Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
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Chapter 16.4, Problem 15E
To determine
To calculate: The multiplication of binary numbers
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Questions
An insurance company's cumulative incurred claims for the last 5 accident years are given
in the following table:
Development Year
Accident Year 0
2018
1 2 3 4
245 267 274 289 292
2019
255 276 288 294
2020
265 283 292
2021
263 278
2022
271
It can be assumed that claims are fully run off after 4 years. The premiums received for
each year are:
Accident Year Premium
2018
306
2019
312
2020
318
2021
326
2022
330
You do not need to make any allowance for inflation.
1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method.
(b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method.
2. Comment on the differences in the reserves produced by the methods in Part 1.
Chapter 16 Solutions
Elementary Technical Mathematics
Ch. 16.1 - Change each binary number to decimal form: 11Ch. 16.1 - Prob. 2ECh. 16.1 - Prob. 3ECh. 16.1 - Prob. 4ECh. 16.1 - Prob. 5ECh. 16.1 - Prob. 6ECh. 16.1 - Prob. 7ECh. 16.1 - Prob. 8ECh. 16.1 - Prob. 9ECh. 16.1 - Prob. 10E
Ch. 16.1 - Prob. 11ECh. 16.1 - Prob. 12ECh. 16.1 - Prob. 13ECh. 16.1 - Prob. 14ECh. 16.1 - Prob. 15ECh. 16.1 - Prob. 16ECh. 16.1 - Change each binary number to decimal form:...Ch. 16.1 - Prob. 18ECh. 16.1 - Change each binary number to decimal form: 111111Ch. 16.1 - Prob. 20ECh. 16.2 - Prob. 1ECh. 16.2 - Prob. 2ECh. 16.2 - Prob. 3ECh. 16.2 - Prob. 4ECh. 16.2 - Prob. 5ECh. 16.2 - Prob. 6ECh. 16.2 - Prob. 7ECh. 16.2 - Prob. 8ECh. 16.2 - Prob. 9ECh. 16.2 - Prob. 10ECh. 16.2 - Prob. 11ECh. 16.2 - Prob. 12ECh. 16.2 - Prob. 13ECh. 16.2 - Prob. 14ECh. 16.2 - Prob. 15ECh. 16.2 - Add the following binary numbers and check your...Ch. 16.2 - Prob. 17ECh. 16.2 - Prob. 18ECh. 16.2 - Prob. 19ECh. 16.2 - Prob. 20ECh. 16.2 - Prob. 21ECh. 16.2 - Prob. 22ECh. 16.2 - Prob. 23ECh. 16.2 - Add the following binary numbers and check your...Ch. 16.2 - Prob. 25ECh. 16.2 - Prob. 26ECh. 16.2 - Add the following binary numbers and check your...Ch. 16.2 - Prob. 28ECh. 16.2 - Prob. 29ECh. 16.2 - Prob. 30ECh. 16.3 - Prob. 1ECh. 16.3 - Prob. 2ECh. 16.3 - Subtract the following binary numbers and check in...Ch. 16.3 - Prob. 4ECh. 16.3 - Subtract the following binary numbers and check in...Ch. 16.3 - Subtract the following binary numbers and check in...Ch. 16.3 - Prob. 7ECh. 16.3 - Prob. 8ECh. 16.3 - Prob. 9ECh. 16.3 - Subtract the following binary numbers and check in...Ch. 16.3 - Subtract the following binary numbers and check in...Ch. 16.3 - Prob. 12ECh. 16.3 - Prob. 13ECh. 16.3 - Prob. 14ECh. 16.3 - Subtract the following binary numbers and check in...Ch. 16.3 - Prob. 16ECh. 16.3 - Prob. 17ECh. 16.3 - Subtract the following binary numbers and check in...Ch. 16.3 - Prob. 19ECh. 16.3 - Prob. 20ECh. 16.3 - Prob. 21ECh. 16.3 - Prob. 22ECh. 16.3 - Prob. 23ECh. 