Elementary Differential Equations and Boundary Value Problems, Enhanced
11th Edition
ISBN: 9781119381648
Author: Boyce
Publisher: WILEY
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Question
Chapter 10.4, Problem 22P
a.
To determine
The Fourier sine series for the function
b.
To determine
To graph: The function
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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 10 Solutions
Elementary Differential Equations and Boundary Value Problems, Enhanced
Ch. 10.1 - In each of Problems 1 through 13, either solve the...Ch. 10.1 - Prob. 2PCh. 10.1 - In each of Problems 1 through 13, either solve the...Ch. 10.1 - Prob. 4PCh. 10.1 - In each of Problems 1 through 13, either solve the...Ch. 10.1 - In each of Problems 1 through 13, either solve the...Ch. 10.1 - In each of Problems 1 through 13, either solve the...Ch. 10.1 - Prob. 8PCh. 10.1 - Prob. 9PCh. 10.1 - In each of Problems 1 through 13, either solve the...
Ch. 10.1 - Prob. 11PCh. 10.1 - In each of Problems 1 through 13, either solve the...Ch. 10.1 - Prob. 13PCh. 10.1 - In each of Problems 14 through 20, find the...Ch. 10.1 - In each of Problems 14 through 20, find the...Ch. 10.1 - In each of Problems 14 through 20, find the...Ch. 10.1 - Prob. 17PCh. 10.1 - In each of Problems 14 through 20, find the...Ch. 10.1 - In each of Problems 14 through 20, find the...Ch. 10.1 - The axially symmetric laminar flow of a viscous...Ch. 10.1 - Prob. 22PCh. 10.2 - In each of Problems 1 through 8, determine whether...Ch. 10.2 - Prob. 2PCh. 10.2 - Prob. 3PCh. 10.2 - Prob. 4PCh. 10.2 - In each of Problems 1 through 8, determine whether...Ch. 10.2 - In each of Problems 1 through 8, determine whether...Ch. 10.2 - In each of Problems 1 through 8, determine whether...Ch. 10.2 - Prob. 8PCh. 10.2 - Prob. 9PCh. 10.2 - Prob. 10PCh. 10.2 - Prob. 11PCh. 10.2 - Prob. 12PCh. 10.2 - In each of Problems 13 through 18:
Sketch the...Ch. 10.2 - In each of Problems 13 through 18:
Sketch the...Ch. 10.2 - Prob. 15PCh. 10.2 - Prob. 16PCh. 10.2 - In each of Problems 13 through 18:
Sketch the...Ch. 10.2 - Prob. 18PCh. 10.2 - In each of Problems 19 through 24:
Sketch the...Ch. 10.2 - Prob. 20PCh. 10.2 - Prob. 21PCh. 10.2 - Prob. 22PCh. 10.2 - Prob. 23PCh. 10.2 - Prob. 24PCh. 10.2 - Prob. 25PCh. 10.2 - Prob. 26PCh. 10.2 - Prob. 27PCh. 10.2 - Prob. 28PCh. 10.2 - Prob. 29PCh. 10.3 - In each of Problems 1 through 6, assume that the...Ch. 10.3 - Prob. 2PCh. 10.3 - Prob. 3PCh. 10.3 - In each of Problems 1 through 6, assume that the...Ch. 10.3 - Prob. 5PCh. 10.3 - Prob. 6PCh. 10.3 - Prob. 7PCh. 10.3 - Prob. 8PCh. 10.3 - Prob. 9PCh. 10.3 - Prob. 10PCh. 10.3 - Prob. 