Given the registry of the premiums of an insurance company for years 2005, 2006, 2007 and...

   

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Given the registry of the premiums of an insurance company for years 2005, 2006, 2007 and 2008. Issue Date of Cover Period Receipt the Receipt From Until Amounts (in ) 1.2.05 1.2.05 1.8.05 6.000 1.5.05 1.5.05 1.11.05 4.000 1.8.05 1.8.05 1.2.06 5.200 1.2.06 1.2.06 1.8.06 3.400 1.4.06 1.4.06 1.10.06 4.800 1.10.06 1.10.06 1.4.07 6.200 1.1.07 1.1.07 1.7.07 2.600 1.3.07 1.3.07 1.9.07 2.800 1.11.07 1.11.07 1.5.08 7.800 1.1.08 1.1.08 1.7.08 6.000 1.7.08 1.7.08 1.1.09 2.800 1.10.08 1.10.08 1.4.09 4.000 The insurance company (where the particular registry belongs) has followed this policy of fluctuations in the individual premiums. Date : 1.12.2004 Increase / Decrease: +10% 1.10.2007 1.12.2007 -5% +5% Calculate the adjusted earned premiums per year for the time period 1.1.2005 - 31.12.2008 with both methods i) The extension of the "risk exposure" technique and ii) the method of the parallelogram. Comment and justify the unequal relation of the results above. Given the registry of the premiums of an insurance company for years 2005, 2006, 2007 and 2008. Issue Date of Cover Period Receipt the Receipt From Until Amounts (in ) 1.2.05 1.2.05 1.8.05 6.000 1.5.05 1.5.05 1.11.05 4.000 1.8.05 1.8.05 1.2.06 5.200 1.2.06 1.2.06 1.8.06 3.400 1.4.06 1.4.06 1.10.06 4.800 1.10.06 1.10.06 1.4.07 6.200 1.1.07 1.1.07 1.7.07 2.600 1.3.07 1.3.07 1.9.07 2.800 1.11.07 1.11.07 1.5.08 7.800 1.1.08 1.1.08 1.7.08 6.000 1.7.08 1.7.08 1.1.09 2.800 1.10.08 1.10.08 1.4.09 4.000 The insurance company (where the particular registry belongs) has followed this policy of fluctuations in the individual premiums. Date : 1.12.2004 Increase / Decrease: +10% 1.10.2007 1.12.2007 -5% +5% Calculate the adjusted earned premiums per year for the time period 1.1.2005 - 31.12.2008 with both methods i) The extension of the "risk exposure" technique and ii) the method of the parallelogram. Comment and justify the unequal relation of the results above.