Practical Business Math Procedures with Business Math Handbook
12th Edition
ISBN: 9781259725067
Author: Jeffrey Slater, Sharon M. Wittry
Publisher: McGraw-Hill Education
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Chapter 3, Problem 77ECP
To determine
The average price of the tickets per game.
To determine
The amount of money Roger received from Marcelo.
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6 (Model Selection, Estimation and Prediction of GARCH) Consider the daily returns rt
of General Electric Company stock (ticker: "GE") from "2021-01-01" to "2024-03-31",
comprising a total of 813 daily returns. Using the "fGarch" package of R, outputs of
fitting three GARCH models to the returns are given at the end of this question.
Model 1 ARCH (1) with standard normal innovations;
Model 2
Model 3
GARCH (1, 1) with Student-t innovations;
GARCH (2, 2) with Student-t innovations;
Based on the outputs, answer the following questions.
(a) What can be inferred from the Standardized Residual Tests conducted on Model 1?
(b) Which model do you recommend for prediction between Model 2 and Model 3?
Why?
(c) Write down the fitted model for the model that you recommended in Part (b).
(d) Using the model recommended in Part (b), predict the conditional volatility in the
next trading day, specifically trading day 814.
4 (MLE of ARCH) Suppose rt follows ARCH(2) with E(rt) = 0,
rt = ut, ut =
στει, σε
where {+} is a sequence of independent and identically distributed (iid) standard normal
random variables.
With observations r₁,...,, write down the log-likelihood function for the model esti-
mation.
5 (Moments of GARCH) For the GARCH(2,2) model rt =
0.2+0.25u1+0.05u-2 +0.30% / -1 +0.20% -2, find cov(rt).
0.0035 ut, ut =
στει,στ
=
Chapter 3 Solutions
Practical Business Math Procedures with Business Math Handbook
Ch. 3.1 - Write the following as a decimal number.
Four...Ch. 3.1 - Prob. 2PQCh. 3.1 - Prob. 3PQCh. 3.1 - Prob. 4PQCh. 3.1 - Prob. 5PQCh. 3.1 - Prob. 6PQCh. 3.1 - Convert the following to decimals:
Ch. 3.1 - Prob. 8PQCh. 3.1 - Prob. 9PQCh. 3.1 - Convert the following to decimal fractions (do not...
Ch. 3.1 - Prob. 11PQCh. 3.1 - Prob. 12PQCh. 3.1 - Prob. 13PQCh. 3.1 - Prob. 1EPQCh. 3.1 - Prob. 2EPQCh. 3.1 - Prob. 3EPQCh. 3.1 - Prob. 4EPQCh. 3.1 - Prob. 5EPQCh. 3.1 - Prob. 6EPQCh. 3.1 - Prob. 7EPQCh. 3.1 - Prob. 8EPQCh. 3.1 - Prob. 9EPQCh. 3.1 - Prob. 10EPQCh. 3.1 - Prob. 11EPQCh. 3.1 - Prob. 12EPQCh. 3.1 - Prob. 13EPQCh. 3.1 - Prob. 1AHCh. 3.1 - Prob. 2AHCh. 3.1 - Prob. 3AHCh. 3.1 - Prob. 4AHCh. 3.1 - Prob. 5AHCh. 3.1 - Prob. 6AHCh. 3.1 - Prob. 7AHCh. 3.1 - Bill Breen earned $1,555, and his employer...Ch. 3.1 - At the local college, .566 of the students are...Ch. 3.1 - Prob. 10AHCh. 3.1 - Prob. 11AHCh. 3.1 - Prob. 12AHCh. 3.1 - Michael Sullivan was planning his marketing...Ch. 3.1 - Prob. 14AHCh. 3.2 - Rearrange vertically and add:
14, .642, 9.34,...Ch. 3.2 - Prob. 2PQCh. 3.2 - Prob. 3PQCh. 3.2 - Prob. 4PQCh. 3.2 - Prob. 5PQCh. 3.2 - Complete by the shortcut method:
9,680÷1,000
Ch. 3.2 - Prob. 7PQCh. 3.2 - Prob. 8PQCh. 3.2 - Prob. 9PQCh. 3.2 - Prob. 10PQCh. 3.2 - Prob. 1EPQCh. 3.2 - Prob. 2EPQCh. 3.2 - Prob. 3EPQCh. 3.2 - Divide and round to the nearest hundredth:
