EBK FINITE MATHEMATICS & ITS APPLICATIO
12th Edition
ISBN: 9780134464053
Author: HAIR
Publisher: YUZU
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Chapter 12.2, Problem 18E
(a)
To determine
To calculate: The differential equation for
(b)
To determine
The expression in mathematical notation the fact that the saving account is depleted after 17 months.
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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 12 Solutions
EBK FINITE MATHEMATICS & ITS APPLICATIO
Ch. 12.1 - Consider the difference equation...Ch. 12.1 - Prob. 2CYUCh. 12.1 - Prob. 1ECh. 12.1 - Prob. 2ECh. 12.1 - Prob. 3ECh. 12.1 - Prob. 4ECh. 12.1 - Prob. 5ECh. 12.1 - For each of the difference equations in Exercises...Ch. 12.1 - Prob. 7ECh. 12.1 - Prob. 8E
Ch. 12.1 - Prob. 9ECh. 12.1 - Prob. 10ECh. 12.1 - Prob. 11ECh. 12.1 - Prob. 12ECh. 12.1 - Prob. 13ECh. 12.1 - Prob. 14ECh. 12.1 - Prob. 15ECh. 12.1 - Prob. 16ECh. 12.1 - Prob. 17ECh. 12.1 - Prob. 18ECh. 12.1 - Prob. 19ECh. 12.1 - Population Decline Moldova has negative population...Ch. 12.1 - Prob. 21ECh. 12.1 - Prob. 22ECh. 12.1 - Prob. 23ECh. 12.1 - Prob. 24ECh. 12.1 - Prob. 25ECh. 12.1 - Prob. 26ECh. 12.1 - 27. Credit Card Mr. Jones owes $1000 on a credit...Ch. 12.1 - Prob. 28ECh. 12.1 - Prob. 29ECh. 12.1 - Prob. 30ECh. 12.1 - Prob. 31ECh. 12.1 - Prob. 32ECh. 12.1 - Prob. 33ECh. 12.1 - Prob. 34ECh. 12.1 - Prob. 35ECh. 12.2 - Prob. 1CYUCh. 12.2 - Prob. 2CYUCh. 12.2 - Prob. 1ECh. 12.2 - Prob. 2ECh. 12.2 - Prob. 3ECh. 12.2 - Prob. 4ECh. 12.2 - Prob. 5ECh. 12.2 - Prob. 6ECh. 12.2 - Prob. 7ECh. 12.2 - Prob. 8ECh. 12.2 - Prob. 9ECh. 12.2 - Prob. 10ECh. 12.2 - Prob. 11ECh. 12.2 - Prob. 12ECh. 12.2 - Prob. 13ECh. 12.2 - Prob. 14ECh. 12.2 - Prob. 15ECh. 12.2 - Prob. 16ECh. 12.2 - Prob. 17ECh. 12.2 - Prob. 18ECh. 12.2 - Prob. 19ECh. 12.2 - Prob. 20ECh. 12.2 - Prob. 21ECh. 12.2 - Prob. 22ECh. 12.2 - Prob. 23ECh. 12.2 - Prob. 24ECh. 12.2 - Prob. 25ECh. 12.2 - Prob. 26ECh. 12.2 - Prob. 27ECh. 12.2 - Prob. 28ECh. 12.3 - Parachuting A parachutist opens her parachute...Ch. 12.3 - Prob. 2CYUCh. 12.3 - 3. Retirement Fund Upon retirement, a person...Ch. 12.3 - Each of the graphs in Fig. 14 comes from a...Ch. 12.3 - Prob. 2ECh. 12.3 - Prob. 3ECh. 12.3 - Prob. 4ECh. 12.3 - Each of the graphs in Fig. 14 comes from a...Ch. 12.3 - Prob. 6ECh. 12.3 - Each of the graphs in Fig. 14 comes from a...Ch. 12.3 - Prob. 8ECh. 12.3 - In Exercises 914, sketch a graph having the given...Ch. 12.3 - Prob. 10ECh. 12.3 - In Exercises 914, sketch a graph having the given...Ch. 12.3 - Prob. 12ECh. 12.3 - Prob. 13ECh. 12.3 - Prob. 14ECh. 12.3 - Prob. 15ECh. 12.3 - Prob. 16ECh. 12.3 - Prob. 17ECh. 