SlideShare ist ein Scribd-Unternehmen logo
1 von 3
Downloaden Sie, um offline zu lesen
Chapter 14 1
PROPRIETARY MATERIAL. © The McGraw-Hill Companies, Inc. All rights reserved. No part of this solution may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to students, teachers and educators permitted by McGraw-Hill for their individual courses. As a
student, you are invited to refer to and learn from this solution, but you should not submit it as your own work for a course in which
you are enrolled. Such action is considered plagiarism
SOLUTIONS TO SELECTED PROBLEMS
Student: You should work the problem completely before referring to the solution.
CHAPTER 14
Solutions included for problems 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43,
46, and 49
14.1 Inflated dollars are converted into constant value dollars by dividing by one
plus the inflation rate per period for however many periods are involved.
14.4 Then-current dollars = 10,000(1 + 0.07)10
= $19,672
14.7 CV0 for amt in yr 1 = 13,000/(1 + 0.06)1
= $12,264
CV0 for amt in yr 2 = 13,000/(1 + 0.06)2
= $11,570
CV0 for amt in yr 3 = 13,000/(1 + 0.06)3
= $10,915
14.10 (a) At a 56% increase, $1 would increase to $1.56. Let x = annual increase.
1.56 = (1 + x)5
1.560.2
= 1 + x
1.093 = 1 + x
x = 9.3% per year
(b) Amount greater than inflation rate: 9.3 – 2.5 = 6.8% per year
14.13 if = 0.04 + 0.27 + (0.04)(0.27)
= 32.08% per year
14.16 For this problem, if = 4% per month and i = 0.5% per month
0.04 = 0.005 + f + (0.005)(f)
1.005f = 0.035
f = 3.48% per month
Chapter 14 2
PROPRIETARY MATERIAL. © The McGraw-Hill Companies, Inc. All rights reserved. No part of this solution may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to students, teachers and educators permitted by McGraw-Hill for their individual courses. As a
student, you are invited to refer to and learn from this solution, but you should not submit it as your own work for a course in which
you are enrolled. Such action is considered plagiarism
14.19 Buying power = 1,000,000/(1 + 0.03)27
= $450,189
14.22 (a) PWA = -31,000 – 28,000(P/A,10%,5) + 5000(P/F,10%,5)
= -31,000 – 28,000(3.7908) + 5000(0.6209)
= $-134,038
PWB = -48,000 – 19,000(P/A,10%,5) + 7000(P/F,10%,5)
= -48,000 – 19,000(3.7908) + 7000(0.6209)
= $-115,679
Select Machine B
(b) if = 0.10 + 0.03 + (0.10)(0.03) = 13.3%
PWA = -31,000 – 28,000(P/A,13.3%,5) + 5000(P/F,13.3%,5)
= -31,000 – 28,000(3.4916) + 5000(0.5356)
= $-126,087
PWB = -48,000 – 19,000(P/A,13.3%,5) + 7000(P/F,13.3%,5)
= -48,000 – 19,000(3.4916) + 7000(0.5356)
= $-110,591
Select machine B
14.25 (a) New yield = 2.16 + 3.02
= 5.18% per year
(b) Interest received = 25,000(0.0518/12)
= $107.92
14.28 740,000 = 625,000(F/P,f,7)
(F/P,f,7) = 1.184
(1 + f)7
= 1.184
f = 2.44% per year
14.31 In constant-value dollars, cost will be $40,000.
14.34 Future amount is equal to a return of if on its investment
if = (0.10 + 0.04) + 0.03 + (0.1 + 0.04)(0.03) = 17.42%
Required future amt = 1,000,000(F/P,17.42%,4)
= 1,000,000(1.9009)
= $1,900,900
Company will get more; make the investment.
Chapter 14 3
PROPRIETARY MATERIAL. © The McGraw-Hill Companies, Inc. All rights reserved. No part of this solution may be
displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to students, teachers and educators permitted by McGraw-Hill for their individual courses. As a
student, you are invited to refer to and learn from this solution, but you should not submit it as your own work for a course in which
you are enrolled. Such action is considered plagiarism
14.37 if = 0.15 + 0.06 + (0.15)(0.06) = 21.9%
AW = 183,000(A/P,21.9%,5)
= 183,000(0.34846)
= $63,768
14.40 Find amount needed at 2% inflation rate and then find A using market rate.
F = 15,000(1 + 0.02)3
= 15,000(1.06121)
= $15,918
A = 15,918(A/F,8%,3)
= 15,918(0.30803)
= $4903
14.43 (a) For CV dollars, use i = 12% per year
AWA = -150,000(A/P,12%,5) – 70,000 + 40,000(A/F,12%,5)
= -150,000(0.27741) – 70,000 + 40,000(0.15741)
= $-105,315
AWB = -1,025,000(0.12) – 5,000
= $-128,000
Select Machine A
(b) For then-current dollars, use if
if = 0.12 + 0.07 + (0.12)(0.07) = 19.84%
AWA = -150,000(A/P,19.84%,5) – 70,000 + 40,000(A/F,19.84%,5)
= -150,000(0.3332) – 70,000 + 40,000(0.1348)
= $-114,588
AWB = -1,025,000(0.1984) – 5,000
= $-208,360
Select Machine A
14.46 Answer is (d)
14.49 Answer is (a)

