FINITE MATHEMATICS >PRINT UPGRADE<
7th Edition
ISBN: 9780357667286
Author: Waner
Publisher: CENGAGE L
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Chapter 2.3, Problem 86E
To determine
To calculate: The time Alonzo plans to accomplish a goal of accumulate $2,50,000 through quarterly payments of $2,500, if interest earned at annual rate of 5.4% compounded quarterly.
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PEER REPLY 1:
Choose a classmate's Main Post and review their decision making process.
1. Choose a risk level for each of the states of nature (assign a probability
value to each).
2. Explain why each risk level is chosen.
3. Which alternative do you believe would be the best based on the maximum
EMV?
4. Do you feel determining the expected value with perfect information
(EVWPI) is worthwhile in this situation? Why or why not?
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.
Please complete through GeoGebra and present the screenshots of the results. Thanks! (This supports on how to submit it.)
Chapter 2 Solutions
FINITE MATHEMATICS >PRINT UPGRADE<
Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...
Ch. 2.1 - Prob. 11ECh. 2.1 - Prob. 12ECh. 2.1 - In Exercises 1116, find the present value of the...Ch. 2.1 - In Exercises 1116, find the present value of the...Ch. 2.1 - In Exercises 1116, find the present value of the...Ch. 2.1 - Prob. 16ECh. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Prob. 29ECh. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - Prob. 33ECh. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - Prob. 35ECh. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Prob. 43ECh. 2.1 - Prob. 44ECh. 2.1 - Prob. 45ECh. 2.1 - Prob. 46ECh. 2.1 - Prob. 47ECh. 2.1 - Prob. 48ECh. 2.1 - Prob. 49ECh. 2.1 - Prob. 50ECh. 2.1 - Treasury Bills At auction on August 18, 2005,...Ch. 2.1 - Treasury Bills At auction on August 18, 2005,...Ch. 2.1 - Prob. 53ECh. 2.1 - In the formula FV=PV(1+in), how is the slope of...Ch. 2.1 - Given that FV=0.5n+1,000, for what monthly...Ch. 2.1 - Given that FV=5t+400, for what annual interest...Ch. 2.1 - We said that the choice of which of the two...Ch. 2.1 - Refer to Exercise 57. Show that using the formula...Ch. 2.1 - Prob. 59ECh. 2.1 - Prob. 60ECh. 2.1 - Prob. 61ECh. 2.1 - Prob. 62ECh. 2.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 2.2 - Prob. 4ECh. 2.2 - Prob. 5ECh. 2.2 - Prob. 6ECh. 2.2 - Prob. 7ECh. 2.2 - Prob. 8ECh. 2.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - Savings You deposit $1,000 in an account at the...Ch. 2.2 - Investments You invest $10,000 in Rapid Growth...Ch. 2.2 - Depreciation: 2008 Financial Crisis During 2008...Ch. 2.2 - Depreciation: 2008 Financial Crisis During 2008...Ch. 2.2 - Bonds You want to buy a 10-year bond with a...Ch. 2.2 - Bonds You want to buy a 15-year bond with a...Ch. 2.2 - Investments When I was considering what to do with...Ch. 2.2 - Investments When I was considering what to do with...Ch. 2.2 - Depreciation During a prolonged recession,...Ch. 2.2 - Prob. 32ECh. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - Prob. 35ECh. 2.2 - Sales My recent marketing idea, the Miracle Algae...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Retirement Planning I want to be earning an annual...Ch. 2.2 - Prob. 44ECh. 2.2 - Inflation Inflation has been running 2% per year....Ch. 2.2 - Prob. 46ECh. 2.2 - Inflation Housing prices have been rising 6% per...Ch. 2.2 - Prob. 48ECh. 2.2 - Constant Dollars Inflation is running 3% per year...Ch. 2.2 - Prob. 50ECh. 2.2 - Prob. 51ECh. 2.2 - Investments You are offered three investments. The...Ch. 2.2 - History Legend has it that a band of Lenape...Ch. 2.2 - History Repeat Exercise 53, assuming that the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - tock Investments Exercises 6368 are based on the...Ch. 2.2 - tock Investments Exercises 6368 are based on the...Ch. 2.2 - Prob. 65ECh. 2.2 - tock Investments Exercises 6368 are based on the...Ch. 2.2 - tock Investments Exercises 6368 are based on the...Ch. 2.2 - tock Investments Exercises 6368 are based on the...Ch. 2.2 - Prob. 69ECh. 2.2 - Investments Determine when, to the nearest year,...Ch. 2.2 - Epidemics At the start of 1985 the incidence of...Ch. 2.2 - Depreciation My investment in Genetic Splicing,...Ch. 2.2 - Prob. 73ECh. 2.2 - Bonds Suppose that, in