12.3 - Prob. 18ECh. 12.3 - Prob. 19ECh. 12.3 - Prob. 20ECh. 12.3 - Prob. 21ECh. 12.3 - Prob. 22ECh. 12.3 - Prob. 23ECh. 12.3 - Prob. 24ECh. 12.3 - Prob. 25ECh. 12.3 - Prob. 26ECh. 12.3 - Prob. 27ECh. 12.3 - Prob. 28ECh. 12.3 - Prob. 29ECh. 12.3 - Prob. 30ECh. 12.3 - Prob. 31ECh. 12.3 - Prob. 32ECh. 12.3 - In these exercises, find a difference equation...Ch. 12.3 - Prob. 34ECh. 12.3 - Prob. 35ECh. 12.3 - Prob. 36ECh. 12.4 - Prob. 1CYUCh. 12.4 - Prob. 2CYUCh. 12.4 - Prob. 3CYUCh. 12.4 - Prob. 1ECh. 12.4 - Prob. 2ECh. 12.4 - Prob. 3ECh. 12.4 - Prob. 4ECh. 12.4 - Prob. 5ECh. 12.4 - 6. Find the monthly payment on a 25-year $38,000...Ch. 12.4 - Prob. 7ECh. 12.4 - Prob. 8ECh. 12.4 - Prob. 9ECh. 12.4 - Prob. 10ECh. 12.4 - Prob. 11ECh. 12.4 - Prob. 12ECh. 12.4 - Prob. 13ECh. 12.4 - In these exercises, use a table or graph of an...Ch. 12.4 - In these exercises, use a table or graph of an...Ch. 12.4 - Prob. 16ECh. 12.5 - Glucose Infusion Glucose is being given to a...Ch. 12.5 - Light at Ocean Depths Sunlight is absorbed by...Ch. 12.5 - 1. Population Dynamics In a certain country with...Ch. 12.5 - Population Dynamics A small city with current...Ch. 12.5 - 3. Drug Absorption After a certain drug is...Ch. 12.5 - Elevation and Atmospheric Pressure The atmospheric...Ch. 12.5 - Spread of Information A sociological study was...Ch. 12.5 - Solution Concentration A cell is put into a fluid...Ch. 12.5 - Learning Curve Psychologists have found that in...Ch. 12.5 - Genetics Consider two genes A and a in a...Ch. 12.5 - Account Balance Thirty thousand dollars is...Ch. 12.5 - 10. Account Balance Rework Exercise 9, where...Ch. 12.5 - Prob. 11ECh. 12.5 - Prob. 12ECh. 12.5 - Prob. 13ECh. 12.5 - Prob. 14ECh. 12.5 - Prob. 15ECh. 12.5 - Prob. 16ECh. 12.5 - Prob. 17ECh. 12.5 - Prob. 18ECh. 12.5 - In these exercises, answer the questions by...Ch. 12.5 - Prob. 20ECh. 12 - Explain how a sequence of numbers is generated by...Ch. 12 - Prob. 2FCCECh. 12 - Prob. 3FCCECh. 12 - Prob. 4FCCECh. 12 - Prob. 5FCCECh. 12 - Prob. 6FCCECh. 12 - Prob. 7FCCECh. 12 - Prob. 8FCCECh. 12 - Prob. 9FCCECh. 12 - Prob. 10FCCECh. 12 - Prob. 1RECh. 12 - Prob. 2RECh. 12 - 3. Account Balance How much money would you have...Ch. 12 - Prob. 4RECh. 12 - Prob. 5RECh. 12 - Prob. 6RECh. 12 - Population Dynamics The population of a certain...Ch. 12 - 8. Mortgage The monthly payment on a 30-year...Ch. 12 - Prob. 9RECh. 12 - Prob. 10RECh. 12 - Prob. 11RECh. 12 - Prob. 12RECh. 12 - Prob. 13RECh. 12 - Prob. 14RECh. 12 - Prob. 1PCh. 12 - Prob. 2PCh. 12 - Prob. 3PCh. 12 - Prob. 4PCh. 12 - Prob. 5PCh. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9P
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