Weitere ähnliche Inhalte

Andere mochten auch

Draft Accounts
Draft AccountsDraft Accounts
Draft Accountsbclub
 
New simple equations for designing of finite full journal bearing
New simple equations for designing of finite full journal bearingNew simple equations for designing of finite full journal bearing
New simple equations for designing of finite full journal bearingIAEME Publication
 
CONTAMINACIÓN AMBIENTAL EN LA CHORRERA POR EMISIONES DE BÚNKER C
CONTAMINACIÓN AMBIENTAL EN LA CHORRERA POR EMISIONES DE  BÚNKER C CONTAMINACIÓN AMBIENTAL EN LA CHORRERA POR EMISIONES DE  BÚNKER C
CONTAMINACIÓN AMBIENTAL EN LA CHORRERA POR EMISIONES DE BÚNKER C Panamá
 
Selected solutions 9
Selected solutions   9Selected solutions   9
Selected solutions 9Tlepoorit
 
Using social media for research impact
Using social media for research impactUsing social media for research impact
Using social media for research impactHelen Dixon
 
Onecoin Indonesia
Onecoin IndonesiaOnecoin Indonesia
Onecoin Indonesiaonevp
 
Storyboard 100% completed
Storyboard 100% completedStoryboard 100% completed
Storyboard 100% completedchelseaahiggins
 
A-Level Media Studies - Plan, Props, Equipment & Setting
A-Level Media Studies - Plan, Props, Equipment & SettingA-Level Media Studies - Plan, Props, Equipment & Setting
A-Level Media Studies - Plan, Props, Equipment & SettingRyaaanWard
 

Andere mochten auch (9)

Draft Accounts
Draft AccountsDraft Accounts
Draft Accounts
 
New simple equations for designing of finite full journal bearing
New simple equations for designing of finite full journal bearingNew simple equations for designing of finite full journal bearing
New simple equations for designing of finite full journal bearing
 
Planeacion
PlaneacionPlaneacion
Planeacion
 
CONTAMINACIÓN AMBIENTAL EN LA CHORRERA POR EMISIONES DE BÚNKER C
CONTAMINACIÓN AMBIENTAL EN LA CHORRERA POR EMISIONES DE  BÚNKER C CONTAMINACIÓN AMBIENTAL EN LA CHORRERA POR EMISIONES DE  BÚNKER C
CONTAMINACIÓN AMBIENTAL EN LA CHORRERA POR EMISIONES DE BÚNKER C
 
Selected solutions 9
Selected solutions   9Selected solutions   9
Selected solutions 9
 
Using social media for research impact
Using social media for research impactUsing social media for research impact
Using social media for research impact
 
Onecoin Indonesia
Onecoin IndonesiaOnecoin Indonesia
Onecoin Indonesia
 
Storyboard 100% completed
Storyboard 100% completedStoryboard 100% completed
Storyboard 100% completed
 
A-Level Media Studies - Plan, Props, Equipment & Setting
A-Level Media Studies - Plan, Props, Equipment & SettingA-Level Media Studies - Plan, Props, Equipment & Setting
A-Level Media Studies - Plan, Props, Equipment & Setting
 