3,824 ÷...Ch. 3.2 - Prob. 5EPQCh. 3.2 - Prob. 6EPQCh. 3.2 - Prob. 7EPQCh. 3.2 - Prob. 8EPQCh. 3.2 - Prob. 9EPQCh. 3.2 - Round to the nearest cent as needed:
A trip to...Ch. 3.2 - Prob. 1AHCh. 3.2 - Prob. 2AHCh. 3.2 - Prob. 3AHCh. 3.2 - Prob. 4AHCh. 3.2 - Prob. 5AHCh. 3.2 - Prob. 6AHCh. 3.2 - Jeanne Allyn purchased 12.25 yards of ribbon for a...Ch. 3.2 - Prob. 8AHCh. 3.2 - Prob. 9AHCh. 3.2 - Prob. 10AHCh. 3.2 - Prob. 11AHCh. 3 - Prob. 1ECPCh. 3 - Identify the place value for the following:
Ch. 3 - Prob. 3ECPCh. 3 - Prob. 4ECPCh. 3 - Prob. 5ECPCh. 3 - Prob. 6ECPCh. 3 - Prob. 7ECPCh. 3 - Round the following as indicated: LU...Ch. 3 - Prob. 9ECPCh. 3 - Prob. 10ECPCh. 3 - Convert the following types of decimal fractions...Ch. 3 - Convert the following types of decimal fractions...Ch. 3 - Convert the following types of decimal fractions...Ch. 3 - Convert the following types of decimal fractions...Ch. 3 - Prob. 15ECPCh. 3 - Prob. 16ECPCh. 3 - Prob. 17ECPCh. 3 - Prob. 18ECPCh. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following to mixed numbers. Do not...Ch. 3 - Convert the following to mixed numbers. Do not...Ch. 3 - Prob. 28ECPCh. 3 - Prob. 29ECPCh. 3 - Prob. 30ECPCh. 3 - Write the decimal equivalent of the following: LU...Ch. 3 - Prob. 32ECPCh. 3 - Rearrange the following and add: LU 3-2(1)
115,...Ch. 3 - Prob. 34ECPCh. 3 - Prob. 35ECPCh. 3 - Prob. 36ECPCh. 3 - Prob. 37ECPCh. 3 - Prob. 38ECPCh. 3 - Prob. 39ECPCh. 3 - Prob. 40ECPCh. 3 - Prob. 41ECPCh. 3 - Prob. 42ECPCh. 3 - Prob. 43ECPCh. 3 - Prob. 44ECPCh. 3 - Prob. 45ECPCh. 3 - Prob. 46ECPCh. 3 - Divide the following and round to the nearest...Ch. 3 - Prob. 48ECPCh. 3 - Prob. 49ECPCh. 3 - Prob. 50ECPCh. 3 - Prob. 51ECPCh. 3 - Prob. 52ECPCh. 3 - Prob. 53ECPCh. 3 - Complete these multiplications and divisions by...Ch. 3 - Prob. 55ECPCh. 3 - Prob. 56ECPCh. 3 - Prob. 57ECPCh. 3 - Prob. 58ECPCh. 3 - Prob. 59ECPCh. 3 - Prob. 60ECPCh. 3 - Prob. 61ECPCh. 3 - Prob. 62ECPCh. 3 - WORD PROBLEMS
As needed, round answers to the...Ch. 3 - Prob. 64ECPCh. 3 - Prob. 65ECPCh. 3 - Prob. 66ECPCh. 3 - As needed, round answers to the nearest cent.
The...Ch. 3 - Prob. 68ECPCh. 3 - As needed, round answers to the nearest cent.
Mark...Ch. 3 - Prob. 70ECPCh. 3 - As needed, round answers to the nearest cent.
Bob...Ch. 3 - Prob. 72ECPCh. 3 - Prob. 73ECPCh. 3 - Prob. 74ECPCh. 3 - As needed, round answers to the nearest cent.
Paul...Ch. 3 - Prob. 76ECPCh. 3 - Prob. 77ECPCh. 3 - Prob. 78ECPCh. 3 - Prob. 79ECPCh. 3 - Prob. 80ECPCh. 3 - Prob. 81ECPCh. 3 - Prob. 82ECPCh. 3 - Prob. 83ECPCh. 3 - Prob. 84ECPCh. 3 - Prob. 85ECPCh. 3 - Prob. 86ECPCh. 3 - Jill and Frank decided to take a long weekend in...Ch. 3 - Prob. 1PTCh. 3 - Prob. 2PTCh. 3 - Prob. 3PTCh. 3 - Prob. 4PTCh. 3 - Prob. 5PTCh. 3 - Prob. 6PTCh. 3 - Prob. 7PTCh. 3 - Prob. 8PTCh. 3 - Prob. 9PTCh. 3 - Prob. 10PTCh. 3 - Convert the following fractions to decimals (or...Ch. 3 - Rearrange the following decimals and add.
5.93,...Ch. 3 - Prob. 13PTCh. 3 - Prob. 14PTCh. 3 - Prob. 15PTCh. 3 - Prob. 16PTCh. 3 - Prob. 17PTCh. 3 - Prob. 18PTCh. 3 - Prob. 19PTCh. 3 - Prob. 20PTCh. 3 - Prob. 21PTCh. 3 - Prob. 22PTCh. 3 - Prob. 23PTCh. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CR
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