16.3 - Prob. 24ECh. 16.3 - Prob. 25ECh. 16.3 - Prob. 26ECh. 16.3 - Prob. 27ECh. 16.3 - Prob. 28ECh. 16.3 - Prob. 29ECh. 16.3 - Use the 1s complement method to subtract the...Ch. 16.3 - Prob. 31ECh. 16.3 - Prob. 32ECh. 16.3 - Prob. 33ECh. 16.3 - Prob. 34ECh. 16.3 - Prob. 35ECh. 16.3 - Prob. 36ECh. 16.4 - Prob. 1ECh. 16.4 - Prob. 2ECh. 16.4 - Multiply the following binary numbers: 11010_Ch. 16.4 - Prob. 4ECh. 16.4 - Prob. 5ECh. 16.4 - Prob. 6ECh. 16.4 - Prob. 7ECh. 16.4 - Prob. 8ECh. 16.4 - Prob. 9ECh. 16.4 - Prob. 10ECh. 16.4 - Prob. 11ECh. 16.4 - Prob. 12ECh. 16.4 - Prob. 13ECh. 16.4 - Multiply the following binary numbers: 101101101_Ch. 16.4 - Prob. 15ECh. 16.4 - Prob. 16ECh. 16.4 - Prob. 17ECh. 16.4 - Prob. 18ECh. 16.4 - Prob. 19ECh. 16.4 - Prob. 20ECh. 16.5 - Prob. 1ECh. 16.5 - Prob. 2ECh. 16.5 - Prob. 3ECh. 16.5 - Prob. 4ECh. 16.5 - Prob. 5ECh. 16.5 - Prob. 6ECh. 16.5 - Prob. 7ECh. 16.5 - Prob. 8ECh. 16.5 - Prob. 9ECh. 16.5 - Prob. 10ECh. 16.5 - Prob. 11ECh. 16.5 - Prob. 12ECh. 16.5 - Prob. 13ECh. 16.5 - Prob. 14ECh. 16.5 - Prob. 15ECh. 16.5 - Prob. 16ECh. 16.5 - Prob. 17ECh. 16.5 - Prob. 18ECh. 16.5 - Prob. 19ECh. 16.5 - Prob. 20ECh. 16.6 - Prob. 1ECh. 16.6 - Prob. 2ECh. 16.6 - Prob. 3ECh. 16.6 - Prob. 4ECh. 16.6 - Prob. 5ECh. 16.6 - Prob. 6ECh. 16.6 - Prob. 7ECh. 16.6 - Prob. 8ECh. 16.6 - Prob. 9ECh. 16.6 - Prob. 10ECh. 16.6 - Prob. 11ECh. 16.6 - Prob. 12ECh. 16.6 - Prob. 13ECh. 16.6 - Prob. 14ECh. 16.6 - Prob. 15ECh. 16.6 - Prob. 16ECh. 16.6 - Prob. 17ECh. 16.6 - Prob. 18ECh. 16.6 - Prob. 19ECh. 16.6 - Change each binary number to decimal form:...Ch. 16.7 - Prob. 1ECh. 16.7 - Prob. 2ECh. 16.7 - Prob. 3ECh. 16.7 - Prob. 4ECh. 16.7 - Prob. 5ECh. 16.7 - Prob. 6ECh. 16.7 - Prob. 7ECh. 16.7 - Prob. 8ECh. 16.7 - Prob. 9ECh. 16.7 - Prob. 10ECh. 16.7 - Prob. 11ECh. 16.7 - Prob. 12ECh. 16.7 - Prob. 13ECh. 16.7 - Change each hexadecimal number to decimal form:...Ch. 16.7 - Prob. 15ECh. 16.7 - Prob. 16ECh. 16.7 - Prob. 17ECh. 16.7 - Prob. 18ECh. 16.7 - Prob. 19ECh. 16.7 - Prob. 20ECh. 16.7 - Prob. 21ECh. 16.7 - Prob. 22ECh. 16.7 - Prob. 23ECh. 16.7 - Prob. 24ECh. 16.7 - Prob. 25ECh. 16.7 - Prob. 26ECh. 16.7 - Prob. 27ECh. 16.7 - Prob. 28ECh. 16.7 - Prob. 29ECh. 16.7 - Prob. 30ECh. 16.8 - Prob. 1ECh. 16.8 - Prob. 2ECh. 16.8 - Prob. 3ECh. 16.8 - Prob. 4ECh. 16.8 - Prob. 5ECh. 16.8 - Prob. 6ECh. 16.8 - Prob. 7ECh. 16.8 - Prob. 8ECh. 16.8 - Prob. 9ECh. 16.8 - Prob. 10ECh. 16.8 - Prob. 11ECh. 16.8 - Prob. 12ECh. 16.8 - Prob. 13ECh. 16.8 - Prob. 14ECh. 16.8 - Prob. 15ECh. 16.8 - Prob. 16ECh. 16.8 - Prob. 17ECh. 16.8 - Prob. 18ECh. 16.8 - Prob. 19ECh. 16.8 - Prob. 20ECh. 16.8 - Prob. 21ECh. 16.8 - Prob. 22ECh. 16.8 - Prob. 23ECh. 16.8 - Prob. 24ECh. 16.8 - Prob. 25ECh. 16.8 - Prob. 26ECh. 16.8 - Add the following hexadecimal numbers. Check using...Ch. 16.8 - Prob. 28ECh. 16.8 - Prob. 29ECh. 16.8 - Prob. 30ECh. 16.8 - Prob. 31ECh. 16.8 - Prob. 32ECh. 16.8 - Prob. 33ECh. 16.8 - Prob. 34ECh. 16.8 - Prob. 35ECh. 16.8 - Prob. 