Ähnlich wie Selected solutions 14

Selected solutions 4
Selected solutions   4Selected solutions   4
Selected solutions 4Tlepoorit
 
Selected solutions 10
Selected solutions   10Selected solutions   10
Selected solutions 10Tlepoorit
 
solucionario capitulo 1
solucionario  capitulo 1 solucionario  capitulo 1
solucionario capitulo 1 pablo Amaru
 
Blank L, Tarquin A (2006) Solucionario Engineering Economy (6th ed).pdf
Blank L, Tarquin A  (2006) Solucionario  Engineering Economy (6th ed).pdfBlank L, Tarquin A  (2006) Solucionario  Engineering Economy (6th ed).pdf
Blank L, Tarquin A (2006) Solucionario Engineering Economy (6th ed).pdfArmandoGarza26
 
Selected solutions 16
Selected solutions   16Selected solutions   16
Selected solutions 16Tlepoorit
 
Selected solutions 15
Selected solutions   15Selected solutions   15
Selected solutions 15Tlepoorit
 
Selected solutions 5
Selected solutions   5Selected solutions   5
Selected solutions 5Tlepoorit
 
Selected solutions 12
Selected solutions   12Selected solutions   12
Selected solutions 12Tlepoorit
 
Selected solutions 17
Selected solutions   17Selected solutions   17
Selected solutions 17Tlepoorit
 
Community Treatment Resources Evaluation PaperThis assignment .docx
Community Treatment Resources Evaluation PaperThis assignment .docxCommunity Treatment Resources Evaluation PaperThis assignment .docx
Community Treatment Resources Evaluation PaperThis assignment .docxmonicafrancis71118
 
Selected solutions 7
Selected solutions   7Selected solutions   7
Selected solutions 7Tlepoorit
 
Selected solutions 19
Selected solutions   19Selected solutions   19
Selected solutions 19Tlepoorit
 
Prototype for Integrating Professional Training Into Education
Prototype for Integrating Professional Training Into EducationPrototype for Integrating Professional Training Into Education
Prototype for Integrating Professional Training Into Educationmh_thestudio
 
Selected solutions 6
Selected solutions   6Selected solutions   6
Selected solutions 6Tlepoorit
 
Selected solutions 1
Selected solutions   1Selected solutions   1
Selected solutions 1Tlepoorit
 
HOW TO TRANSFER LEARNING THROUGH PRESENTATION AT THE WORKPLACE .ppt
HOW  TO TRANSFER  LEARNING THROUGH PRESENTATION AT THE WORKPLACE .pptHOW  TO TRANSFER  LEARNING THROUGH PRESENTATION AT THE WORKPLACE .ppt
HOW TO TRANSFER LEARNING THROUGH PRESENTATION AT THE WORKPLACE .pptAbraham Ncunge
 

Ähnlich wie Selected solutions 14 (20)

Selected solutions 4
Selected solutions   4Selected solutions   4
Selected solutions 4
 
Selected solutions 10
Selected solutions   10Selected solutions   10
Selected solutions 10
 
solucionario capitulo 1
solucionario  capitulo 1 solucionario  capitulo 1
solucionario capitulo 1
 
Blank L, Tarquin A (2006) Solucionario Engineering Economy (6th ed).pdf
Blank L, Tarquin A  (2006) Solucionario  Engineering Economy (6th ed).pdfBlank L, Tarquin A  (2006) Solucionario  Engineering Economy (6th ed).pdf
Blank L, Tarquin A (2006) Solucionario Engineering Economy (6th ed).pdf
 
Selected solutions 16
Selected solutions   16Selected solutions   16
Selected solutions 16
 
Selected solutions 15
Selected solutions   15Selected solutions   15
Selected solutions 15
 
Selected solutions 5
Selected solutions   5Selected solutions   5
Selected solutions 5
 
Selected solutions 12
Selected solutions   12Selected solutions   12
Selected solutions 12
 
Selected solutions 17
Selected solutions   17Selected solutions   17
Selected solutions 17
 
