HW4

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Illinois State University *

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354

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Industrial Engineering

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Feb 20, 2024

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docx

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FIL354 Risk Management Homework 4 Loss Triangle Please submit your typed answers. Make sure that you format each table professionally. 1. ABC Corporation manufactures electronic devices. The following table shows the number of consumer injury claims filed against ABC in the past five years. Loss Year 2012 2013 2014 2015 2016 Experience Year 2012 5 8 10 18 27 2013 2 6 8 16 2014 3 7 10 2015 5 8 2016 8 a). Given the above data, estimate the number of claims in year 2017, 2018 and 2019 associated with products sold in year 2016. Round all calculations to two decimal points. Step 1: Calculate the loss development factors and put your answers in the table below. (3 points) Development Period Year 1-2 Year 2-3 Year 3-4 Year 4-5 2012 2013 2014 2015 Mean Factor Mean factor = the average of the corresponding column. 1
FIL354 Risk Management Step 2: Complete the unshaded area below. Show your calculations, in full, for each step. (i.e. show the full computation for each year) (3 points) Loss Year 2012 2013 2014 2015 2016 2017 2018 2019 Experience Year 2012 5 8 10 18 27 2013 2 6 8 16 2014 3 7 10 2015 5 8 2016 8 b). Based on historical data, assume you have estimated the average dollar amount of loss per claim for the next couple of years (see the table below). How much money should you budget today (year 2017) for future claims associated with products sold in 2016? Assume interst rate is 6% for the next five years. Round all calculations to two decimal points. (4 points) Year int. rate $ per claim t PV per claim in 2017 Number of Claims PV of claims 2017 6.00% $11,900 0 2018 6.00% $12,500 1 2019 6.00% $12,900 2 Total 2
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