The Mathematics of Money

(Darren Dugan) #1
642 Appendix A Answers to Odd-Numbered Exercises


  1. a) 72, b) 0.0594/4, c) 127.28876734,
    d) $152,746.52

  2. a) 324, b) 0.0875/12, c) 1306.53830990,
    d) $176,761.57

  3. $45,750.23

  4. $1,054.41

  5. $2,646.00

  6. $15,148.26

  7. a) $188,338.38, b) $1,643.25

  8. $164,328.61

  9. $160,304.79

  10. $468,990.49

  11. $2,024.43; $10,253.16; $69,951.09

  12. Ron $436,375.98; Don $295,490.33

  13. $233,768.53

  14. 15,809

  15. Annual: $42,041.35; semi: $43,079.38;
    quarterly: $43,622.00; monthly: $43,993.02;
    weekly $44,135.98; daily $44,179.59. Sooner
    money is deposited the better, though not much is
    gained by more frequent deposits than monthly.


Chapter 4 Section 4.3


  1. $219,130.94

  2. $762.91

  3. $326.04

  4. a) $41,576.92, b) $1,105.16

  5. $171.05

  6. $745.76

  7. $56.60

  8. $240,341.84

  9. $871,799.37


Chapter 4 Section 4.4


  1. a) $1,003,766.12, b) $790.85,
    c)$790.85

  2. $129,448.11; $171,621.15

  3. $1,320.78

  4. a) 131.56359231, b) 71.76576624

  5. 12.84926350

  6. 35.52283787

  7. a) 120, b) 0.09/12  0.0075, c) 78.94169267,
    d) $11,841.25

  8. a) 20, b) 0.05/4  0.0125, c) 17.59931613,
    d) $30,806.19

  9. a) 84, b) 0.1259/12, c) 55.64890489,
    d) $40,921.42

  10. $13,718.75

  11. $389.64

  12. $301.95

  13. $5,791,301.20

  14. $954,323.93

  15. a) $1,299.58, b) $1,736.44

  16. 13.31785901
    33. $44,029.50
    35. $338.03
    37. #4: $966.00; #5: $1,321.20. Match is not exact
    because of rounding.
    39. MONTHLY PAYMENT PER $1,000 BORROWED
    INTEREST RATE


Years 6.00% 7.00% 8.00% 9.00%

3 $30.42 $30.88 $31.34 $31.80
4 $23.49 $23.95 $24.41 $24.89
5 $19.33 $19.80 $20.28 $20.76

Chapter 4 Section 4.5

1.
Month Payment

To
Interest

To
Principle

End
Balance
1 $250.00 $175.88 $74.12 $23,375.88
2 $250.00 $175.32 $74.68 $23,301.20
3 $250.00 $174.76 $75.24 $23,225.96
4 $250.00 $174.19 $75.81 $23,150.15
5 $250.00 $173.63 $76.37 $23,073.78
6 $250.00 $173.05 $76.95 $22,996.83


  1. $140.81; interest  $54.27; principle  $86.54

  2. a) $59.59 interest, $2.91 principle; b) $59.59
    interest, $190.41 principle; c) 196 months at
    $62.50, 18 months at $250

  3. $3,496.06

  4. $10,013.24

  5. a) $787.20, $25,341.12; b) $134,661.32;
    c) $907.94; d) no, because she has extended the
    term to 24 years for all of her debts

  6. $157.27; $4,533.12

  7. Interest $34,456.25; principle $25,278.75;
    remaining $1,824,721.25

  8. $731,245.64


Chapter 4 Section 4.6


  1. a) $21,140.69, b) $153,156.82

  2. $104,688.63

  3. $1,442,015; $1,422,515

  4. $90,754.11; $998.84

  5. $155,055.62

  6. $1,719,547


Chapter 4 Section 4.7


  1. $5,565,041

  2. $199,809

  3. $166,607

  4. $18,361,161

  5. $85.86

  6. a) $817.76, b) nothing!


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