Community Treatment Resources Evaluation PaperThis assignment .docx
Community Treatment Resources Evaluation PaperThis assignment .docxCommunity Treatment Resources Evaluation PaperThis assignment .docx
Community Treatment Resources Evaluation PaperThis assignment .docx
 
Selected solutions 7
Selected solutions   7Selected solutions   7
Selected solutions 7
 
AMUL
AMUL AMUL
AMUL
 
Selected solutions 19
Selected solutions   19Selected solutions   19
Selected solutions 19
 
Magic Maths6 Oct
Magic Maths6 OctMagic Maths6 Oct
Magic Maths6 Oct
 
Prototype for Integrating Professional Training Into Education
Prototype for Integrating Professional Training Into EducationPrototype for Integrating Professional Training Into Education
Prototype for Integrating Professional Training Into Education
 
Selected solutions 6
Selected solutions   6Selected solutions   6
Selected solutions 6
 
Selected solutions 1
Selected solutions   1Selected solutions   1
Selected solutions 1
 
HOW TO TRANSFER LEARNING THROUGH PRESENTATION AT THE WORKPLACE .ppt
HOW  TO TRANSFER  LEARNING THROUGH PRESENTATION AT THE WORKPLACE .pptHOW  TO TRANSFER  LEARNING THROUGH PRESENTATION AT THE WORKPLACE .ppt
HOW TO TRANSFER LEARNING THROUGH PRESENTATION AT THE WORKPLACE .ppt
 
Break even-point
Break even-pointBreak even-point
Break even-point
 
Calculating the roi on elearning
Calculating the roi on elearningCalculating the roi on elearning
Calculating the roi on elearning
 

Kürzlich hochgeladen

DEVICE DRIVERS AND INTERRUPTS SERVICE MECHANISM.pdf
DEVICE DRIVERS AND INTERRUPTS  SERVICE MECHANISM.pdfDEVICE DRIVERS AND INTERRUPTS  SERVICE MECHANISM.pdf
DEVICE DRIVERS AND INTERRUPTS SERVICE MECHANISM.pdfAkritiPradhan2
 
Python Programming for basic beginners.pptx
Python Programming for basic beginners.pptxPython Programming for basic beginners.pptx
Python Programming for basic beginners.pptxmohitesoham12
 
FUNCTIONAL AND NON FUNCTIONAL REQUIREMENT
FUNCTIONAL AND NON FUNCTIONAL REQUIREMENTFUNCTIONAL AND NON FUNCTIONAL REQUIREMENT
FUNCTIONAL AND NON FUNCTIONAL REQUIREMENTSneha Padhiar
 
Prach: A Feature-Rich Platform Empowering the Autism Community
Prach: A Feature-Rich Platform Empowering the Autism CommunityPrach: A Feature-Rich Platform Empowering the Autism Community
Prach: A Feature-Rich Platform Empowering the Autism Communityprachaibot
 
US Department of Education FAFSA Week of Action
US Department of Education FAFSA Week of ActionUS Department of Education FAFSA Week of Action
US Department of Education FAFSA Week of ActionMebane Rash
 
List of Accredited Concrete Batching Plant.pdf
List of Accredited Concrete Batching Plant.pdfList of Accredited Concrete Batching Plant.pdf
List of Accredited Concrete Batching Plant.pdfisabel213075
 
KCD Costa Rica 2024 - Nephio para parvulitos
KCD Costa Rica 2024 - Nephio para parvulitosKCD Costa Rica 2024 - Nephio para parvulitos
KCD Costa Rica 2024 - Nephio para parvulitosVictor Morales
 
Robotics Group 10 (Control Schemes) cse.pdf
Robotics Group 10  (Control Schemes) cse.pdfRobotics Group 10  (Control Schemes) cse.pdf
Robotics Group 10 (Control Schemes) cse.pdfsahilsajad201
 
Paper Tube : Shigeru Ban projects and Case Study of Cardboard Cathedral .pdf
Paper Tube : Shigeru Ban projects and Case Study of Cardboard Cathedral .pdfPaper Tube : Shigeru Ban projects and Case Study of Cardboard Cathedral .pdf
Paper Tube : Shigeru Ban projects and Case Study of Cardboard Cathedral .pdfNainaShrivastava14
 
