Chp 22 Example is section 4.7

Discussion in 'SA4' started by superbim, Mar 14, 2012.

  1. superbim

    superbim Member

    Can someone please explain how the got that a 1% decrease in the net interest rate post- retirement results in:

    a 14% increase in non pensioner liabilities

    a 12% increase in pensioner liabilities.


    I though that a 1% change in the discount rate would change the active liabilities by 1% for each year of expected future working life. The future life of actives is 25 years so I though it would change the liabilities for actives by 25%. Please let me know where I am going wrong.
     
  2. Can someone please explain how the got that a 1% decrease in the net interest rate post- retirement results in:

    a 14% increase in non pensioner liabilities

    a 12% increase in pensioner liabilities.


    This is a rough rule of thumb, not an exact science.

    If you have an annuity generator at work, generate two annuities, one on a discount rate of say 4% pa, and one on a discount rate of say 5% pa. The one with the 4% discount rate should be in the region of 10%-15% bigger than the one with the 5% discount rate.

    Also try doing this with different assumed life expectancies. The longer the assumed life expectancy the bigger the percentage, which is why a higher percentage is often used for non-pensioners (eg 14%), where there is allowance for improvements.


    I though that a 1% change in the discount rate would change the active liabilities by 1% for each year of expected future working life. The future life of actives is 25 years so I though it would change the liabilities for actives by 25%. Please let me know where I am going wrong.

    The above rule only estimates the effect on the liabilities post-retirement.

    If the pre-retirement discount rate reduces by 1% pa as well, then the effect will be to increase the liabilities by about 1% for each year the member is from retirement.

    In the example in Section 4.7, the member is 25 years from retirement and the change of 25% relates to pre-retirement.

    The post-retirement switch of 14% is in addition.


    Hope this helps

    Best wishes

    Stuart Underwood
    ActEd Tutor
     
    Last edited by a moderator: Mar 18, 2012
  3. superbim

    superbim Member

    Thanks for the explanation
     

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