Annual
April 14, 2008 
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 JUDGE DREDD ANNUAL 1987 FACE OF THE FUTURE LAW $15.00 Buy It Now --> Ends In 35m <-- |
 Wonder Woman Year One 1995 Annual Near mint $1.49 Buy It Now --> Ends In 35m <-- |
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 SAVAGE TALES Annual 1 1975 Marvel $20.00 Buy It Now --> Ends In 1h 39m <-- |
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 X FORCE ANNUAL 1 1992 SHATTERSHOT PART 4 $0.29 --> Ends In 2h 9m <-- |
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 The X Men Annual 3 VF+ to VF NM $15.95 Buy It Now --> Ends In 2h 13m <-- |
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 47 COMIC LOT MARVEL TEAM UP 141 SPIDER MAN ANNUAL 1 XMEN WOLVERINE FREE SHIPPING $25.00 --> Ends In 2h 14m <-- |
 Daredevil Annual 7 The Von Strucker Gambit Part 1 $0.99 Buy It Now --> Ends In 2h 14m <-- |
 Nickelodeon Dora the Explorer the Annual Superbook $4.19 Buy It Now --> Ends In 2h 16m <-- |
 Superman Annual 2 $39.99 --> Ends In 2h 16m <-- |
 Superman Annual 5 $19.99 --> Ends In 2h 17m <-- |
 BATMAN ANNUAL 15 1991 JOKER THE LAST BATMAN STORY $2.99 Buy It Now --> Ends In 2h 22m <-- |
 Batman Adventures Annual 2 1995 FREE SHIPPING $9.99 Buy It Now --> Ends In 2h 22m <-- |
 Superman Adventures Annual 1 1997 FREE SHIPPING $12.99 Buy It Now --> Ends In 2h 22m <-- |
 DC The Green Lantern comics vol 2 Annual 9 NM $2.00 Buy It Now --> Ends In 2h 23m <-- |
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 ARCHIE DIGEST LIBRARY ANNUAL DIGEST 16 VINTAGE BOOKS $35.14 Buy It Now --> Ends In 2h 26m <-- |
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 Captain AMERICA Annual 8 1986 Marvel Comics $29.00 Buy It Now --> Ends In 2h 29m <-- |
 Batman 07 Annual 26 VF Y0 $3.80 Buy It Now --> Ends In 2h 30m <-- |
 61 COMIC LOT MARVEL TEAM UP 141 SPIDER MAN ANNUAL 1 XMEN HULK FREE SHIPPING $25.00 --> Ends In 2h 36m <-- |
 Kirby Jack FANTASTIC FOUR ANNUAL 3 PG 12 Original Art $12,000.00 Buy It Now --> Ends In 2h 39m <-- |
 Captain America Annual 1 CGC 94 1971 Avengers cm $195.00 Buy It Now --> Ends In 2h 40m <-- |
 Silver Age DC Comics 1963 GIANT FLASH ANNUAL 1 with PIN UP BELOW GUIDE Price $40.00 Buy It Now --> Ends In 2h 41m <-- |
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 Kirby Jack FANTASTIC FOUR ANNUAL 3 PG 14 Original Art $12,500.00 Buy It Now --> Ends In 2h 43m <-- |
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 DC FIRESTORM THE NUCLEAR MAN V1 13 BOOK LOT 2 91 ANNUAL 1 2 F VF 1982 $11.95 Buy It Now --> Ends In 2h 45m <-- |
 The Avengers Avengers Annuals 6 8 and 9 in VF++ condition Check the photos $0.99 --> Ends In 2h 45m <-- |
 Green Lantern Annual No 4 1995 $3.50 Buy It Now --> Ends In 2h 47m <-- |
Japan defends honor in Mito's annual 'natto' speed-eating contest
MITO, Ibaraki Pref. (Kyodo) The annual "natto" fermented soybean speed-eating contest was held Saturday in Mito, Ibaraki Prefecture, drawing 72 contestants including competitive eating regulars from various parts of Japan and eight people from overseas countries such as Australia. Participants in the preliminaries had to eat about 100 grams of sticky natto beans mixed with a bowl of about 310 ...
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What is the appropriate stated annual interest rate for the following?
Question:
If The effective monthly interest rate is 5%, then match each of the following compounding frequencies with its appropriate stated annual interest rate:
Annual compounding
Quarterly compounding
Monthly compounding
Daily compounding
58.9%
68.0%
58.6%
60.0%
64.7%
63.1%
79.6%
Wouldn't they all be 60.0% if we are looking for the STATED annual interest rate? In other words, for the stated rate, it shouldn't matter what the compounding frequency is.
Answer:
First, we need to convert the effective MONTHLY rate of 5% to an effective ANNUAL rate. Let i = effective annual rate. We need to solve the following formula for i:
1 + i = (1.05)^12
i = .7959, or about 79.6%.
Thus, the effective annual rate is 79.6%
I assume that "stated annual rate" is the same thing as "nominal interest rate".
To find the stated annual rate, we will solve the following formula for i^(m):
i^(m) = m * [(1 + i)^(1/m) - 1] where
i^(m) is the stated rate compounded m times per year
i is the effective annual rate, expressed in decimal form
1. annual compounding
This is the same thing as the effective annual rate. Therefore, i^(1) = 79.6%.
2. quarterly compounding
i^(4) = 4 * [1.7959^(1/4) - 1] = .6305, or 63.1%
3. monthly compounding
i^(12) = 12* [1.7959^(1/12) - 1] = .6, or 60%
We could have also solved the following formula for i^(m):
i^(m)/m = j, where
i^(m) is the stated rate compounded m times per year
j is the effective rate for 1/m of a year
i^(12)/12 = .05
i^(12) = .6, or 60%
4. daily compounding
i^(365) = 365 * [1.7959^(1/365) - 1] = .586, or 58.6%
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