Comprehensive energy systems.pdf Comprehensive energy systems.pdf
Comprehensive energy systems.pdf Comprehensive energy systems.pdfComprehensive energy systems.pdf Comprehensive energy systems.pdf
Comprehensive energy systems.pdf Comprehensive energy systems.pdfalene1
 
Turn leadership mistakes into a better future.pptx
Turn leadership mistakes into a better future.pptxTurn leadership mistakes into a better future.pptx
Turn leadership mistakes into a better future.pptxStephen Sitton
 
Artificial Intelligence in Power System overview
Artificial Intelligence in Power System overviewArtificial Intelligence in Power System overview
Artificial Intelligence in Power System overviewsandhya757531
 
11. Properties of Liquid Fuels in Energy Engineering.pdf
11. Properties of Liquid Fuels in Energy Engineering.pdf11. Properties of Liquid Fuels in Energy Engineering.pdf
11. Properties of Liquid Fuels in Energy Engineering.pdfHafizMudaserAhmad
 
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMS
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMSHigh Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMS
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMSsandhya757531
 
Computer Graphics Introduction, Open GL, Line and Circle drawing algorithm
Computer Graphics Introduction, Open GL, Line and Circle drawing algorithmComputer Graphics Introduction, Open GL, Line and Circle drawing algorithm
Computer Graphics Introduction, Open GL, Line and Circle drawing algorithmDeepika Walanjkar
 
Novel 3D-Printed Soft Linear and Bending Actuators
Novel 3D-Printed Soft Linear and Bending ActuatorsNovel 3D-Printed Soft Linear and Bending Actuators
Novel 3D-Printed Soft Linear and Bending ActuatorsResearcher Researcher
 
TechTAC® CFD Report Summary: A Comparison of Two Types of Tubing Anchor Catchers
TechTAC® CFD Report Summary: A Comparison of Two Types of Tubing Anchor CatchersTechTAC® CFD Report Summary: A Comparison of Two Types of Tubing Anchor Catchers
TechTAC® CFD Report Summary: A Comparison of Two Types of Tubing Anchor Catcherssdickerson1
 
Gravity concentration_MI20612MI_________
Gravity concentration_MI20612MI_________Gravity concentration_MI20612MI_________
Gravity concentration_MI20612MI_________Romil Mishra
 
Main Memory Management in Operating System
Main Memory Management in Operating SystemMain Memory Management in Operating System
Main Memory Management in Operating SystemRashmi Bhat
 

Kürzlich hochgeladen (20)

DEVICE DRIVERS AND INTERRUPTS SERVICE MECHANISM.pdf
DEVICE DRIVERS AND INTERRUPTS  SERVICE MECHANISM.pdfDEVICE DRIVERS AND INTERRUPTS  SERVICE MECHANISM.pdf
DEVICE DRIVERS AND INTERRUPTS SERVICE MECHANISM.pdf
 
Python Programming for basic beginners.pptx
Python Programming for basic beginners.pptxPython Programming for basic beginners.pptx
Python Programming for basic beginners.pptx
 
FUNCTIONAL AND NON FUNCTIONAL REQUIREMENT
FUNCTIONAL AND NON FUNCTIONAL REQUIREMENTFUNCTIONAL AND NON FUNCTIONAL REQUIREMENT
FUNCTIONAL AND NON FUNCTIONAL REQUIREMENT
 
Prach: A Feature-Rich Platform Empowering the Autism Community
Prach: A Feature-Rich Platform Empowering the Autism CommunityPrach: A Feature-Rich Platform Empowering the Autism Community
Prach: A Feature-Rich Platform Empowering the Autism Community
 
US Department of Education FAFSA Week of Action
US Department of Education FAFSA Week of ActionUS Department of Education FAFSA Week of Action
US Department of Education FAFSA Week of Action
 
List of Accredited Concrete Batching Plant.pdf
List of Accredited Concrete Batching Plant.pdfList of Accredited Concrete Batching Plant.pdf
List of Accredited Concrete Batching Plant.pdf
 
KCD Costa Rica 2024 - Nephio para parvulitos
KCD Costa Rica 2024 - Nephio para parvulitosKCD Costa Rica 2024 - Nephio para parvulitos
KCD Costa Rica 2024 - Nephio para parvulitos
 
