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Submitted By mariahroberto
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Pages 5
Mariah Roberto
January 27, 2014
Week 2 Homework

P 3-1. You have $1,500 to invest today at 7% interest compounded annually.

a. How much will you have accumulated in the account at the end of the following number of years?

1. three years
(yr. 1) $1,500 x (1 + 0.07) = $1,605
(yr. 2) $1,605 x (1 + 0.07) = $1,717.35
(yr. 3) $1,717.35 x (1 + 0.07) = $1,837.5645 =
$1,837.56

2. six years
(yr. 4) $1,837.56 x (1 + 0.07) = $1,966.19
(yr. 5) $1,966.19 x (1 + 0.07) = $2,103.82
(yr. 6) $2,103.82 x (1 + 0.07) = $2,251.09
$2,251.09

3. nine years
(yr.7) $2,251.10 x (1 + 0.07) = $2,408.68
(yr. 8) $2,408.68 x (1 + 0.07) = $2,577.29
(yr. 9) $2,577.29 x (1 + 0.07) = $2,757.70
$2,757.70

b. Use your findings in part (a) to calculate the amount of interest earned in

1. years 1 to 3
$1,837.56 - $1,500 = $337.56

2. years 4 to 6
$2,251.10 - $1,837.56 = $413.54

3. years 7 to 9
$2,757.70 - $2,251.10 = $506.60

c. Compare and contrast your findings in part (b). Explain why the amount of interest earned increases in each succeeding three-year period.
Simple interest is the interest paid only on the original principal. Compound interest is interest not only earned on the original principal, but also all previously earned interest.

P 3-2. Dixon Shuttleworth has a large sum of money that he wants to invest to finance his retirement. He has been presented with three options. The first investment offers a 5% return for the first five years, a 10% return for the next five years, and a 20% return thereafter. The second investment offers 10% for the first ten years and 15% thereafter. The third investment offers a constant 12% rate of return. Determine which of these investments is the best for Dixon if he plans to retire in the following number of years.

a. fifteen years
Investment #1: (1.05)5 x (1.10)5 x (1.20)5 = 5.115
Investment #2:

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