January 2040, you buy a...Ch. 2.2 - Prob. 75ECh. 2.2 - Prob. 76ECh. 2.2 - Prob. 77ECh. 2.2 - Prob. 78ECh. 2.2 - Prob. 79ECh. 2.2 - Prob. 80ECh. 2.2 - Prob. 81ECh. 2.2 - Prob. 82ECh. 2.2 - Prob. 83ECh. 2.2 - Prob. 84ECh. 2.2 - Prob. 85ECh. 2.2 - Prob. 86ECh. 2.3 - In Exercises 16, find the amount accumulated in...Ch. 2.3 - Prob. 2ECh. 2.3 - Prob. 3ECh. 2.3 - In Exercises 16, find the amount accumulated in...Ch. 2.3 - In Exercises 16, find the amount accumulated in...Ch. 2.3 - In Exercises 16, find the amount accumulated in...Ch. 2.3 - In Exercises 712, find the periodic payments...Ch. 2.3 - Prob. 8ECh. 2.3 - Prob. 9ECh. 2.3 - In Exercises 712, find the periodic payments...Ch. 2.3 - Prob. 11ECh. 2.3 - Prob. 12ECh. 2.3 - In Exercises 1318, find the present value of the...Ch. 2.3 - In Exercises 1318, find the present value of the...Ch. 2.3 - Prob. 15ECh. 2.3 - Prob. 16ECh. 2.3 - Prob. 17ECh. 2.3 - Prob. 18ECh. 2.3 - In Exercises 1924, find the periodic withdrawals...Ch. 2.3 - Prob. 20ECh. 2.3 - Prob. 21ECh. 2.3 - Prob. 22ECh. 2.3 - Prob. 23ECh. 2.3 - In Exercises 1924, find the periodic withdrawals...Ch. 2.3 - In Exercises 2532, determine the periodic payments...Ch. 2.3 - Prob. 26ECh. 2.3 - Prob. 27ECh. 2.3 - Prob. 28ECh. 2.3 - In Exercises 2532, determine the periodic payments...Ch. 2.3 - Prob. 30ECh. 2.3 - In Exercises 2532, determine the periodic payments...Ch. 2.3 - In Exercises 2532, determine the periodic payments...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - Prob. 39ECh. 2.3 - In Exercises 3944, determine the selling price,...Ch. 2.3 - Prob. 41ECh. 2.3 - Prob. 42ECh. 2.3 - Prob. 43ECh. 2.3 - Prob. 44ECh. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Prob. 54ECh. 2.3 - Pensions Your pension plan is an annuity with a...Ch. 2.3 - Pensions Jennifers pension plan is an annuity with...Ch. 2.3 - Prob. 57ECh. 2.3 - Pensions Megs pension plan is an annuity with a...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Prob. 72ECh. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Car Loans While shopping for a car loan, you get...Ch. 2.3 - Prob. 78ECh. 2.3 - Refinancing Your original mortgage was a $96,000,...Ch. 2.3 - Refinancing Kara and Michael take out a $120,000,...Ch. 2.3 - Prob. 81ECh. 2.3 - Note: In Exercises 81 and 82 we suggest the use of...Ch. 2.3 - In Exercises 8390, use a time value of money...Ch. 2.3 - Prob. 84ECh. 2.3 - Prob. 85ECh. 2.3 - Prob. 86ECh. 2.3 - Prob. 87ECh. 2.3 - Prob. 88ECh. 2.3 - Prob. 89ECh. 2.3 - In Exercises 8390, use a time value of money...Ch. 2.3 - Prob. 91ECh. 2.3 - Prob. 92ECh. 2.3 - You make equal payments of $200 per month into...Ch. 2.3 - You make equal payments of $400 per month into...Ch. 2.3 - Prob. 95ECh. 2.3 - Prob. 96ECh. 2.3 - We have so far not taken advantage of the fact...Ch. 2.3 - Repeat Exercise 97 for a 10-year, 3.375% bond...Ch. 2.3 - Consider the formula for the future value of an...Ch. 2.3 - Give a non-algebraic justification for the result...Ch. 2 - In Exercises 16, find the future value of the...Ch. 2 - In Exercises 16, find the future value of the...Ch. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 9RECh. 2 - In Exercises 712, find the present value of the...Ch. 2 - Prob. 11RECh. 2 - Prob. 12RECh. 2 - Prob. 13RECh. 2 - Prob. 14RECh. 2 - Prob. 15RECh. 2 - Prob. 16RECh. 2 - Prob. 17RECh. 2 - Prob. 18RECh. 2 - Prob. 19RECh. 2 - Prob. 20RECh. 2 - Prob. 21RECh. 2 - Prob. 22RECh. 2 - Prob. 23RECh. 2 - Prob. 24RECh. 2 - Prob. 25RECh. 2 - Prob. 26RECh. 2 - Prob. 27RECh. 2 - Prob. 28RECh. 2 - Prob. 29RECh. 2 - Prob. 30RECh. 2 - Prob. 31RECh. 2 - Stock Investments Exercises 2934 are based on the...Ch. 2 - Prob. 33RECh. 2 - Prob. 34RECh. 2 - Revenue Total online revenues at OHaganBooks.com...Ch. 2 - Net Income Unfortunately, the picture for net...Ch. 2 - Prob. 37RECh. 2 - Prob. 38RECh. 2 - Loans OHaganBooks.com is seeking a $250,000 loan...Ch. 2 - Prob. 40RECh. 2 - Prob. 41RECh. 2 - Prob. 42RECh. 2 - Prob. 43RECh. 2 - Prob. 44RECh. 2 - Retirement Planning OHaganBooks.com has just...Ch. 2 - Prob. 46RECh. 2 - Prob. 47RECh. 2 - Prob. 48RECh. 2 - Retirement Planning OHaganBooks.com has just...Ch. 2 - Retirement Planning OHaganBooks.com has just...Ch. 2 - Prob. 51RECh. 2 - Prob. 52RECh. 2 - Prob. 53RECh. 2 - Prob. 54RECh. 2 - Prob. 55RECh. 2 - Prob. 56RE
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