36ECh. 16.8 - Prob. 37ECh. 16.8 - Prob. 38ECh. 16.8 - Prob. 39ECh. 16.8 - Prob. 40ECh. 16.8 - Prob. 41ECh. 16.8 - Prob. 42ECh. 16.8 - Prob. 43ECh. 16.8 - Prob. 44ECh. 16.8 - Prob. 45ECh. 16.8 - Prob. 46ECh. 16.8 - Prob. 47ECh. 16.8 - Prob. 48ECh. 16.8 - Prob. 49ECh. 16.8 - Prob. 50ECh. 16.8 - Prob. 51ECh. 16.8 - Prob. 52ECh. 16.8 - Prob. 53ECh. 16.8 - Prob. 54ECh. 16.8 - Prob. 55ECh. 16.8 - Prob. 56ECh. 16.8 - Prob. 57ECh. 16.8 - Prob. 58ECh. 16.8 - Prob. 59ECh. 16.8 - Prob. 60ECh. 16.9 - Prob. 1ECh. 16.9 - Prob. 2ECh. 16.9 - Prob. 3ECh. 16.9 - Prob. 4ECh. 16.9 - Prob. 5ECh. 16.9 - Prob. 6ECh. 16.9 - Prob. 7ECh. 16.9 - Prob. 8ECh. 16.9 - Prob. 9ECh. 16.9 - Prob. 10ECh. 16.9 - Prob. 11ECh. 16.9 - Prob. 12ECh. 16.9 - Prob. 13ECh. 16.9 - Prob. 14ECh. 16.9 - Prob. 15ECh. 16.9 - Prob. 16ECh. 16.9 - Prob. 17ECh. 16.9 - Prob. 18ECh. 16.9 - Prob. 19ECh. 16.9 - Prob. 20ECh. 16.9 - Prob. 21ECh. 16.9 - Prob. 22ECh. 16.9 - Prob. 23ECh. 16.9 - Change each binary number to hexadecimal form:...Ch. 16.9 - Prob. 25ECh. 16.9 - Prob. 26ECh. 16.9 - Prob. 27ECh. 16.9 - Prob. 28ECh. 16.9 - Prob. 29ECh. 16.9 - Prob. 30ECh. 16.9 - Prob. 31ECh. 16.9 - Prob. 32ECh. 16.9 - Prob. 33ECh. 16.9 - Prob. 34ECh. 16.9 - Prob. 35ECh. 16.9 - Prob. 36ECh. 16.9 - Prob. 37ECh. 16.9 - Prob. 38ECh. 16.9 - Prob. 39ECh. 16.9 - Prob. 40ECh. 16.9 - Prob. 41ECh. 16.9 - Prob. 42ECh. 16.9 - Prob. 43ECh. 16.9 - Prob. 44ECh. 16 - Prob. 1RCh. 16 - Prob. 2RCh. 16 - Prob. 3RCh. 16 - Prob. 4RCh. 16 - Prob. 5RCh. 16 - Prob. 6RCh. 16 - Add the following binary numbers: 1001110101_Ch. 16 - Prob. 8RCh. 16 - Prob. 9RCh. 16 - Prob. 10RCh. 16 - Prob. 11RCh. 16 - Prob. 12RCh. 16 - Prob. 13RCh. 16 - Prob. 14RCh. 16 - Prob. 15RCh. 16 - Prob. 16RCh. 16 - Prob. 17RCh. 16 - Prob. 18RCh. 16 - Prob. 19RCh. 16 - Prob. 20RCh. 16 - Prob. 21RCh. 16 - Prob. 22RCh. 16 - Prob. 23RCh. 16 - Prob. 24RCh. 16 - Prob. 25RCh. 16 - Prob. 26RCh. 16 - Prob. 27RCh. 16 - Prob. 28RCh. 16 - Prob. 29RCh. 16 - Prob. 30RCh. 16 - Prob. 1TCh. 16 - Prob. 2TCh. 16 - Prob. 3TCh. 16 - Prob. 4TCh. 16 - Prob. 5TCh. 16 - Prob. 6TCh. 16 - Prob. 7TCh. 16 - Prob. 8TCh. 16 - Prob. 9TCh. 16 - Prob. 10TCh. 16 - Prob. 11TCh. 16 - Prob. 12TCh. 16 - Prob. 13TCh. 16 - Prob. 14TCh. 16 - Prob. 15TCh. 16 - Prob. 16TCh. 16 - Prob. 17TCh. 16 - Prob. 18TCh. 16 - Prob. 19TCh. 16 - Prob. 20TCh. 16 - Prob. 1CRCh. 16 - Prob. 2CRCh. 16 - Prob. 3CRCh. 16 - Prob. 4CRCh. 16 - Prob. 5CRCh. 16 - Prob. 6CRCh. 16 - Prob. 7CRCh. 16 - Prob. 8CRCh. 16 - Prob. 9CRCh. 16 - Prob. 10CRCh. 16 - Prob. 11CRCh. 16 - Prob. 12CRCh. 16 - Prob. 13CRCh. 16 - Prob. 14CRCh. 16 - Prob. 15CRCh. 16 - Prob. 16CRCh. 16 - Prob. 17CRCh. 16 - Prob. 18CRCh. 16 - Prob. 19CRCh. 16 - Prob. 20CRCh. 16 - Prob. 21CRCh. 16 - Prob. 22CRCh. 16 - Prob. 23CRCh. 16 - Prob. 24CRCh. 16 - Do as indicated for the following binary numbers:...Ch. 16 - Prob. 26CRCh. 16 - Prob. 27CRCh. 16 - Prob. 28CRCh. 16 - Prob. 29CRCh. 16 - Prob. 30CR
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