Difference between revisions of "Combined Ratio"

 
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==Combined Ratio==
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The most important indicator of profitability in the '''insurance business''' is known as the '''combined ratio''', which is the cost of claims plus the other cost of claims, divided by the total collected premiums. The formula helps to measure the performance of insurance companies<ref>D. Skipton, 2015, p. 21</ref>
The most important indicator of profitability in the insurance business is known as the combined ratio, which is the cost of claims plus the other cost of claims, divided by the total collected premiums. The formula helps to measure the performance of insurance companies<ref>D. Skipton, 2015, p. 21</ref>
 
  
The calculation of loss ratio [[insurance]] costs plus compensation modification costs about net received premiums. An increasing loss ratio means rising insurance costs relative to the premiums, which may be due to higher claim costs, decreased premium revenue, or a combination of both. The [[cost]] ratio calculates the level of operating expenditure underwriting relative to the net premiums earned and is a measure of [[quality]] underwriting. The '''combined ratio''' is an approximate indicator of the underwriting [[efficiency]] of a property or casualty insurer <ref>[[Government]] Accountability Office, 2010, p. 74</ref>.
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The calculation of loss ratio [[insurance]] costs plus compensation modification costs about net received premiums. An increasing loss ratio means rising insurance costs relative to the premiums, which may be due to higher claim costs, decreased premium revenue, or a combination of both. The [[cost]] ratio calculates the level of operating expenditure underwriting relative to the net premiums earned and is a measure of [[quality]] underwriting. The '''combined ratio''' is an approximate indicator of the underwriting [[efficiency]] of<ref>[[Government]] Accountability Office, 2010, p. 74</ref>.:
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* property insurer
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* casualty insurer.
  
 
==Combined Ratio Formula==
 
==Combined Ratio Formula==
According to a US insurance company "combined ratio determined by dividing losses and expenses incurred by net premium earned"<ref>CFA Institute, 2018, p. 279</ref>:
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According to a US insurance company '''"combined ratio determined by dividing losses and expenses incurred by net premium earned"'''<ref>CFA Institute, 2018, p. 279</ref>:
  
 
<math>\frac{Incurred\ losses + Expenses}{Earned\ premium}</math>
 
<math>\frac{Incurred\ losses + Expenses}{Earned\ premium}</math>
  
 
==Ratios determined by insurers==
 
==Ratios determined by insurers==
"Suppose that for a particular category of policies in a particular year the loss ratio is 75% and the expense ratio is 30%. The combined ratio is then 1O5 %. Sometimes a small [[dividend]] is paid to policyholders. Suppose that this is 1% of premiums. When this is taken into account we obtain what is referred to as the combined '''ratio after dividends'''. This is 106% in our example. This number suggests that the insurance [[company]] has lost 6% before tax on the policies being considered. In fact, this may not be the case. '''Premiums''' are generally paid by policyholders at the beginning of a year and payouts on claims are made during the year, or after the end of the year. The insurance company is therefore able to earn interest on the premiums during the time that elapses between the receipt of premiums and payouts. Suppose that, in our example, investment income is 9% of premiums received. When the investment income is taken into account, a ratio of 106 - 9 = 97% is obtained. This is reffered to as the operating ratio <ref>J. C. Hull 2012, p. 53</ref>."
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"Suppose that for a particular category of '''policies''' in a particular year the loss ratio is 75% and the expense ratio is 30%. The combined ratio is then 105 %. Sometimes a small [[dividend]] is paid to policyholders. Suppose that this is 1% of premiums. When this is taken into account we obtain what is referred to as the combined '''ratio after dividends'''. This is 106% in our example. This number suggests that the insurance [[company]] has lost 6% before tax on the policies being considered. This may not be the case<ref>J. C. Hull 2012, p. 53</ref>.
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'''Premiums''' are generally paid by policyholders at the beginning of a year and payouts on claims are made during the year or after the end of the year. The insurance company is, therefore, able to earn interest on the premiums during the time that elapses between the receipt of premiums and payouts. Suppose that, in our example, '''investment income''' is 9% of premiums received. When the investment income is taken into account, a ratio of 106 - 9 = 97% is obtained. This is referred to as the '''operating ratio''' <ref>J. C. Hull 2012, p. 53</ref>."
  
 
==References==
 
==References==
 
* CFA Institute, (2018)., [https://books.google.pl/books?id=jg1rDwAAQBAJ&pg=RA2-PA279&dq=combined+ratio+formula&hl=pl&sa=X&ved=0ahUKEwir0N3I4eDlAhUywMQBHUI-C98Q6AEISjAD#v=onepage&q=combined%20ratio%20formula&f=false ''CFA Program Curriculum 2019 Level I Volumes 1-6 Box Set''], John Wiley & Sons, United States of America
 
* CFA Institute, (2018)., [https://books.google.pl/books?id=jg1rDwAAQBAJ&pg=RA2-PA279&dq=combined+ratio+formula&hl=pl&sa=X&ved=0ahUKEwir0N3I4eDlAhUywMQBHUI-C98Q6AEISjAD#v=onepage&q=combined%20ratio%20formula&f=false ''CFA Program Curriculum 2019 Level I Volumes 1-6 Box Set''], John Wiley & Sons, United States of America
 
* Hull J. C., (2012), [https://books.google.pl/books?id=06ouqLABGyoC&pg=PA53&dq=combined+ratio&hl=pl&sa=X&ved=0ahUKEwiehean0-DlAhWLw6YKHdCqB7QQ6AEIYjAG#v=onepage&q=combined%20ratio&f=false ''Risk Management and Financial Institutions''], John Wiley & Sons, United States of America  
 
