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#17577 - 10/16/02 10:25 PM Re: CD Daily Compound
Andy_Z Offline
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FYI, I hear the APY program just went under a major overhaul by the regulators. It is being released to examiners this month and hopefully it will be available to us, "within a reasonable amount of time".

I don't know if options discussed above will be included or not.
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#17578 - 10/17/02 12:03 AM Re: CD Daily Compound
David Dickinson Offline
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Central City, NE
BrooksB: Yes to all you said.

Steve: I don't agree, but I can't make my case any clearer than the (long) post I already gave. I do want to comment I didn't (& you can't) use the terms "crediting" and "compounding" interchangeably. I tried to explain that there is a big difference between the two (I noticed that I left out a few words in my post).
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#17579 - 10/31/02 01:51 PM Re: CD Daily Compound
John Burnett Offline
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Cape Cod
I'll add two cents here: The regulation requires, when stating how interest shall be calculated for input to the APY formula, that, "In determining the total interest figure to be used in the formula, institutions shall assume that all principal and interest remain on deposit for the entire term and that no other transactions (deposits or withdrawals) occur during the term."

Footnote 3 to Appendix A says: "This assumption shall not be used if an institution requires, as a condition of the account, that consumers withdraw interest during the term. In such a case, the interest (and annual percentage yield calculation) shall reflect that requirement."

I read these requirements to mean that, if the bank has a product that compounds and pays under certain rules, the APY to be disclosed must reflect those rules, regardless of the fact that the consumer has obtained an exception by asking that interest be paid out periodically during the term of the deposit. Only if the bank requires the payout does the APY reflect the payout.

I agree that the compounding and crediting frequency must reflect the actual (as contrasted with the "as designed") way the specific account works.

The apparent conflict between the disclosure of the actual compounding and crediting frequency and the "as designed" APY is reconciled by the required disclosure that the APY assumes that interest stays with the account.

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#17580 - 01/24/03 06:18 PM Re: CD Daily Compound
DebbieC Offline
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Joined: Jul 2001
Posts: 66
Owensboro, KY USA
I know I should know this, but what's the difference between daily compounding and continuous compounding?

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#17581 - 01/27/03 05:00 PM Re: CD Daily Compound
John Burnett Offline
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John Burnett
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Posts: 39,868
Cape Cod
Daily compounding uses 1/365 of the interest rate on each day, adding the result to the principal and doing it all over again.

Continuous compounding splits the day up into theoretically an infinite number of pieces, and then calculates the interest for each little piece, compounding each time.

You know from experience that daily compounding gives you a higher APY than monthly compounding (although it doesn't make a big difference at today's interest rates). Imagine compounding each hour, or each minute, or each second (that's 86,400 times as often as daily compounding), and so on.

No one really cares now that there are no longer any caps on interest rates. But back prior to March 1986 when certain rates were capped, some banks wanted to be able to say they paid absolutely the most interest allowed by law, and the concept of continuous compounding was introduced and touted.
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