OG12th PS 78

littlecynthia

Leona bought a 1-year, $10,000 certificate of deposit that paid interest at an annual rate of 8% compunded semiannually. What was the total amount of interest paid on this certificate at maturity?
A $10,464
B $      864
C $     816
D $     800
E $     480

主要是不太理解boldface部分 希望NN给我解答~！
THX~!!!

瓜娃子

感谢lz和Leliolevine解答

hookem09

A = P* (1+ r/n)^(n/t).

P = 10,000
r = 0.08 (8%)
n = 2 (semiannually = 2, quarterly = 4)
t = 1 (one year)

elizaben

O(∩_∩)O谢谢啊。。我也是这道题没弄明白呢

littlecynthia

明白啦~！
THX~!!
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对的。所以答案是816。

-- by 会员 初初的梦想 (2010/9/1 10:42:18)

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littlecynthia

I GOT IT~!
THX

相当于半年的compound rate是4%，一年之后就乘以（1+4%）^2,两年之后是（1+4%）^4

呃 还是没太明白~~！
是(1+4%)的平方?

-- by 会员 littlecynthia (2010/8/31 21:21:19)

-- by 会员 Leliolevine (2010/9/1 10:27:49)

初初的梦想

呃 还是没太明白~~！
是(1+4%)的平方?

-- by 会员 littlecynthia (2010/8/31 21:21:19)

对的。所以答案是816。

Leliolevine

相当于半年的compound rate是4%，一年之后就乘以（1+4%）^2,两年之后是（1+4%）^4

呃 还是没太明白~~！
是(1+4%)的平方?

-- by 会员 littlecynthia (2010/8/31 21:21:19)

littlecynthia

呃 还是没太明白~~！
是(1+4%)的平方?

Leliolevine

就是说年利率是8%，每半年复合一次，一年就是(1+4%)^2