* Hull J. C., (2012), [https://books.google.pl/books?id=06ouqLABGyoC&pg=PA53&dq=combined+ratio&hl=pl&sa=X&ved=0ahUKEwiehean0-DlAhWLw6YKHdCqB7QQ6AEIYjAG#v=onepage&q=combined%20ratio&f=false ''Risk Management and Financial Institutions''], John Wiley & Sons, United States of America  
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* J. D. Cummins, B. Venard, (2007)., [https://books.google.pl/books?id=VjHbtzEKBtIC&pg=PA277&dq=combined+ratio&hl=pl&sa=X&ved=0ahUKEwiehean0-DlAhWLw6YKHdCqB7QQ6AEIMzAB#v=onepage&q=combined%20ratio&f=false ''Handbook of International Insurance: Between Global Dynamics and Local Contingencies''], Springer Science & Business Media, United States of America
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* Saporito P. L., (2014), [https://books.google.pl/books?id=TwnVAwAAQBAJ&pg=PA40&dq=combined+ratio+use&hl=pl&sa=X&ved=0ahUKEwiehefx4-DlAhU8wcQBHWJeCKkQ6AEIVjAF#v=onepage&q=combined%20ratio%20use&f=false ''Applied Insurance Analytics: A Framework for Driving More Value from Data Assets, Technologies, and Tools''], FT Press, United States of America
 
* Skipton D., (2015), [https://books.google.pl/books?id=C2YdCwAAQBAJ&pg=PA21&dq=combined+ratio+use&hl=pl&sa=X&ved=0ahUKEwiehefx4-DlAhU8wcQBHWJeCKkQ6AEIKTAA#v=onepage&q=combined%20ratio%20use&f=false ''The Claims Game: The Tricks and Deceptive Tactics Insurance Companies Use to Underpay or Deny Your Claim''], Lulu.com, United States of America
 
* Skipton D., (2015), [https://books.google.pl/books?id=C2YdCwAAQBAJ&pg=PA21&dq=combined+ratio+use&hl=pl&sa=X&ved=0ahUKEwiehefx4-DlAhU8wcQBHWJeCKkQ6AEIKTAA#v=onepage&q=combined%20ratio%20use&f=false ''The Claims Game: The Tricks and Deceptive Tactics Insurance Companies Use to Underpay or Deny Your Claim''], Lulu.com, United States of America
* U. S. Government Accountability Office, (2010)., [https://books.google.pl/books?id=fYt6XmWxsLwC&pg=PA74&dq=combined+ratio&hl=pl&sa=X&ved=0ahUKEwiwyeyk1-DlAhWtwqYKHVeOCHYQ6AEIRTAD#v=onepage&q=combined%20ratio&f=false ''Troubled Asset Relief Program: Update of Government Assistance Provided to AIG''], DIANE Publishing, United States of America  
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* U. S. Government Accountability Office, (2010)., [https://books.google.pl/books?id=fYt6XmWxsLwC&pg=PA74&dq=combined+ratio&hl=pl&sa=X&ved=0ahUKEwiwyeyk1-DlAhWtwqYKHVeOCHYQ6AEIRTAD#v=onepage&q=combined%20ratio&f=false ''Troubled Asset Relief Program: Update of Government Assistance Provided to AIG''], Diane Publishing, United States of America  
  
 
==Footnotes==
 
==Footnotes==

Latest revision as of 01:07, 11 November 2019

The most important indicator of profitability in the insurance business is known as the combined ratio, which is the cost of claims plus the other cost of claims, divided by the total collected premiums. The formula helps to measure the performance of insurance companies[1]

The calculation of loss ratio insurance costs plus compensation modification costs about net received premiums. An increasing loss ratio means rising insurance costs relative to the premiums, which may be due to higher claim costs, decreased premium revenue, or a combination of both. The cost ratio calculates the level of operating expenditure underwriting relative to the net premiums earned and is a measure of quality underwriting. The combined ratio is an approximate indicator of the underwriting efficiency of[2].:

  • property insurer
  • casualty insurer.

Combined Ratio Formula[edit]

According to a US insurance company "combined ratio determined by dividing losses and expenses incurred by net premium earned"[3]\[\frac{Incurred\ losses + Expenses}{Earned\ premium}\]

Ratios determined by insurers[edit]

"Suppose that for a particular category of policies in a particular year the loss ratio is 75% and the expense ratio is 30%. The combined ratio is then 105 %. Sometimes a small dividend is paid to policyholders. Suppose that this is 1% of premiums. When this is taken into account we obtain what is referred to as the combined ratio after dividends. This is 106% in our example. This number suggests that the insurance company has lost 6% before tax on the policies being considered. This may not be the case[4].

Premiums are generally paid by policyholders at the beginning of a year and payouts on claims are made during the year or after the end of the year. The insurance company is, therefore, able to earn interest on the premiums during the time that elapses between the receipt of premiums and payouts. Suppose that, in our example, investment income is 9% of premiums received. When the investment income is taken into account, a ratio of 106 - 9 = 97% is obtained. This is referred to as the operating ratio [5]."

References[edit]

Footnotes[edit]

  1. D. Skipton, 2015, p. 21
  2. Government Accountability Office, 2010, p. 74
  3. CFA Institute, 2018, p. 279
  4. J. C. Hull 2012, p. 53
  5. J. C. Hull 2012, p. 53

Author: Aleksandra Walawska