Difference between revisions of "Excess (Deficiency) Problems"

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|-
 
|-
|| undiscounted liabilities at Dec 31, 2021 for AYs 2021 & prior
+
|| undiscounted liabilities at Dec 31, '''2021''' for AYs 2021 & prior
 
|| $100
 
|| $100
  
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|-
 
|-
|| undiscounted liabilities at Dec 31, 2021 for AYs 2021 & prior
+
|| undiscounted liabilities at Dec 31, '''2022''' for AYs 2021 & prior
 
|| $70
 
|| $70
  
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|-
 
|-
|| undiscounted liabilities at Dec 31, 2021 for AYs 2021 & prior
+
|| undiscounted liabilities at Dec 31, '''2021''' for AYs 2021 & prior
 
|| $100
 
|| $100
  
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|-
 
|-
|| undiscounted liabilities at Dec 31, 2021 for AYs 2021 & prior
+
|| undiscounted liabilities at Dec 31, '''2022''' for AYs 2021 & prior
 
|| $73
 
|| $73
  
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:* excess (deficiency)
 
:* excess (deficiency)
 
:: = 100 - 30 - 73
 
:: = 100 - 30 - 73
:: = 3
+
:: = -3
  
:: → the actuary's prior estimate of the liabilities was deficiency by $3 ''(as measured against the latest available information)''
+
:: → the actuary's prior estimate of the liabilities was deficient by $3 ''(as measured against the latest available information)''

Latest revision as of 23:09, 22 July 2022

Problem 1: Calculate and interpret the excess (deficiency).

undiscounted liabilities at Dec 31, 2021 for AYs 2021 & prior $100
paid during CY 2022 for AYs 2021 & prior $30
undiscounted liabilities at Dec 31, 2022 for AYs 2021 & prior $70
  • excess (deficiency)
= 100 - 30 - 70
= 0
→ there is neither an excess nor a deficiency - the actuary's prior estimate of the liabilities was accurate (as measured against the latest available information)

Problem 2: Calculate and interpret the excess (deficiency).

undiscounted liabilities at Dec 31, 2021 for AYs 2021 & prior $100
paid during CY 2022 for AYs 2021 & prior $30
undiscounted liabilities at Dec 31, 2022 for AYs 2021 & prior $73
  • excess (deficiency)
= 100 - 30 - 73
= -3
→ the actuary's prior estimate of the liabilities was deficient by $3 (as measured against the latest available information)