Robotics Group 10 (Control Schemes) cse.pdf
Robotics Group 10  (Control Schemes) cse.pdfRobotics Group 10  (Control Schemes) cse.pdf
Robotics Group 10 (Control Schemes) cse.pdf
 
Paper Tube : Shigeru Ban projects and Case Study of Cardboard Cathedral .pdf
Paper Tube : Shigeru Ban projects and Case Study of Cardboard Cathedral .pdfPaper Tube : Shigeru Ban projects and Case Study of Cardboard Cathedral .pdf
Paper Tube : Shigeru Ban projects and Case Study of Cardboard Cathedral .pdf
 
Comprehensive energy systems.pdf Comprehensive energy systems.pdf
Comprehensive energy systems.pdf Comprehensive energy systems.pdfComprehensive energy systems.pdf Comprehensive energy systems.pdf
Comprehensive energy systems.pdf Comprehensive energy systems.pdf
 
Turn leadership mistakes into a better future.pptx
Turn leadership mistakes into a better future.pptxTurn leadership mistakes into a better future.pptx
Turn leadership mistakes into a better future.pptx
 
Artificial Intelligence in Power System overview
Artificial Intelligence in Power System overviewArtificial Intelligence in Power System overview
Artificial Intelligence in Power System overview
 
11. Properties of Liquid Fuels in Energy Engineering.pdf
11. Properties of Liquid Fuels in Energy Engineering.pdf11. Properties of Liquid Fuels in Energy Engineering.pdf
11. Properties of Liquid Fuels in Energy Engineering.pdf
 
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMS
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMSHigh Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMS
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMS
 
Computer Graphics Introduction, Open GL, Line and Circle drawing algorithm
Computer Graphics Introduction, Open GL, Line and Circle drawing algorithmComputer Graphics Introduction, Open GL, Line and Circle drawing algorithm
Computer Graphics Introduction, Open GL, Line and Circle drawing algorithm
 
Novel 3D-Printed Soft Linear and Bending Actuators
Novel 3D-Printed Soft Linear and Bending ActuatorsNovel 3D-Printed Soft Linear and Bending Actuators
Novel 3D-Printed Soft Linear and Bending Actuators
 
TechTAC® CFD Report Summary: A Comparison of Two Types of Tubing Anchor Catchers
TechTAC® CFD Report Summary: A Comparison of Two Types of Tubing Anchor CatchersTechTAC® CFD Report Summary: A Comparison of Two Types of Tubing Anchor Catchers
TechTAC® CFD Report Summary: A Comparison of Two Types of Tubing Anchor Catchers
 
Gravity concentration_MI20612MI_________
Gravity concentration_MI20612MI_________Gravity concentration_MI20612MI_________
Gravity concentration_MI20612MI_________
 
Main Memory Management in Operating System
Main Memory Management in Operating SystemMain Memory Management in Operating System
Main Memory Management in Operating System
 
Designing pile caps according to ACI 318-19.pptx
Designing pile caps according to ACI 318-19.pptxDesigning pile caps according to ACI 318-19.pptx
Designing pile caps according to ACI 318-19.pptx
 

