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Chapter 1 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 1
Solutions included for problems 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40,
43, 46, and 49
1.1 Time value of money means that there is a certain worth in having money and the
worth changes as a function of time.
1.4 Nearest, tastiest, quickest, classiest, most scenic, etc
1.7 Minimum attractive rate of return is the lowest rate of return (interest rate) that
companies or individuals consider to be high enough to induce them to invest their
money.
1.10 Rate of increase = [(29 – 22)/22]*100 = 31.8%
1.13 Profit = 8 million*0.28 = $2,240,000
1.16 (a) Equivalent future amount = 10,000 + 10,000(0.08)
= 10,000(1 + 0.08)
= $10,800
(b) Equivalent past amount: P + 0.08P = 10,000
1.08P = 10,000
P = $9259.26
1.19 80,000 + 80,000(i) = 100,000
i = 25%
1.22 Simple: 1,000,000 = 500,000 + 500,000(i)(5)
i = 20% per year simple
Compound: 1,000,000 = 500,000(1 + i)5
(1 + i)5
= 2.0000
(1 + i) = (2.0000)0.2
i = 14.87%
Chapter 1 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.
1.25 Plan 1: Interest paid each year = 400,000(0.10)
= $40,000
Total paid = 40,000(3) + 400,000
= $520,000
Plan 2: Total due after 3 years = 400,000(1 + 0.10)3
= $532,400
Difference paid = 532,400 – 520,000
= $12,400
1.28 (a) FV(i%,n,A,P) finds the future value, F
(b) IRR(first_cell:last_cell) finds the compound interest rate, i
(c) PMT(i%,n,P,F) finds the equal periodic payment, A
(d) PV(i%,n,A,F) finds the present value, P.
1.31 For built-in Excel functions, a parameter that does not apply can be left blank when
it is not an interior one. For example, if there is no F involved when using the PMT
function to solve a particular problem, it can be left blank because it is an end
function. When the function involved is an interior one (like P in the PMT
function), a comma must be put in its position.
1.34 Highest to lowest rate of return is as follows: Credit card, bank loan to new
business, corporate bond, government bond, interest on checking account
1.37 End of period convention means that the cash flows are assumed to have occurred
at the end of the period in which they took place.
1.40 The cash flow diagram is:
1.43 4 = 72/i
i = 18% per year
1.46 2P = P + P(0.05)(n)
n = 20
Answer is (d)
1.49 Answer is (c)
0 1 2 3 4 5
P = ?
$40,000
i = 15%

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Selected solutions 1

  • 1. Chapter 1 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 1 Solutions included for problems 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, and 49 1.1 Time value of money means that there is a certain worth in having money and the worth changes as a function of time. 1.4 Nearest, tastiest, quickest, classiest, most scenic, etc 1.7 Minimum attractive rate of return is the lowest rate of return (interest rate) that companies or individuals consider to be high enough to induce them to invest their money. 1.10 Rate of increase = [(29 – 22)/22]*100 = 31.8% 1.13 Profit = 8 million*0.28 = $2,240,000 1.16 (a) Equivalent future amount = 10,000 + 10,000(0.08) = 10,000(1 + 0.08) = $10,800 (b) Equivalent past amount: P + 0.08P = 10,000 1.08P = 10,000 P = $9259.26 1.19 80,000 + 80,000(i) = 100,000 i = 25% 1.22 Simple: 1,000,000 = 500,000 + 500,000(i)(5) i = 20% per year simple Compound: 1,000,000 = 500,000(1 + i)5 (1 + i)5 = 2.0000 (1 + i) = (2.0000)0.2 i = 14.87%
  • 2. Chapter 1 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. 1.25 Plan 1: Interest paid each year = 400,000(0.10) = $40,000 Total paid = 40,000(3) + 400,000 = $520,000 Plan 2: Total due after 3 years = 400,000(1 + 0.10)3 = $532,400 Difference paid = 532,400 – 520,000 = $12,400 1.28 (a) FV(i%,n,A,P) finds the future value, F (b) IRR(first_cell:last_cell) finds the compound interest rate, i (c) PMT(i%,n,P,F) finds the equal periodic payment, A (d) PV(i%,n,A,F) finds the present value, P. 1.31 For built-in Excel functions, a parameter that does not apply can be left blank when it is not an interior one. For example, if there is no F involved when using the PMT function to solve a particular problem, it can be left blank because it is an end function. When the function involved is an interior one (like P in the PMT function), a comma must be put in its position. 1.34 Highest to lowest rate of return is as follows: Credit card, bank loan to new business, corporate bond, government bond, interest on checking account 1.37 End of period convention means that the cash flows are assumed to have occurred at the end of the period in which they took place. 1.40 The cash flow diagram is: 1.43 4 = 72/i i = 18% per year 1.46 2P = P + P(0.05)(n) n = 20 Answer is (d) 1.49 Answer is (c) 0 1 2 3 4 5 P = ? $40,000 i = 15%