11PCh. 10.3 - Prob. 12PCh. 10.3 - Prob. 13PCh. 10.3 - Prob. 14PCh. 10.3 - Prob. 15PCh. 10.3 - Prob. 16PCh. 10.3 - Prob. 17PCh. 10.3 - Prob. 18PCh. 10.3 - Prob. 19PCh. 10.4 - Prob. 1PCh. 10.4 - Prob. 2PCh. 10.4 - Prob. 3PCh. 10.4 - Prob. 4PCh. 10.4 - Prob. 5PCh. 10.4 - Prob. 6PCh. 10.4 - Prob. 7PCh. 10.4 - Prob. 8PCh. 10.4 - Prob. 9PCh. 10.4 - Prob. 10PCh. 10.4 - Prob. 11PCh. 10.4 - Prob. 12PCh. 10.4 - Prob. 13PCh. 10.4 - Prob. 14PCh. 10.4 - Prob. 15PCh. 10.4 - Prob. 16PCh. 10.4 - Prob. 17PCh. 10.4 - Prob. 18PCh. 10.4 - Prob. 19PCh. 10.4 - Prob. 20PCh. 10.4 - Prob. 21PCh. 10.4 - Prob. 22PCh. 10.4 - Prob. 23PCh. 10.4 - Prob. 24PCh. 10.4 - Prob. 25PCh. 10.4 - Prob. 26PCh. 10.4 - Prob. 31PCh. 10.4 - Prob. 32PCh. 10.4 - Prob. 33PCh. 10.4 - Prob. 34PCh. 10.4 - Prob. 35PCh. 10.4 - Prob. 36PCh. 10.4 - Prob. 37PCh. 10.4 - Prob. 38PCh. 10.4 - Prob. 39PCh. 10.4 - Prob. 40PCh. 10.5 - In each of Problems 1 through 6, determine whether...Ch. 10.5 - In each of Problems 1 through 6, determine whether...Ch. 10.5 - In each of Problems 1 through 6, determine whether...Ch. 10.5 - In each of Problems 1 through 6, determine whether...Ch. 10.5 - In each of Problems 1 through 6, determine whether...Ch. 10.5 - In each of Problems 1 through 6, determine whether...Ch. 10.5 - Find the solution of the heat conduction problem
Ch. 10.5 - Find the solution of the heat conduction problem
Ch. 10.5 - Consider the conduction of heat in a rod 40 cm in...Ch. 10.5 - Prob. 10PCh. 10.5 - Prob. 11PCh. 10.5 - Prob. 12PCh. 10.5 - Prob. 13PCh. 10.5 - Prob. 14PCh. 10.5 - Prob. 15PCh. 10.5 - Prob. 16PCh. 10.5 - Prob. 21PCh. 10.5 - Prob. 23PCh. 10.5 - Prob. 24PCh. 10.5 - Prob. 25PCh. 10.5 - Prob. 26PCh. 10.5 - Prob. 27PCh. 10.6 - Prob. 1PCh. 10.6 - Prob. 2PCh. 10.6 - Prob. 3PCh. 10.6 - Prob. 4PCh. 10.6 - Prob. 5PCh. 10.6 - Prob. 6PCh. 10.6 - Prob. 7PCh. 10.6 - Prob. 8PCh. 10.6 - Prob. 9PCh. 10.6 - Prob. 10PCh. 10.6 - Prob. 11PCh. 10.6 - Prob. 12PCh. 10.6 - Prob. 13PCh. 10.6 - Prob. 14PCh. 10.6 - Prob. 15PCh. 10.6 - Prob. 16PCh. 10.6 - Prob. 17PCh. 10.6 - Prob. 18PCh. 10.6 - Prob. 19PCh. 10.6 - Prob. 20PCh. 10.6 - Prob. 21PCh. 10.6 - Prob. 22PCh. 10.6 - Prob. 23PCh. 10.7 - Prob. 9PCh. 10.7 - Prob. 12PCh. 10.7 - Prob. 13PCh. 10.7 - Prob. 15PCh. 10.7 - Prob. 16PCh. 10.7 - Prob. 17PCh. 10.7 - Prob. 18PCh. 10.7 - Prob. 19PCh. 10.7 - Prob. 20PCh. 10.7 - Prob. 21PCh. 10.7 - Prob. 22PCh. 10.7 - Prob. 23PCh. 10.8 - Prob. 2PCh. 10.8 - Prob. 4PCh. 10.8 - Prob. 5PCh. 10.8 - Prob. 7PCh. 10.8 - Prob. 9PCh. 10.8 - Prob. 10PCh. 10.8 - Prob. 11PCh. 10.8 - Prob. 15PCh. 10.8 - Prob. 16PCh. 10.8 - Prob. 17PCh. 10.8 - Prob. 18P
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