Selected solutions 14

  • 1. Chapter 14 1 PROPRIETARY MATERIAL. © The McGraw-Hill Companies, Inc. All rights reserved. No part of this solution may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to students, teachers and educators permitted by McGraw-Hill for their individual courses. As a student, you are invited to refer to and learn from this solution, but you should not submit it as your own work for a course in which you are enrolled. Such action is considered plagiarism SOLUTIONS TO SELECTED PROBLEMS Student: You should work the problem completely before referring to the solution. CHAPTER 14 Solutions included for problems 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, and 49 14.1 Inflated dollars are converted into constant value dollars by dividing by one plus the inflation rate per period for however many periods are involved. 14.4 Then-current dollars = 10,000(1 + 0.07)10 = $19,672 14.7 CV0 for amt in yr 1 = 13,000/(1 + 0.06)1 = $12,264 CV0 for amt in yr 2 = 13,000/(1 + 0.06)2 = $11,570 CV0 for amt in yr 3 = 13,000/(1 + 0.06)3 = $10,915 14.10 (a) At a 56% increase, $1 would increase to $1.56. Let x = annual increase. 1.56 = (1 + x)5 1.560.2 = 1 + x 1.093 = 1 + x x = 9.3% per year (b) Amount greater than inflation rate: 9.3 – 2.5 = 6.8% per year 14.13 if = 0.04 + 0.27 + (0.04)(0.27) = 32.08% per year 14.16 For this problem, if = 4% per month and i = 0.5% per month 0.04 = 0.005 + f + (0.005)(f) 1.005f = 0.035 f = 3.48% per month
  • 2. Chapter 14 2 PROPRIETARY MATERIAL. © The McGraw-Hill Companies, Inc. All rights reserved. No part of this solution may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to students, teachers and educators permitted by McGraw-Hill for their individual courses. As a student, you are invited to refer to and learn from this solution, but you should not submit it as your own work for a course in which you are enrolled. Such action is considered plagiarism 14.19 Buying power = 1,000,000/(1 + 0.03)27 = $450,189 14.22 (a) PWA = -31,000 – 28,000(P/A,10%,5) + 5000(P/F,10%,5) = -31,000 – 28,000(3.7908) + 5000(0.6209) = $-134,038 PWB = -48,000 – 19,000(P/A,10%,5) + 7000(P/F,10%,5) = -48,000 – 19,000(3.7908) + 7000(0.6209) = $-115,679 Select Machine B (b) if = 0.10 + 0.03 + (0.10)(0.03) = 13.3% PWA = -31,000 – 28,000(P/A,13.3%,5) + 5000(P/F,13.3%,5) = -31,000 – 28,000(3.4916) + 5000(0.5356) = $-126,087 PWB = -48,000 – 19,000(P/A,13.3%,5) + 7000(P/F,13.3%,5) = -48,000 – 19,000(3.4916) + 7000(0.5356) = $-110,591 Select machine B 14.25 (a) New yield = 2.16 + 3.02 = 5.18% per year (b) Interest received = 25,000(0.0518/12) = $107.92 14.28 740,000 = 625,000(F/P,f,7) (F/P,f,7) = 1.184 (1 + f)7 = 1.184 f = 2.44% per year 14.31 In constant-value dollars, cost will be $40,000. 14.34 Future amount is equal to a return of if on its investment if = (0.10 + 0.04) + 0.03 + (0.1 + 0.04)(0.03) = 17.42% Required future amt = 1,000,000(F/P,17.42%,4) = 1,000,000(1.9009) = $1,900,900 Company will get more; make the investment.
  • 3. Chapter 14 3 PROPRIETARY MATERIAL. © The McGraw-Hill Companies, Inc. All rights reserved. No part of this solution may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to students, teachers and educators permitted by McGraw-Hill for their individual courses. As a student, you are invited to refer to and learn from this solution, but you should not submit it as your own work for a course in which you are enrolled. Such action is considered plagiarism 14.37 if = 0.15 + 0.06 + (0.15)(0.06) = 21.9% AW = 183,000(A/P,21.9%,5) = 183,000(0.34846) = $63,768 14.40 Find amount needed at 2% inflation rate and then find A using market rate. F = 15,000(1 + 0.02)3 = 15,000(1.06121) = $15,918 A = 15,918(A/F,8%,3) = 15,918(0.30803) = $4903 14.43 (a) For CV dollars, use i = 12% per year AWA = -150,000(A/P,12%,5) – 70,000 + 40,000(A/F,12%,5) = -150,000(0.27741) – 70,000 + 40,000(0.15741) = $-105,315 AWB = -1,025,000(0.12) – 5,000 = $-128,000 Select Machine A (b) For then-current dollars, use if if = 0.12 + 0.07 + (0.12)(0.07) = 19.84% AWA = -150,000(A/P,19.84%,5) – 70,000 + 40,000(A/F,19.84%,5) = -150,000(0.3332) – 70,000 + 40,000(0.1348) = $-114,588 AWB = -1,025,000(0.1984) – 5,000 = $-208,360 Select Machine A 14.46 Answer is (d) 14.49 Answer is (a)