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Date Posted: 18:45:30 09/30/01 Sun
Author: Dr. D.
Subject: Re: Effective Rate vs. Nominal Rate
In reply to: Kymberly 's message, "Effective Rate vs. Nominal Rate" on 16:40:00 09/30/01 Sun

The general rule is that the rate must match the payment interval.

For example - assume you were investing $100 each year in an account that paid a a 10% nominal rate with semi-annual compounding. Each payment would grow by 10.25% by the time the next payment was made. So, in this case, you would use the effective rate of 10.25%, since that's the actual rate of interest over the period in question (There's no way to adjust the payment to a semi-annual payment, so you must adjust the rate to an annual one).

To build on the previous example, assume you had a 16% annual rate of interest with quarterly compounding, but made payments semi-annually. IN this case, the payment interval is 6 months. The rate over 6 months is actually [(1.04) squared - 1] = 8.16% (i.e. between each payment, you receive 4% per period for two periods). In this case, it's exactly like an annual payment annuity with an 8% nominal rate with semiannual compounding.

Hope this helps.


>How do you know when to use the effective rate and
>when to use the nominal rate?

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