                                                                                                                   25%

                                                                                                                                     10%
0%
                                                                                                                                     0%
      12/31/2009



                          4/1/2010



                                           7/1/2010



                                                             9/30/2010



                                                                         12/31/2010



                                                                                      4/1/2011



                                                                                                 7/1/2011



                                                                                                            10/1/2011



                                                                                                                        12/31/2011
                   * pt 5 years for data availability
Financial mechanics of
interest rate spreads / CDS / default probabilities

All cited data sources are reliable, and long term freely available

- Typical assessment of interest rates with percentage numbers for
3 month / 10 year (see e.g. http://www.economist.com/markets-data,
look for “trade exchange rates …) or
http://www.bloomberg.com/markets/rates-bonds/government-bonds/germany/)

- Typical CDS contracts for n = 5 years, with a r = 40 % “recovery rate”, cited with
points p (1 = 100 % = 10000 points, data from e.g. Markit(R) ,
shown at e.g. http://ftalphaville.ft.com/, or bloomberg
derived Default probability d = 1   - EXP(- n * p / (1-r) )

most simple, analytical approximation ONLY !


(interest) Rates and (CDS) points are normally strongly correlated

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CDS Europe government history

  • 1. Europe public debt CDS history probability of "credit event" in following 5 years (with recovery rate = 40 %) 2400 86 % ("8:1") gr 2000 ie 81 % ("4:1") pt es 1600 74 % ("3:1") CDS points 1200 63 % ("2:1") 800 49 % ("1:1") 400 28 % ("1:2") 0 0% 12/31/2005 7/1/2006 12/31/2006 7/1/2007 12/31/2007 7/1/2008 12/30/2008 7/1/2009 12/31/2009 7/1/2010 12/31/2010 7/2/2011 12/31/2011 7/1/2012 12/31/2012
  • 2. interest rate deltas (~ 10 year bonds *, relative to benchmark bunds) 20% probability de of "credit fr de Germany event" at fr France in next 5 at Austria 16% be years, it be Belgium roughly !! es it Italy pt es Spain 12% ie pt Portugal ie Ireland 70 % gr gr_model gr Greece ie_model 8% pt_model 50% es_model it_model be_model 4% 25% 10% 0% 0% 12/31/2009 4/1/2010 7/1/2010 9/30/2010 12/31/2010 4/1/2011 7/1/2011 10/1/2011 12/31/2011 * pt 5 years for data availability
  • 3. Financial mechanics of interest rate spreads / CDS / default probabilities All cited data sources are reliable, and long term freely available - Typical assessment of interest rates with percentage numbers for 3 month / 10 year (see e.g. http://www.economist.com/markets-data, look for “trade exchange rates …) or http://www.bloomberg.com/markets/rates-bonds/government-bonds/germany/) - Typical CDS contracts for n = 5 years, with a r = 40 % “recovery rate”, cited with points p (1 = 100 % = 10000 points, data from e.g. Markit(R) , shown at e.g. http://ftalphaville.ft.com/, or bloomberg derived Default probability d = 1 - EXP(- n * p / (1-r) ) most simple, analytical approximation ONLY ! (interest) Rates and (CDS) points are normally strongly correlated