EBK BUSINESS STATISTICS
7th Edition
ISBN: 9780134462783
Author: STEPHAN
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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Chapter 3, Problem 3.47CYU
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To explain: The first
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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 3 Solutions
EBK BUSINESS STATISTICS
Ch. 3 - The following set of data is from a sample of n =...Ch. 3 - The following set of data is from a sample of n =...Ch. 3 - The set of data is from a sample of n = 7: 12 7 4...Ch. 3 - The following set of data is from a sample of n =...Ch. 3 - Prob. 3.5ACCh. 3 - The operations manager of a plant that...Ch. 3 - Prob. 3.7ACCh. 3 - Prob. 3.8ACCh. 3 - The file Sedans contains the overall miles per...Ch. 3 - Prob. 3.10AC
Ch. 3 - Prob. 3.11ACCh. 3 - Prob. 3.12ACCh. 3 - Is there a difference in the variation of the...Ch. 3 - Prob. 3.14ACCh. 3 - A bank branch located in a commercial district of...Ch. 3 - Prob. 3.16ACCh. 3 - Using the three-year return percentage variable in...Ch. 3 - Prob. 3.18ACCh. 3 - Using the three-year return percentage variable in...Ch. 3 - Using the three-year return percentage variable in...Ch. 3 - Prob. 3.21LBCh. 3 - The following is a set of data from a sample of n...Ch. 3 - Prob. 3.23LBCh. 3 - Prob. 3.24LBCh. 3 - Prob. 3.25ACCh. 3 - The file MarketPenetration contains Facebook...Ch. 3 - Prob. 3.27ACCh. 3 - Prob. 3.28ACCh. 3 - Prob. 3.29ACCh. 3 - Prob. 3.30ACCh. 3 - Prob. 3.31LBCh. 3 - The following is a set of data for a population...Ch. 3 - Consider a population of 1,024 mutual funds that...Ch. 3 - Prob. 3.35ACCh. 3 - The file Energy contains the per capita energy...Ch. 3 - Prob. 3.37ACCh. 3 - The following is a set of data from a sample of n...Ch. 3 - Prob. 3.39ACCh. 3 - The file CEREALS lists the calories and sugar, in...Ch. 3 - Movie companies need to predict the gross receipts...Ch. 3 - Prob. 3.42ACCh. 3 - Prob. 3.43ACCh. 3 - Prob. 3.44CYUCh. 3 - Prob. 3.45CYUCh. 3 - What are the differences among the mean, median,...Ch. 3 - Prob. 3.47CYUCh. 3 - Prob. 3.48CYUCh. 3 - Prob. 3.49CYUCh. 3 - Prob. 3.50CYUCh. 3 - Prob. 3.51CYUCh. 3 - Prob. 3.52CYUCh. 3 - Prob. 3.53CYUCh. 3 - Prob. 3.54CYUCh. 3 - Prob. 3.55CYUCh. 3 - How do the covariance and the coefficient of...Ch. 3 - Prob. 3.57CRPCh. 3 - Prob. 3.58CRPCh. 3 - One of the major measures of the quality of...Ch. 3 - Prob. 3.60CRPCh. 3 - The manufacturing company in Problem 3.60 also...Ch. 3 - Prob. 3.62CRPCh. 3 - Prob. 3.63CRPCh. 3 - Prob. 3.64CRPCh. 3 - Prob. 3.66CRPCh. 3 - The file PropertyTaxes contains the property...Ch. 3 - 311 is Chicagos web and phone portal for...Ch. 3 - How much time do Americans living in or near...Ch. 3 - You are planning to study for your statistics...Ch. 3 - Prob. 3.74RWE
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- The data needed to answer this question is given in the following link (file is on view only so if you would like to make a copy to make it easier for yourself feel free to do so) https://docs.google.com/spreadsheets/d/1aV5rsxdNjHnkeTkm5VqHzBXZgW-Ptbs3vqwk0SYiQPo/edit?usp=sharingarrow_forwardThe following relates to Problems 4 and 5. Christchurch, New Zealand experienced a major earthquake on February 22, 2011. It destroyed 100,000 homes. Data were collected on a sample of 300 damaged homes. These data are saved in the file called CIEG315 Homework 4 data.xlsx, which is available on Canvas under Files. A subset of the data is shown in the accompanying table. Two of the variables are qualitative in nature: Wall construction and roof construction. Two of the variables are quantitative: (1) Peak ground acceleration (PGA), a measure of the intensity of ground shaking that the home experienced in the earthquake (in units of acceleration of gravity, g); (2) Damage, which indicates the amount of damage experienced in the earthquake in New Zealand dollars; and (3) Building value, the pre-earthquake value of the home in New Zealand dollars. PGA (g) Damage (NZ$) Building Value (NZ$) Wall Construction Roof Construction Property ID 1 0.645 2 0.101 141,416 2,826 253,000 B 305,000 B T 3…arrow_forwardRose Par posted Apr 5, 2025 9:01 PM Subscribe To: Store Owner From: Rose Par, Manager Subject: Decision About Selling Custom Flower Bouquets Date: April 5, 2025 Our shop, which prides itself on selling handmade gifts and cultural items, has recently received inquiries from customers about the availability of fresh flower bouquets for special occasions. This has prompted me to consider whether we should introduce custom flower bouquets in our shop. We need to decide whether to start offering this new product. There are three options: provide a complete selection of custom bouquets for events like birthdays and anniversaries, start small with just a few ready-made flower arrangements, or do not add flowers. There are also three possible outcomes. First, we might see high demand, and the bouquets could sell quickly. Second, we might have medium demand, with a few sold each week. Third, there might be low demand, and the flowers may not sell well, possibly going to waste. These outcomes…arrow_forward
- Consider the state space model X₁ = §Xt−1 + Wt, Yt = AX+Vt, where Xt Є R4 and Y E R². Suppose we know the covariance matrices for Wt and Vt. How many unknown parameters are there in the model?arrow_forwardBusiness Discussarrow_forwardYou want to obtain a sample to estimate the proportion of a population that possess a particular genetic marker. Based on previous evidence, you believe approximately p∗=11% of the population have the genetic marker. You would like to be 90% confident that your estimate is within 0.5% of the true population proportion. How large of a sample size is required?n = (Wrong: 10,603) Do not round mid-calculation. However, you may use a critical value accurate to three decimal places.arrow_forward
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